The expected value for the game would be the first one negative three
Length (L): w + 3.5
width (w): w
Perimeter (P) = 2L + 2w
31 = 2(w + 3.5) + 2(w)
31 = 2w + 7 + 2w
31 = 4w + 7
24 = 4w
6 = w
Length (L): w + 3.5 = (6) + 3.5 = 9.5
Answer: width = 6 inches, length = 9.5 inches
Answer:
a) reject H0
Step-by-step explanation:
The null and alternative hypotheses:
H0: the relative risk for moderate beer drinkers as compared to nondrinkers = 1
Ha: the relative risk for moderate beer drinkers as compared to nondrinkers ≠ 1
The level of significance, α = 0.1
Since the confidence interval for the relative risk of hypertension in moderate beer drinkers as compared to nondrinkers (0.47 to 0.90) does not contain the relative risk of 1, the null hypothesis will be rejected at the specified level of significance, 0.1. Therefore, the conclusion is to reject H0.
see attachment
if you move the whole triangle up 4 units and to the left 3 units without rotating or dialating it, then each point should move up 4 units and 3 units to the left
find the distance between the first point and the translated point
if we draw out the path, we can see that the path makes 2 legs of a right triangle. the distance between the start and end is the hypotonuse
the 2 legs are length 3 and 4
by the pythagorean theorem, d²=3²+4²
d²=9+16
d²=25
d=5
so the distance between any 2 points on the original triangle and the translated triangle is 5 units
