What is a simplified expression for the perimeter of the polygon

Answer:

The product of the expression is -12s² + 11st - 2t²

Step-by-step explanation:

(-3s + 2t)(4s - t)

Use the foil method to multiply the terms. So, we distribute -3s to (4s - t) and we will also distribute 2t to (4s - t) as well.

-12s² + 3st + 8st - 2t²

Now combine like terms.

-12s² + 11st - 2t²

3 0

3 years ago

Twice a number (x) is less than 10

Wewaii [24]

2x < 10

Solving:

Divide each side by 2

x < 5

Hope this helps!

5 0

3 years ago

A larger survey of countries, including the United States, China, Russia, France, Turkey, Kenya, and others, indicated that most

Oksi-84 [34.3K]

Answer:

$z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264$

$p_v =2*P(z>0.264)=0.792$

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 people said that blue is their favorite color is not differetn from 0.24 or 24% at 5% of significance.

Step-by-step explanation:

Data given and notation

n=75 represent the random sample taken

X=19 represent the number of people said that blue is their favorite color

$\hat p=\frac{19}{75}=0.253$ estimated proportion of people said that blue is their favorite color

$p_o=0.24$ 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)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion differs from 0.24 nor no.:

Null hypothesis: $p=0.24$

Alternative hypothesis: $p \neq 0.24$

When we conduct a proportion test we need to use the z statisitc, 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:

$z=\frac{0.253 -0.24}{\sqrt{\frac{0.24(1-0.24)}{75}}}=0.264$

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:

$p_v =2*P(z>0.264)=0.792$

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 people said that blue is their favorite color is not differetn from 0.24 or 24% at 5% of significance.

6 0

3 years ago

Solve the equation<br> 6x+44=100

Anettt [7]

Answer:x=28/3

Step-by-step explanation: 6x+44=100 6x+44−44=100−44 6x/6=56/6 x=28/3

3 0

3 years ago

Find the key numbers of the expression. 4x^2 − x − 14

kow [346]

(X-2 )(4x+7)
X=2
Or
X=-7/4

6 0

3 years ago