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

HELP ASAP!!! A padlock has a rotary dial of numbers from 0 to 59. The combination is a series of three numbers, each between 0 and 59. If you were to guess random numbers, what is the probability of guessing the combination correctly?

Answers

Answer

1/216000

Step-by-step explanation:

1/60 x 1/60 x 1/60

I hope this helps

The probability of guessing the combination correctly is extremely low, approximately 0.00046%.

What is probability?

Probability is represented as the likelihood of an occurrence being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 60 possible numbers on the rotary dial of the padlock, from 0 to 59. To calculate the total number of possible combinations, we can use the multiplication principle of counting.

Since the combination has three numbers, each of which may be any of the dial's 60 possible digit numbers, the total number of possible combinations is:

60 x 60 x 60 = 216,000

As a result, the padlock has 216,000 probable combinations.

If you were to predict random numbers, your chances of getting the proper combination are as follows:

1 / 216,000

This is due to the fact that there is only one accurate combination among the total of 216,000 conceivable combinations.

The likelihood of successfully guessing the combination is extremely low, around 0.00046%, implying that a human cannot open the padlock by randomly guessing the combination.

Learn more about probability here:

brainly.com/question/11234923

#SPJ6

7r + 6s - t for r = -5, s = 2, and t = 4
A -19
B -27
C -43
D -51

Answers

Answer:

B. -27

Step-by-step explanation:

7*-5= -35           6*2 = 12 .          t= 4

-35 + 12 = -23

-23 - 4 = -27

Answer: B. -27

Step-by-step explanation:

7(-5) + 6(2) - 4

-35 + 12 - 4

-23 - 4

= -27

Please help me with this question if you can

Answers

Answer:

c

Step-by-step explanation:

supplementary means together that equal 180°, implying that 4 and 1 are equal, five and three are equal, which makes line k in line j parallel to each other.

Solve x2 - 8x - 9 = 0.

Rewrite the equation so that it is of the form
x2 + bx = c.

Answers

Answer:

x2-8x=9

Step-by-step explanation:

you move the negative nine to the other side of the equals to become positive

14. Solve 2/3 + 5/6 and put answer in simplest form.
A. 9/6
B.1 1/2
C 2/3
D. 7/6

Answers

Answer:

I believe it is C

Step-by-step explanation:

the answer is supposed to be 3/2 but i dont know

i think D, because don’t you find the most common denominator, which would be 6, then add the top?

x^2 +10x+21 factor this

Answers

Answer:

(x+3)(x+7)

Step-by-step explanation:

3 and 7 are factors of 21, and they add up to 10.

Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive

Answers

Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Fox vvgggfffdfccvvvgttg

Pictures are in order !

Answers

Did you attach the photos because I don't see the picture???

7. Mrs. Paulson is constructing a 90% confidence interval for the difference of means based on independent
simple random samples from two populations. The sample sizes are n, = 6 and n, =14. She draws dotplots
of the sample data to check one of the conditions for using two-sample i procedures. Which of the following
descriptions of those dotplots would suggest that it is safe to perform inference?
(a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.
(b) Both dotplots are roughly symmetric. The dotplot of sample 2 has an outlier.
(c) Both dotplots are strongly skewed to the right. There are no outliers in either dotplot.
(d) Both dotplots are roughly symmetric. Both dotplots have one upper outlier
(e) i procedures are not recommended in any of these cases.

Answers

The description that will show that it is safe to perform inference is that (a) Both dotplots are roughly symmetric. There are no outliers in either dotplot.

What description would make it possible to make inferences?

In order to use the two-sample t procedure to make inferences, certain conditions need to be met such as the sample being random and independent.

The variances for the groups in the data need to be equal which is why the presence of no outliers in either dotplot would present an safe opportunity to be able to perform inferences on the data.

In conclusion, option A is correct.

Find out more on two-sample t-tests at https://brainly.com/question/17438355.

What is the answer to the problem

Answers

Answer:

7

Step-by-step explanation:

The sum of the measures of the angles inside a triangle is 180°. Therefore, we can create the equation (6x+5)+60+73=180.

