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3 years ago

Please find X for me this is Pythagorean theorem

Mathematics

1 answer:

Natali5045456 [20]3 years ago

6 0

Answer:

x = 6 * $\sqrt{10}$

Step-by-step explanation:

I assume x is the diagonal. length

if so here it goes:

the base length is 18

the height of the triangle should be ... 13 - 7 = 6

so hypotenuse = root ( 18^2 + 6^2) = root(324 + 36) = root(360) = 6root(10)

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3. A principal orders 2,592 pencils. She gives an equal amount to each of

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Each teacher should receive 108 pencils

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3 years ago

You are planning a survey of starting salaries for recent computer science majors. In a recent survey by the National Associatio

nydimaria [60]

Answer:

A sample size of 554 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation is known to be $12,000

This means that $\sigma = 12000$

What sample size do you need to have a margin of error equal to $1000, with 95% confidence?

This is n for which M = 1000. So

$M = z\frac{\sigma}{\sqrt{n}}$

$1000 = 1.96\frac{12000}{\sqrt{n}}$

$1000\sqrt{n} = 1.96*12$

Dividing both sides by 1000:

$\sqrt{n} = 1.96*12$

$(\sqrt{n})^2 = (1.96*12)^2$

$n = 553.2$

Rounding up:

A sample size of 554 is needed.

5 0

3 years ago

ryan has a $3000 bond with a 6% coupon. how much interest will ryan recieve for this bond every 6 months?

lidiya [134]

Answer:

<h3>$90 interest will Ryan receive for this bond every 6 months.</h3>

Step-by-step explanation:

We are given that Ryan has total bond of amount $3000.

Rate of interest = 6% per annul.

Time = 6 month = $\frac{1}{2}$ of a year.

Formula of simple interest = $PRT$ , where P is the bond amount, R is the rate of interest per year and T is the time in years.

Plugging values P= 3000, R= 6% = 0.06 and T= $\frac{1}{2}$ in above formula, we get

I = 30000×0.06 × $\frac{1}{2}$

I= 90.

<h3>Therefore, $90 interest will Ryan receive for this bond every 6 months.</h3>

8 0

3 years ago

Read 2 more answers

Change 196% to a whole number

Vesna [10]

196% = 100% + 96%

=100/100 + 96/100

=1 + 96/100

=1.00 + 0.96

=1.96

8 0

3 years ago

Read 2 more answers

(2x)⁴ = (2x)(2x)(2x)(2x)<br>(xy)⁷ =<br>(-ab)⁶ =<br><br>write in expanded form

weqwewe [10]

Step-by-step explanation:

(xy)(xy)(xy)(xy)(xy)(xy)(xy)

(-ab)(-ab)(-ab)(-ab)(-ab)(-ab)

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3 years ago