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asambeis [7]
3 years ago
6

What is the measure of X? angles are not necessarily drawn to scale

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

xº=71º

Step-by-step explanation:

Take the triangle BDH

Once the sum of interior angles of a triangle is 180º:

40º+31º+yº=180º

71º+yº=180º

yº=109º

Once yº and xº are supplementary angles (add up to 180º):

yº+xº=180º

109º+xº=180º

xº=71º

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From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation diffe
Gre4nikov [31]

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

3 0
3 years ago
2. Find the surface area of a cylindrical can of tennis balls if the height of the can is 8
alina1380 [7]

Answer:

125.7 square inches

Step-by-step explanation:

The surface area of a cylinder is the sum of the areas of the two circles on each end and the area encircling "rectangle". Note that the length of this "rectangle" is the height of the can, while the width is the perimeter of the circle. The full equation is:

A=2 \pi r^2 +2 \pi r h\\A=2 \pi r(r+h)\\A=2 \pi (2)(2+8)\\A=40 \pi\\A=125.7

7 0
3 years ago
Read 2 more answers
For every 2 hours that Robert spends studying for a math test he spends 3 hours working on English. If he spends 21 hours one mo
nataly862011 [7]

Answer:

31.5 hours studying English

Step-by-step explanation:

2 math hours  = 3 english hours

21 math hours = ? english hours

21/2 = 10.5

10.5 * 3 = 31.5

5 0
3 years ago
Assume that the random variable X is normally distributed with mean μ=80 and standard deviation σ=18. Find the 11th percentile f
choli [55]
<span>The value you are looking for is 70 - 8.4 = 61.6 Hope it helps

</span>
6 0
3 years ago
Appreciate the support!
andreyandreev [35.5K]

The volume of a rectangular prism is represented by the following equation:

V=w*h*l

Where the variables are for volume, width, height, and length, respectively.

We are given that the area of one end is 16 cm² (units have to be correct when solving these problems, so it's 16 cm², not 16 cm as described in the problem). We know that A=w*h

Using this knowledge, we can change the volume equation to our needs.

V=w*h*l

V=(w*h)*l

V=A*l

Note: We know that A is 16 since it's given

V=16*l

The volume is 208 cm³ (once again, incorrect units given). Insert this into the equation.

208=16*l

Divide both sides of the equation by 16.

13=l

The length is 13 cm.

Let me know if you need any clarifications, thanks!

4 0
3 years ago
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