For this case we have the following expression:
To verify the answer we have:
Multiplying both sides of the equation by -14:
Thus, the answer can be verified with:
Answer:
Answer:
Step-by-step explanation:
Let the number of pastries is x.
<u>We have an inequality:</u>
- 2.80x ≥ 365
- x ≥ 365/2.80
- x ≥ 130.357
The least whole number for x is 131.
Correct choice is D
Archy: 15 gallons ... $23.85
1 gallon ...$ x = ?
x * 15 = 1 * 23.85 /15
x = 23.85 / 15
x = $1.59 per gallon
Joe: 16 gallons ... $24.48
1 gallon ... $ y = ?
y * 16 = 1 * 24.48 /16
y = 24.48 / 16
y = $1.53 per gallon
Result: Joe paid less per gallon.
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:
33.16ft
Step-by-step explanation:
Sin 56° = x / 40ft
0.829 = x / 40ft
x = 40ft * 0.829
x = 33.16ft
