The planning value for the population standard deviation ,a sample size of 677 graduates is needed to estimate the population mean starting salary with a margin of error of $200.
We need to use the range of the expected starting salaries, which is between $42,000 and $59,800. The formula for calculating the planning value is:
Planning value = (range of salaries) / (6)
Therefore, the planning value for the population standard deviation is:
Planning value =[tex]($59,800 - $42,000) / (6) = $2,967[/tex]
To determine the sample size needed for a desired margin of error, we need to use the following formula:
Sample size = (Z-score)^2 * (planning value)^2 / (margin of error)^2
For a margin of error of $600 and a 95% confidence level, the Z-score is 1.96. Plugging in the values, we get:
Sample size =[tex](1.96)^2 * ($2,967)^2 / ($600)^2 = 113[/tex]
Therefore, a sample size of 113 graduates is needed to estimate the population mean starting salary with a margin of error of $600.
For a margin of error of $200, the Z-score is still 1.96. Plugging in the new margin of error, we get:
Sample size =[tex](1.96)^2 * ($2,967)^2 / ($200)^2 = 677[/tex]
Therefore, a sample size of 677 graduates is needed to estimate the population mean starting salary with a margin of error of $200
In summary, the planning value for the population standard deviation is $2,967. The sample size needed for a margin of error of $600 is 113, while the sample size needed for a margin of error of $200 is 677. These calculations can help organizations determine the appropriate sample size needed to accurately estimate the starting salaries of business administration graduates.
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Clayton is plowing a wheat field. There are a total of 240 acres to be plowed. If he can plow 4 acres per hour, which equation would represent A, the number of acres left to plow, after Clayton has plowed for h hours?
0a. A = 4 - 240h
0b. A = 240 - 4h
0c. A = 4 + 240h
0d. A = 240 + 4h
The correct equation would be:
0b. A = 240 - 4h
Explanation:
If Clayton can plow 4 acres per hour, the number of acres he can plow in 'h' hours would be 4h.
Therefore, the number of acres left to plow would be the total number of acres (240) minus the number of acres he has already plowed (4h).
Hence, the equation that represents the number of acres left to plow would be A = 240 - 4h.
Ms. Switer needs to buy sod for the front lawn of her new house . if the lawn measures 36 2/3 ft by 45 1/6 ft, how many square feet of sod will she need
Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.
What is Area?Area is the measure of the amount of space inside a two-dimensional (2D) flat surface or shape, such as a rectangle, circle, or triangle. It is typically measured in square units, such as square meters or square feet. The formula for finding the area of a shape varies depending on the shape itself.
To find out how many square feet of sod Ms. Switer will need, we need to find the area of the lawn. The formula for the area of a rectangle is length x width. Therefore, the area of Ms. Switer's lawn is:
Area = Length x Width
Area = (36 2/3 ft) x (45 1/6 ft)
Area = (110/3 ft) x (271/6 ft)
Area = 2981.388... square feet (rounded to three decimal places)
Therefore, Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.
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Re-write the quadratic function below in standard form.
y= -9(x-1)²-6
To rewrite the quadratic function y = -9(x-1)²-6 in standard form, we need to expand the squared term and simplify the expression. Here are the steps:
Distribute the negative sign to the squared term: y = -9(x² - 2x + 1) - 6
Multiply -9 by each term inside the parentheses: y = -9x² + 18x - 9 - 6
Combine the constants: y = -9x² + 18x - 15
Therefore, the standard form of the quadratic function y = -9(x-1)²-6 is y = -9x² + 18x - 15.
Answer:
y = -9x[tex]x^{2}[/tex] + 18x - 15
Step-by-step explanation:
At a baseball game, 45% of the fans are wearing jackets. Also, 30% of the fans are wearing baseball caps. Whether a fan is wearing a jacket is independent of whether the fan is wearing a baseball cap. What is the probability that a randomly selected fan is not wearing a jacket and is wearing a baseball cap?
A13.5%
B16.5%
C75%
85%
Answer: The answer is (B) 16.5%.
Step-by-step explanation:
suppose you have a circle for which you select 3 random points along its perimeter. if you were to form a triangle using these 3 points, what are the odds the center of the circle would be contained within this triangle?
The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.
The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.
