Step-by-step explanation:
he sold the house for 180000, which is 24% more than the amount he paid.
180000 = x + 0.24x
Simplifying this equation, we get:
1.24x = 180000
x = 180000 / 1.24
x ≈ 145161.29
Chengbo paid approximately 145161.29 yuan for the house.
pls help me, I have to give it in, pls help!!
By algebra properties, the values of x for each equation are listed below:
Case A: x = 0
Case B: x = 0
Case C: x = 1.584 or x = 1
Case D: x = 1.262 or x = - 0.631
Case E: x = 0.569
Case F: x = 2 or x = 1.322
How to solve equations involving exponential expressions
In this problem we find six cases of equations containing exponential expressions where the value of x must be found. This can be done by means of algebra properties:
Case A
2²ˣ - 2 ˣ⁺¹ + 1 = 0
(2ˣ)² - 2 · 2ˣ + 1 = 0
u² - 2 · u + 1 = 0
(u - 1)² = 0
u = 1
2ˣ = 1
x · ㏒₂ 2 = ㏒₂ 1
x = ㏒₂ 1
x = 0
Case B
3²ˣ - 3ˣ = 0
(3ˣ)² - 3ˣ = 0
3ˣ · (3ˣ - 1) = 0
3ˣ - 1 = 0
3ˣ = 1
x = 0
Case C
2²ˣ - 5 · 2ˣ + 6 = 0
(2ˣ)² - 5 · 2ˣ + 6 = 0
u² - 5 · u + 6 = 0
(u - 3) · (u - 2) = 0
u = 3 or u = 2
2ˣ = 3 or 2ˣ = 2
x = ㏒₂ 3 or x = 1
x = 1.584 or x = 1
Case D
2 · (3²ˣ) - 9 · 3ˣ + 4 = 0
2 · u² - 9 · u + 4 = 0
2 · [u² - (9 / 2) · u + 2] = 0
2 · (u - 4) · (u - 1 / 2) = 0
u = 4 or u = 1 / 2
3ˣ = 4 or 3ˣ = 1 / 2
x = ㏒₃ 4 or x = ㏒₃ (1 / 2)
x = 1.262 or x = - 0.631
Case E
6 · (5²ˣ) - 11 · 5ˣ - 10 = 0
6 · u² - 11 · u - 10 = 0
6 · [u² - (11 / 6) · u - 5 / 3] = 0
6 · (u - 2.5) · (u + 0.667)
u = 2.5 or u = - 0.667
x = 0.569
Case F
2²ˣ⁺¹ - 13 · 2ˣ + 20 = 0
2 · (2ˣ)² - 13 · 2ˣ + 20 = 0
2 · u² - 13 · u + 20 = 0
2 · [u² - (13 / 2) · u + 10] = 0
2 · (u - 4) · (u - 5 / 2) = 0
u = 4 or u = 5 / 2
2ˣ = 4 or 2ˣ = 5 / 2
x = 2 or x = 1.322
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at the town flea market, monica purchases a big box of used tennis balls to throw to her dog. she scoops some tennis balls out of the box at random. here are the colors of the balls: yellow, blue, yellow, red, green, blue, yellow, red, yellow, green, yellow, red, green based on the data, what is the probability of choosing a yellow tennis ball from the box? write your answer as a fraction or whole number. submit
Answer: 5/13
Step-by-step explanation: i did this IXL and got it right
Briony needs 8 pieces of curtain material 2 1/4m in length.She has 19 m length of material does she have enough
Yes, Briony has enough material. She needs 18m of material, which is less than the 19m she has.
To find length of material, we need to calculate the length of each
curtain piece using the given length of material.
To convert a mixed number to an improper fraction, multiply the
denominator (the bottom number) by the whole number, and add the
numerator (the top number).
Now, to convert 2 1/4m into an improper fraction, we multiply the
denominator (4) by the whole number (2), then add the numerator (1).
This gives us (2 × 4) + 1 = 9.
Hence, 2 1/4m can be written as 9/4m.
Since Briony needs 8 pieces of curtain material 2 1/4m in length, she will need a total of:
8 × 2 1/4m = 8 × 9/4m = 18 1/4m.
Briony requires 18 1/4m of curtain material. Since she has 19 m length of
material, she has enough to create 8 pieces of curtain material of 2 1/4m
in length.
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a good hypothesis group of answer choices does not need a control. can be accepted or rejected. does not require repeated experimentation. all of the above none of the above
The hypothesis can be accepted or rejected based on the results of the experiment.
A good hypothesis from the given group of answer choices can be accepted or rejected. It is important for a hypothesis to be testable and falsifiable, which means that it should be possible to support or disprove it through experimentation or observation.
A control is necessary in experiments to compare the results and determine if the independent variable has an effect on the dependent variable.
Repeated experimentation is essential to ensure the validity and reliability of the results obtained.
Therefore, the correct answer is none of the above.
A hypothesis is an educated guess or a proposed explanation for an observation or a scientific problem.
In order to be considered a good hypothesis, it should have the following characteristics:
1. Testable and falsifiable: A good hypothesis should be possible to test through experimentation, observation, or other scientific methods. This means that it should be possible to gather evidence that either supports or disproves the hypothesis.
2. Clearly stated: A good hypothesis should be stated clearly and concisely, so that it is easy to understand what is being proposed and what the expected outcome is.
3. Based on existing knowledge: A good hypothesis should be based on existing knowledge and previous research. This means that it should be grounded in known facts, theories, or observations.
4. Specific: A good hypothesis should be specific in its predictions, making it easier to test and providing clearer results.
In conclusion, a good hypothesis can be accepted or rejected, should be testable and falsifiable, requires a control, and requires repeated experimentation to ensure the reliability and validity of the results.
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Mason's mother wants to make 8 curtains that each require 2 1/5 (two, one over five) metres of material in a standard width, but she only has 16 1/4(sixteen, one over four)metres of material. There are to be no seams in her curtains. She asks Mason to buy more material.
a. How much more material must Mason buy?
B. How much material is left over?
The result is negative, meaning there is insufficient material to make the curtains without seams.
EquationsEach curtain requires 2 1/5 meters of material, so for 8 curtains, the total amount of material required is:
8 x 2 1/5 = 17 3/5 meters
However, Mason's mother only has 16 1/4 meters of material, so she needs to buy more material. The amount of additional material needed is the difference between what she has and what she needs:
17 3/5 - 16 1/4 = 1 2/5 meters
Therefore, Mason needs to buy 1 2/5 meters of material.
To determine how much material is left over, we need to subtract the total amount of material needed for the curtains from the amount of material Mason's mother has:
16 1/4 - 17 3/5 = -1 3/20
In this case, Mason's mother would need to either buy more material or adjust the dimensions of the curtains to fit the amount of material she has.
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find the probability of tossing two dice and showing at least a 4 or the sum of dice is precisely 7
The probability of tossing two dice and showing at least a 4 or the sum of dice is precisely 7 is 5/12 or approximately 0.417.
To find the probability of tossing two dice and showing at least a 4 or the sum of dice is precisely 7, we need to add the probabilities of these two events happening.
The probability of rolling at least a 4 on one die is 3/6, or 1/2 because there are three ways to roll a number greater than or equal to 4 (4, 5, or 6) out of six possible outcomes. The probability of rolling at least a 4 on both dice is the product of the probabilities of rolling at least a 4 on each die, which is (1/2) x (1/2) = 1/4.
The probability of rolling a sum of 7 on two dice is 6/36, or 1/6 because there are six possible ways to roll a sum of 7 (1+6, 2+5, 3+4, 4+3, 5+2, or 6+1) out of 36 possible outcomes.
