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3 years ago

I need the answer and if you would please explain step by step

Mathematics

1 answer:

emmasim [6.3K]3 years ago

3 0

Answer:

x=17

Step-by-step explanation:

well the triangles are congruent so that equation has to equal 61, so set it equal to 61, once you do that subtract 10 with 61 giving you 51, then divide 3 with 51 and you get 17

$3x + 10 = 61 \\ 3x = 51 \\ x = 17$

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3 years ago

Help please on this math problem: The prices of backpacks at a store are 22, 16, 39, 35, 19, 34, 20, and 26. Find the Mean Absol

Ivanshal [37]

Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)

========================================================

Explanation:

Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}

Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375

The mean is 26.375

Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative

|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375

Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875

The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.

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4 years ago

Your medical research team is investigating the standard deviation of the cost of a 30-day-supply of a certain heart medication.

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The alternative hypothesis is $H_1: \sigma < 23$

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:

$H_0: \sigma \geq 23$

At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:

$H_1: \sigma < 23$

More can be learned about an hypothesis test at brainly.com/question/26454209

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2 years ago

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3 years ago

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Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

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3 years ago