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If you flatten a tissue box, you will get the net below, where he white rectangle is the top opening, find the surface area of the box, in square inches.
Answer: 185.64 inches
The surface area of the box is 185.64 square inches.
What is the area?The area is the amount of area occupied by an object's flat (2-D) surface or shape.
To find the surface area of the box, we need to calculate the area of each face and then add them up.
The four faces are rectangles with dimensions 8.8 inches by 4.3 inches, so their area is 4(8.8)(4.3) = 151.36 square inches.
The other area can be described as 2(4.3)(4.3) =36.98 square inches.
Finally, we need to account for the rectangular tear on one of the sides, which has dimensions of 0.5 inches by 5.4 inches. This tear creates an additional face with area (0.5)(5.4) = 2.7 square inches.
Therefore, the total surface area of the tissue box is:
151.36 + 36.98 - 2.7 = 185.64 square inches.
Hence, the surface area of the box is 185.64 square inches.
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Find the area of the Trapezoid
16.6 mi
6.7 mi
13.1 mi
18.5 mi
please explain I'll mark brainlisest
Answer:
The area of the trapezoid is 165.06mi.
Step-by-step explanation:
We can find the area of a trapezoid by the following formula:
[tex]\boxed{A_T = \frac{(B + b) \cdot h}{2} }[/tex]
[tex]A_T[/tex] is the area of the trapezoid (in our case, it is what we want to find)[tex]B[/tex] is the biggest base (in our case, the biggest base is 18.5 mi)[tex]b[/tex] is the smallest base (in our case, the smallest base is 6.7 mi)[tex]h[/tex] is the height (in our case, the base height is 13.1 mi)Note: Base are the parallel sides of the trapezium.
Now, let's change the values in the previous formula:
[tex]A_T = \frac{(B + b) \cdot h}{2}\\\\A_T = \frac{(6.7 + 18.5) \cdot 13.1}{2}\\\\A_T = \frac{25.2 \cdot 13.1}{2}\\\\A_T = \frac{330.12}{2}\\\\A_T = 165.06[/tex]
Therefore, the area of this trapezoid is 165.06 mi.
I hope I've helped.
Happy studying! =D
Jessica is reading a story book. She reads 30 pages of the book per day. After three days of reading, 5/8 of the book are left. How many pages are in the book?
Compare / Contrast
Jamie read 90 pages of a book in 2 days. If the book has 225 pages in it, what portion of the book does she read each day?
How many days will it take Jamie to finish the book?
Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.
what is unitary method ?A mathematical strategy for resolving proportionality issues is the unitary method. Finding the price of one unit is the first step, and utilizing that value to determine the value of yet another quantity with a different quantity is the second. Consider being told, for instance, that an automobile drives 300 kilometres in 5 hours. You are able to employ the unitary technique as shown below to determine how far the car drives in eight hours. For example, 1 hour is equal to 300/5, or 60 miles. To calculate the value of eight hours, use this value: Since 8 hours are equal to 8/1 units, 480 miles are covered in 8 hours.
given
Let P represent the book's total number of pages.
Jessica reads 30 pages per day, which translates to 330 pages after 3 days, or 90 pages total.
5/8 of the book is still to be read, which indicates that 3/8 of it has already been. As a result, P – 90 pages equals 3/8 of the book.
Divide both sides by 5, and you get:
P = 144
The book thus has 144 pages.
Regarding the second query:
She reads 45 pages per 225 pages, or 1/5 of the book.
We divide the total number of pages by the average number of pages Jamie reads each day to determine the number of days Jamie will need to finish the book.
Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.
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find the circumference of the base of circular flower pot with a diameter of 16.2
The circumference of the base of a circular flower pot with a diameter of 16.2 is 50.92.
Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional
circular shape including circle.
The circumference of a circle is the distance around its boundary.
If d is the diameter of the circle, then the circumference is given by:
Circumference = π × d
Circumference = π × 16.2
Using π ≈ 3.1415926,
we can calculate the circumference:
Circumference ≈ 3.1415926 × 16.2
Circumference ≈ 50.92
Therefore, the circumference of the base of a circular flower pot with a diameter of 16.2 is approximately 50.92.
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MidSegment theorem Someone please Solve for X For TOP and BOTTOM Question!
Will Give Brainiest and 5 Stars and Thumbs up and Comment.
