Answer:
0.3162 = 31.62% probability that a baseball pitch is thrown with no strikes
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that:
Desired outcomes:
Pitches thrown with no strikes.
There were 1166 pitches thrown with no strikes, so
Total outcomes:
All pitches.
3688 pitches were thrown, so
Probability:
0.3162 = 31.62% probability that a baseball pitch is thrown with no strikes
Given the ratio, you know that:
length = 6x
width = 2x
height = 7x
Because the sum of the length and the width is 24 cm, you can write the equation:
6x + 2x = 24
Solve:
8x = 24
x = 3
Plug the 3 back into the expressions written earlier for length, width, and height.
length = 18 cm
width = 6 cm
height = 21 cm
Use the formula SA = 2B + Ph to solve for the surface area.
Surface Area = 2(area of the base) + (perimeter of the base)(height)
I'm going to plug in l, w, and h as variables for length, width, and height to show the exact way to solve for the B and P.
SA = 2lw + 2(l + w)h
SA = 2(18)(6) + 2(18 + 6)(21)
SA = 216 + 2(24)(21)
SA = 216 + 1008
SA = 1224
The surface area is 1,224 cm^2.
Answer:
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Step-by-step explanation: