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german
2 years ago
10

A square window has an area of 256 in2. If each side of the window measures 4x, ……

Mathematics
1 answer:
S_A_V [24]2 years ago
7 0

Answer:

sides are of 16 in

Step-by-step explanation:

here's your solution

==> area of square = 256 in^2. [given]

==> side of square = 4x

==> area of square= side^2

==> 4x^2 = 256

==> 16x^2 = 256

==> x^2 = 256/16

==> x^2 = 16

==> x = √16

==> x = 4

==> x = 4

hence sides are of 16 in

Hope it helps

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A business owner collected data on the people working for her company. She determined the average number of minutes each employe
Naddika [18.5K]

Answer:

The comparison using median and IQR is best because one of the graphs is not symmetrical.<em> </em>

Step-by-step explanation:

The following information is missing

<em>A box plot titled Number of Minutes Women Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 54, and the box ranges from 34 to 50. A line divides the box at 48.  </em>

<em>A box plot titled Number of Minutes Men Spend on Breaks. The number line goes from 30 to 70. The whiskers range from 30 to 68, and the box ranges from 36 to 60. A line divides the box at 48.  </em>

<em>The business owner uses the median and IQR to determine the center and variability of the data sets. Which best describes the comparison? </em>

<em>The comparison would be more accurate using the mean and MAD because one of the graphs is symmetric. </em>

<em>The comparison would be more accurate using the mean and MAD because the median of both data sets is the same. </em>

<em>The comparison using median and IQR is best because one of the graphs is not symmetrical. </em>

<em>The comparison using median and IQR is best because the median is greater than the IQR for both data sets.</em>

<em />

Mean and MAD are useful for comparison when both data sets are symmetrical.

In the women box plot the Q1 is at 34, the median is at 48, and the Q3 is at 50, so it is not symmetrical (the difference between the median and the Q1, and the Q3 and the median is not the same)

8 0
3 years ago
EThe graph of a quadratic function passes through the points (6,0) and (p,0). The maximum point
MA_775_DIABLO [31]

Answer:

p = - 5

Step-by-step explanation:

The vertex of the function is (0.5, 30.25 )

Since the roots are (6, 0) and (p, 0) then the axis of symmetry is vertical

with equation x = 0.5

The axis of symmetry passes through the midpoint of the roots, thus

\frac{6+p}{2} = 0.5 ( multiply both sides by 2 )

6 + p = 1 ( subtract 6 from both sides )

p = - 5

6 0
3 years ago
In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of
Studentka2010 [4]

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

p = 0.95

and

q = 1 - 0.95 = 0.05

The standard deviation of the proportion is

=  \sqrt{ \frac{pq}{n} }

=  \sqrt{ \frac{0.95 \times 0.05}{750} }  \\  = 0.00796

We want to find the probability, that the sample proportion,

\hat p \leqslant  \frac{700}{750} \\    \hat p \leqslant  0.9 \bar3

P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\  = P(Z\le - 2.09) \\  = 0.0183

5 0
3 years ago
A right triangle has legs of lengths 19 and 10 inches. Find the length of
AnnZ [28]

Answer:

21.5

Step-by-step explanation:

19^2+10^2=461

square root of 461 =21.47091055

round to the nearest tenth to get 21.5

7 0
2 years ago
Read 2 more answers
How can using equivalent ratios help you operate a business?
never [62]
Hi there

Using equivalent ratios to help operate a business is useful for financial ratios.
There are common size ratios, liquidity ratios, efficiency ratios, and solvency ratios. 

Ratios are used to let us compare one item to another. (For example, comparing 1 teacher to 25 students, or 1:25)

Did you have any answers to chose from? I just figured I'd provide you with what I knew about this subject to help in case there were no options to chose from.
4 0
3 years ago
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