A) maximum mean weight of passengers = <span>load limit ÷ number of passengers
</span><span>
maximum mean weight of passengers = 3750 </span>÷ 25 = <span>150lb
</span>B) First, find the z-score:
z = (value - mean) / stdev
= (150 - 199) / 41
= -1.20
We need to find P(z > -1.20) = 1 - P(z < -1.20)
Now, look at a standard normal table to find <span>P(z < -1.20) = 0.11507, therefore:
</span>P(z > -1.20) = 1 - <span>0.11507 = 0.8849
Hence, <span>the probability that the mean weight of 25 randomly selected skiers exceeds 150lb is about 88.5%</span> </span>
C) With only 20 passengers, the new maximum mean weight of passengers = 3750 ÷ 20 = <span>187.5lb
Let's repeat the steps of point B)
z = (187.5 - 199) / 41
= -0.29
P(z > -0.29) = 1 - P(z < -0.29) = 1 - 0.3859 = 0.6141
</span>Hence, <span>the probability that the mean weight of 20 randomly selected skiers exceeds 187.5lb is about 61.4%
D) The mean weight of skiers is 199lb, therefore:
number</span> of passengers = <span>load limit ÷ <span>mean weight of passengers
= 3750 </span></span><span>÷ 199
= 18.8
The new capacity of 20 skiers is safer than 25 skiers, but we cannot consider it safe enough, since the maximum capacity should be of 18 skiers.</span>
Answer:
y = -5/2x + 10
Step-by-step explanation:
Step one: Add -5x to both sides.
5x + 2y + -5x = 20 + -5x
2y = -5x + 20
Step two: Divide both sides by two.
2y/2 = -5x + 20/ 2
y = -5/2x + 10
Hope my answer help.
Answer:
80.80
Step-by-step explanation:
3394/42 simplified would be 1697/21
as a mixed form it would be 80 and 17/21
As a decimal, 80.809...
Hope this helps :)
The answer would be: 29.3333ounces
First, you need to convert pounds to ounces.
16 ounces= 1 pound
5*16= 80
Now add the 8 ounces to get 88 ounces
Then divide 88 by 3.
Then you are left with your answer: 29.3333ounces
Hope this helps! :3
