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padilas [110]
3 years ago
15

A large national bank determines if each of its branches is profitable or not profitable. Additionally, the location of each bra

nch is classified as urban, suburban, or rural. A summary of the profitability and location type of a random sample of 175 of the bank’s branches is shown in the table.
Profitable Not Profitable
Urban 64 17
Suburban 39 22
Rural 18 15

(a) From the sample of 175 branches summarized above:

(i) What proportion of branches are profitable?
(ii) What proportion of branches from an urban location are profitable?
(iii) What proportion of branches from a rural location are profitable?

(b) Assuming the conditions for inference are met, does the data provide convincing statistical evidence that profitability and location type are independent for the bank at a 5 percent level of significance? Complete the appropriate inference procedure to support your answer.
Mathematics
1 answer:
Lena [83]3 years ago
6 0

Answer:

Step-by-step explanation:

i) (64+39+18)/(175)=0.691

ii) 64/(64+17)=0.79

iii) 18/(18+15)=0.55

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You are the administrator of an annual essay contest scholarship fund. This year a $90,000 college scholarship is being divided
Vinil7 [7]

Answer:

Runner-up: $15,000

Winner: $75,000

Step-by-step explanation:

Let's create an equation for this problem.

Let x=the amount the runner-up receives

Let 5x=the amount the winner receives

Then,

x+5x=90,000

6x=90,000

x=15,000

5x=75,000

3 0
3 years ago
A function is shown f(x) = 2/3x +3 what is the value of f (6)?
Katena32 [7]

Answer:

The answer is 28/9

Step-by-step explanation:

Step one

Given information

We are given that the function is

f(x) = 2/3x +3

And we are expected to find f(6), that is substitute the value of x with 6

Step two:

f(6)= 2/3(6)+3\\\\f(6)=2/18+3\\\\f(6)=1/9+3\\\\f(6)=1+27/9\\\\f(6)= 28/9

5 0
3 years ago
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4
Klio2033 [76]
Hello!

You can solve this by plugging 1 into g(x) and plugging the result into h(x).

g(x) = 2x
g(1) = 2(1)
g(1) = 2

h(x) = 2x + 4
h(g(1)) = 2(2) + 4
h(g(1)) = 4 + 4
h(g(1)) = 8

Answer:
<span>(h ∘ g)(1) = 8</span>
8 0
3 years ago
25) Margie needs to borrow $9,000 from a local bank. The
azamat

Answer:

B) $3060.00

Step-by-step explanation:

8.5% of 9,000 equals 765, then 765 multiplied by 4 equals 3060.

I think that it will take Margie 4 years to pay back the bank. And the interest rate that the bank charges is 8.5% per month.

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7 0
3 years ago
Bath and 1 yard of ribbon. She is 1/2 yard for project. She wants to divide the rest of the ribbon into pieces 1/4 yards long. H
ikadub [295]

Answer:

2

Step-by-step explanation:

Given:

Total length of ribbon = 1 yard

Length of ribbon used for project = \frac{1}{2} yard

Length of ribbon the rest of ribbon is to be divided = \frac{1}{4} yard

To find:

The number of ribbons of length \frac{1}{4} yard that can be made = ?

Solution:

Length of ribbon left after the 1 yard ribbon is used for project can be calculated by subtracting the length of ribbon used from the initial length of ribbon.

i.e.

Length of ribbon left = 1-\frac{1}{2} =\frac{1}{2} yard

Now, number of ribbon of length \frac{1}{4} yard can be found be dividing the length of ribbon left with the length of ribbon pieces to be cut.

i.e.

Number of ribbons:

\dfrac{\frac{1}{2}}{\frac{1}{4}}\\\Rightarrow \dfrac{1}{2}\times 4 = 2

3 0
3 years ago
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