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3 years ago

How do i factor 54a + 24b

2 answers:

6 0

Well, to factor out we have to find the gratest common factor of 54 and 24 which is 6. then divide both numbers by that number

54/6=9 24/6=4

6(9a+4b) is your final answer

trapecia [35]3 years ago

5 0

54a + 24b

find the greatest common factor, in this case 6.

6 (9a + 4b)

Done!

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(-4,6); slope = -3/4

yawa3891 [41]

Answer:

y-6=-3/4(x+4)

Step-by-step explanation:

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m=-3/4

y-6=-3/4(x-(-4))

y-6=-3/4(x+4)

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3 years ago

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Step-by-step explanation:

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The floor inside the horse barn is 45 feet long and 20 feet wide . The barn has 2 floors ( an upstairs and downstairs ) and both

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To find area we multiple length by width

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4 years ago

Consolidated Power, a large electric power utility, has just built a modern nuclear power plant. This plant discharges waste wat

Gemiola [76]

Answer:

We conclude that the plant should shut down.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 61.498

Sample size, n = 100

Alpha, α = 0.05

Population standard deviation, σ = 6

a) First, we design the null and the alternate hypothesis such that the power plant will be shut down when the null hypothesis is rejected.

$H_{0}: \mu \leq 60\\H_A: \mu > 60$

We use One-tailed(right) z test to perform this hypothesis.

b) Formula:

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

Putting all the values, we have

$z_{stat} = \displaystyle\frac{61.498 - 60}{\frac{6}{\sqrt{100}} } = 2.49$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

Calculating the p-value from the z-table:

P-value = 0.0063

Since,

P-value < Significance level

We reject the null hypothesis and accept the alternate hypothesis. Thus, the temperature of waste water discharged is greater than 60°F. We conclude that the power plant will shut down.

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4 years ago

Joshua has $500 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

spayn [35]

Answer: 12

Step-by-step explanation:

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3 years ago