Answer:
x = 2sqrt(5)
Step-by-step explanation:
We can use the Pythagorean theorem to solve
The legs are x and 8/2 =4
and the hypotenuse is 6
a^2 + b^2 = c^2
x^2 +4^2 = 6^2
x^2 +16 = 36
Subtract 16 from each side
x^2 +16-16=36-16
x^2 = 20
Take the square root of each side
sqrt(x^2) = sqrt(20)
x = sqrt(4*5)
x = sqrt(4) sqrt(5)
x = 2sqrt(5)
Answer: (15.47, 24.53)
Step-by-step explanation:
We know that the confidence interval for population mean is given by :_

, where n= sample size.
= standard deviation.
= sample mean.
z*= Critical value.
Given : n= 450


Critical value for 95% confidence = z*=1.96 [From z-value table]
Then, the 95% confidence interval will be :-




Hence, the 95% confidence interval for the mean change in score μ μ in the population of all high school seniors. : (15.47, 24.53)
Answer:
523.333 cubic yards
Step-by-step explanation:
The formula for the volume of a sphere is
where
is the radius.
The radius of the given sphere is
yards and
.
Therefore, we can substitute in the radius and solve:
cubic yards
Answer:
C) a type of drug used to cure, prevent, or treat illness or discomfort.
8.54. The last number is low so it can not round up to 5