Answer:
The volume in terms of π is 144 ft³
The volume rounded to the nearest tenth is 452.4 ft³
Step-by-step explanation:
The formula of the volume of a cone is V = π r² h , where r is its radius and h is its height
The formula of the area of a circle is A = π r²
The area of the base of the cone is 36π ft²
Equate the formula of the area of the circle by 36π to find r
πr² = 36π
Divide both sides by π
r² = 36
Take √ to both sides
r = 6 ft
The height of the cone is equal to twice the radius
The radius of the cone is 6 ft
Multiply 6 by 2 to find the height
h = 2(6) = 12 ft
The height of the cone is 12 ft
Subsitute the values of h and r in the formula of the volume of the cone to find it
V = π(6)²(12)
V = 144 π ft³
V = 452.3893421 ft³
Round it to the nearest tenth
V = 452.4 ft³
To find one half of three fourths, multiply the fractions. 1/2 x 3/4. You would get 3/8. I hope this helps!
Answer: p-value of the test = 0.167
Step-by-step explanation:
Given that,
sample size n = 400
sample success X = 80
confidence = 95%
significance level = 1 - (95/100) = 0.05
This is the left tailed test .
The null and alternative hypothesis is
H₀ : p = 0.22
Hₐ : p < 0.22
P = x/n = 80/400 = 0.2
Standard deviation of proportion α = √{ (p ( 1 - p ) / n }
α = √ { ( 0.22 ( 1 - 0.22 ) / 400 }
α = √ { 0.1716 / 400 }
α = √0.000429
α = 0.0207
Test statistic
z = (p - p₀) / α
z = ( 0.2 - 0.22 ) / 0.0207
z = - 0.02 / 0.0207
z = - 0.9661
fail to reject null hypothesis.
P-value Approach
P-value = 0.167
As P-value >= 0.05, fail to reject null hypothesis.
Since test is left tailed so p-value of the test is 0.167. Since p-value is greater than 0.05 so we fail to reject the null hypothesis.
Answer:
25
Step-by-step explanation:
20/4 = 5. 5 x 5 = 25
Answer:
D. y = 4x + 9
Step-by-step explanation:
a line that passes through the point (-2, 1) and has a slope of 4
y = 4x + b
b = y - 4x
b = 1 - 4(-2)
b = 1 + 8
b = 9
So equation
y = 4x + 9
