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3 years ago

which expression represents the distance between the two points x and y on the number line -4 and 3

Mathematics

2 answers:

kotegsom [21]3 years ago

6 0

Answer with explanation:

The two points on the number line are

x = -4

y=3

The distance is a positive Quantity.

So, Distance between x and y can be written as:

=|x-y| or |y-x|

=|3-(-4)| or |-4-3|

=|3+4| or |-7|

=|7| or |-7|

=7 Units

The expression will be : =|x-y| or |y-x|

=|3-(-4)| or |-4-3|

Alika [10]3 years ago

4 0

It would have to be 3 because distance can't be a negative number.

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MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

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3 years ago

Which description does NOT guarantee that a quadrilateral is a rectangle?

grandymaker [24]

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3 years ago

What is x? x + 5 = 9. Pretty easy points to score.

lisabon 2012 [21]

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3 years ago

A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages ar

Elenna [48]

Answer:

We conclude that the mean amount packaged is equal to 8.17 ounces.

Step-by-step explanation:

We are given that in a particular sample of 50 packages, the mean amount dispensed is 8.171 ounces, with a sample standard deviation of 0.052 ounces.

Let $\mu$ = population mean amount packaged.

So, Null Hypothesis, $H_0$ : $\mu$ = 8.17 ounces {means that the mean amount packaged is equal to 8.17 ounces}

Alternate Hypothesis, $H_A$ : $\mu\neq$ 8.17 ounces {means that the mean amount packaged is different from 8.17 ounces}

The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean amount dispensed = 8.171 ounces

s = sample standard deviation = 0.052 ounces

n = sample of packages = 50

So, the test statistics = $\frac{8.171-8.17}{\frac{0.052}{\sqrt{50} } }$ ~ $t_4_9$

= 0.1359

The value of t-test statistics is 0.1359.

Also, the P-value of test-statistics is given by;

the meaning of the p-value is that the p-value is the probability of obtaining a sample mean that is equal to or more extreme than 0.001 ounces away from8.17 if the null hypothesis is true.

P-value = P( $t_4_9$ > 0.136) = More than 40% {from the t-table}

Since the P-value of our test statistics is more than the level of significance of 0.01, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the mean amount packaged is equal to 8.17 ounces.

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3 years ago

Kevin can travel 22 1/2 miles in 1/3 hour .What is the average speed in miles per hour?

Fantom [35]

You can choose to answer this with fractions or decimals. I'll choose fractions because we won't need calculators. 22 1/2 miles "in" 1/3 hour, means 22 1/2 mi divided by 1/3 hour.
22 1/2 = [(22×2) + 1] ÷ 2 = 45/2
So (45/2)mi ÷ (1/3)hr is the same as (45/2) × (3/1), or (45×3)/2 = 135/2, which is 67 1/2, or 67.5 mi/hr (mph).

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3 years ago