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3 years ago

Tell which property the statement illustrates 5•p=p•5

Mathematics

1 answer:

slamgirl [31]3 years ago

5 0

The property illustrated in the given statement 5.p = p.5 is commutative property.

<u>Solution:</u>

We have been given an equation as follows:

5.p = p.5

And we have been asked to find the property this statement illustrates.

The answer to the question is, the statement illustrates commutative property.

The commutative property in math comes from the words "commute" or "move around." This rule states that you can move numbers or variables in algebra around and still get the same answer.

Which satisfies the given statement.

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Part A: Suppose Jackson hiked due north on the first trail, and due east on the second trail. Show that the magnitude of the res

kotegsom [21]

Answer:

A) √((distance travelled due north)²+(distance travelled due east)²)

B) distance from starting point

C) Yes due west

Step-by-step explanation:

A) According to pythagoras theorem

resultant vector= √((distance travelled due north)²+(distance travelled due east)²)

Also see 1st attachment

B) The resultant vector tells the distance from the starting point

C) The same amount of distance travelled in opposite direction that is westwards will give same magnitude of resutlant vector.

See 2nd attachment

8 0

3 years ago

What’s the slope?? Please help!

9966 [12]

Answer:

I believe the slope of the line is 5

Step-by-step explanation:

5 + 5 = 10

10 + 5 + 15

15 + 5 = 20

Hope this helps :)

4 0

3 years ago

Read 2 more answers

What is micro computer and its fuctionality?

kramer

a small computer that contains a microprocessor as its central processor.

Microcomputer, an electronic device with a microprocessor as its central processing unit (CPU). Microcomputer was formerly a commonly used term for personal computers, particularly any of a class of small digital computers whose CPU is contained on a single integrated semiconductor chip.

7 0

3 years ago

A textbook store sold a combined total of 438 biology and psychology textbooks in a week. The number of psychology textbooks sol

Liono4ka [1.6K]

<h2>Answer:</h2>

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold: 181 textbooks

<h2>Explanations:</h2>

Let the total number of biology textbook sold be "a"

Let the total number of psychology textbook sold be "b"

If a textbook store sold a combined total of 438 biology and psychology textbooks in a week, then:

a + b = 438 ................... 1

If the number of psychology textbooks sold was 76 less than the number of biology textbooks sold, then;

b = a - 76 ...................... 2

Substitute equation 2 into 1

a + (a-76) = 438

a + a - 76 = 438

2a = 438 + 76

2a = 514

a = 514/2

a = 257 biology textbooks

From equation 2;

b = a - 76

b = 257 - 76

b = 181 psychology textbooks

Number of biology textbooks sold: 257 textbooks

Number of psychology textbooks sold: 181 textbooks

7 0

1 year ago

According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bother

k0ka [10]

Answer:

$z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124$

$p_v =P(z>7.124)=5.24x10^{-13}$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is significantly higher than 0.5.

Step-by-step explanation:

Data given and notation

n=502 represent the random sample taken

X=331 represent the adults that said they would not be bothered if the NAtional security agency

$\hat p=\frac{331}{502}=0.659$ estimated proportion of people who would not be bothered if the NAtional security agency

$p_o=0.5$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than the majority of 0.5:

Null hypothesis: $p\leq 0.5$

Alternative hypothesis: $p > 0.5$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>7.124)=5.24x10^{-13}$

4 0

3 years ago