Answer: 28 1/4 cup of butter
28 tsp almond extract
1/2 cup sugar
Step-by-step explanation:
Step-by-step explanation:
y2 = y , x2 = 5
y1 = 2 , x1 = 3
-4 = y-2 ==> y = -2
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:
There isn't a figure. But Acute angles are less than 90 degrees(they're small than an L). Remember it by saying "cute" things are small so acute
Step-by-step explanation:
Answer:
Step-by-step explanation:
- (18u^2 - 142u - 11) ÷ (u - 8)
- 18u^2 - 142u - 11 =
- 18u^2 - 8*18u + 2u - 11 =
- 18u(u - 8) + 2u - 16 + 5 =
- 18u(u - 8) + 2(u - 8) + 5 =
- (18u + 2)(u - 8) + 5
- (18u^2 - 142u - 11) ÷ (u - 8) = 18u + 2 + 5/(u - 8)
