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2 years ago

(HELP ME ASAP PLEASE) In the following diagram, A || B.

Mathematics

1 answer:

vladimir1956 [14]2 years ago

7 0

Answer:

m<6=77°

Step-by-step explanation:

Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that

3x+5°+4x+7°=180°

7x+12°=180°

7x=168°

x=24°

Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:

<6=24*3+5

<6=77°

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Step-by-step explanation:
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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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Ede4ka [16]

Answer:

1) The mean calculated for this case is $\bar X=61.5$

2) $61.5-5.4=56.1$

3) $61.5+5.4=66.9$

4) B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part 1

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (a)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (b)

The mean calculated for this case is $\bar X=61.5$

The sample deviation calculated $s=5.143$

$\mu$ population mean (variable of interest)

n=6 represent the sample size

Part 2

The confidence interval for the mean is given by the following formula:

$\bar X \pm ME$ (1)

So if we have the margin of error 5.4mm we can find the lowr limit like this:

$61.5-5.4=56.1$

Part 3

$61.5+5.4=66.9$

Part 4

B. An interval estimate gives us a sense of the accuracy of the point estimate whereas a point estimate alone does not.

Because with the confidence interval we know the confidence level of the interval, and the limits for the parameter at some significance level.

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3 years ago

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blagie [28]

Hello !

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2 years ago

John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What i

pochemuha

Answer:

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

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