Answer:
lyrics d - 1.782
Step-by-step explanation:
Assume Normal Distribution
we have μ₀ = 40 (from Dullco claims)
And from sample μ = 37.8 and standard deviation of 5.4
random sample n = 18
We have to use t-student for testing the hypothesis
and we have a one tail test (left) since Dullco claims : " at least" meaning (always bigger or at least ) not different.
Then
t (s) =( μ - μ₀) / (σ/√n) ⇒ t (s) = [(37.8 - 40 )* √18 ]/5.4
t (s) = - 1.7284
Probability that Kevin has diabetes = 0.75, probability that test correctly sees this = 0.85, probability of both = 0.75*0.85 = 0.6375.
Probability that test doesn't see Kevin's diabetes = 0.75*0.15 = 0.1125
Probability that Kevin doesn't have diabetes = 0.25, probability that test correctly sees this = 0.85, probability of both = 0.25*0.85 = 0.2125
Probability that test mistakenly thinks Kevin has diabetes = 0.25*0.15 = 0.0375
In summary: 0.0375 - 4th choice0.6375 - 1st choice
0.1125 - 2nd choice
0.2125 - 3rd choice
Linda should use ...
15 gallons of 80% juice
5 gallons of 60% juice
_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
0.80g +0.60(20 -g) = 0.75×20
0.20g = 20(0.75 -0.60) = 20×0.15
g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
Answer:
The answer is 4 cm
Step-by-step explanation:
As we can see, the original triangle has a side length of 5 cm and 10 cm. Therefore, we can assume this ratio of 1:2 stays the same with the smaller triangle, making the answer 4 cm.
Answer:
-5
Step-by-step explanation:
11-16=-5