Answer:
47
Step-by-step explanation:
add all the numbers and divide them by however many numbers there are.
The answer is 2,713 in³
The volume (V) of the prop is the sum of the volume of cone (V1) and half of the volume of the sphere (V2): V = V1 + 1/2 * V2
Volume of the cone is:
V1 = π r² h / 3
According to the image,
h = 14 in
r = 9 in
and
π = 3.14
V1 = 3.14 * 9² * 14 / 3 = 1,186.92 in³
The volume of the sphere is:
V2 = π r³ * 4/3
According to the image,
r = 9 in
and
π = 3.14
V2 = 3.14 * 9³ * 4/3 = 3,052.08 in³
The volume of the prop is:
V = V1 + 1/2 * V2
V = 1,186.92 in³ + 1/2 * 3,052.08 in³
V = 1,186.92 in³ + 1,526.04 in³
V = 2,712.96 in³ ≈ 2,713 in³
Answer:
x = 7
Step-by-step explanation:
Let x = the number. Then
"Triple a number" means 3x
"is the same as" means =
"double the number increased by 5" means 2x + 7
∴ 3x = 2x + 7
Subtract 2x from each side
x = 7
The answer is x = 7.
Check:
3 × 7 = 2 × 7 + 7
21 = 14 + 7
21 = 21
OK.
Answer:
About 786 would be expected to yield more than 180 bushels of corn per acre
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
17.9/2.38
= 7.5.
Hope this helps & good luck. :)
