Answer: the probability that a randomly selected value is greater than 161.9 is 0.977
Step-by-step explanation:
Since the distribution of values is normal, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = randomly selected values.
µ = mean value
σ = standard deviation
From the information given,
µ = 165.6
σ = 18.7
We want to find the probability that a randomly selected value is greater than 161.9.. It is expressed as
P(x > 161.9) = 1 - P(x ≤ 161.9)
For x = 161.9
z = (161.9 - 165.6)/18.7 = - 0.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
P(x > 161.9) = 1 - 0.023 = 0.977
Answer:
2
Step-by-step explanation:
1/6 x 12 = 2
2/3 x 12 = 8
8 + 2 = 10
12 - 10 = 2
Answer:
8x + 13
Step-by-step explanation:
"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .
9+4 is 13 just like elementary school.
So all together,
6x + 9 + 2x + 4
6x + 2x + 9 + 4
8x + 13
We can rearrange the terms because the problem has all addition in between the terms.
Answer:
b. (1, 3, -2)
Step-by-step explanation:
A graphing calculator or scientific calculator can solve this system of equations for you, or you can use any of the usual methods: elimination, substitution, matrix methods, Cramer's rule.
It can also work well to try the offered choices in the given equations. Sometimes, it can work best to choose an equation other than the first one for this. The last equation here seems a good one for eliminating bad answers:
a: -1 -5(1) +2(-4) = -14 ≠ -18
b: 1 -5(3) +2(-2) = -18 . . . . potential choice
c: 3 -5(8) +2(1) = -35 ≠ -18
d: 2 -5(-3) +2(0) = 17 ≠ -18
This shows choice B as the only viable option. Further checking can be done to make sure that solution works in the other equations:
2(1) +(3) -3(-2) = 11 . . . . choice B works in equation 1
-(1) +2(3) +4(-2) = -3 . . . choice B works in equation 2
Answer:
50,10
Step-by-step explanation:
poit c is half way on both x axis and y axis
