Answer:
30
Step-by-step explanation:
Set up the proportion y=kx k equals y over x
y=2x
y=30 if x is 15
Step-by-step explanation:
a. First, find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 12.5
z = 0.48
Use a calculator or table to find the probability.
P(z < 0.48) = 0.6844
b. Find the standard deviation of the sample.
σₓ = σ / √n
σₓ = 12.5 / √4
σₓ = 6.25
Find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 6.25
z = 0.96
Use a calculator or table to find the probability.
P(z < 0.96) = 0.8315
c. When the distribution of the population is normal, then the distribution of the sample mean is also normal.
Answer:
B) ∠B ≅ ∠K
Step-by-step explanation:
The Angle-Angle-Side Postulate (AAS) states that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Given that ∠A ≅ ∠J and AC ≅ JL, then we need that ∠B ≅ ∠K to satisfy postulate AAS (the two angles are ∠A and ∠B in one triangle and ∠K and ∠J in the other one, and the non-included side is AC in one triangle and JL in the other one).
The number of trucks needed is an illustration of rates
The number of trucks needed is 42
<h3>How to determine the number of trucks</h3>
The size of the backfill is given as: 243 CY
A truck can load up to 162 CF
So, the number of trucks needed is calculated as:
Convert CY to CF
Solve
Approximate
Hence, 41 trucks are needed
Read more about rates at:
brainly.com/question/8728504
