If all three conditions are met, then the two-sample t-test can be used to test the hypotheses.
For testing the hypotheses in part A, a two-sample t-test for independent means can be used to compare the mean speed of the baseball line drive using the old technique to the mean speed using the new technique. The conditions for the t-test are:
Independence: The 42 hits using the new technique should be independent of the hits using the old technique.
Normality: The speeds using the new and old techniques should be normally distributed. This can be checked by creating a histogram of the speeds and checking for a roughly bell-shaped curve.
Equal variances: The variance of the speeds using the new technique should be approximately equal to the variance of the speeds using the old technique. This can be checked by using a statistical test for equal variances, such as Levene's test.
If all three conditions are met, then the two-sample t-test can be used to test the hypotheses.
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Kathleen has a fair die with 6 different-colored sides:red,yellow,blue,green,orange, and purple. She rolls the die 120 times. The die lands on the color green 18 times. Based on Kathleen's results, The experimental probability of rolling the color green is?
The Experimental probability of rolling the color green is 0.15
How to calculate the experimental probability of rolling the color green isThe experimental probability of rolling the color green can be calculated by dividing the number of times the die lands on green by the total number of rolls:
Experimental probability of green = Number of green rolls / Total number of rolls
Experimental probability of green = 18 / 120
Experimental probability of green = 0.15 or 15%
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The rule is x→y=−2x. Can you mark all the points that fit the rule on a coordinate plane?
Yes, the points that fit the rule x→y=−2x can be plotted or marked on a coordinate plane, and will form a straight line passing through the origin with a slope of -2.
The rule x→y=−2x means that for every value of x, the corresponding value of y is equal to -2 times x. To plot the points that fit this rule, we can choose some values of x, substitute them into the equation, and then plot the resulting points on the coordinate plane.
For example, if we choose x=1, then y=−2x=−2(1)=−2. So the point that fits the rule is (1, −2). Similarly, if we choose x=2, then y=−2x=−2(2)=−4. So the point that fits the rule is (2, −4).
We can continue this process for other values of x, and plot all the resulting points on the coordinate plane. The resulting graph will be a straight line that passes through the origin, with a slope of -2. This means that all the points that fit the rule will lie on this line.
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Given ⊙E with diameter AC, m∠CED=(3x)°, (m∠BEC=3x+2)°, and m∠AEB=(6x+7)°. Find x and mBD⌢
The following is the value of x and mBD: x = 83/6 and mBD⌢ = 83°.
Given circle E (⊙E) with diameter AC, we have the following information:
1. m∠CED = (3x)°
2. m∠BEC = (3x + 2)°
3. m∠AEB = (6x + 7)°
Since AC is the diameter of the circle, the inscribed angle ∠AEB is subtended by the diameter and thus forms a semicircle. In a semicircle, the inscribed angle is always a right angle. Therefore, m∠AEB = 90°. We can now set up the equation:
(6x + 7)° = 90°
Solving for x:
6x = 83
x = 83/6
Now, we need to find the measure of arc BD (mBD⌢). We can do this by finding the measure of angle BEC, as the measure of an inscribed angle is half the measure of its intercepted arc.
m∠BEC = (3x + 2)° = (3(83/6) + 2)° = (83/2)°
Since the measure of an inscribed angle is half the measure of its intercepted arc:
mBD⌢ = 2(m∠BEC) = 2(83/2)° = 83°
So, x = 83/6 and mBD⌢ = 83°.
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A ferry is used to transport guests from the dock to two hotels across a large lake. The hotels are located 550 m apart. The first hotel is at a 49 angle between the dock and the second hotel. The second hotel is at a 56 angle between the dock and the first hotel. How far is each hotel from the dock?
The first hotel is approximately 0.6246 meters away from the dock, and the second hotel is approximately 0.4931 meters away from the dock.
To solve this problem, we can use trigonometry and create a system of equations based on the given angles and distances. Let's assume the distance between the dock and the first hotel is x meters and the distance between the dock and the second hotel is y meters.
Using the law of sines, we can relate the angles and distances:
For the first hotel:
sin(49°) = y / x ...(Equation 1)
For the second hotel:
sin(56°) = x / y ...(Equation 2)
We can rearrange Equation 1 to solve for y:
y = x * sin(49°)
Substituting this value of y into Equation 2:
sin(56°) = x / (x * sin(49°))
sin(56°) = 1 / sin(49°)
Now, we can solve for x by isolating it:
x = sin(56°) * sin(49°)
Plugging in the values and evaluating the equation:
x = 0.8290 * 0.7539
x ≈ 0.6246
Therefore, the distance between the dock and the first hotel (x) is approximately 0.6246 meters.
