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2 years ago

6

A division problem is shown below. 4 and one-third divided by 5 and StartFraction 1 over 6 EndFraction The reciprocal of a fract

ion must be found to solve the problem. What is the reciprocal fraction that is required?

2 answers:

True [87]2 years ago

3 0

Answer:

5 1/6

Step-by-step explanation:

Setler [38]2 years ago

3 0

Answer:

31/6

Step-by-step explanation:

I did test

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The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either

Gala2k [10]

To solve this problem, let us first define what is mean and median. Mean is the average of all the numbers in the data set while the median is the number in the middle of the data set in ascending order.

If we create a box plot for the data of Rome and New York, we can see that there is an outlier in the data for New York. Since New York has an outlier, so the mean is not a good representation on the central tendency of the data. The mean is skewed (distorted) by the outlier. So in this case it is better to use the median.<span>

While the Rome data is nice and symmetrical, it does not seem to have an outlier, so we can use the mean for this data set.</span>

Therefore the answer is:

<span>The Rome data center is best described by the mean. The New York data center is best described by the median</span>

3 0

2 years ago

Read 2 more answers

Please help me with this math question

earnstyle [38]

80.64
because 16 times 12 is 192
if every tile is 2 feet divide 192 by 2
you should get 96 meaning there are 96 tiles
then take 96 and multiply by it by .84 because every tile is 84 cents
you then get 80.64

6 0

2 years ago

Which statements are true about circle Q? Select three options. The ratio of the measure of central angle PQR to the measure of

kkurt [141]

Answer:

<h3>- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>- The area of the shaded sector depends on the length of the radius. </h3><h3>- The area of the shaded sector depends on the area of the circle</h3>

Step-by-step explanation:

Given central angle PQR = 45°

Total angle in a circle = 360°

Ratio of the measure of central angle PQR to the measure of the entire circle is $\frac{45}{360} = \frac{1}{8}$ . This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.

Area of a sector = $\frac{\theta}{360}*\pi r^{2}$

$\theta$ = central angle (in degree) = 45°

r = radius of the circle = 6

Area of the sector

$= \frac{45}{360}*\pi (6)^{2}\\ = \frac{1}{8}*36 \pi\\ = 4.5\pi units^{2}$

<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>

From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>

Since Area of the circle = πr²

Area of the circle = 36πunits²

The ratio of the area of the shaded sector to the area of the circle = $\frac{4.5\pi }{36 \pi } = \frac{1}{8}$

For length of an arc

$= \frac{45}{360}*2\pi r\\= \frac{45}{360}*2\pi (6)\\= \frac{45}{360}*12 \pi \\= \frac{12\pi }{8} \\= \frac{3\pi }{2} units$

ratio of the length of the arc to the area of the circle = $\frac{\frac{3\pi}{2} }{36\pi} = \frac{3}{72} =\frac{1}{24}$

It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle

5 0

2 years ago

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Eric invested $20,500 in an account that earns 1% simple interest. He will make no more deposits or withdrawals.

hjlf

Answer:

C

Step-by-step explanation:

3 0

2 years ago

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How many solutions are there to the system of equations?

hichkok12 [17]

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

$\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.$

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

$4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1$

You can identify that:

$m=0.8\\b=-1$

Apply the same procedure with the second equation. Then:

$-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1$

You can identify that:

$m=0.8\\b=1$

The slopes of both lines are equal, therefore the lines are parallel and the system has NO SOLUTION.

7 0

2 years ago

Read 2 more answers