Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
And the standard deviation of the sample means is given by,
a
The expected value of the sample mean of their weights is same as the population mean, <em>μ</em> = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
The "rule" being described here is nothing more than the input/output of a mathematical function.
For every input 'x' value supplied, you only need to subtract three to it. For every input 'y' value, you only need to add four to it.
Example: I'll use variable 'm' to represent this function. Variable 'p' will represent the current input point.
m(p) = p[x - 3, y + 4] = p[-7 - 3, 0 + 4] = p[-10, 4]. 'p[]" is just the point.
I tried my best hope that help!
Solve your equation step-by-step.
2(x−3)−17=13−3(x+2)
Simplify both sides of the equation.
2(x−3)−17=13−3(x+2)
Simplify
2x−23=−3x+7
Add 3x to both sides.
2x−23+3x=−3x+7+3x
5x−23=7
Add 23 to both sides.
5x−23+23=7+23
5x=30
Divide both sides by 5.
5x/5 = 30/5
x=6
Answer:
true
Step-by-step explanation:
plug in u. u=e
25>= 5x5
25>=25
true
Answer:
82 degrees
Step-by-step explanation:
Measure of arc ABC = 86*2 = 172 degrees.
Measure of arc DC = 360 - (145+172) = 360-317 = 43 degrees.
Measure of arc BCD = 121+43 = 164 degrees.
Measure of angle A = 164/2 = 82 degrees