To find the distance between the dock and the second hotel (y), we can substitute this value back into Equation 1:
y = 0.6246 * sin(49°)
y ≈ 0.4931
Hence, the distance between the dock and the second hotel (y) is approximately 0.4931 meters.
In summary, the first hotel is approximately 0.6246 meters away from the dock, and the second hotel is approximately 0.4931 meters away from the dock.
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Question
Select the correct answer from each drop-down menu. Nick bought apples at a farmers market where 5 apples cost $4. 45. If Nick bought 7 apples, he paid $. If Nick paid $9. 79 for some apples, he bought
apples.
Nick bought 11 apples for $9.79.
Nick paid $6.23 for 7 apples, and he bought 9 apples for $9.79.
Nick bought apples at a farmers market where 5 apples cost $4. 45. If Nick bought 7 apples, he paid $. To find the cost of one apple, we divide $4.45 by 5, which gives us $0.89 per apple.
For 7 apples, we multiply $0.89 by 7, which gives us $6.23.
To find the number of apples Nick bought for $9.79, we set up a proportion:
5 apples/$4.45 = x apples/$9.79
Solving for x, we get x = (9.79 × 5) / 4.45 ≈ 11
Therefore, Nick bought 11 apples for $9.79.
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Complete the statements below to explain two ways to convert miles to kilometers.
1
mile ≈1.61
kilometers
1
kilometer ≈0.62
mile
CLEARCHECK
Kilometers are
miles.
That means the number of kilometers in a distance will always be
the number of miles in that distance.
We can convert miles to kilometers by
by 1.61
.
We can convert miles to kilometers by
by 0.62
.
The number of miles travelled is 6.2 miles.
What is Kilometer ?
A kilometer (km) is a unit of length or distance measurement in the metric system. It is equivalent to 1,000 meters or approximately 0.62 miles. The prefix "kilo" means "thousand", so one kilometer is equal to 1,000 meters.
Completing the statements:
Kilometers are a larger unit of distance measurement compared to miles. That means the number of kilometers in a distance will always be greater than the number of miles in that distance.
We can convert miles to kilometers by multiplying the number of miles by 1.61. For example, if we have a distance of 5 miles, we can convert it to kilometers as:
5 × 1.61 = 8.05 kilometers
We can also convert kilometers to miles by multiplying the number of kilometers by 0.62. For example, if we have a distance of 10 kilometers, we can convert it to miles as:
10 × 0.62 = 6.2 miles
Therefore, The number of miles travelled is 6.2 miles.
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The domain of ( g o f o g ) ( x ), where "o" denotes composition of functions is ____.
The domain of (g o f o g)(x), where "o" denotes composition of functions is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.
To determine the domain of the function (g o f o g)(x), we need to consider the domains of the functions g(x) and f(x), as well as the composition of these functions.
Let's assume that the domain of g(x) is G and the domain of f(x) is F.
Since (g o f o g)(x) means that we apply the function g to f(x), and then apply g to the result again, we need to ensure that the output of f(x) is a valid input for g(x).
Therefore, the domain of (g o f o g)(x) is the set of all values of x in F such that g(f(x)) is in G, and g(y) is in G for all y in the range of g(f(x)).
In other words, the domain of (g o f o g)(x) is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.
Thus, the domain of (g o f o g)(x) is the set of all x in F such that f(x) is in the domain of g, and g(f(x)) is in the domain of g.
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if you increase your reading speed so that each page takes you 30 seconds less than it did before, and you begin reading 20 minutes per day, how many 200 page books can you now read in a year
We can read 91 books in a year if you increase your reading speed so that each page takes you 30 seconds less than it did before.
How is the number of books calculated?Now If each page now takes 30 seconds less to read than before,
then you will save 30*200 = 6000 seconds (or 100 minutes) on each book.
So, the time it will take you to read a 200-page book will be
20 minutes - 100 minutes = -80 minutes,
which means you will finish a 200-page book in 80 minutes (or 1 hour and 20 minutes).