To find the probability of rolling at least a 4 or a sum of 7, we need to subtract the probability of rolling both from the total probability of rolling either. The total probability of rolling at least a 4 or a sum of 7 is the sum of their probabilities minus the probability of rolling both, which is:
(1/2) + (1/6) - (1/4) = 5/12
Therefore, the probability of tossing two dice and showing at least a 4 or the sum of dice is precisely 7 is 5/12 or approximately 0.417.
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select all of the expressions that are equivalent to 4√5
2√20
6^1/2- 5^1/2
3 x 5^1/2 +5^1/2
4 x 5^1/2
2√10
3 x 5^1/2
The expressions that are equivalent to 4√5 is
A) 2√20
C) [tex]3\sqrt5+\sqrt5[/tex]
D) [tex]4\times 5^{1/2}[/tex]
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.
Here the given expression is [tex]4\sqrt5[/tex].
Now simplifying the given option expressions then,
A) [tex]2\sqrt{20}[/tex] = [tex]2\sqrt{4\times5}[/tex]
= [tex]2\times2\sqrt{5}[/tex]
= [tex]4\sqrt5[/tex]
B) [tex]6^{1/2}-5^{1/2}[/tex]
[tex]= \sqrt6-\sqrt5[/tex]
C) [tex]3\sqrt5+\sqrt5[/tex]
= [tex]4\sqrt5[/tex]
D) [tex]4\times 5^{1/2}[/tex]
[tex]= 4\sqrt5[/tex]
E) [tex]2\sqrt{10}[/tex]
F) [tex]3\times5^{1/2}[/tex]
[tex]=3\sqrt5[/tex]
Hence the expressions that are equivalent to 4√5 is
A) 2√20
C) [tex]3\sqrt5+\sqrt5[/tex]
D) [tex]4\times 5^{1/2}[/tex]
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PLS HELPP I NEED ASAP
Answer:
Let's call the number of nuts "n", the number of bolts "b", and the number of screws "s".
From the problem, we know:
s = 3n (Since there are 3 times as many screws as nuts)
b = n + 32 (Since there are 32 more bolts than nuts)
n + s + b = 782 (Since the total number of nuts, screws, and bolts is 782)
Now we can use substitution to solve for one of the variables in terms of the others. Let's solve for "n":
n + 3n + (n + 32) = 782
5n + 32 = 782
5n = 750
n = 150
Now we know there are 150 nuts. We can use this information to find the number of bolts:
b = n + 32
b = 150 + 32
b = 182
Finally, we can use the information we have about the screws to find their number:
s = 3n
s = 3(150)
s = 450
Therefore, there are 450 screws in the box.
answer 1646
let nuts be-782
screw=3X nuts
bolts = 32 X nuts
Screw=3x782=1646
hope this helps
100 points!!!
Express the function graphed on the axes below as a piecewise function.
This means that for x values less than or equal to -2, the function equals -2x - 1. For x values between -2 and 1, the function equals x^2 + 2x - 3. And for x values greater than or equal to 1, the function equals 4.
To express the function graphed on the axes below as a piecewise function, we need to analyze the graph and determine the different intervals where the function behaves differently.
Looking at the graph, we can see that the function is a straight line with a slope of 2 when x is less than or equal to -2. Then, the function changes to a parabola that opens upwards when x is between -2 and 1. Finally, the function becomes a horizontal line when x is greater than 1.
Therefore, the piecewise function that represents this graph is:
f(x) =
-2x - 1, if x ≤ -2
x^2 + 2x - 3, if -2 < x < 1
4, if x ≥ 1
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Mrs. Simcox needs to make snickerdoodles for her class for Pi day. She needs 2 ¼ cups flour for each batch of cookies. If she has 9 cups of flour how many complete batches of cookies can she make?
Hellpppp
Mrs. Simcox can make 4 complete batches of snickerdoodles for her class on Pi day, as she has 9 cups of flour and each batch of cookies requires 2 and 1/4 cups of flour.
Mrs. Simcox needs to make snickerdoodles for her class on Pi day and she knows that each batch of cookies requires 2 and 1/4 cups of flour. Therefore, she needs to calculate how many batches of cookies she can make with the 9 cups of flour that she has.
