Figure 4 is the image of the square LMNP after the translation.
<u>Step-by-step explanation:</u>
Let us see the coordinates of the pre image LMNP as,
L (-3,1)
M(-1,1)
N(-1,-1)
P(-3,-1)
after translation of (x,y) → (x+5, y -3) the coordinates of the image obtained as,
L'(2,-2)
M'(4,-2)
N'(4,-4)
P'(2,-4) which matches the image 4.
The variance of the binomial distribution of the number of households with landline service is 2.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The variance of the distribution is given by:
V(X) = np(1 - p)
In this problem, the parameters are given as follows:
n = 8, p = 0.504.
Hence the variance is given by:
V(X) = 8 x 0.504 x 0.496 = 2.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
PR = 16
SR = 12
Step-by-step explanation:
6/8 = (x-3)/(x+1)
8x-24 = 6x+6
simplify
2x = 30
x = 15
PR = 15 + 1 = 16
SR = 15 - 3 = 12
Answer: Cluster Sampling
Step-by-step explanation: Sampling is the process of collecting a representative of a particular Population of persons, activities, materials etc in order to use them for an experiment or research. Sampling can be done in different ways which include Cluster Sampling, random Sampling, stratified Sampling etc.
The activities of the Pollster using a random number to choose the residents of a given location is a Sampling method by Clustering.
Cluster Sampling is the process of identifying the cluster of participants representing the population and their inclusion in the sample group.
Step-by-step explanation:
most likely be drawn: blue
pulling orange: 3/10
pulling red: 2/10 or 1/5
pulling purple: 1/10
pulling white: 0
