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2 years ago

Which statements are true? Check all that apply.

Mathematics

2 answers:

AlladinOne [14]2 years ago

5 0

Answer:

-The line that goes through the points (3,7) and (–2,7) is a horizontal line.

-The equation x = –8 is a vertical line that goes through the point (–8,3).

-The line that goes through the points (0,5) and (0,–7) is a vertical line.

Step-by-step explanation:

-The line that goes through the points (3,7) and (–2,7) is a horizontal line.

The equation of this line is y = 7

-The equation x = –8 is a vertical line that goes through the point (–8,3).

The equation of this line is x = -8

-The line that goes through the points (0,5) and (0,–7) is a vertical line.

The equation of this line is x = 0

-The points on a horizontal line have the same x-coordinate.

Same x-coordinate is on a vertical line, not horizontal

mariarad [96]2 years ago

4 0

Answer:

A, B, and C

Step-by-step explanation:

A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = $\frac{7-7}{3-(-2)} =\frac{0}{5} =0$ . Thus, this is a horizontal line and the statement is correct.

B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.

Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.

C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = $\frac{5-(-7)}{0-0} =\frac{12}{0}$ = undefined. So, this is a vertical line and the statement is true.

D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.

So, the answers are A, B, and C.

Hope this helps!

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laiz [17]

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2 years ago

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Of 360 consumers polled some purchased ice cream some purchase frozen yogurt and some purchased both if 260 people polled purcha

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Total customers are = 360

Number of polled people who purchased ice cream = 260

Number of polled people who purchased both ice cream and yogurt = 250

Hence, people who purchased only ice cream are= $260-250=10$

And $360-10=350$ are people who purchased yogurt.

So, people who purchased yogurt only = $360-(250+10)=100$

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2 years ago

A manager at a local manufacturing company has been monitoring the output of one of the machines used to manufacture chromium sh

denpristay [2]

Answer:

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

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 estabilishes 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.

Normally distributed with a mean of 118 centimeters and a standard deviation of 8 centimeters.

This means that $\mu = 118, \sigma = 8$

Sample of 16 shells

This means that $n = 16, s = \frac{8}{\sqrt{16}} = 2$

What is the probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly?"

This is the pvalue of Z when X = 120 subtracted by the pvalue of Z when X = 116.

X = 120

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

By the Central Limit Theorem

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

$Z = \frac{120 - 118}{2}$

$Z = 1$

$Z = 1$ has a pvalue of 0.841

X = 116

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

$Z = \frac{116 - 118}{2}$

$Z = -1$

$Z = -1$ has a pvalue of 0.159

0.841 - 0.159 = 0.682

0.682 = 68.2% probability that the average length of these 16 shells will be between 116 and 120 centimeters when the machine is operating "properly".

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2 years ago

The arena wants to estimate the previous two month’s ticket-sale income. In total, 71,115 people attended different events at th

AveGali [126]

Hey there,
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Total ticket income= 71,115 x 21.15
= 1,504,082.25 pounds

Hope this helps :))

~Top

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2 years ago

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den301095 [7]

Answer:

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