In a year, there are 365 days. If you read for 20 minutes per day, then you will read for a total of
365 * 20 = 7300 minutes (or 121.67 hours) in a year.
Since you can finish a 200-page book in 80 minutes, you can read 7300/80 = 91.25 books in a year.
However, since you cannot read a fraction of a book, the maximum number of 200-page books you can read in a year is 91 books.
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Complete question is :
If you increase your reading speed so that each page takes you 30 seconds less than it did before,
and you begin reading 20 minutes per day,
How many 200 page books can you now read in a year?
Answer this following question
y = sin x + cos x / csc x
The expression equation y = sin x + cos x / csc x can be simplified to y = cos x sin^2 x + cos^2 x.
To simplify the expression, we can first replace csc x with 1/sin x. This gives us y = sin x cos x + cos^2 x / sin x.
Next, we can factor out cos x from the numerator of the second term to get y = cos x (sin x + cos x) / sin x.
Using the identity sin^2 x + cos^2 x = 1, we can replace sin^2 x with 1 - cos^2 x in the numerator of the first term. This gives us y = cos x (1 - cos^2 x) / sin x + cos x (sin x + cos x) / sin x.
Simplifying the expression further, we get y = cos x (1 - cos^2 x + sin x + cos x) / sin x.
Finally, we can combine the terms in the numerator to get y = cos x (sin^2 x + 2cos x sin x + 1) / sin x.
Using the identity sin^2 x = 1 - cos^2 x, we get y = cos x (3cos^2 x + 2cos x) / sin x.
Simplifying the expression, we arrive at y = cos x (cos x + 2) (3cos x + 2) / sin x.
Therefore, the simplified expression is y = cos x sin^2 x + cos^2 x, which can also be written as y = cos x (sin x)^2 + cos^2 x.
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A person uses a screwdriver to turn a screw and insert it into a piece of wood. The person applies a force of 20 newtons to the screwdriver and turns the handle of the screwdriver a total distance of 0. 5 meter. How would these numbers be different with a hammer and a nail instead of a screwdriver and a screw
Using a hammer and nail instead of a screwdriver and screw would change the type of force applied (linear versus rotational) and the distance covered (shorter linear distance versus longer turning distance). These differences can affect the efficiency, holding power, and ease of use when connecting materials.
When using a screwdriver and screw, the applied force of 20 newtons and turning distance of 0.5 meters involve rotational motion to insert the screw into the wood. The screwdriver acts as a lever, and the screw's threads translate the rotational force into linear motion, increasing the grip strength and holding power.
In contrast, when using a hammer and nail, the force applied would be different because the action is linear instead of rotational. The hammer delivers a series of high-impact, short-duration forces to drive the nail into the wood. The amount of force required would depend on factors like the size of the nail, the hardness of the wood, and the user's strength.
Additionally, the distance covered during hammering would be different. Unlike the screwdriver's 0.5-meter turning distance, the hammer's motion covers a shorter linear distance as it strikes the nail head repeatedly. The total distance depends on the number of hammer strikes and the length of the nail.
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Complete Question:
A person uses a screwdriver to turn a screw and insert it into a piece of wood. The person applies a force of 20 newtons to the screwdriver and turns the handle of the screwdriver a total distance of 0.5 meter. How would these numbers be different if the person inserted a nail with a hammer instead of the screw with the screwdriver?
A. The force applied would be greater, but the distance would be shorter.
B. The force applied would be less, but the distance would be greater.
C. The force applied would be the same, but the distance would be shorter.
D. The force applied would be the same, but the distance would be greater.
HELP FAST PLEASEEE
Question down below ⬇️
Answer:
That's the correct order.
Step-by-step explanation:
2x+20+5=55
2x+25=55
2x=30
x=15
Use this information for Ms. Yamagata is going to tile the floor of her rectangular bathroom that is 9 feet long and 73 feet wide. The cost per 6-inch tile is $0. 50. The cost per 18-inch tile is $2. 75. 4. If Ms. Yamagata uses 6-inch tiles, what are the least number of tiles that she needs to buy to cover the floor? оâ
Ms. Yamagata needs to buy at least 2628 6-inch tiles to cover the floor of her rectangular bathroom.