Then we simplify:

1. combine like terms. (6x+5)+60+73=6x+5+60+73=6x+138

2. 6x+138=180, -138 to both sides of the equation. the equation becomes 6x=42.

3. /6 to both sides of the equation. we can reach the conclusion that x=7

The sum of the 3 angles in a triangle = 180°

73 + 60 + 6x + 5 = 180
138 + 6x = 180
6x = 42
x = 7

Please lmk if you have questions.

i need help please help!!!!!!!!!!!! i will give extra points

Answers

Answer:

90 cubic units

Step-by-step explanation:

6x3x5=90

A. using substitution find the value of the remaining unknown in each of the following formulas.

1.t=rs (s + 1) if r=4 and s=5
2.k=6-5q/2g if q=3 and g=8
3.p=a+b-2c if a=2, b=-1 and c=5
4.l=1/x - 2/y + z if x=4, y=6, and z=2/3

Answers

Answer:

Substitution means that we need to replace some of the variables by the given values.

1)  t = rs*(s + 1)      (if r=4 and s=5)

So we just need to replace r by 4 and s by 5 in the equation.

t = 4*5*(5 + 1) = 20*6 = 120

t = 120

2)  k = 6 - 5q/2g     (if q=3 and g=8)

We need to replace q by 3, and g by 8.

k = 6 - (5*3)/(2*8) = 6 - 15/16 = 5.167

k = 5.167

3) p = a + b - 2c   (if a = 2, b = -1, c = 5)

Replacing the variables we get:

p = 2 + (-1) - 2*(5)

p = 2 - 1 - 10 = -9

p = -9

4) I = 1/x - 2/y + z   (if x = 4, y = 6, and z = 2/3)

Replacing the variables we get:

I = 1/(4) - 2/(6) + (2/3)

I = 1/4 - 2/6 + 2/3 =  1/4 - 1/3 + 2/3

I = 1/4 + 1/3 = 3/12 + 4/12 = 7/12

I = 7/12 = 0.583

PLZZZ HELP!!! ASAP
Will mark brainiest :)))

Answers

Answer:

Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em

this is only the explanation how to do it with you want the answer ask in the comment section

Step-by-step explanation:

Answer:

4. 1230

Step-by-step explanation:

A rectangle has parallel sides, so we know two sides are 30. 30+30=60. We subtract 142-60=82. Then we divide by two: 82/2=41. Then you know that both sides are 41 and 30. Multiply, and you get 1230.

Below is the graph of a trigonometric function. It has a maximum point at (-5, 2.5) and a minimum point at
(-1.7, -4.5).

Answers

Answer:-1

Step-by-step explanation:

2.5+(-4.5) then / 2

Solve for the value of r.

Answers

Answer:

14

Step-by-step explanation:

The two given angles are opposite angles and opposite angles always have the same measure. Knowing this, we can construct the following equation:

7r+6=8r-8

Subtract both sides by 6

7r+6-6=8r-8-6

7r=8r-14

Subtract both sides by 8r

7r-8r=8r-14-8r

-r=-14

Divide both sides by -1

r=14

I hope this helps!

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 :(

Draw a plane intersecting a cube to get the cross section indicated. rectangle


OA
OB
OC
OD​

Answers

I think the answer is OA

Find the area of the polygon.

Answers

6 is the answer to your question

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

You have a ten sided die. the die is rolled find the probability of the following:-

A-) P(5or odd number)

B-) P(odd or prime number)

Answers

A:1,3,5,7,9

b:2,3,5,7,

Which triangles must be congruent? Abc, fde, and gih.

Answers

Answer:

A. ΔABC, ΔFDE and ΔGIH

Step-by-step explanation:

From the given descriptions for the three triangles, it can be inferred that;

DE ≈ HI ≈ BC

AB ≈ FD ≈ GI

m<B = m<D = m<I

So that by Side-Angle-Side (SAS) relations among the triangles, the three triangles are congruent.

This implies that: ΔABC ≅ ΔFDE ≅ ΔGIH

The appropriate answer to the given question is A.

Find the probability of exactly two
successes in five trials of a binomial
experiment in which the probability of
success is 50%.
Round to the nearest tenth of a
percent.

