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3 years ago

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Two angles are supplementary.(They total 180°) One angle measures 3 times the other angle. Find the measure of both angles. The

perimeter of a rectangle is 48 inches. The length is 4 more inches than the width. Find the length and the width

1 answer:

bezimeni [28]3 years ago

7 0

The smaller angle for the first problem is 45, the larger angle is 135. For the second problem, the length is 14, the width is 10.

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Umnica [9.8K]

Answer:

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3 years ago

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A random sample of 64 students at a university showed an average age of 20 years and a sample standard deviation of 4 years. The

adelina 88 [10]

Answer:

The 90% confidence level is $19.15< L < 20.85$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 64$

The mean age is $\= x = 20 \ years$

The standard deviation is $\sigma = 4 \ years$

Generally the degree of freedom for this data set is mathematically represented as

$df = n - 1$

substituting values

$df = 64 - 1$

$df = 63$

Given that the level of confidence is 90% the significance level is mathematically evaluated as

$\alpha = 100 - 90$

$\alpha =$ 10 %

$\alpha = 0.10$

Now $\frac{\alpha }{2} = \frac{0.10}{2} = 0.05$

Since we are considering a on tail experiment

The critical value for half of this significance level at the calculated degree of freedom is obtained from the critical value table as

$t_{df, \frac{ \alpha}{2} } = t_{63, 0.05 } = 1.669$

The margin for error is mathematically represented as

$MOE = t_{df , \frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

substituting values

$MOE = 1.699 * \frac{4 }{\sqrt{64} }$

$MOE = 0.85$

he 90% confidence interval for the true average age of all students in the university is evaluated as follows

$\= x - MOE < L < \= x + E$

substituting values

$20 - 0. 85 < L < 20 + 0.85$

$19.15< L < 20.85$

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3 years ago

Ugo [173]

The correct answer is A) g≥5

This is because when you look at an absolute value function, the constant at the end is the y value of the vertex. Since it is an absolute value equation, we know that the values can only go up. Therefore, it must be greater than or equal to the constant at the end (5)

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4 years ago

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Aloiza [94]

Answer:

the answer is g and here's what it says you earned $35 mowing lawns this was a tax dollars more than you earn on Thursday so that would be x + 35

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3 years ago

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Is ABC=XYZ? PLEASE HELP!!

statuscvo [17]

Yes ur correct
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3 years ago