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3 years ago

Find the measure of angle A

Mathematics

1 answer:

Airida [17]3 years ago

3 0

Answer:

<h2><u><em>60° is your answer</em></u></h2>

Step-by-step explanation:

the sum of the interior angles of a triangle is 180°

180 - 70 = 110

110 = 12x + 2 + 15x

108 = 27x

108 : 27 = 4°

4 * 15 = 60° is your answer

check

15 * 4 + 12 * 4 + 2 + 70 = 180

60 + 48 + 72 = 180

the answer is good

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A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores

KengaRu [80]

Answer:

The 95% confidence interval for the difference of means is (7.67, 16.33).

The estimate is Md = 12.

The standard error is sM_d = 2.176.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1 (this year's sales), of size n1=36 has a mean of 53 and a standard deviation of 12.

The sample 2 (last year's sales), of size n2=49 has a mean of 41 and a standard deviation of 6.

The difference between sample means is Md=12.

$M_d=M_1-M_2=53-41=12$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{36}+\dfrac{6^2}{49}}\\\\\\s_{M_d}=\sqrt{4+0.735}=\sqrt{4.735}=2.176$

The degrees of freedom are:

$df=n_1+n_2-1=36+49-2=83$

The critical t-value for a 95% confidence interval and 83 degrees of fredom is t=1.989.

The margin of error (MOE) can be calculated as:

$MOE=t \cdot s_{M_d}=1.989 \cdot 2.176=4.328$

Then, the lower and upper bounds of the confidence interval are:

$LL=M_d-t \cdot s_{M_d} = 12-4.328=7.67\\\\UL=M_d+t \cdot s_{M_d} = 12+4.328=16.33$

The 95% confidence interval for the difference of means is (7.67, 16.33).

7 0

3 years ago

I need help with this question

PtichkaEL [24]

Answer:A

Step-by-step explanation: because there is an association with the child’s hight and age so the answer is A ( plus I have did this before and got it wrong and the actual Answer was A when I picked B

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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