What is perpendicular to x=5

What is the missing length

Zina [86]

Answer:

c = 12

Step-by-step explanation:

$a^{2} + b^{2} = c^{2}$

$7.2^{2} + 9.6^{2} = c^{2}$

51.84 + 92.16 = $c^{2}$

144 = $c^{2}$

$\sqrt{144}$ = c

12 = c

hope this helps :)

6 0

3 years ago

) Which statements about -3 and -7 are true? Choose ALL the correct answers.

trasher [3.6K]

Answer: -3 is greater than -7 and the absolute value of -3 is less than the absolute value of -7.

Step-by-step explanation:

For NEGATIVE numbers, the closer the value is to 0, the greater it is. -3 is closer to 0 than -7 is, so -3 is greater than -7. For POSITIVE numbers, the further away the number is from 0, the greater it is. The absolute value of -3 is 3 and the absolute value of -7 is 7, and 7 is farther away from 0 than 3 is. So, the absolute value of -3 is less than the absolute value of -7. Hope this helps!

6 0

3 years ago

How many times larger is 9 × 1013 than 3 × 108?

Allisa [31]

Answer:

8793

Step-by-step explanation:

9×1013= 9117

3×108=324

9117-324= 8793

8 0

3 years ago

Dirk is a broker who earns $41,000 annually, 3.5% commission on his clients’ investments of $2.4 million, and a fee of $5.25 on

Scilla [17]

Answer:

His annual earnings is $131,562.50

Step-by-step explanation:

Here, we want to calculate Dirk’s total annual earnings.

We have three things to add together;

Annual earnings, commission and fees

Annual earnings is already stated = $41,000

Commission

= 3.5% of $2.4 million

= 3.5/100 * 2,400,000 = $84,000

Fees

= $5.25 * 1,250 = $6562.50

Total earnings will be;

41,000 + 6562.5 + 84,000 = $131,562.50

5 0

4 years ago

Examine the required sample size needed to be able to

Xelga [282]

Answer:

$n=(\frac{2.33(500)}{10})^2 =13572.25 \approx 13573$

And if we use a sample level of n =2000 the margin of error would be higher as we can see here:

$ME=2.33\frac{500}{\sqrt{2000}}=26.05$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=500$ represent the population standard deviation assumed

n represent the sample size (variable of interest)

Confidence =98% or 0.98

ME = 10 represent the margin of error desired

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =10 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.01;0;1)", and we got $z_{\alpha/2}=2.33$ , replacing into formula (b) we got:

$n=(\frac{2.33(500)}{10})^2 =13572.25 \approx 13573$

So the answer for this case would be n=13573 rounded up to the nearest integer

And if we use a sample level of n =2000 the margin of error would be higher as we can see here:

$ME=2.33\frac{500}{\sqrt{2000}}=26.05$

3 0

4 years ago