All categories

2 years ago

HELP

Mathematics

2 answers:

yaroslaw [1]2 years ago

5 0

8x + 1 = 1; Step 2: 8x = 0

8x − 9 = 1; Step 2: 8x = 10

15x − 20 = 1; Step 2: 15x = 21

15x − 4 = 1; Step 2: 15x = 5

C, Sorry i'm kinda late...

ozzi2 years ago

3 0

9514 1404 393

Answer:

Step-by-step explanation:

The first step is to eliminate the parentheses, using the distributive property.

5(3x − 4) = 1

15x -20 = 1

The second step is to add 20 to both sides of the equation.

15x = 21

This pair of steps is shown in the 3rd choice.

_____

<em>Comment on the answers</em>

The distributive property seems to be applied incorrectly a lot of the time. Here, you can choose the correct answer by looking at the result of properly applying the distributive property: 5(3x-4) = 15x-20. Only the correct choice has this as the first step.

You might be interested in

Rafael counted a total of 40 white cars and yellow.There were 9 times as many white cars as yellow cars how many white cars did

Naily [24]

Well 9x40 would be the solution, so what is 9x40? That will be your answer.

6 0

2 years ago

Large Reusable bottles cost four dollars more than small ones eat large bottles cost $24 less than small ones how much does one

madam [21]

Answer:

$20

Step-by-step explanation:

The large ones cost $4 more so what you would do is to subtract that $4 from the $24.

24-4=20

7 0

2 years ago

A hospital employees a total of 77 nurses and doctors the ratio of nurses to doctors is 92 how many nurses are employed at the h

IgorLugansk [536]

I think if I done it right 15 I hope it helps

4 0

3 years ago

Graph the line, two points to graph Y=4/3x-y

defon

I hope this helps u
And others if ur searching for

4 0

2 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)"

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