Find the perimeter of this triangle. 10 cm 17 cm 8 cm 21 cm P = [ ?] cm

The length of the shorter side of a parallelogram is 29 cm. Perpendicular line segment, which goes through the point of intersec

Katena32 [7]

A = 900 $cm^{2}$

The area of a parallelogram can be found by taking its base (b) and multiplying by the height (h). The base has the measure of 33 +12 = 45 cm. Now, you just need to find the height of the parallelogram. The height can be found by using the pythagorean theorem ( $a^{2} + b^{2} = c^{2}$ .

So, when simplified the height of the parallelogram will be found from $\sqrt{ 29^{2} - 21^{2}}$

The height is 20 cm. The base is 45 cm. 45 x 20 = 900.

6 0

2 years ago

Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling me

amid [387]

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

$H_{0}: p \geq 0.6$

And the alternate hypothesis is:

$H_{a}: p < 0.6$

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.

0.6 is tested at the null hypothesis:

This means that:

$\mu = 0.6$

$\sigma = \sqrt{0.6*0.4}$

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that $n = 575, X = \frac{338}{575} = 0.5878$

Value of the test-statistic:

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

$z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}$

$z = -0.6$

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

3 0

3 years ago

Write an inequality that expresses the reason the lengths 5 feet, 10 feet, and 20 feet could not be used to make a triangle. Exp

Anit [1.1K]

The 2 smallest lengths in a triangle have to add up to be greater that the longest side of the triangle. In this case, the longest side is 20. The 2 smallest sides are 5 and 10. 5+10=15, but 15<20. This is why these 3 lengths can’t create a triangle.

6 0

2 years ago

A square has a side of 6.25 feet. What is the area in square feet? Round to the correct significant digits.

denis23 [38]

Area of a square = side^2
area = 6.25^2 = 39.0625 square feet

= 39.06 (rounded)

4 0

2 years ago

!!20 POINTS!! What are the names of three collinear points?

maks197457 [2]

Answer: L, J, K

Step-by-step explanation:

L, J, and K are collinear because they all lie on the same line.

8 0

2 years ago