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3 years ago

What can be concluded if ABC and CBD are a linear pair?

1 answer:

3 0

A linear pair mean that the angles are adjacent (side by side) to each other and that they are supplementary (sum of their angles is 180 degrees). Thus, the angles should form a straight angle or an angle with a measure of 180 degrees.

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Given the function below, identify the statements that are correct: *

Aloiza [94]

3 , 4 and 6 are not correct

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3 years ago

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o

Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that $\mu = 2.5, \sigma = 0.2$

Sample of 41

This means that $n = 41, s = \frac{0.2}{\sqrt{41}}$

Find the probability that the mean of the sample taken is less than 2.2 feet.

This is the p-value of Z when X = 2.2 So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}$

$Z = -9.6$

$Z = -9.6$ has a p-value of 0.

0% probability that the mean of the sample taken is less than 2.2 feet.

6 0

3 years ago

The table and equation below show the proportional relationship between time, in seconds, x, and distance traveled, in feet, y,

yarga [219]

Answer:

Step-by-step explanation:

8 0

2 years ago

if x/b-c=y/c-a=z/a-b, prove that x+y+x=0.please help me ... this is my homework. I will follow you plz . anyone.

irinina [24]

Answer:

.......... I Got You <3

Hope you can read it

4 0

2 years ago

The line through (-1/2, -7/2) and (2, 14) in slope intercept form??

icang [17]

To find the equation of a line in slope-intercept form given two points, we must arrange the points this way to find the slope ( $m$ ):

$m = \frac{y_{2}-y _{1}}{x_{2}-x_{1}}$

We can replace the variables in this equation with the values from the points we have been given, ( $\frac{-1}{2}, \frac{-7}{2}$ ) and (2, 14). We know that the x-values always come first in an ordered pair, so we can put those in our equation first.
It doesn't really matter which x-value goes in which x-value slot in the equation as long as you match up the y-values in the same fashion. But for the sake of convenience, we will call the 2 in the second ordered pair $x_{2}$ and the $\frac{-1}{2}$ in the first ordered pair $x_{1}$ .
Now, we can match these values in our equation, and while we're at it, we can substitute the appropriate y-values into their places as well.

$m = \frac{y_{2}-y _{1}}{x_{2}-x_{1}}$

$m = \frac{14 - \frac{-7}{2} }{2 - \frac{-1}{2} }$

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

$m = \frac{14 + \frac{7}{2} }{2 + \frac{1}{2} }$

and we can change the improper fraction in the numerator into a mixed number for ease of addition.

$m = \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }$

And here, we can add, since it's made simple for us.

$m = \frac{17 \frac{1}{2} }{2 \frac{1}{2} }$

Finally, to get the slope we can complete the fraction by dividing.

$17.5 ÷ 2.5 = 7$

The slope of this equation, $m$ , is 7, and so far, our equation looks like this:

$y = 7m + b$

Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

$y = 7x + b$

Let us substitute in our values.

$14=7(2)+b$

Now, we can solve by multiplying the 7 and 2.

$14=14+b$

Here, we can subtract 14 from both sides, since it is added to both in the equation, and we are left with

$0 = b$

which can be flipped around to show

$b=0$

The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

$y=7x+0$

Or, for neatness' sake, we can just say

$y=7x$

which is your final equation.

The line through ( $\frac{-1}{2}, \frac{-7}{2}$ ) and (2, 14) in slope-intercept form is <span> $y=7x$ .
Hope that helped! =) </span>

7 0

3 years ago