May you please help me. Do not Skip this Question. URGENT!

If a and b are real numbers, what property of real numbers is illustrated by the equation below? 4a + 4b = 4(a + b)

Tresset [83]

D. Distributed Property of Multiplication over Addition. Happy Thanksgiving. Hope this helps.

7 0

3 years ago

49.5 is what percent of 33

Nataly_w [17]

$making\ fraction\ and\ multiplying\ by\ 100\%:\\
\frac{49.5}{33}*100\%=\frac{4950}{33}\%=150\%\\\\
49.5\ is\ 150\%\ of\ 33.$

7 0

3 years ago

The number of events is 29, the number of trials is 298, the claimed population proportion is 0.10, and the significance leve

Nina [5.8K]

Answer:

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

$\hat p=\frac{29}{298}=0.0973$ estimated proportion

$p_o=0.1$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion is 0.1 or no.:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

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 $p_o$ .

3) Calculate the statistic

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

$z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155$

4) 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 next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z$

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given $\alpha=0.05$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

7 0

2 years ago

I dont know how to do math 10 factors

pav-90 [236]

Answer:

10= 1 , 2 , 5 and 10

Step-by-step explanation:

Those are the factors of 10

4 0

3 years ago

Please help me for 30 points

myrzilka [38]

Answer: 1D, 2E, 3B, 4A, 5C

Step-by-step explanation:

First, eliminate choices that cannot go together.

The "greater than" and "less than" symbols, represented by > and <, are used to show that a number is greater than another set of numbers, but not equal to the set of numbers.

The "greater than or equal to" and "less than or equal to" symbols, represented by ≥ and ≤, are used to show that a number can also be equal to a set of numbers.

On the number line, open dots are used to represent > and <.

Closed dots are used to represent ≥ and ≤.

Using this, C, D, and E must match with 1, 2, and 5.

Dealing with 3 now:

4m ≥ 32

Divide both sides by 4 to simplify m:

m ≥ 8 - This is used to show that m is greater than or equal to 8.

This lines up with choice B: the line starts at 8 and goes onwards to positive infinity.

This means that 4 matches to A, because it is the only other option with a closed dot.

Looking at 1 (x - 5 < 2), we can simplify it very easily by adding 5 to both sides of the inequality:

x < 7 - This is used to show that x is less than 7.

This lines up with choice D: The line starts at less than 7 and goes downwards to negative infinity.

Looking at 2 (m + 24 > 20), we can do this the same way. Subtract 24 from both sides to get:

m > -4 - This is used to show that m is greater than negative 4.

This lines up with choice E: The line starts at greater than 4 and goes to positive infinity.

The last choice, choice 5, must match with choice C.

6 0

3 years ago