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posledela
4 years ago
8

Given parallelogram E F G H with diagonals that intersect at point J comma segment E J is congruent to which segment?

Mathematics
1 answer:
guapka [62]4 years ago
5 0

Answer:

Given: A parallelogram EFGH in which diagonals intersect at point J.

To Find: A segment congruent to EJ.

Solution: In parallelogram EFGH

    Point of intersection of Diagonals EG and FH are point J.

As we know diagonals of parallelogram bisect each other.

So, EJ=JG and FJ=JH

∵ Solution is EJ≅ JG




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Determine mu Subscript x overbar and sigma Subscript x overbar from the given parameters of the population and sample size. mu e
Mademuasel [1]

Answer:

\bar x \sim N(\mu_{\bar x}=86, \sigma_{\bar x}=3)

Step-by-step explanation:

Previous concepts

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".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".  

Solution to the problem

Let X the random variable who represents the variable of interest. We know from the problem that the distribution for the random variable X is given by:

X\sim N(\mu =86,\sigma =24)  

We select a sample of size n=64. That represent the sample size.  

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:  

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})  

The mean for the sample distirbution would be given by:

\mu_{\bar x}=86

And the deviation given by:

\sigma_{\bar x} =\frac{24}{\sqrt{64}}=3

And then the distribution for the sample mean is:

\bar x \sim N(\mu_{\bar x}=86, \sigma_{\bar x}=3)

7 0
3 years ago
The hypotenuse of a right triangle is 95 inches long. One leg is 4 inch(es) longer than the other. Find the lengths of the legs
diamong [38]

Answer:

65.1 and 69.1

Step-by-step explanation:

a^2+b^2=c^2

c=95

b=a+4

Solve for a^2+(a+4)^2=95^2

a=65.1

b=a+4=69.1

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3 years ago
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Find the least number with factors 11, 23, and 37.
stich3 [128]

23,11,37

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3 years ago
Whats the correct answer?
tekilochka [14]

Answer:

5 m ........... . . ...........

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3 years ago
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A gem is cut in a kite shape. It is 6.2 millimeters wide at its widest point & 5 millimeters long. What is the area?
arlik [135]

Answer: 15.5\ mm^2

Step-by-step explanation:

You can calculate the area of a kite with the following formula:

A=\frac{d_1d_2 }{2}

Where d_1 is the length of a diagonal and d_2 is the length of the other diagonal.

In this case, you can identify that:

d_1=6.2\ mm\\d_2=5\ mm

Therefore, the final step is to substitute the values into the formula.

Then, the area is:

 A=\frac{(6.2\ mm)(5\ mm)}{2}\\\\A=15.5\ mm^2

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3 years ago
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