Answer:
3
4
5
9
2
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor
step 1
Find the length of segment BC
the formula to calculate the distance between two points is equal to
we have the points
B(1,-3),C(-3,-3)
substitute the values
The segment B''C'' is equal to the segment BC multiplied by the scale factor
The scale factor is 3
so
substitute
The answer is one because...
3+10÷5-4
3+2−4
5−4=1
The probability that x is between 420 and 460 is 0.25778
The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances.
so, the mean would be,
μ = 100 + 150 + 200
μ = 450
and standard deviation would be,
σ = 15+ 20 + 25
σ = 60
We need to find the probability that x is between 420 and 460.
P(420 < x < 460)
= P( 420 - μ < x - μ < 460 - μ)
= P((420 - μ)/σ < (x - μ)/σ < (460 - μ)/σ)
= P((420 - 450)/60 < Z < (460 - 450)/60)
= P (-1/2 < Z < 1/6)
= P(-0.5<x<0.167)
= 0.25778
Therefore, the probability is P(420 < x < 460) = 0.25778
Learn more about the probability here:
brainly.com/question/11234923
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