Answer:
Step-by-step explanation:
The null and alternative hypothesis are usually used in hypothesis testing to present the claim being tested as give in terms of the mean or proportion :
Given that the mean score of high school students is 10 ; using a sample of 50 students, a mean of 8 was obtained ; we could want to test the claim that the mean score is less than 10.
Here; population mean, μ = 10 ; the claim is now that, μ < 10 based on what was observed about the sample.
H0 : μ = 10
H0 : μ < 10
If we wanted to test If the mean was greater than 10 ; then the sign is reversed
H0 : μ = 10
H0 : μ > 10
If we wanted to test If the score is just different from the mean score stated ; (it may be less than or greater than)
H0 : μ = 10
H0 : μ ≠ 10
now let's recall that a full circle has 360°, so then 1140 = 360 + 360 + 360 + 60.
namely, 1140 is 3 full-go-around the circle and then it lands on the I Quadrant at 60°. Thus cos(1140°) = cos(60°).
what's that cosine of 60°? Check the picture below.
5(x²+x-2x-2)
5(x²-x-2)
5x²-5x-10
you can also simplify to x²-x-2.
Assuming that this is a right triangle, then (50 in)^2 = b^2 + (14 in)^2, according to the Pythagorean Theorem.
Then 196 in^2 + b^2 = 2500 in^2. Solving for b^2:
b^2 = (2500-196) in^2, and so b = +48 inches (answer)
Answer:

Step-by-step explanation:
Step 1: Given equation: 
To get u, by subtraction equality property subtract both sides of the equation by
.
Step 2: By division equality property, divide both sides of the equation by t.

Therefore,
.
So, in Emily’s physics class, she got
.