A preimage includes a line segment with a length of x units and a slope of m units. The preimage is dilated by a scale factor of
2 answers:
Answer:
Slope becomes m
length becomes nx
Step-by-step explanation:
Slope:
We know that
slope is the ratio of change in y-value and change in x-value
so, dilation do not change slope of any line
so, after dilation
m---->m
Length of line:
we know that
A dilation has the effect of stretching or shrinking the line segment by the factor of m units
we are given
length of line =x
so, it's length will become
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Answer:
a)0,45119
b)1
Step-by-step explanation:
For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)
Now the poisson approximation is used
λ=nP=80000*1/133225=0,6
Now, let X be the number of couples that birth April 30
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 0,45119
B) Now want to find the
probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday
Now the poisson approximation is used
λ=nP=80000*52/133225=31.225
Now, let X be the number of couples that birth same day
P(X ≥ 1) =
1 − P(X = 0) =
P(X ≥ 1) = 1
The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars
<em><u>Solution:</u></em>
Given that, Mike earned x dollars the first week of his new job
He earned 5% more the second week than the first week
To find: Total amount earned in both weeks
From given,
Amount earned in first week = "x" dollars
Amount earned in second week = 5 % more than first week
Therefore,
Amount earned in second week = x + 5 % of x
Thus amount earned in second week = 1.05x dollars
<em><u>The total amount earned in both weeks:</u></em>
Total amount = Amount earned in first week + Amount earned in second week
Thus the expression represents the total amount of money Mike earned for both weeks is 2.05x dollars