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2 years ago

Compute 5e2 - 4g + 7 where e = 4 and g = 6 ?

Mathematics

1 answer:

Elza [17]2 years ago

3 0

The value of expression is 63 when e = 4 and g = 6

Solution:

Given expression is:

$5e^2-4g+7$

We have to solve the expression

Given that e = 4 and g = 6

Substitute e = 4 and g = 6 in given expression

$\rightarrow 5(4)^2 -4(6) + 7\\\\Simplify\ the\ above\ equation\\\\\rightarrow 5(16) -24 + 7\\\\\rightarrow 80-24+7\\\\Simplify\\\\\rightarrow 56+7=63$

Thus value of expression is 63

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Barron's reported that the average number of weeks an individual is unemployed is 17.5 weeks. Assume that for the population of

Olin [163]

Answer:

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:

$X \sim N(17.5,4)$

Where $\mu=17.5$ and $\sigma=4$

Since the distribution for X is normal then, the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu= 17.5, \frac{\sigma}{\sqrt{n}}= \frac{4}{\sqrt{50}}=0.566)$

We select a sample of n =50 people. And we want to find the following probability

$P(16.5$

And using the normal standard table or excel we find the probability:

$P(-1.768< Z< 1.768) = P(Z$

4 0

3 years ago

The endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).the center of the circle is at the point , and its rad

Furkat [3]

The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C = $(\frac{4+4}{2}, \frac{5.5+10.5}{2})$
C = ( 4, 8 ), h=4, k=8
r = $\sqrt{(4-4)^{2} +(8-5.5)^{2} } = \sqrt{0+2.5^{2} }$
r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
( x - 4 )² + ( y - 8 ) = 6.25

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Answer:

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Step-by-step explanation:

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