Answer:
<u>200 additional gallons of water are used when 40 people take a bath instead of a shower</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of water used when we take a bath = 20 gallons
Amount of water used when we take a shower = 15 gallons
Number of people who wants to take a bath = 40
2. How much extra water is used?
Extra water is used = Number of people * (Amount of water used when we take a bath - Amount of water used when we take a shower)
Replacing with the real values, we have:
Extra water is used = 40 * (20 - 15)
Extra water is used = 40 * 5 = 200 gallons
Answer: 43.4
Step-by-step explanation: if it was dilated by a bigger number than 1 then it’s goin to have a bigger area and in this case it was dilated by
4 2/3 so you multiply the area by 4 2/3 to round your answer to the nearest tenth and u get 43.4
Answer:
D) Neither X nor Y can be well approximated by a normal random variable.
Step-by-step explanation:
X = number of males (out of the 20) who are colorblind.
Y = number of females (out of the 40) who are colorblind.
Z = total number of colorblind individuals in the sample (males and females together).
The condition to use the normal approximation is that np > 5 and nq > 5
For X:
n = 20, p = 8% = 0.08,
q = 1 - 0.08 = 0.92
np = 20 * 0.08
np = 1.6 ( np < 5)
np = 20 * 0.92
np = 18.4 ( nq > 5)
For Y:
n = 40, p = 1% = 0.01,
q = 1 - 0.01 = 0.99
np = 40 * 0.01
np = 0.4 ( np < 5)
np = 40 * 0.99
np = 39.6 ( nq > 5)
For both X and Y, np < 5 and nq > 5. Since both np and nq are not greater than 5, both samples cannot be approximated by a normal distribution.