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EastWind [94]
2 years ago
14

Question 4

Mathematics
1 answer:
ololo11 [35]2 years ago
5 0

Answer:

4570

Step-by-step explanation:

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Please help! 10 points
Orlov [11]
<h2>Greetings!</h2>

Answer:

Angle A is 118°

Step-by-step explanation:

All angles in a circle add up to 180, so this means that all the measurements of the three angles add to 180:

x + 2x + 13 + x - 8 = 180

Clean it up:

3x + x + x + 13 -8

5x -5 = 180

To isolate the 5x, you need to move the +5 over to the other side, making it a negative 5:

5x = 180 - 5

5x = 175

Now divide each side by 5 to get the value of 1x:

\frac{5x}{5}  = \frac{175}{5}

x = 35

So angle A is:

3x + 13

3(35) + 13 = 118

<h3>So angle A is 118°</h3>
<h2>Hope this helps!</h2>
8 0
3 years ago
Read 2 more answers
Need your help, Answer ASAP PLZZ!!!
ss7ja [257]

Answer: m∠IJH = m∠JHL because they are Alternate Interior Angles

Step-by-step explanation:

6 0
2 years ago
Circumference and Area questions look at the picture
Helga [31]

Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C.  (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

5 0
2 years ago
Which is more 2/3 or 2/4
goblinko [34]
The answer would be 2/3 is greater than 2/4. Two- thirds is equivalent to 0.67 while 2/4 is equivalent to 1/2 or 0.5. Of course, 0.67 is greater than 0.5.
6 0
3 years ago
A manufacturer of nails claims that only 4% of its nails are defective. A random sample of 20 nails is selected, and it is found
irakobra [83]

Answer:

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

Step-by-step explanation:

A manufacturer of nails claims that only 4% of its nails are defective.

At the null hypothesis, we test if the proportion is of 4%, that is:

H_0: p = 0.04

At the alternative hypothesis, we test if the proportion is more than 4%, that is:

H_a: p > 0.04

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.

4% is tested at the null hypothesis

This means that \mu = 0.04, \sigma = \sqrt{0.04*0.96}

A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.

This means that n = 20, X = 0.1

Value of the test statistic:

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

z = \frac{0.1 - 0.04}{\frac{\sqrt{0.04*0.96}}{\sqrt{20}}}

z = 1.37

P-value of the test and decision:

Considering an standard significance level of 0.05.

The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.

Looking at the z-table, z = 1.37 has a p-value of 0.9147

1 - 0.9147 = 0.0853

The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.

7 0
3 years ago
Read 2 more answers
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