To do this, she divides the total amount of flour she has (9 cups) by the amount of flour required for each batch (2 and 1/4 cups). To simplify this division, she can convert the mixed number (2 and 1/4) to an improper fraction:
2 and 1/4 = (2 x 4 + 1)/4 = 9/4
Therefore, she can rewrite the division as:
9 cups ÷ 9/4 cups per batch
To divide by a fraction, she can multiply by its reciprocal:
9 cups × 4/9 cups per batch = 4 batches
So, Mrs. Simcox can make 4 complete batches of cookies with the 9 cups of flour she has.
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y=log(4x-a) for what values of x will the log be positive
The logarithmic function y = log(4x-a) is positive for all values of x which are greater than a/4.
A logarithmic function is what?A function of this type is a logarithmic function. which can be interpreted as "y equals the log, base b, of x" or "y equals the log of x, base b."
Finding the domain of x that makes the argument (4x-a) of the logarithm positive will help us identify the values of x for which the logarithm in the equation y = log(4x-a) is positive.
Remember that a positive number's logarithm is positive and a negative number's logarithm is indeterminate. (in the real number system).
We must therefore identify the x values that meet the inequality:
4x - a > 0
4x > a
x >a/4
After finding x, we obtain:
x > a/4
The equation y = log(4x-a) therefore has the following domain of x for which the logarithm is positive:
In other words, for all values of x larger than a/4, the expression y = log(4x-a) is defined and positive.
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Solve the system of equations.
6x – y = 6
6x2 – y = 6
(0, 6) and (0, –6)
(1, 0) and (0, –6)
(2, 6) and (1, –11)
7x-22 is the bottom
3x+10 is the side
wart is a rhombus find WA
x=
WA=
Answer:
x = 8WA = 34Step-by-step explanation:
You want the value of x and the length of side WA in rhombus WART with sides marked 7x-22 and 3x+10.
RhombusThe sides of a rhombus are congruent, so ...
7x -22 = 3x +10
4x = 32 . . . . . . . . add 22-3x
x = 8
3x+10 = 3·8 +10 = 34
The value of x is 8, and side WA is 34 units.
I need help please!!
Answer:
8 = 83°
Step-by-step explanation:
4 = 2 (Vertically opp. angles)
2 = 8 (Alternate interior angles)
Therefore 4 = 8
Since 4 = 83°
8 = 83°
Answer:
<8 = 83 degrees
Step-by-step explanation:
<4 and <8 are corresponding angles and corresponding angles are equal if lines are parallel
<4 = 83 so <8 = 83
Find the x- and y-intercepts of the graph of x+7y=12. State each answer as an integer or an improper fraction in simplest form
The x-intercept is (12, 0) and the y-intercept is (0, 12/7) or (0, 1 5/7) in mixed number form.
What are the intercepts?
Intercepts are the points where the graph intersects either the x-axis or the y-axis. The x-intercept is the point where the graph intersects the x-axis, which means the y-coordinate of the point is 0. The y-intercept is the point where the graph intersects the y-axis, which means the x-coordinate of the point is 0. To find the intercepts of a function, you can set one of the variables (x or y) to 0 and solve for the other variable. The resulting point will be the intercept.
To find the x-intercept, we set y to zero and solve for x:
x + 7(0) = 12
x = 12
So the x-intercept is (12, 0).
To find the y-intercept, we set x to zero and solve for y:
0 + 7y = 12
y = 12/7
So the y-intercept is (0, 12/7) or (0, 1 5/7) in mixed number form.
