The Pythagorean identity is
sin²Ф + cos²Ф=1
or
sin²Ф= 1- cos²Ф
Now in the problem we are given that
cos Ф=3/5
Now to find sin Ф, we can plug the value of cos Ф in the identity
So
sin²Ф= 1- cos²Ф = 1-(3/5)² = 1- 9/25 = (25-9)/25 = 16/25
Sin²Ф= 16/25
take square root on both sides
Now when we take square root on both sides we have to always remember that we will get one positive and one negative answer
So
Sin Ф = 4/5 or -4/5
Answer:
The answer is x<4
But the girl over me just did it for points
Answer:
Step-by-step explanation:
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 108, and the sample standard deviation, s, is found to be 10. (a) Construct a 96% confidence interval about μ if the sample size, n, is 17. (b) Construct a 96% confidence interval about μ if the sample size, n, is 12. (c) Construct a 90% confidence interval about μ if the sample size, n, is 17. (d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?
Answer:
The length is 18 and the width is 16
Step-by-step explanation:
The sides of the rectangle are
Width: x-2
Length: x
To find the perimeter get all 4 sides and add them all up
x-2+x-2+x+x=68
4x-4=68
x=18
The length is 18 and the width is 16
:)