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Leona [35]
4 years ago
9

What is the value for y? Enter your answer in the box. y =

Mathematics
1 answer:
MArishka [77]4 years ago
8 0

The given triangle has two sides marked equal and hence is an isosceles triangle.In isosceles triangle base angles are equal <A=<B=50.

Sum of angles in any triangle is 180 degrees.

<A+<B+<C=180°

50+50+5y+10=180

Adding like terms :

110+5y=180

Subtracting 110 on both sides:

5y=70

Dividing both sides by 5:

y=14.

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100 + 10x=15x. Subtract 10x from both sides. 100=5x. Divide by 5 on both sides. x=20. So you would need to buy 20 movies. 
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Freemont Run Club surveyed a random sample of 303030 of their members about their running habits. Of the members surveyed, 999 s
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Step-by-step explanation:

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3 years ago
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d
NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

  Null Hypothesis, H_0 : \sigma = \sqrt{0.003}

Alternate Hypothesis, H_1 : \sigma > \sqrt{0.003}

The test statistics used here for testing variance is;

          T.S. = \frac{(n-1)s^{2} }{\sigma^{2} } ~ \chi^{2}__n_-_1

where, s = sample standard deviation = 0.06

           n = sample size = 26 cans

So, Test statistics = \frac{(26-1)0.06^{2} }{0.003 } ~ \chi^{2}__2_5

                            = 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

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3 years ago
Question 6 of 10
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B and C; as the y intercept increases/decreases, the graph of the line shifts up/down.

The y intercept is where the function crosses the y-axis. If the y intercept moves either up or down, the whole function will be translated up/down vertically along the y-axis.
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2 years ago
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