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Find the inverse of the function.
y = x² + 4x + 4
y =
1
-X+2
2
1
y=± √ √=x+2
Oy=± √√x-2
y = √√x -2
To find the inverse of the function y = x² + 4x + 4, we first replace y with x and x with y:
x = y² + 4y + 4
Next, we rearrange the equation to isolate y on one side of the equation:
x - 4 = y² + 4y
y² + 4y = x - 4
Now, we complete the square by adding (4/2)² = 4 to both sides of the equation:
y² + 4y + 4 = x
We can rewrite the left side of the equation as (y + 2)²:
(y + 2)² = x
Finally, we take the square root of both sides of the equation and solve for y:
y + 2 = ±√x
y = ±√x - 2
Since the original function is not one-to-one, we need to restrict the domain to obtain the inverse function. Specifically, we restrict the domain of the original function to x ≥ -2, since for values of x less than -2 there are two corresponding y-values. Therefore, the inverse function of y = x² + 4x + 4 for this restricted domain is:
y = ±√x - 2, x ≥ -2
sorry! earn 10 points.
Solve the expression 9 + (20 x one-fourth) – 6 ÷ 2 using PEMDAS.
8
11
13
16
The value of the expression 9 + (20 x one-fourth) – 6 ÷ 2 is 11.
What is PEMDAS?
PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). It is a mnemonic or acronym used to remember the order of operations when simplifying mathematical expressions.
Using PEMDAS (Order of Operations), we perform the operations in the following order:
Parentheses
Exponents
Multiplication and Division (from left to right)
Addition and Subtraction (from left to right)
Applying this to the given expression:
9 + (20 x one-fourth) – 6 ÷ 2
= 9 + (20 x 0.25) - 3 [simplify division first: 6 ÷ 2 = 3]
= 9 + 5 - 3 [simplify multiplication: 20 x 0.25 = 5]
= 11 [simplify addition and subtraction from left to right]
Therefore, the value of the expression is 11.
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jenny chagrined to find that the ratio of dandelions to peonies in the garden was 12 to 5 if there were 45 peonies in the garden how many dandelions were there?
Accοrding tο the ratiοs, there are 108 dandeliοns in the garden.
What is a ratiο?A ratiο is a cοmparisοn οf twο quantities οr values, οften expressed as a fractiοn. Ratiοs can be used tο express the relatiοnship between twο οr mοre quantities.
We can use the ratiο οf dandeliοns tο peοnies tο find the number οf dandeliοns when we knοw the number οf peοnies.
The ratiο οf dandeliοns tο peοnies is 12 tο 5, which means that fοr every 12 dandeliοns, there are 5 peοnies.
We knοw that there are 45 peοnies in the garden, sο we can set up a prοpοrtiοn tο find the number οf dandeliοns:
12/5 = x/45
Tο sοlve fοr x, we can crοss-multiply and simplify:
12*45 = 5x
540 = 5x
x = 108
Therefοre, there are 108 dandeliοns in the garden.
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two forces are acting upon an object F1 is 10N and is being applied at a 270 angle with the positive x-axis...
here's the answers:
The components of force F1 are F1x = 0N (along the x-axis) and F1y = -10N (along the y-axis).
To determine the components of the two forces acting upon an object with F1 = 10N at a 270° angle with the positive x-axis,
follow these steps:
Step 1: Convert the angle to a standard position
Since the angle is given in degrees and with respect to the positive x-axis, it is already in the standard position.
Step 2: Find the x and y components of F1
To find the components of F1, we'll use trigonometry.
At 270°, the force is pointing straight down along the negative y-axis.
So, the x-component (F1x) is 0, and the y-component (F1y) is -10N.
F1x = F1 * cos(270°) = 10N * 0 = 0N
F1y = F1 * sin(270°) = 10N * (-1) = -10N.
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Line segment AB has endpoints A(1, 4) and B(4. 2j. Find the coordinates of the point that divides the line segment directed from A to B
in the ratio of 1:4
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:4 is (8/5, (16 + 8j)/5).
We can use the ratio formula for finding the coordinates of the point that divides the line segment AB in the ratio of 1:4:
Let the coordinates of the point dividing the line segment AB be (x, y). Then:
x = (41 + 14)/5 = 8/5
y = (44 + 42j)/5 = (16 + 8j)/5
Therefore, the coordinates of the point that divides the line segment AB in the ratio of 1:4 are (8/5, (16 + 8j)/5).
