Solve the equation 4(x + 2)= 6x + 4

SpyIntel [72]

$3^{ \frac{11}{5} }:3^{ -\frac{9}{5} }=3^{ \frac{11}{5} -(-\frac{9}{5}) }=3^{\frac{20}{5} }=3^{ 4}=81$

the answer is 81

5 0

4 years ago

According to an exit poll for an election, 55.6% of the sample size of 836 reported voting for a specific candidate. Is this e

solniwko [45]

Answer:

$z=\frac{0.556 -0.5}{\sqrt{\frac{0.5(1-0.5)}{836}}}=3.238$

$p_v =2*P(z>3.238)=0.0012$

The p value is a reference value and is useful in order to take a decision for the null hypothesis is this p value is lower than a significance level given we reject the null hypothesis and otherwise we have enough evidence to fail to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

n=836 represent the random sample taken

$\hat p=0.556$ estimated proportion of interest

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

$\alpha$ represent the significance level

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 ture proportion is equal to 0.5 or no.:

Null hypothesis: $p=0.5$

Alternative hypothesis: $p \neq 0.5$

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:

$z=\frac{0.556 -0.5}{\sqrt{\frac{0.5(1-0.5)}{836}}}=3.238$

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:

$p_v =2*P(z>3.238)=0.0012$

The p value is a reference value and is useful in order to take a decision for the null hypothesis is this p value is lower than a significance level given we reject the null hypothesis and otherwise we have enough evidence to fail to reject the null hypothesis.

4 0

3 years ago

NEED HELP ASAP

Marizza181 [45]

So basically we need to find the volume of this cone-shaped building first.

The formula for the volume of a cone:
$V = \pi r^{2}\frac{h}{3}$

Where r is the radius and h is the height.

1.) Plug in 11.4 for h because 11.4 is the height:
$V = \pi r^{2} \frac{11.4}{3}$

2.) The diameter is 12, and the radius is just half of that. So the radius is 6. Plug in 6 for r because 6 is the radius:
$V = \pi 6^{2} \frac{11.4}{3}$

3.) Plug in 3.14 for π because the directions told you to:
$V = 3.14*6^{2} * \frac{11.4}{3}$

4.) Simplify:
$V = 3.14 * 36 * 3.8$

5.) Simplify further:
V = 429.552

So the volume of the building is 429.552 meters cubed.
If 1 cubic meter = $20, how much money will 429.552 cubic meters cost?

Multiply 429.552 on both sides:
1 cubic meter (*429.552) = $20 (*429.552)

429.552 cubic meter = $8591.04

That means that 429.552 cubic meters will cost a total of $8591.04 :)

4 0

3 years ago

5. A quarter is tossed in the air 300 times.

tankabanditka [31]

Answer:

C

Step-by-step explanation:

The probability of getting heads or tails is 50%.

300*50% = 150

3 0

3 years ago

Read 2 more answers

Please h e l p answer this??

aleksandrvk [35]

A, 4(750c - 700t). Hope this helps.

6 0

3 years ago