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3 years ago

What is the equation that can be used to find the number of dollars he paid per hour of labor

Mathematics

1 answer:

Elan Coil [88]3 years ago

7 0

120 + 5d = 445 <==

** parts + labor = 445
p = 120
labor = 5 hrs * d...where d is cost per hr

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Mark spent 5/12 of an hour on his math homework and 6/12 of and hour on english homework altogether,what fraction of an hour did

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Mark spent 11/12 of an hour doing both math and english homework

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3 years ago

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Find the perimeter of a square that is 3 3/4 inches on a side.

Dahasolnce [82]

perimeter would be s x 4

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B is the correct answer

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3 years ago

What is the complete factorization of the polynomial below?<br> x3 + 2x2 + 4x + 8

telo118 [61]

Answer:

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step-by-step explanation:

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3 years ago

∠A=5x−18. ∠B=3x+42∘ solve for x and then find the measure of ∠A

KatRina [158]

Answer:

x = 30 ∠A = 132 degrees

Step-by-step explanation:

Set the equations equal to each other to solve for x

5x - 18 = 3x + 42

-3x - 3x Subtract 3x from both sides

2x - 18 = 42

+ 18 + 18 Add 18 to both sides

2x = 60 Divide both sides by 2

x = 30

Now plug this into the equation for angle A

∠A = 5(30) − 18 Multiply

∠A = 150 - 18 Subtract

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3 years ago

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A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

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3 years ago