Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
Let X the random variable of interest for a population. We know from the problem that the distribution for the random variable X is given by:
We take a sample of n=64 . That represent the sample size.
The sample mean is defined as:
And if we find the expected value and variance for the sample mean we got:
Var(\bar X) = \frac{\sigma^2}{n}[/tex]
The distribution for the sample mean is given by:
Answer:
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Step-by-step explanation:
.174 is greater than .147
Answer:
A = 20,000(1.05)^x
Step-by-step explanation:
To get the approximate value of the house after x years, we will use the compound interest formula
A = P(1+r)^n
P is the principal = $20,000 (cost of house)
r is the rate = 5% = 0.05
x is the time
Substitute into the expressio
A = 20,000(1+0.05)^x
A = 20,000(1.05)^x
Hence the required expression is A = 20,000(1.05)^x
Answer:
The correct option is C. 9
Step-by-step explanation:
From the graphs shown in the attached file we can see that the maximum number of shoes bought were of size 9. On both days the number of size 9 shoes bought was 5 which was the highest number of shoes bought for any size shoe. Therefore since size 9 sell the most on both days the owner should stock most of size 9 shoes in the store's inventory.
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
