Sasha can walk 6 miles in 3 hours. If she has to walk 1 mile, how long will it take her?

Y=x +20. What is the operation represented in this relationship?

dlinn [17]

Answer:

addition

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawnequipment manufacturer, located

GenaCL600 [577]

Answer:

$z=\frac{0.684 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.589$

$p_v =P(z>1.589)=0.056$

If we compare the p value obtained with the significance level assumed $\alpha=0.05$ 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 homes in Omaha with one or more lawn mowers is not ignificantly higher than 0.65

Step-by-step explanation:

Data given and notation

n=497 represent the random sample taken

X=340 represent the homes in Omaha with one or more lawn mowers

$\hat p=\frac{340}{497}=0.684$ estimated proportion of homes in Omaha with one or more lawn mowers

$p_o=0.65$ 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 true proportion of homes in Omaha with one or more lawn mowers is higher than 0.65.:

Null hypothesis: $p\leq 0.65$

Alternative hypothesis: $p > 0.65$

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:

$z=\frac{0.684 -0.65}{\sqrt{\frac{0.65(1-0.65)}{497}}}=1.589$

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 right tailed test the p value would be:

$p_v =P(z>1.589)=0.056$

If we compare the p value obtained with the significance level assumed $\alpha=0.05$ 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 homes in Omaha with one or more lawn mowers is not ignificantly higher than 0.65

7 0

3 years ago

Video streaming company A charges a one-time $40 membership fee and $2 per video stream. Video streaming company B charges a one

Pie

Let's begin ! ^_^

You have got informations in your problem that you just have to translate in a "mathematic language".

Company A :
"$40 membership fee and $2 per video stream."

Thanks to that, you can guess :
c = 40 + 2s

Now let's do the same thing to the company B.

Company B :
"charges a one-time $20 membership fee and $4 per video stream."

Therefore, c = 20 + 4s.

I think you have guessed !! =D And yes the system of equation that you have to solve and you're looking for is :

{c=40+2s ( Option B)
c=20+4s.

Second step : For how many video streams will the cost be the same for both companies?

We just have to solve the system :) And there is only one variable, the letter "s".

We know that we have to find equal costs as it is said in the question " the cost be the same for both companies", so :

=> 40 + 2s = 20 +4s
=> 4s - 2s = 40 - 20
=> 2s = 20
=> s = 20/2
=> s = 10

Verification :

Company A :
=> 40 + 2s = 40 + 2*10 = 40 + 20 =60.

Company B :

=> 20 + 4s = 20 + 4*10 = 20 + 40 = 60

As you have seen, the costs are the same for both companies.

We can say that as a conclusion for 10 video streams, the cost will be the same for both companies.

In short, the answer would be : 10.

Let me give you an advice : Usually the word "per" means a multiplication is the mathematic language.

Hope this helps !

Photon

7 0

3 years ago

Find the quotient of quantity of 4 times x to the 3rd power minus 12 times x to the 2nd power plus 8 times x all over negative 4

Readme [11.4K]

$\displaystyle \frac{4x^3-12x^2+8x}{-4x}=\frac{4x^3}{-4x}+\frac{-12x^2}{-4x}+\frac{8x}{-4x}\\\\=-x^2+3x-2$