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3 years ago

10

The table below shows the typical hours worked by employees at a company. A salaried employee makes $67,000 per year. Hourly emp

loyees get paid $25 per hour, but get $37.50 per hour for each hour over 40 hours.
Sun.
Mon.
Tues.
Wed.
Thurs.
Fri.
Sat.
0
10
8
8
7
6.5
4.5

Which of the payment options would you recommend to a new employee?

1 answer:

ikadub [295]3 years ago

6 0

Answer:

n k

Step-by-step explanation:

jb

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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i

Scorpion4ik [409]

Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) he uses a previous estimate of 25%?

we need a sample of size at least n.

n is found when $M = 0.02, \pi = 0.25$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.25*0.75}}{0.02})^{2}$

$n = 3108.1$

We need a sample size of at least 3109.

(b) he does not use any prior estimates?

When we do not use any prior estimate, we use $\pi = 0.5$

So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{2.575\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 4144.1$

Rounding up

We need a sample size of at least 4145.

8 0

3 years ago

Which of the following proportions could be used to convert 6 days to hours?

nekit [7.7K]

Answer:

Step-by-step explanation:

24 hours---------->1 day

x hours------------>6 days

Cross multiplying:

x=24x6

x=144 hrs

4 0

3 years ago

Show Work<br><br> Find the slope (5,-3), (-7,0)

Alex777 [14]

You'd use the equation y2-y1/x2-x1

0-(-3)/-7-5 = 3/-12 = -1/4

So -1/4 would be the slope
m= -1/4

4 0

4 years ago

Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las

AURORKA [14]

Let ticket be x and meal be y

So $0.50 for each movie ticket = 0.50x

$2 for each meal = 2y

He purchased 22 tickets, so x = 22

0.50 * 22 = $ 11

Now the total value is $25 (with both ticket and meal)

total = t

0.50x + 2y = t

you know x = 22 and t = 25

11 + 2y = 25

Part A)

2y = 25 -11

y = 14/2

y = 7

Number of meal is 7

Part B)

(don't know about part B)

0.50x + 2y = 25

0.50(22) + 2(7) = 25

11 + 14 = 25

25 = 25

7 0

3 years ago

Amie has 9 cats. each cat eats 1/3 can of food each day. how many cans of food are used each day?

Basile [38]

Answer:

3 Cans.

Step-by-step explanation:

Each cat can take one portion. so

9 ÷ 3 = 3

3 cans a day

3 0

3 years ago