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2 years ago

Find the midpoint M of the line segment joining thee Point S =(6,-7) and I =(-8,3)

1 answer:

7 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ S(\stackrel{x_1}{6}~,~\stackrel{y_1}{-7})\qquad I(\stackrel{x_2}{-8}~,~\stackrel{y_2}{3}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{-8+6}{2}~~,~~\cfrac{3-7}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{-4}{2} \right)\implies (-1~,~-2)$

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Choose the graph below that represents the solution to the system of equations

nasty-shy [4]

Answer:

<h2>The solution is (1, 5)</h2>

Step-by-step explanation:

Here two equation of straight lines are given.

Two equations can intersect each other at a point.

The given equations are,

$y = 3x + 2$
$10x + 2y = 20\\ 5x + y = 10\\y = 10 - 5x$

Equating both 1 and 2 we get,

$10 - 5x = 3x + 2\\8x = 8\\x = 1$

Hence, from 1 we get, $y = 3+2 = 5$

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3 years ago

A pizza parlor offers thin,thick,and traditional style pizza crust.You can get pepperoni,beef,mushrooms, olives,or peppers. You

WITCHER [35]

You need to understand the different kinds of categories in order to solve this problem.

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2 years ago

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MrRissso [65]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month. Assume

Ira Lisetskai [31]

Answer:

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

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.

According to a report from a business intelligence company, smartphone owners are using an average of 22 apps per month.

This means that $\mu = 22$

Standard deviation is 4:

This means that $\sigma = 4$

Sample of 36:

This means that $n = 36, s = \frac{4}{sqrt{36}}$

What is the probability that the sample mean is between 21 and 22?

This is the p-value of Z when X = 22 subtracted by the p-value of Z when X = 21.

X = 22

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

By the Central Limit Theorem

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

$Z = \frac{22 - 22}{\frac{4}{sqrt{36}}}$

$Z = 0$

$Z = 0$ has a p-value of 0.5.

X = 21

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

$Z = \frac{21 - 22}{\frac{4}{sqrt{36}}}$

$Z = -1.5$

$Z = -1.5$ has a p-value of 0.0668.

0.5 - 0.0668 = 0.4332

0.4332 = 43.32% probability that the sample mean is between 21 and 22.

4 0

2 years ago

the number of pages in US tax code exceeds the number of pages in the king James version by 18528. the combined number of pages

Nataly_w [17]

Assuming "King James version" is "the Bible", your answer would be 2,944

Since the combined number is $21,472$ and the amount the tax code that exceeds the King James version is $18,528$ . You would subtract $18,528$ from $21,472$ to get your answer, 2,944.

3 0

3 years ago

Find the midpoint M of the line segment joining thee Point S =(6,-7) and I =(-8,3)​

Find the midpoint M of the line segment joining thee Point S =(6,-7) and I =(-8,3)