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2 years ago

6

Which equation shoes how the properties of numbers extend to negative whole numbers by commutative property of addition A) -2+4=

4+(-2) B)-2(4)=4(-2). C) (-2+4)+3=-2+(4+3. D)-2(4+3)=(2×4)+(-2×3)

1 answer:

Vaselesa [24]2 years ago

7 0

In option A the order of the two numbers being added changes. That is what the commutative property is, so the answer is A.

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explain how multiplying a whole number and a decimal is similar to and different from multiplying whole numbers

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It's similar because u still with have an answer weather its a decimal or not. And it's different because when your multiplying whole number u will just get whole numbers.

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2 years ago

One of his greatest contributions to the Persian Empire was the way he promoted tolerance for all __________throughout the empir

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One of his greatest contributions to the Persian Empire was the way he promoted tolerance for all religions throughout the empire. The Persians left great legacies to humanity such as the construction of the first canal, the postal system, and the creation of large gardens in temples and cities and the tradition of carpets that are used today in homes around the world, besides his great tolerance to different cultures and religions.

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3 years ago

A box contains 10 balls, of which 3 are red, 2 are yellow, and 5 are blue. Five balls are randomly selected with replacement. Ca

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Answer:

The required probability is 0.1.

Step-by-step explanation:

red balls = 3

yellow balls = 2

blue balls = 5

Selected balls = 5

Number of elemnets in sample space = 10 C 5 = 1260

Ways to choose 1 red ball and 4 other colours = (3 C 1 ) x (7 C 4) = 105

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So, the probability is

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2 years ago

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Leokris [45]

Answer:

We conclude that the board's length is equal to 2564.0 millimeters.

Step-by-step explanation:

We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.

Let $\mu$ = <u><em>population mean length of the board</em></u>.

So, Null Hypothesis, $H_0$ : $\mu$ = 2564.0 millimeters {means that the board's length is equal to 2564.0 millimeters}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ 2564.0 millimeters {means that the boards are either too long or too short}

The test statistics that will be used here is <u>One-sample t-test statistics</u> 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 length of boards = 2559.5 millimeters

s = sample standard deviation = 15.0 millimeters

n = sample of boards = 26

So, <em><u>the test statistics</u></em> = $\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }$ ~ $t_2_5$

= -1.529

The value of t-test statistics is -1.529.

Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of t, so <u><em>we have insufficient evidence to reject our null hypothesis</em></u> as it will not fall in the rejection region.

Therefore, we conclude that the board's length is equal to 2564.0 millimeters.

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Answer:

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Step-by-step explanation:

hope it helps

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2 years ago

Read 2 more answers