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56% of what number is $21.84?
Percent Proportion-
Percent Equation -
Answer: 39
Step-by-step explanation:
x = (56/100) * y
where x is the amount we're trying to find and y is the total amount.
We're given that 56% of this value is $21.84, so we can substitute these values into the equation:
21.84 = (56/100) * y
To solve for y, we can divide both sides by 56/100:
y = 21.84 / (56/100)
Simplifying this expression, we get:
y = 39
Therefore, the number that represents 56% of this value is $21.84.
can I have the answer? It’s for completing the square
So, the equation of the given curve is a circle centered at (-13, 13) with a radius of 3. Therefore, the correct option is:
[tex](x + 13) ^ 2 + (y - 13) ^ 2 = 9[/tex].
What is equation?An equation is a mathematical statement that shows the equality between two expressions, typically separated by an equal's sign (=). Equations are used to represent a wide range of mathematical and scientific relationships, such as physical laws, chemical reactions, and statistical models. The expressions on either side of the equals sign can contain variables, constants, and mathematical operations, and solving the equation involves finding the value or values of the variables that make the equation true. Equations can take many forms, including linear equations, quadratic equations, trigonometric equations, and differential equations, among others.
To determine which option is correct, we can try to convert the given equation to the standard form of the equation of a circle, which is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
where (h, k) is the center of the circle and r is the radius.
We can complete the square for the given equation by adding and subtracting appropriate constants:
[tex]x^2 + 26x + y^2 - 26y + 329 = 0[/tex]
[tex](x^2 + 26x + 169) + (y^2 - 26y + 169) = -329 + 2(169)[/tex]
[tex](x + 13)^2 + (y - 13)^2 = 9[/tex]
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if northwest airlines selects randomly a set of 40 flights on a given day, and then selects randomly a group of ten passengers on each of these flights to participate in an in-flight survey, the passengers are best referred to as a .
The passengers selected for the in-flight survey in this scenario can be best referred to as a stratified random sample.
In stratified random sampling, the population is divided into smaller, non-overlapping groups, called strata, which share similar characteristics. In this case, the strata are the 40 flights selected by Northwest Airlines. From each of these strata, a random sample of passengers is chosen, which in this case, is a group of ten passengers from each flight.
This method ensures that each flight's passengers are represented in the survey, allowing for better generalizability of the results. By selecting passengers randomly within each stratum, the survey helps minimize selection bias and ensures that the sample reflects the diversity of the overall population of passengers. The stratified random sampling approach is especially useful when studying a large and diverse population, as it provides a more accurate representation of the population's characteristics compared to simple random sampling.
In summary, the passengers participating in the in-flight survey are best referred to as a stratified random sample because they are chosen from 40 randomly selected flights, with ten passengers randomly selected within each flight. This sampling approach ensures better representation of the overall population and helps minimize selection bias in the survey results.
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3dm 5dm 2dm to mm is?
3 dm is equal to 300 mm, 5 dm is equal to 500 mm, and 2 dm is equal to 200 mm.
To convert 3 dm to mm, we multiply by 10 to get 30 cm, and then by another 10 to get 300 mm.
To convert 5 dm to mm, we multiply by 10 to get 50 cm, and then by another 10 to get 500 mm.
To convert 2 dm to mm, we multiply by 10 to get 20 cm, and then by another 10 to get 200 mm.
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Can someone please help me ASAP it’s due today!! I will give brainliest if it’s correct.
Answer:
about 7 days
Step-by-step explanation:
31 · .22
6.82 days
rounded up it would be approximately 7 days
A=1\3+1\6+1\10+1\15+...+1\45
The value of A is 9/10.
What is binomial?
Binοmial refers tο a type οf prοbability distributiοn that describes the number οf successes in a fixed number οf independent trials, where each trial has οnly twο pοssible οutcοmes (success οr failure) and the prοbability οf success is cοnstant acrοss all trials.
