The charitable foundation for a large metropolitan hospital is conducting a study to characterize its donor base. In the past, most donations have come from relatively wealthy individuals; the average annual donor income in the most recent survey was right at $100,000. The foundation believes the average has now increased. A random sample of 200 current donors showed a mean annual income of $103,157 and a standard deviation of $27,498. To perform this study, we should form a null hypothesis stating that the average is

Answers

Answer 1

Answer:

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000

Step-by-step explanation:

The claim is mostly treated as alternate hypothesis .

In this question the claim is given as the average annual donor income has increased therefore it is written as

Ha: u > 100,000

The null hypothesis is reverse of the alternate hypothesis

H0: u ≤ 100,000

The null hypothesis will be that the average annual donor income is less or equal to $ 100,000


Related Questions

f(x)=-2x² + 3x-6, find f (3)

Answers

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6Multiply:                                                                                                             f(3) = -18 + 9 - 6Add:                                                                                                                   f(3) = -9 - 6Subtract:                                                                                                            f(3) = -15

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6

Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6

Multiply:                                                                                                             f(3) = -18 + 9 - 6

Add:                                                                                                                   f(3) = -9 - 6

Subtract:                                                                                                            f(3) = -15

ruby has 202 minutes left on her cell phone plan for the next 5 days. is it possible for ruby to use the same number of whole minutes each day? explain.

Answers

Answer:

no, 202 is not evenly divisible by 5

Step-by-step explanation:

Which equation would you use to find the value of y?

360−152 because you subtract the arc measure from 360°.


2(152) because the angle on the circle is twice the intercepted arc.


y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.


1/2 (152) because the inscribed angle is half the intercepted arc.

Answers

9514 1404 393

Answer:

  (c)  y=(1/2)(360−152) because you subtract the arc measure from 360° and then multiply by one-half.

Step-by-step explanation:

The inscribed angle y is half the measure of the intercepted arc. That arc is the difference between 360° and 152°. So, y is ...

  y = 1/2(360° -152°)

(9m + 10) x2

please solve this if u do u get 30 points

Answers

Answer:

18m+20

Step-by-step explanation:

Hope this helps ya

A four-sided backyard is in the shape of a parallelogram and has two adjacent sides both with lengths of 30 feet. Which of the following must be true about the shape of the backyard?​

Answers

Answer:

The question is uncomplete.

Step-by-step explanation:

Sorry but after you said

"which of the following must be true about the shape of the backyard." you didn't list possibilities after that. sorry

The statement that is true about the shape of the backyard is that: it is a rhombus.

What is a Rhombus?

A rhombus is a quadrilateral whose adjacent sides have equal lengths, that is, they are congruent.

Thus, since the four-sdied backyard is in the shape of a parallelogram and also has two adjacent sides that are congruent (30 ft each), then it is a rhombus.

Therefore, the statement that is true about the shape of the backyard is that: it is a rhombus.

Learn more about rhombus on:

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What is the average rate of change of the function =2sin(1/2)on the interval [0, π]?

Answers

Answer:

4/x = [tex]\frac{\pi }{6}[/tex], 5 [tex]\frac{\pi }{6}[/tex]

Step-by-step explanation:

Sorry if I am wrong

The average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].

What is the average rate of change?

The average Rate of Change of the function f(x) can be calculated as;

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]

The given function is f(x) = 2sin(1/2)x on the interval [0, π]

Here a = 0

b = π

f(a) = 2sin(1/2)a

f(0) = 0

f(b) = 2sin(1/2)π = 2

Step 2: Find Average

[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\f(x) = \dfrac{2- 0}{\pi }\\\\f(x) = \dfrac{2}{\pi }\\[/tex]

Therefore, the average rate of change of the function in the given interval [0, π] is [tex]\dfrac{2}{\pi }[/tex].

Learn more about average rate;

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What is the length of the diagonal of the rectangle?

Answers

9514 1404 393

Answer:

  21.25

Step-by-step explanation:

The Pythagorean theorem tells you the length of hypotenuse c of a right triangle with legs 'a' and 'b' is ...

  c = √(a² +b²)

Here, that means the diagonal length d is ...

  d = √(17² +12.75²) = √(289 +162.5625) = √451.5625

  d = 21.25 . . . . length of the diagonal

Pls helppp i have a timer!!
(10 points)

Answers

Answer:

they are both corresponding angles (equal)

48=4x

48/4=x

12=x

Answer:

x = 12

Step-by-step explanation:

4x and 48 are corresponding angles and are congruent, then

4x = 48 ( divide both sides by 4 )

x = 12

60 is 150% of which number?

Answers

Answer:

40

Step-by-step explanation:

Bob has $2,500 in a savings account that earns 3 % annually. How much will he earn in interest in 1 year?

Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.

Answers

He will earn $75 in interest in one year

Answer:

the answer is 2575 I believe

Step-by-step explanation:

(2500x3x1/100)

(2500+75)

1.5 units
2 units
3 units
3.5 units


Those are the answer options



I need help fast

Answers

Answer:

3 units

Step-by-step explanation:

There are 3 squares between them.

