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3 years ago

Which property justifies this statement?

Mathematics

2 answers:

Katen [24]3 years ago

5 0

I know its not division,addition,multiplication,with the process of elimination its reflexive

pashok25 [27]3 years ago

5 0

Answer with Step-by-step explanation:

The Reflexive property states that for every real number x, x=x

Division property states that if a=b and we divide it by any non zero number c then also a/c=b/c

Multiplication property states that if a=b and we multiply it by any number c then also ac=bc

Addition property states that if a=b and we add it by any number c then also a+c=b+c

We are given that x= -6

Adding both sides by 6

⇒ x+6=0

Hence, it justifies the addition property.

Hence, correct option is:

D, Addition

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Information about the proportion of a sample that agrees with a certain statement is given below. Use StatKey or other technolog

lara31 [8.8K]

Answer:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

Step-by-step explanation:

Notation and definitions

$X=35$ number of people that agree.

$n=100$ random sample taken

$\hat p=\frac{35}{100}=0.35$ estimated proportion of people that agree

$p$ true population proportion of peopl that agree

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

The standard error is given by:

$SE=\sqrt{\frac{\hat p (1-\hat p)}{n}}=\sqrt{\frac{0.35 (1-0.35)}{100}}=0.048$

If we replace the values obtained we got:

$0.35 - 1.96\sqrt{\frac{0.35(1-0.35)}{100}}=0.257$

$0.42 + 1.96\sqrt{\frac{0.42(1-0.42)}{150}}=0.443$

The 95% confidence interval would be given by (0.257;0.443)

6 0

3 years ago

Read 2 more answers

Solve the following: a) 4x-1 / 2= x+7 b) 3x + 2 = 2x + 13 /3

11Alexandr11 [23.1K]

Answer:

a) 2.5

b)2.33

Step-by-step explanation:

$4x-\frac{1}{2}= x+7$

Bring the numerals to the right hand side and the x terms to the left hand side

$4x-x=7+\frac{1}{2}$

Simplify

$3x=\frac{15}{2}$

Divide 3 on both sides, to get x

$x=\frac{5}{2} =2.5$

$3x+2=2x+\frac{13}{3}$

Bring the numerals to the right hand side and the x terms to the left hand side

$3x-2x=\frac{13}{3}-2$

Simplify

$x=\frac{7}{3} =2.33$

5 0

3 years ago

Sinplify this expression -3(10x+4y)+6(6x-2y)

ad-work [718]

Answer:

6x-24y

Step-by-step explanation:

Step 1: -30x-12y+36x-12y

Distribute-3 to 10x and 4y

Then distribute 6 to 6x and -2y

Step 2: 6x-24y

After that add up like terms

3 0

3 years ago

What is the answer to thiss

lana [24]

Hi Student!

This question is fairly simple because it gives us an equation and they also give us a value for the variable that is within the equation and they tell us evaluate the expression. So let's plug in the values and solve.

Plug in the values