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Arte-miy333 [17]
2 years ago
6

PLEASE HURRY WILL GIVE BRAINLIEST

Mathematics
1 answer:
Alex777 [14]2 years ago
7 0

Answer:

cos-1 (6.3/9.8).

sin-1(7.5/9.8).

Step-by-step explanation:

cos < ABC  = 6.3/9.8.

sin < ABC = 7.5/9.8.

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A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of
GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.989.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0
3 years ago
Complete the graduated commission problem: You earn 20%
guajiro [1.7K]

Answer: I'll give you both the percentage and dollar amount. 75% = $144

Step-by-step explanation: first, I added up all the percentages to total 75%. then I took the total sales, and divided that by .75 (75% in decimal form), so:

1940 x .75 = 1455

1940 - 1455 = 144

3 0
2 years ago
Megan purchased 5 square yards of flooring for a total of $270. What was the price of this flooring per square foot?
grin007 [14]

Answer:

$18 per square foot.

Step-by-step explanation:

First there are 3 feet in a yard. So if she purchased 5 square yards there would be 3 times as many square feet soo.

5*3= 15

So there were 15 square feet in the 5 square yards.

Now just divide 270/15 = 18

$18 per square foot.

Hope this helpsss!

5 0
2 years ago
Please help me I’m so confused
kodGreya [7K]

Answer:

It is 0.30 or in words, 30 hundredth.

Step-by-step explanation:

5 0
3 years ago
8th grade geometry part 3, please explain the steps :)))
Illusion [34]

Answer: Volume = 97.6

Step-by-step explanation:

Volume of the cone first

V = 1/3 h π r²

<u>h = 0.7</u>

<u>r = 2</u>

V = 1/3 × 0.7 × 2² × 3.14

V = 1/3 × 0.7 × 4 × 3.14

V = 1/3 × 8.792

V = 2.93

Then find the volume of the cylinder if the cone was there.

V = π r² h

<u>r = 2</u>

<u>h = 8 </u>

V = 3.14 × 2² × 8

V = 3.14 × 4 × 8

V = 3.14 × 32

V = 100.48

Now you subtract the volume of the cone from the cylinder.

100.48 - 2.93 = 97.55

Rounded to the nearest tenth is 97.6

Hope this was helpful, I know it is a lot to look at but I tried my best.

Also, can I get brainliest? I worked really hard on this.

7 0
1 year ago
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