Answer:
Step-by-step explanation:
Given
Required
Convert to hours (in fraction)
To do this, we simply divide the time by 60
Divide by 60
Express as mixed numbers
Simplify
Divide by 60
Express as mixed numbers
Simplify
Divide by 60
Express as mixed numbers
Simplify
Divide by 60
Answer:
a. P(1104<X[bar]<1110) = 0.3849
b. P(X[bar]>1116) = 0.1151
c. P(X[bar]<940) = 0
Step-by-step explanation:
Hello!
Your study variable is X: "length of life of a battery" (days)
These batteries have a known lifetime average μ: 1110 days and a standard deviation δ:50 days.
To calculate the probabilities I'll apply the Central Limit Theorem, and since the sample is big enough (n>30), approximate the distribution of the sample mean to normal X[bar]≈N(μ;δ²/n) and use the standardization to the Z-distribution to calculate each probability.
a. The average is between 1104 and 1110
P(1104<X[bar]<1110) = P(X[bar]<1110) - P(X[bar]<1104)
= P(Z<(1110-1110)/(50/√100) - P(Z<(1104-1110)/(50/√100))
=P(Z<0) - P(Z<-1.2) = 0.5 - 0.1151 = 0.3849
b. The average is greater than 1116
P(X[bar]>1116) = 1 - P(X[bar]≤1116) = 1 - P(Z≤(1116-1110)/(50/√100))
=1 - P(Z≤1.2) = 1 - 0.8849 = 0.1151
Since the Z table accumulates from left, this means, the probability values it gives are ), to calculate the values above a certain number, you have to subtract from 1 (the highest possible cumulative probability value) all the cumulative probability that is below that number.
c. The average is less than 940.
P(X[bar]<940) = P(Z<(940-1110)/(50/√100)) = P(Z<-34) = 0
I hope you have a SUPER day!
Answer:
a)
Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:
<u>Find the slope, m:</u>
The value of b is 42000, since at t = 0, V = 42000
<u>So the equation is:</u>
b)
The graph is attached.
When V = 72500, t = 9.6 (approximately)
c)
When V = 74000
d)
When V = 80250