Fill in the blanks
will choose brain

Answers

5,20,45 I sure that’s the correct answer

Help with this question pls

Answers

Answer:

128 customers

Step-by-step explanation:

Brainliest maybe? :)

100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)

Answers

Answer:

l(x,y) = (-4y, -4x - 3)

Step-by-step explanation:

Let's start with function (x, y)

Transformations in the given order result in following

A dilation by a factor of 4 with the origin as the center of dilation

This results in both coordinates multiplied by 4(x, y) → (4x, 4y)

A reflection across the y-axis

This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)

A 90° counterclockwise rotation about the origin

This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)

A translation 3 units down

This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)

The final function is:

l(x) = (-4y, -4x - 3)

Answer:

l(x) = (-4y, -4x - 3)

I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(

What is 1/2 of 25? _______Explain.

Answers

Answer:

12.5

Step-by-step explanation:

0.5x25=12.5. FILLER

help me answer this question

Answers

answer: 8x3-125y3
(3s are power of x)

Jalice is an artist who makes paintings with basic shapes. She
wants to create a painting that has a total of 19 shapes, all
squares and triangles. She also wants the painting to have 11
more squares than triangles.

Answers

More squares than triangles

PLEASE!!

What is the COMBINED surface area of the prisms shown below?

Answers

81 I think can u give me the base edge and height plz

What is sin ?
What is a cos?

Answers

Answer:

Cos: adjacent / hypotenuse

In a right angled triangle, the cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse. Well Done!

Sin: In mathematics, the sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.

hope this helps out, if not, i'm sorry

Step-by-step explanation:

Answer:

Sin=O/H

Cos=A/H

Step-by-step explanation:

Sin in full is some, a trigonometric ratio calculated by dividing the opposite over the hypotenuse.

Cos is in full cosine , also a trigonometric ratio calculated by dividing the adjacent over the hypotenuse.

When creating equations for our word problems, we must remember to...

A. write all equations in slope-intercept form.

B. make sure all equations are in the same form.

C. define all variables.

Answers

9514 1404 393

Answer:

  C.  define all variables

Step-by-step explanation:

Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.

One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.

help i don’t understand this

Answers

Answer:

31.4 in

Step-by-step explanation:

Count the 4 mm lines and add it to 31 ins. So you end up with 31.4 in

Determine which of the following pairs of angles are complementary,
supplementary or neither.

Answers

Step-by-step explanation:

Supplementary angles add up to 180

Complementary angles add up to 90

you can check those angles by adding them up

121+59=180                 Supplementary

49+51=100                  Neither

25+65=90                  Complementary

Hope that helps :)

Step-by-step explanation:

121 and 59 are supplementary.49 and 51 neither.25 and 65 are complimantary.

The moon has a radius of 1738 km. Find the surface area to the nearest tenth. Use 3.14 for pie

Answers

Answer:

surface area = 4πr² = 4(3.14)(1738²) = ?   (something like 37, 939,290 km²)

My calculator will not go that high

Step-by-step explanation:

surface area = 4πr² = 4(3.14)(1738²) =

Maureen Ritter is paid $275 a week and a commission of. 7% on all sales. Her sales last week were $3,904. What were her total earnings for the week?

Answers

Answer:

548.28

Step-by-step explanation:

you want to take the original pay ( $275 ) and push that to the side.

take 3,094 and find 7% of that, which would be 273.28

lastly you want to take 273.28 and add the original pay of 275.

273.28 + 275 = 548.28

so her total pay for the week was 548.28

what is the coefficient of the term of degree 4 in this polynomial 4x^8+5x^4-2x^3+

Answers

5Answer:

Step-by-step explanation:

sorry if this is wrong

Find the percent of change. Round to the nearest tenth of a percent if necessary.


1/4 to 1/2

Answers

9514 1404 393

Answer:

  100%

Step-by-step explanation:

The percentage change can be computed from ...

  pct change = ((new value)/(old value) -1) × 100%

  = ((1/2)/(1/4) -1) × 100%

  = (2 -1) × 100%

  = 100%

The increase by 1/4 from 1/4 to 1/2 is an increase of 100%.

functions A and B are shown in the equation and graph. select the true statement. ​

Answers

It’s A
I have done that befor

Chloe wants to ride her bicycle 52 miles this week. She has already ridden 16 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal?

Answers

I’m pretty sure 7.2 miles
Answer : 7.2 more miles I think

Because 52 - 16 = 36
36 divided by 5 equals 7.2

Brianna has a 50$ online gift certificate from a book store. The cost of each book is $9. There is also a shipping charge of 5$ for her entire order. How many books can Brianna buy without spending more than her gift certificate amount?

Answers

Answer:

5

Step-by-step explanation:

9x+5=50

9x=45

x=5

Brianna can buy up to 5 books without spending more than her gift certificate amount.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

If each book costs $9 and Brianna has a $50 gift certificate, we can start by dividing the total amount she can spend by the cost of each book.

$50 gift certificate / $9 per book = 5.55 books

Since Brianna cannot buy a fractional part of a book, she can only purchase a whole number of books.

Therefore, the maximum number of books she can buy without spending more than her gift certificate amount is 5 books.

Additionally, there is a $5 shipping charge for the entire order, so Brianna should make sure to factor this into her budget.

If Brianna buys 5 books at $9 each, the total cost of the books will be $45. Adding the $5 shipping charge brings the total to $50, which is the exact amount of her gift certificate.

Therefore, Brianna can buy up to 5 books without spending more than her gift certificate amount.

To learn more on Equation:

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can someone actually help me :)

Answers

Answer:1 + 1

Step-by-step explanation:because 1+1 is 1+1

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