Answer:
18 in
Step-by-step explanation:
First you would multiply 2·5=10 then for the area of the bottom shape you already have 4 for one side to get the other side you subtract 7-5 and get 2 so 4·2=8 so then add the areas of both shapes and get 18
Answer:
y = -1/3x + 4
Step-by-step explanation:
y = 3x +5
current slope m is 3, perpendicular is opposite inverse which is -1/3
Passing through (6,2):
y = mx + b
2 = -1/3(6) + b
2 = -2 + b
b = 4
Use the perpendicular m = -1/3 and b = 4 to form equation of line:
y = mx + b
y = -1/3x + 4
It’s 6x6=36, because if 4 over 2 was 4 twice then 6 over 2 is 6 twice.
Answer:
SA = 402.14 square inches
Step-by-step explanation:
Imagine you unroll the cylinder. You will be left with a rectangle and two "lids" (disks).
The rectangular area will be of dimension:
Ar = (height)*(circumference of the disk)
Ar = (12 in) * (8 in) *pi = 301.60 in^2
The area of one disk will be
Ad = pi*(radius^2) = pi*(4^2 in^2) = 50.27 in^2
So the total surface area will be
SA = Ar + 2* Ad = 402.14 in^2 (square inches)
Answer:
We don´t have at 95% of confidence, evidence to reject the publisher´s claim
Step-by-step explanation:
Population mean p₀ = 58 % or p₀ = 0,58
Hypothesis Test:
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Hₐ p < p₀
For a significance level α = 0,05 means that CI = 95 % or CI = 0,95
z(c) = - 1,64
MOE = z(c)* √(p*q)/n
p - p₀ / √(p*q)/n = z(s)
And that z(s) is in the acceptance region
|z(s)| < |z(c)|
|z(s)| < 1,64
Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim