Answer: John's share of the money is $18.75
Step-by-step explanation:
The total amount of money that was paid to John and Monica for their work is $41.25.
John worked 2.5 hours, and Monica worked 3 hours. This means that the ratio of the amount of time that each of them worked is
2.5 : 3
Total ratio is 2.5 + 3 = 5.5
If they split the money according to the amount of time each of them worked, then John's share of the money would be
2.5 / 5.5 × 41.25 = 103.125/5.5
= $18.75
Answer:
B) 60
Step-by-step explanation:
<u>Given:</u>
- <A = 2x
- <B = 60
- <A and <B are supplementary angles (they add up to 180)
<u>Equation:</u>
<A + <B = 180
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 60
Based on the calculations, the correct value of the test statistic is equal to 3.2.
<h3>How to calculate value of the test statistic?</h3>
For samples A and B, the hypothesis is given by:
H₀: μ₁ ≤ μ₂
H₁: μ₁ > μ₂
Since both samples have a normal distribution, we would use a pooled z-test to determine the value of the test statistic:
Substituting the given parameters into the formula, we have;
z = 3.2.
Read more on standard deviation here: brainly.com/question/4302527
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Answer:
x
Step-by-step explanation:
Simplifying
11d + -88 = 0
Reorder the terms:
-88 + 11d = 0
Solving
-88 + 11d = 0
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '88' to each side of the equation.
-88 + 88 + 11d = 0 + 88
Combine like terms: -88 + 88 = 0
0 + 11d = 0 + 88
11d = 0 + 88
Combine like terms: 0 + 88 = 88
11d = 88
Divide each side by '11'.
d = 8
Simplifying
d = 8
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