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1 year ago

86051472 in numerical and word form

Mathematics

1 answer:

ZanzabumX [31]1 year ago

3 0

Word form: eighty-six million fifty-one thousand four hundred seventy-two

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The perimeter of a given parallelogram is 46 inches. If the length of one side is 14 inches , what is the length of a side adjac

Ann [662]

Perimeter = 2*14 + 2x where x is length of the adjacent side

46 = 28 + 2x

2x = 18

x = 9 inches Answer

4 0

3 years ago

Calculate the volume of the cylinder. Use button, not 3.14. Round answer to the tenth place.

Volgvan

Answer:

68.69 m^3

Step-by-step explanation:

Volume of cone = $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}\pi (2.9^{2})(7.8)$

= $\frac{1}{3}\pi (65.6)\\$

= $\frac{1}{3}(206)$

$= 68.69 m^3$

7 0

3 years ago

g A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50. In a rando

Tema [17]

Answer:

We accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

Step-by-step explanation:

A sanitation supervisor is interested in testing to see if the mean amount of garbage per bin is different from 50.

This means that the null hypothesis is:

$H_{0}: \mu = 50$

And the alternate hypothesis is:

$H_{a}: \mu \neq 50$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

50 tested at the null hypothesis:

This means that $\mu = 50$

In a random sample of 36 bins, the sample mean amount was 50.67 pounds and the sample standard deviation was 3.9 pounds.

This means that $n = 36, X = 50.67, \sigma = 3.9$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{50.67 - 50}{\frac{3.9}{\sqrt{36}}}$

$z = 1.03$

p-value:

Since we are testing if the mean is differente from a value and the z-score is positive, the pvalue is 2 multipled by 1 subtracted by the pvalue of z = 1.03.

z = 1.03 has a pvalue of 0.8485

1 - 0.8485 = 0.1515

2*0.1515 = 0.3030

0.3030 > 0.01, which means that we accept the null hypothesis, that is, the the mean amount of garbage per bin is not different from 50.

5 0

3 years ago

An equation 1/6 x equals 2/3

Kobotan [32]

1/6 x = 2/3 |multiply both sides by 6

x = 12/3

x = 4

5 0

3 years ago

Explain the differences between a parallelogram and a rectangle.

muminat

Answer:

Similarities between a parallelogram and a rectangle

Quadrilateral (4-sided, two dimensional shape)
Opposite sides are equal and parallel to each other
Sum of all the interior angles is 360°
Diagonals bisect each other
Adjacent angles are supplementary (sum to 180°)
Opposite angles are equal

Differences between a parallelogram and a rectangle

A rectangle has four equal interior angles (each are 90°) whereas only the opposite angles in a parallelogram are equal.
The diagonals of a rectangle are equal in length, whereas the diagonals of a parallelogram are not equal in length.

All rectangles are parallelograms since the opposite sides of a rectangle are parallel, but all parallelograms are not rectangles.

4 0

2 years ago

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