The coordinate of point S from the giving coordinate point is (-8,4)
<h3>Midpoint of coordinates</h3>
The formula for calculating the midpoint of coordinate point is expressed as:
M(x,y) = {(x₁+x₂)/2, (y₁+y₂)/2}
Determine the measure of the coordinate S
-2 = 4+x₂/2
2(-2) = 4+x₂
x₂ = -4-4
x₂ = -8
Similarly
0 = -4+y₂/2
0(2) = -4+y₂
y₂ = 4
Hence the coordinate of point S from the giving coordinate point is (-8,4)
Learn more on midpoint here: brainly.com/question/5566419
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V = L * W * H
V = (1/2)(1/4)(2/3)
V = (1 * 1 * 2) / (2 * 4 * 3)
V = 2/24 reduces to 1/12 m <===
Answer:
The score that separates the lower 5% of the class from the rest of the class is 55.6.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:

Find the score that separates the lower 5% of the class from the rest of the class.
This score is the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.


The score that separates the lower 5% of the class from the rest of the class is 55.6.
Answer:
The expected number of sales of this store from this sample of 30 is 6.
Step-by-step explanation:
For each prospect, there are only two possible outcomes. Either there is a trade, or there is not. Prospects are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:

A retail variety store that advertises extensively by mail circulars expects a sale with 20% probability.
This means that 
Suppose 30 prospects are randomly selected from a city-wide mailing.
This means that 
What is the expected number (mean) of sales of this store from this sample of 30?

The expected number of sales of this store from this sample of 30 is 6.
Answer:
<u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>
Step-by-step explanation:
Given :
Divide throughout by 3 to simplify :
- 1/3 x (3x² - 24x + 12)
- x² - 8x + 4
Using the Quadratic Formula :
- x = -b ± √b² - 4ac / 2a
- x = -(-8) ± √(-8)² - 4(1)(4) / 2(1)
- x = 8 ± √64 - 16 / 2
- x = 8 ± √48 / 2
- x = 8 ± 4√3 / 2
- x = 4 ± 2√3
Factors are :
- <u>[x - (4 + 2√3)] and [x - (4 - 2√3)]</u>