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iogann1982 [59]
3 years ago
8

Rewrite the following using the GCF and the distributive property :32 + 54

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
3 0

Answer:

GCF: 2

Step-by-step explanation:

GCF: 2

(2*16) + (2*27)

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What expression represents the area of the triangle?
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A=bh/2, that is area is equal to half of the product of the base and height, so in this case:

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Find the equation of the lien shown.
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Answer:

y = \frac{1}{2} x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

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7 0
2 years ago
A television​ network, Network​ A, is scheduling its fall lineup of shows. For the Tuesday night 8 p.m.​ slot, Network A has sel
Mazyrski [523]

Answer:

The number of viewers Network A expects will watch their show is 1.4 million viewers.

Step-by-step explanation:

The expected value is calculated by multiplying the possible outcomes by the probability of their occurrence and adding the results

Therefore, we have the expected value given by the following expression;

Estimated network A viewers  where network B schedule top show = 1.1 million viewers

Estimated network A viewers where network B schedule a different show = 1.6 million viewers

Probability that Network B will air its top show = 0.4

Probability that Network B will air another show = 0.6

We therefore have;

Expected value, E of Network A viewers is therefore;

E = 1.1 × 0.4 + 1.6 × 0.6 =  0.44 + 0.96 = 1.4 million viewers.

Network A expects 1.4 million viewers will watch their show.

3 0
3 years ago
A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test thi
bearhunter [10]

Answer:

The statistic for this case would be:

z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}

And replacing we got:

z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92

Step-by-step explanation:

For this case we have the following info:

n =700 represent the sample size

X= 305 represent the number of employees that earn more than 50000

\hat p=\frac{305}{700}= 0.436

We want to test the following hypothesis:

Nul hyp. p \leq 0.4

Alternative hyp : p>0.4

The statistic for this case would be:

z=\frac{\hat p -p_o}{\sqrt{\frac{\hat p(1-\hat p)}{n}}}

And replacing we got:

z= \frac{0.436-0.4}{\sqrt{\frac{0.436*(1-0.436)}{700}}}= 1.92

And the p value would be given by:

p_v = P(z>1.922)= 0.0274

4 0
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