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myrzilka [38]
3 years ago
12

The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as

Mathematics
1 answer:
Alex Ar [27]3 years ago
5 0

Answer:

<h2>54x¹³</h2><h2 />

Step-by-step explanation:

area = L x W

where L = 9x⁸

          W = 6x⁵

<u>plugin values into the formula:</u>

Area = 9x⁸ * 6x⁵

        = 54x¹³

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The volume of oil in four different containers is shown below: container
sdas [7]
Let me help you!
What we have right now:
<span>*A 5.25 milliliters container.
</span>*A <span>5.29 milliliters container.
</span>*A <span>5.27 milliliters container.
</span>*A <span>5.23 milliliters container.
</span><span>*Sue's measuring cup that can measure to the nearest tenth of a milliliter.
</span>
What we need to do:
*Find out the least amount of oil after Sue used her measuring cup to measure each oil container.

Solution:
Container A: <span>5.25mL ---> 5.3mL
</span>Container B: 5.29mL ---> 5.3mL
Container C: 5.27mL ---> 5.3mL
Container D: 5.23mL ---> 5.2mL <---- This is what we are looking for!

Therefore, the correct answer and the container which has the least amount of oil is: D. <span>5.23 milliliters container.

I hope this helped you :></span>
6 0
3 years ago
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is
Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k"  (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N}  = \frac{(x_1 + x_2 + ... + x_n)}{N} = M

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0
3 years ago
What is the mean of this data set? 8, 47, 13, 17, 26, 32
sleet_krkn [62]
The sum of your data set is 23.8333333333.All you have to do is add them all together and then divide by 6, which is the number of numbers there are.

8+13+17+26+32+47=143
143/6+23.8333333333
7 0
4 years ago
Read 2 more answers
Identify the property that is illustrated. <br> 23 + (2 +7) = (23 +2) + 7
iris [78.8K]

Answer:

That property would be associative

Step-by-.step explanation:

Because no matter how you change the parentheses in that problem, it would be the same.

3 0
3 years ago
Read 2 more answers
Using the graph of the quadratic function, identify the domain
galina1969 [7]

Answer: Choice B)  -infinity < x < infinity

==========================================================

Explanation:

The parabola goes on forever to the left and to the right. We can plug in any x value without worrying about something as a division by zero error. So any real number will work.

Writing -infinity < x < infinity refers to the entire number line, which is the set of all real numbers.

3 0
3 years ago
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