The value of x on the first image is 5 and in the second image is 17.
What is Triangle?Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees which is called interior angles.
According to the given information:
In fig 1, by midsegment theorem,
[tex]x+8 = \frac{1}{2} (3x+11)[/tex]
on simplifying
[tex]2x+16=3x+11\\3x-2x = 16-11\\x = 5[/tex]
In fig 1, by midsegment theorem,[tex]x+5=\frac{1}{2} (3x-7)[/tex]
on simplifying
[tex]2x+10 = 3x-7\\3x-2x = 10+7\\x = 17[/tex]
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find a ratio that compares the relative sizes of the quantities
24 ounces to 12 pounds
We need to convert both quantities to the same units before we can compare them.
24 ounces is equal to 1.5 pounds (since there are 16 ounces in 1 pound).
So the ratio of 24 ounces to 12 pounds can be written as:
1.5 pounds : 12 pounds
Simplifying this ratio by dividing both sides by 12, we get:
0.125 : 1
Therefore, the ratio that compares the relative sizes of 24 ounces to 12 pounds is 0.125 : 1.
What is 3.254 rounded to the nearest hundredth?
Answer: 3.25
Step-by-step explanation:
To round 3.254 to the nearest hundredth, we need to look at the digit in the thousandth place, which is 4. Since 4 is less than 5, we do not need to round up the hundredth digit (5) to the next higher number. Therefore, the rounded number to the nearest hundredth is:
please choose my answer as brainly
Find the values of x and y when the smaller triangle has an area of 45 cm².
PLS PLS PLS HELP
Given two similar triangles
The corresponding sides are proportions
So,
[tex]\dfrac{x}{y} =\dfrac{20}{90} =\dfrac{2}{9}[/tex]
So, the relation between x and y will be:
[tex]x=\dfrac{2}{9} y[/tex]
The area of the smaller triangle = 45 cm²
So, area =
[tex]\dfrac{1}{2} x\times y=45[/tex]
Substitute with x into the equation of the area to find the value of y
[tex]\dfrac{1}{2} \times\dfrac{2}{9} y\times y=45[/tex]
[tex]y^2=\dfrac{45\times1\times9}{2} =\dfrac{405}{2}=202.5[/tex]
[tex]y=\sqrt{202.5}[/tex]
Substitute with y into x
[tex]x=\dfrac{2}{9} \times\sqrt{202.5} =\frac{2\sqrt{202.5} }{9}[/tex]
So, the answer will be:
[tex]x=\frac{2\sqrt{202.5} }{9}[/tex]
[tex]y=\sqrt{202.5}[/tex]
Line passing through the points H(- 25.16) and 1(- 2.5).
Answer:
I'm assuming that 1 is actually a point with coordinates (1, something) and you meant the point H(25,-16).
To find the equation of the line passing through two points (x1,y1) and (x2,y2), we can use the point-slope form:
y - y1 = m(x - x1)
where m is the slope of the line, which can be calculated as:
m = (y2 - y1) / (x2 - x1)
Using the points H(25, -16) and 1(-2.5, y), we have:
m = (-16 - y) / (25 - (-2.5)) = (-16 - y) / 27.5
Multiplying both sides by 27.5, we get:
-16 - y = -0.58x + b
where x is the x-coordinate and b is the y-intercept of the line. To find b, we plug in one of the points (let's use H) and solve for b:
-16 - (-16) = -0.58(25) + b
b = -16 - (-14.5) = -1.5
Therefore, the equation of the line passing through H(25, -16) and 1(-2.5, y) is:
y + 1.5 = -0.58(x + 2.5)
or:
y = -0.58x - 4.25
Note: I assumed that you meant H(25,-16) and I used -2.5 as the x-coordinate for point 1 because you didn't specify what it was.
What is the solution to this system?
Thw solution to the given system of equations as required to be determined in the task content is; (-1, 0).
What is the solution to the given system of equations?It follows from the task content that the solution to the given system of equations is to be determined as required.
since the given equations are;
y = -3x - 3 and y = 4x + 4
Since; y = y
-3x - 3 = 4x + 4
7x = -7
x = -7 / 7
x = -1.
and y = -3 (-1) - 3; y = 0.
