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nasty-shy [4]
3 years ago
9

point a has the coordinates(2,5) point B has the coordinates (6,17) how long is segment ab in simplified radical form

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

4\sqrt{10}

Step-by-step explanation:

We have been given that point A has the coordinates(2,5) point B has the coordinates (6,17).

To find the length of segment AB we will use distance formula.

\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Upon substituting coordinates of point A and point B in distance formula we will get,

\text{Distance between point A and point B}=\sqrt{(6-2)^2+(17-5)^2}

\text{Distance between point A and point B}=\sqrt{(4)^2+(12)^2}

\text{Distance between point A and point B}=\sqrt{16+144}

\text{Distance between point A and point B}=\sqrt{160}

\text{Distance between point A and point B}=4\sqrt{10}

Therefore, the length of segment AB is 4\sqrt{10}.

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Step by step solution :

Step 1 :

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Step 2 :

Pulling out like terms :

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Step-by-step explanation:

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The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.10
Salsk061 [2.6K]

For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

We have to find the answer of many question we solve the question one by one.

From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.

As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

\int\limits^{\infty}_{-\infty} {f(x)} \, dx= 1

This shows that that the total area of under the curve.

(b) We have to find the median.

In the normal distribution mean, median both are same. So the value of median equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

(c) We have to find the mode.

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As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

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The value of variance is equal to the square of standard deviation.

So Variance = (0.1039)^2

Variance = 0.0108

Hence, the value of variance is 0.0108.

To learn more about normally distribution link is here

brainly.com/question/15103234

#SPJ1

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1 year ago
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Answer:

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equation form: x=1,y=7 and x=7,y=1

Step-by-step explanation:

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#2: N/A

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