A popular charity used 29% of its donations on expenses. An organizer for a rival charity wanted to quickly provide a donor with evidence that the popular charity has expenses that are higher than other similar charities. The organizer randomly selected 20 similar charities and examined their donations. The charity conducts a one-mean hypothesis at the 5% significance level, to test whether the mean is less than 29%.
(a) Which answer choice shows the correct null and alternative hypotheses for this test.
H0:μ=0.29; Ha:μ<0.29, which is a left-tailed test.
(b) The percentages of the donations that those 20 charities spend on expenses are given below.
Use Excel to test whether the mean is less than 29%. Identify the test statistic, t, rounding to two decimal places, and p-value, rounding to three decimal places from the Excel output.
21
9
24
14
25
31
23
37
19
25
31
20
41
32
26
32
27
35
5
25
Test Statistic= P-value=

Answer:

a)   P₁  = 250 and    P₂ = 300

b) The explicit formula   Pₙ = 150+ 50 n

c)  [tex]P_{60} = 3150[/tex]

Step-by-step explanation:

Step(i):-

Given that Pₙ = pₙ₋₁ +50 and P₀ = 200

Put n =1

         P₁ = P₀+50 = 200+50 = 250

Put n =2

         P₂ = P₁+50 = 250+50 = 300

Put n=3

       P₃ = P₂+50 = 300+50 = 350

and so on

The sequence     200,250,300,350,..

Step(ii):-

The sequence     200,250,300,350,.. is an arithmetic sequence

The explicit formula

       Pₙ = a+(n-1)d

       Pₙ = 200+(n-1)50

       Pₙ = 200+ 50 n -50

        Pₙ = 150+ 50 n

The explicit formula   Pₙ = 150+ 50 n

c)

The [tex]n^{th}[/tex] term of the sequence

       Pₙ = 150+ 50 n

put n=60

      [tex]P_{60} = 150 + 50 (60) = 3150[/tex]

The size of the city in 10 years is equal to 29,802.32

Given the following data:

To calculate the size of the city in 10 years:

In this exercise, you're required to determine the size of this city in the next ten (10) years.

Mathematically, the exponential growth of a population is given by this formula;

[tex]P = a(1+r)^t[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]P = 3200(1+0.25)^{10}\\\\P = 3200(1.25)^{10}\\\\P = 3200 \times 9.3132[/tex]

P = 29,802.32

Read more on here: https://brainly.com/question/23213182

Answer:

0.86

Step-by-step explanation:

0.86431 -> 0.86

Answer:

0.86

Step-by-step explanation:

since the number is the third decimal place is lesser than five, the number in the second decimal place remains thee same and will not increase

Answer:

first, you want to start with the b (-3) graph on the y-axis. after that, since your x is 2 you will start from -3 on the y-axis and go up 2 and to the left once and keep doing that till you run out of space. then go back to the -3 on the y-axis and go down 2 and to the right once

Answer:

below in a screenshot

Step-by-step explanation:

Start with the y intercept, which in this case is negative three.

Make your first point at (0,-3)

Then, identify the slope. Here, it is 2 or 2/1

Go up two, right one. Mark your second point. Connect the two points and you're done!

Answer:

m= -2

Step-by-step explanation:

Answer:

A = 41.41

Step-by-step explanation:

Since this is a right angle, we can use trig functions

cos A = adjacent/ hypotenuse

Cos A = 6/8

Taking the inverse cos of each side

cos ^ -1 ( cos A) = cos ^-1 ( 6/8)

A =41.40962211

Rounding to the nearest hundredth

A = 41.41

Answer:

26 teaspoons

Step-by-step explanation:

15+20=35

6+20=26

Answer:

where is the given?

Step-by-step explanation:

please give it to comment section and i will answer it

Answer:

I am pretty sure its A sorry if its incorrect

Answer:

point B

Step-by-step explanation:

hope it helps you

Answer:

(6,0)

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Answer:

p(x≤2)

0.926

Step-by-step explanation:

1. The probability of getting 2 stones with a diameter of 0.75 or greater can be given as

P(x≤2)

2. We have λ = 26/27

= 0.963 per cubic foot

We use the poisson distribution here;

P(x) = e^-λ(Rλ)^x/x!

P(x≤2) = p(x=0)+p(x=1)+p(x=2)

= e^-0.963 + e^-0.963(0.963) + e^-0.963(0.963)²/2!

= 0.3817+0.3675+0.1769

= 0.926

Answer:

d. 11050

Step-by-step explanation:

1. you're dividing to see how much one costs, 4420 divided by 4 = 1105

2. multiply by 10, 1105 x 10 = 11050 (add a zero)

Answer:

i dont know the exact answer but i can give you the instuctions on how to do do it.

Step-by-step explanation:

1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.

2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)

3. Add the answers you got from 1 and 2 to get your answer.

And there you have it.

Hope this helps!  

-Alex

Answer:

894

Step-by-step explanation:

Answer:

[tex] \frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] } [/tex]

Step-by-step explanation:

Let y = sin(x+y)

Differentiating with respect to x on both sides.

[tex] \frac{dy}{dx} = \frac{d}{dx} \sin(x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)\frac{d}{dx} (x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)(1 + \frac{dy}{dx}) \\ \\ \frac{dy}{dx} = \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\ \\ \frac{dy}{dx} - \cos(x + y) \frac{dy}{dx} = \cos(x + y) \\ \\ \frac{dy}{dx} [1 - \cos(x + y)] = \cos(x + y) \\ \\ \purple {\bold {\frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}} [/tex]

Answer:

Dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

given that depth of pool = 8 ft

let say one side of pool that is width = x

so other side of pool that is lenght = 3.5x [ given ]

volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft

Volume of rectangular pool = length × width × depth of swimming pool

⇒ 4032 cubic ft = 3.5x × x × 8

⇒ 4032/(3.5 ×8 ) = x²

⇒x² = 144

⇒x = √144 = 12

⇒3.5x = 12 × 3.5 = 42

hence dimension of pools are  length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft

Step-by-step explanation:

As I can tell the tables are right but it would be a function since none of the x's repeat

try using the app Photomath for numbers 1-3!

Answer:

-5 and -1

Step-by-step explanation:

it's like a quadratic function, we know that every output has two input excluding the maxima or minima points. trace out a horizontal line from y= 4 and draw vertical lines where it meets the graph.

Answer:

The third choice:  0.091

Step-by-step explanation:

There are only 9 cards with numbers that add up to 10:

19, 28, 37, 46, 55, 64, 73, 82, & 91

9/99 = 0.090909 or 0.091

Answer:

where are the stones

Step-by-step explanation:

Answer:

you have to figure out how big the stones are and add to the box accordingly

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.41

Answer:

Step-by-step explanation:

If a quadrilateral is a figure, then it has four sides.

Answer:

D.

Step-by-step explanation:

it is right

Answer:

EB = |1 – (− 5)| = 6

AE = |4 – (− 4)| = 8

Using the Pythagorean Theorem to find AB:

AB2  =  EB2 + AE2

AB2  =   62 + 82

AB2  =  36 + 64

AB  =  [tex]\sqrt{100}[/tex]

AB  =  10

Step-by-step explanation:

Answer:

AE = |4 + 4| = 8

EB = |1 + 5| = 6

Distance Formula: d = √(x2-x1)2 + (y2-y1)2 

AB = √(x2-x1)2 + (y2-y1)2 

A = (-5,-4)

B = (1,4)

AB = √(1-(-5))2 + (4-(-4))2 

AB = √(6)2 + (8)2 

AB = √(6)2 + (8)2 

AB = √36 + 64

AB = √100

AB = 10