To determine the least number of 6-inch tiles Ms. Yamagata needs to buy to cover her 9 feet long and 73 feet wide bathroom floor, follow these steps:
1. Convert the dimensions of the bathroom to inches, as the tiles are measured in inches:
9 feet * 12 inches/foot = 108 inches long
73 feet * 12 inches/foot = 876 inches wide
2. Determine the total area of the bathroom in square inches:
Area = length * width = 108 inches * 876 inches = 94,608 square inches
3. Calculate the area of a single 6-inch tile:
Area = length * width = 6 inches * 6 inches = 36 square inches
4. Divide the total area of the bathroom by the area of a single tile to find the least number of tiles needed:
Number of tiles = total area / tile area = 94,608 square inches / 36 square inches ≈ 2,628.56
Since Ms. Yamagata cannot buy a fraction of a tile, she needs to buy at least 2,629 6-inch tiles to cover her bathroom floor.
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Help
Look at the picture it says what it needs.
The value of x and y for the angles are 4 and 9 respectively.
What is an equation?An exponential equation is an expression that shows how numbers and variables using mathematical operators.
10x - 4 = 6(x + 2) (opposite angles are equal to each other)
10x - 4 = 6x + 12
4x = 16
x = 4
Also:
18y - 18 = 16y
2y = 18
y = 9
The value of x and y are 4 and 9 respectively.
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Dylan has a square piece of metal that measures 17 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?
The length of the hypotenuse of each right triangle to the nearest tenth of an inch is 24 inches.
Here, two right triangles with legs each measuring 17 inches are created when the square piece of metal is sliced diagonally.
We will apply the Pythagorean Theorem to find the length of the hypotenuse.
The Pythagorean theorem states that square of hypotenuse is equal to the sum of the squares of opposite side and adjacent side.
Now,
[tex]Hypotenuse^{2} = 17^{2}+ 17^{2} \\Hypotenuse^{2} =289+289\\Hypotenuse^{2} =578\\Hypotenuse=\sqrt{ 578}\\Hypotenuse=24.04[/tex]
⇒ Hypotenuse ≈ 24 inches (to the nearest tenth of an inch)
Therefore, the length of the hypotenuse of each right triangle to the nearest tenth of an inch is 24 inches.
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How would the variation that exists between the distance that a man walks in one hour and the rate at which the man is walking be described? f inversely g directly h both inversely and directly j irregular
The relationship between these two variables can be described as inversely proportional.
The variation between the distance that a man walks in one hour and the rate at which the man is walking can be described as inversely proportional.
This means that as the rate at which the man is walking increases, the distance that he walks in one hour decreases. Similarly, as the rate at which he is walking decreases, the distance that he walks in one hour increases.
Therefore, the relationship between these two variables can be described as inversely proportional.
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The lengths of the sides of a triangle
are 9, 12, and 15. what is the perimeter
of the triangle formed by joining the
midpoints of these sides?
The perimeter of the triangle formed by joining the midpoints of the sides of the original triangle is 3.
To find the perimeter of the triangle formed by joining the midpoints of the sides of the original triangle, we first need to find the midpoints. The midpoint of a side of a triangle is the point that is exactly halfway between the endpoints of that side.
Using the formula for the midpoint of a line segment ((x1+x2)/2, (y1+y2)/2), we can find the midpoints of the sides with lengths 9, 12, and 15:
Midpoint of the side with length 9: ((9+12)/2, (0+0)/2) = (10.5, 0)
Midpoint of the side with length 12: ((9+15)/2, (0+0)/2) = (12, 0)
Midpoint of the side with length 15: ((12+9)/2, (0+0)/2) = (10.5, 0)
Note that all three midpoints lie on the x-axis.
Now we can find the lengths of the sides of the triangle formed by joining the midpoints. These sides are the line segments connecting the midpoints, and their lengths are equal to the distances between the midpoints:
Length of the side connecting (10.5, 0) and (12, 0):
d = sqrt((12-10.5)^2 + (0-0)^2) = 1.5
Length of the side connecting (10.5, 0) and (10.5, 0):
d = sqrt((10.5-10.5)^2 + (0-0)^2) = 0
Length of the side connecting (12, 0) and (10.5, 0):
d = sqrt((10.5-12)^2 + (0-0)^2) = 1.5
So the triangle formed by joining the midpoints of the sides of the original triangle is an isosceles triangle with two sides of length 1.5 and one side of length 0. The perimeter of this triangle is:
Perimeter = 1.5 + 1.5 + 0 = 3
Therefore, the perimeter of the triangle formed by joining the midpoints of the sides of the original triangle is 3.