The given expressiοn is the sum οf the first several terms οf a harmοnic series. Tο evaluate it, we can use the fοrmula fοr the sum οf the first n terms οf a harmοnic series:
1 + 1/2 + 1/3 + ... + 1/n = ln(n) + γ,
where ln(n) is the natural lοgarithm οf n and γ is the Euler-Mascherοni cοnstant (apprοximately 0.5772).
Using this fοrmula, we can write the expressiοn as:
A = 1/3 + 1/6 + 1/10 + 1/15 + ... + 1/45
= (1/1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + ... + (1/9 - 1/10)
= 1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/9 - 1/10
= 1 - 1/10
= 9/10
Therefore, the value of A is 9/10.
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Complete Question:
Find The value of A
A=1\3+1\6+1\10+1\15+...+1\45
What steps should be taken to calculate the volume of the right triangular prism? Select three options. A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters. Use the formula A = one-half b h to find the area of the base. Use the formula A = b h to find the area of the base. The area of the base, A, is One-half (7) (8) = 28 meters squared. The area of the base, A, is One-half (8) (14) = 56 meters squared. The volume of the prism, V is (56) (7) = 392 meters cubed.
Answer:
392
Step-by-step explanation:
Volume is the area of the base times the height.
Area of the base:
[tex]\frac{(8x14)}{2}[/tex] = 56
Volume:
area of the base times the height
(56)(7) = 392
Helping in the name of Jesus.
Can someone please help
The total possible outcomes are 36 and the probability of rolling a 5 and a 6 is 1/36 = 0.028
What is probability?The likelihood that a specific occurrence will occur.
The proportion of the total number of possible outcomes to the number of outcomes in an exhaustive set of equally probable outcomes that result in a particular event.
Two six-sided dice are rolled there are 36 possibilities for outcomes which means 6 possibilities for the first dice and 6 for the second dice.
Therefore 36 is the total possibility outcome.
Count the number of outcomes for the one dice show 5 and the second dice show 6.
There is only one possibility two show the (5, 6) from the total s3 outcomes.
so the probability of rolling a 5 and a 6 i = 1/36 or about 0.028.
Therefore, the total possible outcomes are 36 and the probability of rolling a 5 and a 6 is 1/36.
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Can you pls do this i can't do it, it's a little hard and due before 4:00 pm ( Will mark brainliest if 2 answers and 95 pts if you can do it pls and thank you!!)
Answer:
30%
Step-by-step explanation:
(156-120) / 120 × 100％
=36 / 120 × 100％
=30%
many clothing stores use mannequins to display their goods, with many stores using headless mannequins while some use mannequins with a head. the same dress was presented to 95 women on either a mannequin with or without a head. 18 of the 50 women who saw the dress on a mannequin with a head indicated they would purchase the dress while 12 of the 45 who saw the dress on a headless mannequin said they would purchase the dress. is this evidence that a headed mannequin is more effective in selling clothing? perform a hypothesis test.
Using the hypothesis test, the p-value is greater than the significance level, we fail to reject the null hypothesis. There is not enough evidence to suggest that a headed mannequin is more effective in selling clothing.
To perform a hypothesis test to determine if a headed mannequin is more effective in selling clothing, we can use a two-sample proportion test.
Let p1 be the proportion of women who would purchase the dress when presented on a mannequin with a head, and p2 be the proportion of women who would purchase the dress when presented on a headless mannequin.
The null hypothesis is that there is no difference between the two proportions, i.e. p1 = p2, and the alternative hypothesis is that p1 > p2 since we want to test if the headed mannequin is more effective.
We can use a significance level of 0.05. Using the given data, we calculate the test statistic as:
z = (p1 - p2) / √(p × (1-p) × (1/n1 + 1/n2))
where p = (x1 + x2) / (n1 + n2), x1 = 18, x2 = 12, n1 = 50, and n2 = 45.
The calculated z-value is approximately 1.02.
Using a standard normal distribution table, we find the p-value to be approximately 0.155.
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