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Makovka662 [10]

3 years ago

12

Solve for the variables?

1 answer:

Ahat [919]3 years ago

3 0

We know that
cos 60°=1/2
cos 30°=(√3)/2
so
cos 60°=x/14---------> x=14*cos 60°----> x=14*(1/2)-----X=7 units
and
cos 30°=y/14---------> y=14*cos 30°----> x=14*(√3)/2----> y=7√3 units

the answers are
x=7 units
y=7√3 units

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nexus9112 [7]

Answer:

n=1705

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=1.6)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{1.6}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 2.58$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.58(1.6)}{0.1})^2 =1704.03$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=0.1$ mm is n=1705.

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3 years ago

A photographer made a 5-inch by 8-inch print of a photo. He then made a 10-inch by 16-inch print of the same photo. Which scale

GREYUIT [131]

Answer:

A.

Step-by-step explanation:

5x8 enlarged to 10x16

10 is 5x2 and 16 is 8x2

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3 years ago

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Answer:

The answer is choices A.

Solutions:

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3 years ago

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Zolol [24]

Answer:

The probability that the person is between 65 and 69 inches is 0.5403

Step-by-step explanation:

Mean height = $\mu = 66$

Standard deviation = $\sigma = 2.5$

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$Z=\frac{x-\mu}{\sigma}$

At x = 65

$Z=\frac{65-66}{2.5}$

Z=-0.4

Refer the z table for p value

P(x<65)=0.3446

At x = 69

$Z=\frac{69-66}{2.5}$

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So,P(65<x<69)=P(x<69)-P(x<65)=0.8849-0.3446=0.5403

Hence the probability that the person is between 65 and 69 inches is 0.5403

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3 years ago

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