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Solve for the indicated variable. X/y=z-8 for x
Answer: To solve for x in the equation X/y=z-8, we need to isolate x on one side of the equation.
Multiplying both sides by y, we get:
X = y(z-8)
Therefore, the solution for x is:
X = y(z-8)
Step-by-step explanation:
Find the following derivative:
d/dx =xe^x^2+1
The derivative of the given function with respect to x is:
f'(x) = e^(x^2 + 1) * (1 + 2x^2)
To find the derivative of the given function. Let's first rewrite the function for clarity: f(x) = x * e^(x^2 + 1).
To find the derivative f'(x) with respect to x, we'll apply the product rule since we have a product of two functions: x and e^(x^2 + 1). The product rule states that if you have a function f(x) = g(x) * h(x), then f'(x) = g'(x) * h(x) + g(x) * h'(x).
In this case, g(x) = x and h(x) = e^(x^2 + 1). First, let's find the derivatives g'(x) and h'(x):
g'(x) = d/dx (x) = 1
h'(x) = d/dx (e^(x^2 + 1)) = e^(x^2 + 1) * d/dx (x^2 + 1) = e^(x^2 + 1) * (2x)
Now, we can apply the product rule:
f'(x) = g'(x) * h(x) + g(x) * h'(x) = 1 * e^(x^2 + 1) + x * (e^(x^2 + 1) * 2x)
Simplifying the expression, we get:
f'(x) = e^(x^2 + 1) + 2x^2 * e^(x^2 + 1)
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Choose the system for the graph.
The system of inequalities in the graph is the one in option A.
y ≥ (-2/5)x - 2/5
y ≥ (3/2)*x - 1
Which is the system of inequalities in the graph?Here we can see the graph of a system of inequalities, on the graph we can see two lines.
The first one is a line with a positive slope, it has an y-intercept of -1, the shaded region is above that line, and it is a solid line, so one of the inequalities is:
y ≥ a*x - 1
Where a is positive.
The second line has a negative slope, and we can see that the shaded region is also above the line, so this second inequality is like:
y ≥ line with negative slope.
It is easy to identify the correct option because there is only one with these properties, which is the first option:
y ≥ (-2/5)x - 2/5
y ≥ (3/2)*x - 1
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The results of the chi-square test of independence found that fear of crime depended on one's perception of whether their neighborhood was a high crime area or not. if the null hypothesis is rejected, which is the most appropriate conclusion that can be made
The most appropriate conclusion that can be made when the null hypothesis is rejected for the chi-square test of independence is: There is a significant association between fear of crime and one's perception of their neighborhood as a high crime area or not.
If the null hypothesis is rejected in a chi-square test of independence, it means that there is a significant association between the two variables being studied. In this case, the fear of crime is dependent on one's perception of whether their neighborhood is a high crime area or not.
Therefore, the most appropriate conclusion that can be made is that there is a significant relationship between the two variables, and one's perception of their neighborhood being a high crime area or not is a predictor of fear of crime. However, the chi-square test of independence does not determine causality, so it is not possible to conclude which variable is causing the other. Further research would be required to determine the direction and nature of the relationship between the two variables.
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After an antibiotic is taken, the concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 4te-397, where t is measured in hours and C is measured in ag Use the closed interval methods to mg detremine the maximum concentration of the antibiotic between hours 1 and 7. Write a setence stating your result, round answer to two decimal places, and include units.
To find the maximum concentration of an antibiotic between hours 1 and 7, first find the critical points of the function C(t), then evaluate C(t) at the critical points and endpoints to choose the highest value.
To determine the maximum concentration of the antibiotic between hours 1 and 7, follow these steps:
1. Find the critical points of the function C(t) = 4te^(-397). To do this, find the first derivative of the function, C'(t), and set it equal to 0.
2. Check the value of C(t) at the critical points and the endpoints of the interval, t=1 and t=7.
3. Choose the highest value of C(t) among the critical points and the endpoints.
1: Find the first derivative, C'(t).
C(t) = 4te^(-397)
C'(t) = 4e^(-397)(1-397t)
2: Set the first derivative equal to 0 and solve for t.
4e^(-397)(1-397t) = 0
1 - 397t = 0
t = 1/397
3: Evaluate C(t) at the critical point t = 1/397 and the interval endpoints t = 1 and t = 7.
