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LiRa [457]
3 years ago
5

What is the value of x

Mathematics
1 answer:
Goryan [66]3 years ago
5 0

Answer:

20

Step-by-step explanation:

Those angles are the same so you can put them in an equation like this:

x + 60 = 4x

Then you subtract x from both sides to get variables on one side and constants on the other:

60 = 3x

Now divide by three to find what just x is:

20 = x

And there you go <3

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The heights of men in a survey are distributed normally about the mean.
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It should be 34inch okay
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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below
jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men  n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} }  } }

Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2}  }{25 }+\frac{ (10)^{2}  }{ 30}  } }

Z =  \frac{-10}{2.081} = - 4.805

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

7 0
3 years ago
You deposit $500 into a savings account that earns 3.2% annual interest. How much is in the savings account after 10 years?
Brilliant_brown [7]
A = P(1 +r/n)^nt
P = 500
r = 3.2% = 0.032
n = 1
t = 10

A = 500(1 + 0.032)^10
A = $685.12
7 0
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At Summer camp, 62 percent of the campers decide they want to go swimming instead of hiking. If there are 200 kids at the camp,
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Answer:

124

Step-by-step explanation:

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3 years ago
Devon and Roy volunteer at a community farm. On Tuesday, they were each given the same number of tomato seeds to plant, but Roy
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Answer:

Roy

Step-by-step explanation:

If Roy finished first the first time then he is faster at planting the seeds.

I don't know if this is correct but I think it is.

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