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tatiyna
2 years ago
8

What is the value of x in this equation? 5 + x = 13 a. x=13 b.x=18 c. x=7 d. x=8

Mathematics
2 answers:
Ksenya-84 [330]2 years ago
6 0
D
X=8

5+x=13
-5 from both sides
X=8
Scilla [17]2 years ago
4 0
The answer is d. x=8

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One angle of a right triangle measures 65°. What is the measure of the other acute angle?
kvasek [131]

answer:

25°

explanation:

triangle total: 180°

right angle: 90°

90 + 65 = 155

180 - 155 = 25

hope this helped!

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3 years ago
Mary leaves her house to take a walk. The graph shows the distance, d, in feet from
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D. 35, since that would be the longest amount. of time walking away from her house, she should be the farthest amount of feet away from her house
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Use what you know about sine, cosine, and tangent to solve for the missing angle.
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Answer:

it is a 30 degree angle

Step-by-step explanation:

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2 years ago
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What is true about the figure? In the figure, angles C and D are a Therefore angle C must measure ​
Nuetrik [128]

Answer

In the figure, angles C and D are a  

✔ linear pair

Therefore, angle C must measure  

✔ 56°

Step-by-step explanation:

3 0
3 years ago
Suppose that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage
Zigmanuir [339]

Answer:

We conclude that the percentage of blue candies is equal to 29​%.

Step-by-step explanation:

We are given that in a random selection of 100 colored​ candies, 28​% of them are blue. The candy company claims that the percentage of blue candies is equal to 29​%.

Let p = <u><em>population percentage of blue candies</em></u>

So, Null Hypothesis, H_0 : p = 29%     {means that the percentage of blue candies is equal to 29​%}

Alternate Hypothesis, H_A : p \neq 29%     {means that the percentage of blue candies is different from 29​%}

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

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

where, \hat p = sample proportion of blue coloured candies = 28%

           n = sample of colored​ candies = 100

So, <u><em>the test statistics</em></u> =  \frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }

                                    =  -0.22

The value of the z-test statistics is -0.22.

<u>Also, the P-value of the test statistics is given by;</u>

               P-value = P(Z < -0.22) = 1 - P(Z \leq 0.22)

                            = 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, <u><em>so we insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29​%.

4 0
3 years ago
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