Answers

Answer:

Step-by-step explanation: 0.5

Rewrite 7^-2 using a positive exponent an evaluate the result.

Answers

positive exponent= 1/7^2
evaluate=1/49

24 ÷ v x k when v=2 and k=4

Answers

Answer:

48

Step-by-step explanation:

24 ÷ v x k

24 ÷ 2 x 4    

(Since it's multiplication and division, you just go from left to right in order)

12 x 4

48

A tennis tournament has 342 players. A single match involves 2 players. The winner of a match will play the winner of a match in the next round, whereas losers are eliminated from the tournament. The 2 players who have won all previous rounds play in the final game, and the winner wins the tournament. What is the total number of matches

Answers

Answer:

341 matches

Step-by-step explanation:

Given

[tex]Players = 342[/tex]

[tex]Match = 2\ players[/tex]

Required

Total number of matches.

The total number of matches is calculated by getting the number of matches in each round.

i.e.

[tex]Matches = \frac{Players}{2}[/tex]

So, we have:

Round 1

[tex]Matches = \frac{342}{2} = 171[/tex]

Round 2

[tex]Matches = \frac{171}{2} = 85\ R\ 1[/tex] [R 1 means remainder 1]

Round 3

[tex]Matches = \frac{85 + 1}{2} = \frac{86}{2} = 43[/tex]

[The remainder is added to each round]

Round 4

[tex]Matches = \frac{43}{2} = 21\ R\ 1[/tex]

Round 5

[tex]Matches = \frac{21+1}{2} = \frac{22}{2} = 11[/tex]

Round 6

[tex]Matches = \frac{11}{2} = 5\ R\ 1[/tex]

Round 7

[tex]Matches = \frac{5+1}{2} = \frac{6}{2} =3[/tex]

Round 8

[tex]Matches =\frac{3}{2} = 1 + 1[/tex]

Round 9

[tex]Matches = \frac{1+1}{2} =\frac{2}{2} = 1[/tex]

So, the total is:

[tex]Total = 171 + 85 + 43 +21 + 11 + 5 + 3 + 1+1[/tex]

[tex]Total = 341[/tex]

Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?
it's one of these...
4.55%
8.33%

Answers

Answer:

4.55

Step-by-step explanation:

AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.

My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.

As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:


The family is hiking in the mountains at a rate of 6 miles every 3 hours
How long would it take the family to hike 7.5 miles?
(Hint: You will have a decimal or fraction in your final answer!)

Answers

Answer:

Time = 3 hours & 45 minutes

Step-by-step explanation:

Distance = 6 miles

Time = 3 hours

Speed = Distance ÷ Time

Speed = 6 ÷ 3

Speed = 2 miles/hour

....................................................

Speed = 2 miles/hour

Distance = 7.5 miles

Time = Distance ÷ Speed

Time = 7.5 ÷ 2

Time = 3.75 hours

3.75 hours = 3 hours & 45 minutes

Answer:

Step-by-step explanation:

Time taken to travel 6 miles = 3 hours

Time taken to travel 1 mile = 3 ÷ 6 = [tex]\frac{3}{6}=\frac{1}{2} hour[/tex] = 30 minutes

Time taken to travel 7.5 miles = 30 * 7.5 = 225 minutes = 3.45 hours

A woman borrows ​$ 6,000 at 12​% compounded​ monthly, which is to be amortized over 3 years in equal monthly payments. For tax​ purposes, she needs to know the amount of interest paid during each year of the loan. Find the interest paid during the first​ year, the second​ year, and the third year of the loan. ​[Hint: Find the unpaid balance after 12 payments and after 24​ payments.]

Answers

Answer:

nsdjdhbdeihddjjdoeuriehdisueueeuhd

Will give brainliest

Answers

Answer:

Perpendicular

Step-by-step explanation:

Answer:

Perpendicular

Step-by-step explanation:

They form a 90 degree angle.

What is the equation SA=B+1/2Pl used for

Answers

Answer:

To find the surface area of a pyramid

Step-by-step explanation:

The equation is used to find the surface area of a pyramid.

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