It should be B. The dash-line triangle is half the size of the solid-lined triangle. You can find the scale factor by finding the ratio between the side lengths of the two triangles. The scale factor in this case is 2 because you are reducing thr solid-lined triangle by one half. If you are reducing by a fraction, it means that you are enlarging be the reciprical of the fraction. As reducing implies division and dividing a fraction is equivalent to multiplying by the reciprical. Thus the correct answer is B.
Answer:
0.34134
Step-by-step explanation:
in other to solve for this question we would be using the z score formula
z = (x - μ) / σ
x = raw score
μ = mean
σ = standard deviation
the question tells us to find the probability that a worker selected at random makes between $350 and $400
let x1 = 350 and x2= 400 with the mean μ = 400 and standard deviation σ = $50.
z1 = (x1 - μ) / σ = (350-400) / 50 = -1
z2 = (x2 - μ) / σ = (400 - 400) / 50 = (0/50) = 0
from tables, P(z <= -1) = 0.15866
P(z <= 0) = 0.5
then the probability would give us, P(-1 ≤ z ≤ 0) =0.5 - 0.15866 =
0.34134
that explains that the probability that a worker selected at random makes between $350 and $400 = 0.34134
Answer:
20
Step-by-step explanation:
Plugin x = 10 and y = 5 in the expression.
x + 2y = 10 + 2*5
= 10 + 10
= 20
Answer: x = 1 , y = 5
Step-by-step explanation:
9514 1404 393
Answer:
5 seconds
Step-by-step explanation:
You want the positive value of x when y = 0.
0 = -18x² +90x
0 = -18(x)(x -5) . . . . . factor
x = 0 or 5 . . . . . values that make the factors zero
The ball will return to the ground after 5 seconds.