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3 years ago

The area of the parallelogram is 45 square miles. Find its base and height

1 answer:

3 0

<span>A parallelogram is a 4-sided shape formed by two pairs of parallel lines. Opposite sides are parellel separately, so each pair of opposite sides have equal lengths and angles. To find the area of a parallelogram, multiply its base by height. The formula is: A(rea) = B(ase) * H(eight) * means multiply. In the question, the area of the parallelogram is known as 45 square miles, which means: 45 = B * H So we need to find out all the possible pair of factors, whose product is 45: 1 * 45 = 45 3 * 15 = 45 5 * 9 = 45 Then we know base and height will fall into each pair: 1 * 45 = 45 => B = 1 miles, H = 45 miles or B = 45 miles, H = 1 miles 3 * 15 = 45 => B = 3 miles, H = 15 miles or B = 15 miles, H = 3 miles 5 * 9 = 45 => B = 5 miles, H = 9 miles or B = 9 miles, H = 5 miles</span>

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X^1/4 +3 =0 -Solve the equation. Check your solutions

mina [271]

Answer:

Step-by-step explanation:

subtract 3 from both sides->x^1/4=-3

set both sides to the power of 4-> x=(-3)^4

solve-> x=81

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4 years ago

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Rus_ich [418]

Answer:

Step-by-step explanation:

I = PRT

252 = (900)(.07)(T)

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divide 63 from both sides

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3 years ago

Which point is an x-interceptof the quadratic function f(x)=x-4)(x+2)

AlladinOne [14]

Answer:

The x intercepts are -2 ,4

Step-by-step explanation:

f(x)=(x-4)(x+2)

We set the function equal to 0 to determine the x intercepts

0 = (x-4)(x+2)

Using the zero product property

0 = x-4 0 = x+2

x=4 x=-2

The x intercepts are -2 ,4

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3 years ago

If sample variance is computed by dividing SS by df = n – 1, then the average value of the sample variances from all the possibl

boyakko [2]

Answer:

$s^2 = \frac{SS}{n-1}$

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

$\sigma =\frac{SS}{n}$

So then the best answer for this case would be:

The average value of the sample variances from all the possible random samples will be exactly the population variance

Step-by-step explanation:

For this case we can define the sum of squares with this formula:

$SS = \sum_{i=1}^n (X_i -\bar X)^2$

Where:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And we can find the sample variance with this formula:

$s^2 = \frac{SS}{n-1}$

And if we take the average value of the sample variances from all the possible random samples we will get the population variance:

$\sigma =\frac{SS}{n}$

So then the best answer for this case would be:

The average value of the sample variances from all the possible random samples will be exactly the population variance

6 0

3 years ago

what is the difference between the mean and the median of the following distribution? {1,1,1,2,2,2,2,3,3,4,4,4,4,5,5,6,7,7,8,8,9

iren2701 [21]

The given distribution =

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

To find mean, we have to add the given numbers and divide it by the total number of terms given.

Here 21 total numbers given.

Mean = (1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9) /21

= (88)/21 = 4.19 (Approximate upto two decimal place)

Median is the middle value of the distribution.

1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 9

There are 21 numbers given. So middle value is the number in the 11th position.

The number in the 11th position is 4.

So, the median of the distribution = 4

We have to find the difference between mean and median here. To find the difference we have to subtract mean and median.

Therefore, the required difference = 4.19 - 4 = 0.19

0.19 is the required answer here.

So, option b is correct.

3 0

4 years ago

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