Answer:
cosine
Step-by-step explanation:
fundamental trigonometric identities
Answer:
width is 6 ft, length is 24 ft
Step-by-step explanation:
We can set up 2 equations to help us solve this.
Equation 1: "The area is 144 square feet" gives us
LW = 144 (area of a rectangle)
Equation 2: "the width is 1\4 of the length" give us
W = L/4
We can plug the second equation into the first equation...
Since W = L/4, we get
L(L/4) = 144 (W becomes L/4)
Now solve for L
L²/4 = 144
L² = 624 (multiply both sides by 4)
L = 24 ft (take the square root of each side)
Since L = 24, and W = L/4,
W = 24/6, so W = 6 ft
Answer:
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 510
Sample mean, = 502
Sample size, n = 60
Sample standard deviation, s = 30
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and fail to accept it.
We accept the alternate hypothesis and conclude that mean SAT score for Stevens High graduates is not the same as the national average.