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alukav5142 [94]
3 years ago
10

Can you solve this? 1+cot^2θ=csc^2θ

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0
The equation above is a "pythagorean identity", and therefore, the left-side is indeed equal to the right-side.

what are the values of θ that make the equation true?  well, all possible angles.
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Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small com
Rasek [7]

Answer:

a) The 95% confidence interval for the mean summer weight (including carry-on luggage) of Frontier Airlines passengers is between 179 and 187 pounds. This means that we are 95% sure that the mean summer weight of all Frontier Airlines passengers is between these two values.

b)

The 95% confidence interval for the mean winter weight (including carry-on luggage) of Frontier Airlines passengers is between 185.4 pounds and 194.6 pounds. This means that we are 95% sure that the mean winter weight of all Frontier Airlines passengers is between these two values.

c) They are respected, as the upper bound of both intervals is below the new FAA recommendations.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve these questions.

Question a:

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 = 100 - 1 = 99

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.9842

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.9842\frac{20}{\sqrt{100}} = 4

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 183 - 4 = 179 pounds.

The upper end of the interval is the sample mean added to M. So it is 183 + 4 = 187 pounds.

The 95% confidence interval for the mean summer weight (including carry-on luggage) of Frontier Airlines passengers is between 179 and 187 pounds. This means that we are 95% sure that the mean summer weight of all Frontier Airlines passengers is between these two values.

Question b:

Critical value is the same(same sample size and confidence level).

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.9842\frac{23}{\sqrt{100}} = 4.6

The lower end of the interval is the sample mean subtracted by M. So it is 190 - 4.6 = 185.4 pounds.

The upper end of the interval is the sample mean added to M. So it is 190 + 4.6 = 194.6 pounds.

The 95% confidence interval for the mean winter weight (including carry-on luggage) of Frontier Airlines passengers is between 185.4 pounds and 194.6 pounds. This means that we are 95% sure that the mean winter weight of all Frontier Airlines passengers is between these two values.

c. The new FAA recommendations are 190 pounds for summer and 195 pounds for winter. Comment on these recommendations in light of the confidence interval estimates from Parts (a) and (b).

They are respected, as the upper bound of both intervals is below the new FAA recommendations.

7 0
3 years ago
It's URGENT PLEASE HELP!!! what is 5x-2=6 x=??
galben [10]
Answer: x = 8/5
Explanation:
5x-2 = 6
5x = 6 + 2
5x = 8
x = 8/5
8 0
3 years ago
Read 2 more answers
What is the sequence for 6,12,18,24
scoundrel [369]

Answer:

an =6n

Step-by-step explanation:

6,     12,      18,     24

Take the 2nd number minus the first number,  3rd minus the second, etc

12-6  =6

18-12 = 6

24-18 =6

The common difference is 6

The formula for an arithmetic sequence is

an =a1+d(n-1)

 where a1 is the first term

  d is the common difference

 n is the term number

an = 6+6(n-1)

 Distributing

     = 6+6n-6

     = 6n

7 0
3 years ago
What is 2 and 5/14 divided by (2 and 5/8 times 1 and 3/7)?
Lina20 [59]
(2 5/14) / (2 5/8 * 1 3/7)....turn them all into improper fractions
(33/14) / (21/8 * 10/7)
(33/14) / (105/28)...when dividing fractions, flip what u r dividing by, then multiply
33/14 * 28/105 = 132/210 reduces to 22/35 <==
3 0
3 years ago
Express 3/5 as a percent
Mama L [17]

Answer: 60%

Step-by-step explanation:

3/5 times 20 = 60/100

8 0
3 years ago
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