Can someone please help I will give you 30 points and brainliest if the answer is right also no links please
1 answer:
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Answer:
a) 68 % will lie between 30 and 44 ounces
b) between 23 and 44 ounces will lie 81,5 %
Step-by-step explanation: See Annex
a) Normal Distribution N ( 37, 7)
The Empirical Rule establishes that 68 % of values will be at
μ ± 1 σ where μ is the mean and σ the standard deviation
Then: 37 - 7 = 30 and 37 + 7 = 44
68 % of the values will lie between 30 and 44 ounces
b) And between 23 and 44 we should find:
We have 95 % of values between
μ ± 2*σ
In our case to the left of the value (mean 0 ) and up to the value 23 we get 95/2 = 47,5 % and to the right of the value (mean 0 ) and up to 44 we half 68/2 = 34 %
Then between 23 and 44, we have 47,5 + 34 = 81,5 %
Answer:
D) y = 10 - 0.05x
Step-by-step explanation:
The number of gallons of gas left in the tank of Anna's car can be represented using a linear function in the form
where
x is the number of miles driven
q is the amount of gallons initially in the tank, when x = 0
m is the number of gallons consumed per mile driven
First of all, we observe that:
- The sign of m must be negative, because as the car drives, the number of gallons left in the tank (y) must decrease. Therefore, we can immediately exclude option C)
- The problem says that the car has a small tank. Therefore, the number of gallons in the tank at the beginning must be the minimum possible, so in this case, q = 10
Therefore, the correct function is:
y = 10 - 0.05x
which means that: at the beginning, the tank contains 10 gallons, and 0.05 gallons per mile are consumed as the car moves.