Solve the inequality

A circle is inscribed inside a square as shown. If graphed on the coordinate plane, the coordinates of the center of the circle

Contact [7]

<span>The correct answer is D

.</span>

3 0

3 years ago

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PLEASE HELP I REALLY DONT UNDERSTAND HOW TO DO THESE QUESTIONS!!!!! THANK YOU I APPRECIATE YOU!!!!

liraira [26]

Answer:

a) $42,580

b) $43,900

Step-by-step explanation:

Recall, "mode" refers to the value which occurs most frequently.

In this case, the question says that there are 2 modes,

this means $34,000 and $50,500 both share the spot for the most frequently appearing salary.

because there are only 5 employees (and hence 5 salaries), the only possible way that there are two modes is if there are two of each mode, leaving only the last salary unknown.

i.e if we list the 5 salaries (in no particular order)

$34,000 $34,000 $50,500 $50,500 $ x

where x is the 5th unknown salary.

Given that the mean is $42,100

Then (34,000 + 34,000 + 50,500 + 50,500 + x) / 5 = 42,100

solving for x gives x = $41,500

Now we know all the values, we can rearrange them in increasing value:

$34,000 $34,000 $41,500 $50,500 $50,500

from this, we can see that the median salary is $41,500

Given that the median salary gets a $2400 raise,

the new median salary = $41,500 + $2400 = $43,900 (Ans for part b)

new mean salary,

= ($34,000 + $34,000 + $43,900 + $50,500 + $50,500 ) / 5

= $42,580 (answer for part a)

4 0

3 years ago

What is 20 percent of 240???

Charra [1.4K]

$20\% \ of \ 240= \frac{20}{100}*240= \\\\ =20*2.4=\\\\=\boxed{48}$

5 0

3 years ago

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6. Which process was used to obtain the equation shown in Step 2?

frozen [14]

Answer:

A) added to both sides of the equation

Step-by-step explanation:

3 0

3 years ago

Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minu

AlladinOne [14]

<u>Complete Question</u>

The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.

$\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|$

Answer:

$\dfrac{108}{329}$

Step-by-step explanation:

From the table above

Total Number of commuters who used public transportation=329

Number of commuters who spent 60 or more minutes on public transportation=108

Therefore:

Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:

P ( 60 + minutes ∣ public transportation ) = $\dfrac{108}{329}$

8 0

3 years ago