Answer:
We reject H₀. We accept Hₐ (the cream can improve the the skin of more than 50%
Step-by-step explanation:
We have a proportion one tail test (right)
P₀ = 50 % = 0,5
P = 44/53 = 0.831
sample size = n = 53
Confidence interval = 0,95 α = 0.05 then z(c) = 1.64
1.-Hypothesis
H₀ null hypothesis P₀ = 0.5
Hₐ alternative hypothesis P₀ > 0.5
2.-Compute z(s)
z(s) = ( P - P₀ ) / √P₀Q₀/n ⇒ z(s) = (0.831 - 0.5 )/√0.5*0.5/53
z(s) = 0.3301/0.06
z(s) = 5.5
3.-Compare z(c) and z(s)
z(s) > z(c) 5.5 > 1.64
therefore z(s) is in the rejection region we reject H₀ . And accept Hₐ
I did 150 divided by 4 and I got 37.5 I think I'm using the right math lol
It is 1. 2 and 3 are base angles.
Answer:
(4.2 units)
Step-by-step explanation:
By inspection of the illustration we can see that leg DE has length 3 and that leg DF also has length 3. By the Pythagorean Theorem, 3^2 + 3^2 = 2(3^2); thus, the length of the hypotenuse EF is 3√2, or approximately 4.24 units. The third answer choice (4.2 units) is the correct one.