Please help show work I beg A 5 B 17 C 34 D 3

It takes a hospital employee 24 minutes to drive from home to the hospital, a distance of 16 miles. What is the employee’s avera

zlopas [31]

Answer:

r = 40 miles / hour

Step-by-step explanation:

Formula

d = r * t

Givens

d = 16 miles

t = 24 minutes = 24/ 60 minutes in an hour = 0.4 hours

r = ???

Substitute and solve

16 miles = r * 0.4 hours Divide by 0.4

16/0.4 = r Switch sides

r = 16/0.4

r = 40 miles / hour

6 0

3 years ago

The GPA of accounting students in a university is known to be normally distributed. A random sample of 20 accounting students re

Vladimir79 [104]

Answer:

The 95% of confidence intervals

(2.84 ,2.99)

Step-by-step explanation:

A random sample of 20 accounting students results in a mean of 2.92 and a standard deviation of 0.16

given small sample size n =20

sample mean x⁻ =2.92

sample standard deviation 'S' =0.16

level of significance ∝ = 0.95

The 95% of confidence intervals

$x^{-} ± t_{\alpha } \frac{S}{\sqrt{n} }$

the degrees of freedom γ=n-1 =20-1=19

t-table 2.093

$(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} },x^{-} + t_{\alpha } \frac{S}{\sqrt{n} })$

$(2.92 - 2.093(\frac{0.16}{\sqrt{20} } ,2.92+2.093(\frac{0.16}{\sqrt{20} } )$

(2.92-0.0748,2.92+0.0748)

(2.84 ,2.99)

Therefore the 95% of confidence intervals

(2.84 ,2.99)

4 0

3 years ago

A bank offers a 5% annual interest rate for a savings account. Perry puts $2,600 into an account to save for college. How much w

Brrunno [24]

Answer:

2730$

Step-by-step explanation:

The amount of money left in the account after n years is given by the equation

$p=p_0 (1+r)^n$

where

$p_0$ is the initial amount of money

r is the rate of interest

n is the number of years

In this problem, we have:

$p_0=2600$ is the initial amount of money

$r=\frac{5}{100}$ is the interest rate (5%)

n = 1 is the number of years

Therefore, the amount of money after 1 year is

$p=(2600)(1+0.05)^1=2730$

5 0

4 years ago

Priya mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate. Diego mixes 1 2/3 cups of water with 1/4 cup orange ju

bekas [8.4K]

Answer:

Priya needs 13⅓ cups of orange juice

Diego 15 cups

Step-by-step explanation:

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

Priya

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

Cup of water = 2½

Cup of orange = ⅓

If 2½ cups of water requires ½ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

2½ : ⅓ = 100 : x

5/2 : 1/3 = 100 : x ------------------Convert ratio sign to division

5/2 ÷⅓ = 100/x

5/2 * 3 = 100/x

15/2 = 100/x ---------------Multiply both sides by x

15/2 * x = 100/x * x

15x/2 = 100 ------------------ Multiply both sides by 2

2 * 15x/2 = 2 * 100

15x = 200 --------------- Divide both sides by 15

x = 200/15

x = 13⅓

So, 13⅓ cups of orange is needed by Priya

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

Diego

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

Cup of water = 1⅔

Cup of orange = ¼

If 1⅔ cups of water requires ¼ cup of orange juice concentrate

Then 100 cups of water would require x cup of orange

Representing the above statement mathematically

1⅔:¼ = 100:x

5/3 : ¼ = 100:x

5/3 ÷¼ = 100 ÷ x

5/3 * 4/1 = 100 ÷ x

20/3 =100/x----------------------- Multiply x to both sides

20/3 * x = 100/x * x

20x/3 = 100 ------------------------ Multiply 3 to sides by 3

3 * 20x/3 = 100 * 3

20x = 300 ------------- Divide both sides by 2

20x/20 = 300/20

x = 15

So, 15 cups of orange is needed by Diego

4 0

4 years ago

Janis and Susan went to a clearance sale at a clothing store. All blouses were selling for the same price and all skirts were se

pentagon [3]

Step-by-step explanation:

Option D is the correct answer

Because if the blouse is of 8 dollars then 4 blouses = 32 and skirt = 12 so 3 skirts = 36

36 + 32 = 68

Susan bought 6 blouses = 8 x 6 = 48

3 skirts = 12 x 3 = 36

48 + 36 = 84

6 0

4 years ago