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3 years ago

11

A set of angles has a ratio of 5 to 2. If the larger angle is 105 degrees then what is the measure of the smaller angle?

1 answer:

Bond [772]3 years ago

3 0

Answer:

5:2

5:105

2:x

=105*2=5x

=210/5x

=smaller angle is euqals to 42 degree's

Step-by-step explanation:

we first note down the ratio

since we given the degree of the larger ratio we write 5 is equal to 105 and 2 is equals to x. we looking for x which is the degree of the smaller angle

after that we cross multiple, when we cross multiple therefore it gives us 105 multiplied by 2 and 5 multiplied x

it will give us 210 and 5x remember we a looking for the value of x

in order for us to remain juss x we divide 210 by 5x

it will give us x= 42

remember x here represent the value of the smaller angle

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Suppose that a market research firm is hired to estimate the percent of adults living in a large city who have cell phones. 500

Alborosie

Answer:

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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In which

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For this problem, we have that:

$n = 500, \pi = \frac{421}{500} = 0.842$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

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The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.842 + 1.96\sqrt{\frac{0.842*0.158}{500}} = 0.874$

The 95% confidence interval estimate for the true proportion of adults residents of this city who have cell phones is (0.81, 0.874).

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3 years ago

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Marina86 [1]

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Step-by-step explanation:

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Roman55 [17]

Answer:

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Step-by-step explanation:

Charges for coming to my house = $68 (this will be the constant of the equation)

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The equation that represents this situation can be expressed as:

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alina1380 [7]

Answer:

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Step-by-step explanation:

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Answer:

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