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alisha [4.7K]
3 years ago
9

On average, water flows over a particular water fall at a rate of 2.08 x 105 cubic feet per second. One cubic foot of water weig

hs 62.4 lb. Calculate the rate of water flow in tons of water per day.
Mathematics
1 answer:
34kurt3 years ago
4 0

Answer:

  5.61×10^8 ton/day

Step-by-step explanation:

  (2.08×10^5 ft³/s)·(8.64×10^4 s/day)·(6.24×10^1 lb/ft³)/(2×10^3 lb/ton)

  = (2.08·8.64·6.24/2)×10^(5+4+1-3) ton/day

  ≈ 56.07×10^7 ton/day

  ≈ 5.61×10^8 ton/day

_____

We have expressed the answer using 3 significant digits, to match the precision of the rate and weight.

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0.0841

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Step-by-step explanation:

Given that:

Percentage of STEM (p) = 27% = 0.27

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Using Normal approximation :

Mean (m) = n*p = 47 * 0.27 = 12.69

Standard deviation (s) = √(n*p*q)

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Standard deviation (s) = √(47*0.27*0.73) = 3.04

a. Exactly 13 of them major in STEM.

P(12.5 < x < 13.5)

USing the z formula :

(x - m) / s

(12.5 - 12.69) / 3.04 < x (13.5 - 12.69) / 3.04

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Using the z probability calculator:

P(Z < - 0.0625) = 0.47508

P(Z < 0.2664) = 0.60503

0.60503 - 0.47508

= 0.12995

b. At most 12 of them major in STEM.

P(X ≤ 12.5)

Zscore = (x - m) / s

Zscore = (12.5 - 12.69) / 3.04

Zscore = −0.0625

P(Z ≤ - 0.0625) = 0.47508

c. At least 9 of them major in STEM.

P(X ≥ 8.5)

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Zscore = (8.5 - 12.69) / 3.04

Zscore = −1.378

P(Z ≤ - 1.378) = 0.0841

d. Between 8 and 15 (including 8 and 15) of them major in STEM.

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P(Z ≤ - 1.378) = 0.084102

0.82226 - 0.084102

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