Ultimately, the solution (x, y) to the given system of equations as required to be determined is; (-1, 0).
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Please help me right now
The graph of the function is in the image at the end, there we can see that the range is (-3, ∞)
Which is the range of the function?Remember that the range of a function is the set of the possible outputs of a function.
Here we have the function:
f(x) = (1/2)ˣ - 3
The graph of the function is in the image at the end.
There we need to look at the vertical axis to identify the range, here we can see that the function goes from y = -3 upwards (asymptothically), then the range is (-3, ∞)
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The diagram below shows part of the graph of y= ax+b/x+c
The y-intercept is (0,-4).
The vertical asymptote is x= -2.
The horizontal asymptote is y=3.
Find the value of b
The value of b, given the graph, the vertical and horizontal asymptote, would be - 8 .
How to find the value of b ?At the y-intercept, x = 0. We can plug this into the equation and solve for y:
-4 = (a(0) + b) / (0 + c)
-4 = b / c
The vertical asymptote occurs when the denominator is equal to 0:
x + c = 0
x = -2
Thus, c = 2.
The horizontal asymptote occurs when the limit of the function as x approaches infinity is equal to a constant value:
y = a/c
3 = a/2
a = 3 * 2
= 6
The value of b would therefore be:
-4 = b / 2
b = -8
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Помогите срочно решить эту задачу! Дам все свои баллы за эту задачу.
Mirando asked Jimmy, "Do you have a college degree?"
Is this a statistical question?
Choose 1 answer:
Answer: No, it’s not a statistical question
Step-by-step explanation:this question only pertains to one person and it not something that can be represented as a statistic.
4x7x2 1\2 I really need a good answer
Answer:
70
Step-by-step explanation:
Hello there! Let's work this through:
Firstly, we might want to simply 2 1/2 into 5/2, for simplification.
So, we now have 4 * 7 * 5/2
Simplifying we have [tex]\frac{4*7*5}{2}[/tex]
We see that we can easily simplify 4/2 into 2 * 7 * 5
Further simplifying we get 10*7
Last bit and we get our answer of 70
From here we get 2
What is the total cost of a $708 tablet computer that is on sale at 15% off if the local sales tax rate is 4%?
The total cost of the tablet is $
(Round to two decimal places
The required total cost of the tablet computer is $625.87.
How to find the cost of the tablet computer that is on sale at 15% off?
A sales discount, also referred to as a "discount," gives customers of a company a discount on one or more of the offered goods or services. Limits can be applied to almost any industry or business offering deals of an item or administration.
According to question:The discounted price of the tablet computer is:
[tex]$\begin{align*}708 \times 0.85 &= 601.80\end{align*}[/tex]
The sales tax on the tablet computer is:
[tex]$\begin{align*}601.80 \times 0.04 &= 24.072\end{align*}[/tex]
Therefore, the total cost of the tablet computer, including sales tax, is:
[tex]$\begin{align*}601.80 + 24.072 &= 625.87\end{align*}[/tex]
Therefore, the total cost of the tablet computer is $625.87.
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Mr. Carlson is planning his daughter's birthday party at either a roller rink or at a laser tag facility. The roller rink charges $5 per guest for skate rental, plus $55 to reserve a private reception area. The laser tag facility charges $8 per guest for admission, plus $25 to reserve a private reception area. For what number of guests is the total cost the same at each location?
The total cost is the same for both locations when there are 10 guests.
To determine the number of guests for which the total cost is the same at each location, we need to set up an equation and solve for the number of guests (let's call it x).
Roller rink cost: 5x + 55
Laser tag cost: 8x + 25
Now, set the two costs equal to each other and solve for x:
5x + 55 = 8x + 25
Subtract 5x from both sides:
55 = 3x + 25
Subtract 25 from both sides:
30 = 3x
Divide by 3:
x = 10
So, the total cost is the same for both locations when there are 10 guests.
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what is the reciprocal of 2-9 as a fraction or not
please I need right answers
Based on the given information, the angle is C. 22.1° an A. 20.4°.
What are Trigonometric functions?Trigonometric functions are mathematical functions that relate the angles and sides of a right triangle.
The basic trigonometric functions are:
Sine (sin): the ratio of the length of the side opposite an angle to the length of the hypotenuse of the triangle.
Cosine (cos): the ratio of the length of the side adjacent to an angle to the length of the hypotenuse of the triangle.
Tangent (tan): the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle.
We can use the trigonometric function tangent to find angle R in the right triangle:
tan(R) = opposite/adjacent = PQ/QR
tan(R) = 5.2/13.4
R = tan⁻¹(5.2/13.4)
R ≈ 22.1°
Therefore, the answer is C. 22.1° rounded to one decimal place.
Using the Pythagorean theorem, we can find the length of side AB:
AB = √(AC² - BC²)
= √(25² - 10²)
= √(575)
Now we can use the sine function to find the measure of angle C:
sin(C) = BC/AB
C = sin⁻¹(BC/AB)
= sin⁻¹(10/√(575))
≈ 20.4°
Therefore, the answer is A) 20.4°.
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Which number marks the center of Islamic learning
A.1
B.3
C.5
D.7
Answer: C.5
Step-by-step explanation:
Charles has two six-sided die. one of the die is fair, and the other die is biased so that it comes up six with probability 2 3 and each of the other five sides has probability 15 1 . charles chooses one of the two dice at random and rolls it three times. given that the first two rolls are both sixes, the probability that the third roll will also be a six is p q, where p and q are relatively prime positive integers. find p q. (2014 aime ii problem 6 )
The value of P and Q is 35.
Let's first understand the given information:
Charles has two six-sided dice, one fair and one biased. The fair die has equal probabilities for each side (1/6). The biased die has a 2/3 probability for rolling a six and 1/15 probability for each of the other five sides. Charles chooses a die randomly and rolls it three times.
Given that the first two rolls are sixes, we are asked to find the probability that the third roll will also be a six, expressed as a simplified fraction p/q.
We can solve this problem using conditional probability. Let A be the event that Charles chooses the biased die, and B be the event that he rolls three sixes in a row. We want to find the probability of B given A.
P(B|A) = P(A ∩ B) / P(A)
Since Charles chooses the die randomly, P(A) = 1/2. To find P(A ∩ B), we need to find the probability that Charles chooses the biased die and rolls three sixes in a row. This can be calculated as:
P(A ∩ B) = P(A) * P(rolling three sixes with the biased die) = (1/2) * (2/3)^3
Now we can find P(B|A):
P(B|A) = P(A ∩ B) / P(A) = ((1/2) * (2/3)^3) / (1/2) = (2/3)^3 = 8/27
Thus, the probability that the third roll will also be a six, given that the first two rolls are sixes, is 8/27, so the answer is p + q = 8 + 27 = 35.
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What is the output of the function when the input is 10? On the graph, plot this point and label its coordinates
2 What is the input to the function when the output is 5? On the graph, plot this point and label its coordinates
45
dollars on card
40
35
330
25
20
15
10
5
Undo
N
3
4
5
9
P= (7,27,5)
7 8
9 10 11 12 13 14 15 16 17 18 19
number of rides
Answer:
I'm sorry, but your request is unclear. Can you please provide more context or information so that I can better understand and assist you? Thank you.
A cube-shaped box has edges
that are 6 centimeters long. The
box does not have a top. What is
the surface area of the box?
I need help with this
The two streets that are the legs of the Triangle are Streets A and B.
The length of C street can be found to be 3. 61 miles.
If Dan can bike 4 miles in half an hour, then he can make the trip to Sarah's house in 30 minutes.
How to find the length ?The length of C street can be found using the Pythagorean Theorem which is:
Length C ² = Leg A ² + Leg B²
This means the length of C street is:
Length C ² = 2 ² + 3 ²
Length C ² = 13
Length C = √ 13
= 3. 61 miles
This means that Dan can get to Sarah's house in 30 minutes if he is going at 4 miles per half hour.
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ASAP!!!
Which of the following tables represents a linear function?
Answer:
table 1
Step-by-step explanation:
You want to know which of the four given tables represents a linear function.
1.The x-values increase by 2; y-values decrease by 2/3. The rate of change is constant. This is a linear function.
2.The x-values increase by 2; y-values decrease, then increase again. The rate of change is not constant. This is not a linear function.
3.The x-values increase by 2; y-values increase by changing amounts. The rate of change is not constant. This is not a linear function.
4.The x-values repeat. This is not a function.