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Elis [28]
3 years ago
10

A parallelogram has sides of 8 yards and 10 yards and an angle that measures 60 degrees. What is the area of the parallelogram?

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0
The area should be 80 yards
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The amount a worker is paid in his entire career​
mihalych1998 [28]
It might be Annual salary?

7 0
2 years ago
the table shows the types of popcorn buckets sold at a concession station for one day. what percent of the buttered popcorn buck
vlada-n [284]
Hi there! The answer is about 23%

First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.

To find the percentage of the buttered popcorn buckets that were large, we use the following formula:
\frac{part}{total} \times 100\%

Filling in this formula brings us to our answer:
\frac{97}{419} \times 100\% = 23.15
Hence, the answer is about 23%
7 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 solution to the following system of equations?<br><br> x+y=5<br> x-y=1<br> step by step
Andreas93 [3]
x+y=5
-x -x

Equals:

y=-x+5

Now you have:

y=-x+5
x-y=1

Insert -x+5 into y

x-x+5=1

Combine like terms

2x+5=1

Subtract 5.

2x=-4

Divide 2.

Answer: x=-2

8 0
3 years ago
Some body help me please to find the answer and tell me how do you find the answer step by step please I need help
Elenna [48]
Circle: 8m times 3.14 squared = 201
two circles: 201 times 2 = 402
entire figure including circles: 24 times 34 = 816

8 0
3 years ago
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