What is the value of x?

Simplify the expression 9+2(8+10v-7v)

Elena-2011 [213]

Answer:

25 + 6v

Step-by-step explanation:

Simplify the parentheses:

9 + 2(8 + 3v)

Distribute:

9 + 16 + 6v

Combine like terms

25 + 6v

4 0

3 years ago

Read 2 more answers

20 Points please help!! Solve each equation below, show your work! x^3 = -125

Greeley [361]

X^3 = (-5)^3
the answer is x=5

5 0

3 years ago

Read 2 more answers

Dan has $3.75. If he spends 1/3 of his money, how much will he have left? HELLPP

qwelly [4]

Dan spends:
$3.75 * 1/3 = $1.25
$3.75 - $1.25 = $2.50
Answer:
He will have $2.50

4 0

4 years ago

Read 2 more answers

1, 1, 2, 3, 5, 8, 13, 21, ___Justin loves solving number patterns. He completes one pattern every moring while he eats his cerea

kati45 [8]

Answer:

The correct option is A

The missing number is 34

Explanation:

By inspection, the third number is obtained by adding the two preceding numbers.

1 + 1 = 2

The next number is obtained by adding the two preceding numbers.

2 + 1 = 3

This continues as:

3 + 2 = 5

8 + 5 = 13

13 + 8 = 21

21 + 13 = 34

8 0

1 year ago

in a program designed to help patients stop smoking 232 patients were given sustained care and 84.9% of them were no longer smok

grandymaker [24]

Answer:

$z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869$

$p_v =2*P(Z>1.869)=0.0616$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ 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 adults were no longer smoking after one month is not significantly different from 0.8 or 80% .

Step-by-step explanation:

1) Data given and notation

n=232 represent the random sample taken

X represent the adults were no longer smoking after one month

$\hat p=0.849$ estimated proportion of adults were no longer smoking after one month

$p_o=0.80$ 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 true proportion is 0.8.:

Null hypothesis: $p=0.8$

Alternative hypothesis: $p \neq 0.8$

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:

$z=\frac{0.849 -0.8}{\sqrt{\frac{0.8(1-0.8)}{232}}}=1.869$

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 significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a bilateral test the p value would be:

$p_v =2*P(Z>1.869)=0.0616$

If we compare the p value obtained and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ 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 adults were no longer smoking after one month is not significantly different from 0.8 or 80% .

6 0

4 years ago