C(1/397) = 4(1/397)e^(-397(1/397)) ≈ 0.01 ag/mg
C(1) = 4(1)e^(-397(1)) ≈ 0.00 ag/mg
C(7) = 4(7)e^(-397(7)) ≈ 0.00 ag/mg
The maximum concentration of the antibiotic occurs at t = 1/397 hours, with a concentration of approximately 0.01 ag/mg. What is Titration: Titration is a technique by which we know the concentration of unknown solution using titration of this solution with solution whose concentration is known.
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A laundry basket contains 14 socks, of which 4 are blue. What is the probability that a randomly selected sock will be blue? Write your answer as a fraction or whole number.
Answer:
the probability of selecting a blue sock from the laundry basket is 2/7 or approximately 0.2857.
Step-by-step explanation:
The probability of selecting a blue sock can be found by dividing the number of blue socks by the total number of socks in the basket:
Probability of selecting a blue sock = Number of blue socks / Total number of socks
Probability of selecting a blue sock = 4 / 14
Simplifying the fraction by dividing both the numerator and denominator by 2 gives:
Probability of selecting a blue sock = 2 / 7
A recipe requires only blueberries and strawberries. This list shows the amounts required for 1/4 of the whole recipe:
1/2 cup blueberries
2/5 cup of strawberries
What is the number of cups of blueberries and the number of cups of strawberries required for the whole recipe?
a) 1/8 cup of blueberries and 1/10 cup of strawberries
b) 1/8 cup of blueberries and 1 3/5 cups of strawberries
c) 2 cups of blueberries and 1/10 cup of strawberries
d) 2 cups of blueberries and 1 3/5 cups of strawberries
A
Either divide each by one fourth or multiply each by 0.25. Then turn the answer to a fraction.
If the minimum perimeter of a quadrilateral is 200cm, what is the maximum area of the quadrilateral
guesses will be reported
first correct answer gets brainliest <3
The maximum area of the quadrilateral is achieved when it is a square with a side length of 50cm, resulting in an area of 2500cm².
This is because a square has equal sides and equal angles,
resulting in the most efficient use of the perimeter to enclose the maximum area.
To see why, consider a rectangle with a perimeter of 200cm.
If the rectangle is long and thin, with one side much longer than the others,
then it will have a smaller area than a square with the same perimeter.
This is because the longer sides of the rectangle will be less effective at enclosing area than the shorter sides.
Hence, The maximum area of a quadrilateral with a minimum perimeter of 200cm is achieved when the quadrilateral is a square.
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Find the curve in the xy plane that passes through the point (9,8) and whose slope at each point is 6 sqrt x
The equation of curve passing through the point (9,8) with slope [tex]6\sqrt{x}[/tex] is [tex]y = 4\times x^{(3/2)} -100[/tex] .
Slope of curve is given by [tex]6\sqrt{x}[/tex] and curve is passing through point (9,8) .
A curve can be represented in a graph using the standard form of equations. Equation will represent the slope of curve and point through which the curve is passing.
Equation of curve :
Differentiate the slope equation,
dy/dx = [tex]6\sqrt{x}[/tex]
dy = [tex]6\sqrt{x}[/tex] dx
Integrating both sides,
Integration rule : [tex]\int\ {x^n} \, dx = x^{n+1}/n+1 + c[/tex]
[tex]y = 6 \times (x^{3/2})/(3/2) +c[/tex]
[tex]y = 4 x^{(3/2)} + c[/tex]
Now substitute (9,8) in the equation of y,
[tex]8 = 4\times (9)^{3/2} + c[/tex]
[tex]c = -100[/tex]
Substitute the value to get the equation of curve,
The equation of curve is [tex]y = 4\times x^{(3/2)} -100[/tex] .
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Find the area of the regular polygon with the given apothem a and side length s.
pentagon, a = 10. 4 cm, s = 15. 1 cm
The area of the regular pentagon is approximately 392.2 square centimeters.
The area of a regular polygon can be calculated using the formula:
A = (1/2) * apothem * perimeter
where perimeter = number of sides * side length.
For a pentagon with side length s = 15.1 cm, the perimeter is:
perimeter = 5 * 15.1 = 75.5 cm
The apothem is a = 10.4 cm.
