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Finger [1]
3 years ago
7

Please help me solve these problems

Mathematics
1 answer:
vovangra [49]3 years ago
5 0

Will do first question of each concept only because the rest of the questions are the same concept (the same few repeat but whatever).

1. <em>Total angle = (n - 2) * 180 --> 4 * 180 = 360°</em>

<em>70 + 130 + 120 + θ = 360</em> --> 320 + θ = 360 --> θ = 40

4. Total angle =<em> (10 - 2) * 180</em> --> 8 * 180 = <em>1440</em>

<em>1440/10</em> = 144°

6. Interior: (n - 2) * 180 --> 10 * 180 = 1800

Exterior: 12 * 180 = 2160 --> 2160 - 1800 = 360

9. (n - 2) * 180 --> 3 * 180 = 540

90 + 90 + 150 + 160 + θ = 540 --> 490 + θ = 540 --> θ = 50

13. Interior: (n - 2) * 180 --> 2 * 180 = 360

Exterior: n * 180 - (n - 2) * 180 --> 180n - 180n + 360 --> 360 (always the same)

16. 7r + 4r + 8r + 5r = 360 --> 24r = 360 --> r = 15

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Answer:N

Step-by-step explanation:

6 0
2 years ago
While conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modem
Kitty [74]

Answer:

We conclude that this is an unusually high number of faulty modems.

Step-by-step explanation:

We are given that while conducting a test of modems being manufactured, it is found that 10 modems were faulty out of a random sample of 367 modems.

The probability of obtaining this many bad modems (or more), under the assumptions of typical manufacturing flaws would be 0.013.

Let p = <em><u>population proportion</u></em>.

So, Null Hypothesis, H_0 : p = 0.013      {means that this is an unusually 0.013 proportion of faulty modems}

Alternate Hypothesis, H_A : p > 0.013      {means that this is an unusually high number of faulty modems}

The test statistics that would be used here <u>One-sample z-test</u> for proportions;

                             T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~  N(0,1)

where, \hat p = sample proportion faulty modems= \frac{10}{367} = 0.027

           n = sample of modems = 367

So, <u><em>the test statistics</em></u>  =  \frac{0.027-0.013}{\sqrt{\frac{0.013(1-0.013)}{367} } }

                                     =  2.367

The value of z-test statistics is 2.367.

Since, we are not given with the level of significance so we assume it to be 5%. <u>Now at 5% level of significance, the z table gives a critical value of 1.645 for the right-tailed test.</u>

Since our test statistics is more than the critical value of z as 2.367 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u><em>we reject our null hypothesis</em></u>.

Therefore, we conclude that this is an unusually high number of faulty modems.

6 0
3 years ago
Solve the equation <br> 13(x + 1) + 2x = 2
Goryan [66]
13x + 13 + 2x = 2
15x + 13 = 2
15x = -11
4 0
2 years ago
Read 2 more answers
Parallelogram PARL is similar to parallelogram WXYZ. If AP = 7, PL = 15, and WZ = 45, find the value of c.
Angelina_Jolie [31]

Answer:

c = 21

Step-by-step explanation:

<u>**I assume that side WX in my diagram (attached as an image below) is the value of C that we're looking for. ALSO, the sizes and lengths of the parallelograms are NOT to scale.**</u>

If two parallelograms are similar, that means the lengths of the corresponding sides have EQUAL ratios.

PL corresponds with WZ. To get from 15 to 45, you would multiply 15 by 3, so the ratio of the legnths of the corresponding sides between these two parallelograms is 1:3.

With that in mind, we can apply this ratio to find WX.

We know that AP has a length of 7, so we will multiply that by 3, getting a value of 21, and 7:21 ratio is the same as 1:3.

c = 21

Hope this helps (●'◡'●)

7 0
2 years ago
The large Magellanic Cloud is a galaxy that orbits our milky way galaxy at a distance of 1.79 × 10^5 light years. which shows th
Softa [21]
It would be 179,000. You just multiply them together.
8 0
3 years ago
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