Using the formula, we get:
A = (1/2) * 10.4 * 75.5
A = 392.2 cm^2
Therefore, the area of the regular pentagon is approximately 392.2 square centimeters.
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Required: prepare adjusting journal entries on the book
close the book
open a new set of books for the partnership
record the contributions of both partners
prepare balance sheet of the partnership
1. Old stocks of merchandise has appraised its value to 12,000. 00
2. Allowance for bad debts in understated by 200. 00
3. Unrecorded accrued interest on notes receivables dated November 1, 2019 at 5% should be recorded
4. Accrued interest on notes payable issued on July 31, 2019 at 10% should be recognized
5. Net furniture and fixtures is understated by 1,000. 00
N. Lustre will contribute cash and delivery truck the truck was originally valued by N. Lustre as 30,000. 00 but J. Reid estimated it at 20,000. 00 to which N. Lustre agreed N. Lustres capital should be exactly equal to reid capital of 62,200
Prepare adjusting journal entries, close the book, open a new set of books for the partnership, record the contributions of both partners, and prepare the balance sheet of the partnership.
How to prepare adjusting journal entries and balance sheet for the partnership?Adjusting Journal Entries:
Debit Merchandise Inventory: 12,000Credit Allowance for Inventory Appraisal: 12,000Debit Bad Debt Expense: 200Credit Allowance for Bad Debts: 200Debit Interest Receivable: (calculate accrued interest amount based on notes receivable and interest rate)
Credit Interest Revenue: (same amount as above)
Debit Interest Expense: (calculate accrued interest amount based on notes payable and interest rate)
Credit Interest Payable: (same amount as above)
Debit Furniture and Fixtures: 1,000
Credit Accumulated Depreciation - Furniture and Fixtures: 1,000
N. Lustre's Contribution:
Debit Cash: (amount contributed by N. Lustre)
Debit Delivery Truck: 20,000
Credit N. Lustre's Capital: (total contributed amount)
J. Reid's Capital:
Credit J. Reid's Capital: 62,200
Balance Sheet of the Partnership:
Include the capital balances of N. Lustre and J. Reid
List the current assets, fixed assets, current liabilities, and long-term liabilities of the partnership
Calculate the total assets, total liabilities, and partners' equity
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Maya is designing a quilt. Each piece will be in the shape of a parallelogram. She wants the base, b, of each piece to be 6 inches. The area, A, must be 42 square inches. What length should Maya use for the height, h?
The required height for which the base is 6 inches and the area of 42 square inches is 7 inches.
Each piece will be in a shape of a parallelogram so we know that the area of the parallelogram is given as
area= height * base
Now we are provided with the base of the parallelogram that is 6 inches. The area of the piece is also given as 42 sq inches. So, we can solve and get the height from the above equation.
Height (h) = area/ base
Height (h)= 42/6
Height (h)= 7 inches.
Therefore, Maya should use a height of 7 inches for each piece in order to achieve a base of 6 inches and an area of 42 sq inches.
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PLEASE HELP ME PLEASE I REALLY NEED HELP IM LOST
question 8.
It is expected to see precipitation on approximately 1.15 days in any given week in Raleigh, NC based on the data from January 1, 2022, to March 26, 2022.
question 9.
The probability that exactly 90 of the plants will successfully grow is approximately 0.0860.
Option A is correct.
How do we calculate?0(6/13) + 1(4/13) + 2(0) + 3(2/13) + 4(0) + 5(1/13) + 6(0) + 7(0) = 1.1538
binomial distribution with n = 100 (the number of trials) and
p = 0.87 (the probability of success on each trial).
we use the binomial probability formula to find the probability that exactly 90 plants will grow,
P(X = 90) = (100 choose 90) * (0.87)^90 * (0.13)^10
P(X = 90) = 0.0860.
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Justin has a loyalty card good for 11% discount at his local grocery store. What number should he multiply the prices on the tags by to find the price he would have to pay, before tax in one step?
To find the price Justin would have to pay, he should multiply the prices on
the tags by 0.89 in one step.
The price Justin would have to pay before tax after applying an 11%
discount, he needs to multiply the price on the tags by a certain number.
Let's denote the price on the tag as P.To find the price after the 11%
discount, Justin would multiply the price on the tag by (100% - 11%), or 0.89.
This is because the discount of 11% is equivalent to paying 89% of the
original price.
Mathematically, the calculation would be:
Price after discount = P * 0.89
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