How do you graph x-y=1 and 3x+2y=-12

It is claimed that automobiles are driven on average more than 20,000 kilometers per year. To test this claim, 100 randomly sele

kow [346]

Answer:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

Step-by-step explanation:

1) Data given and notation

$\bar X=23500$ represent the sample mean

$s=3900$ represent the sample standard deviation

$n=100$ sample size

$\mu_o =2000$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the true mean is higher than 20000, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2000$

Alternative hypothesis: $\mu > 2000$

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{23500-20000}{\frac{3900}{\sqrt{100}}}=8.974$

Calculate the P-value

First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

Since is a one-side upper test the p value would be:

$p_v =P(t_{99}>8.974)=9.43x10^{-15}$

Conclusion

If we compare the p value and the significance level given for example $\alpha=0.05$ we see that $p_v$ so we can conclude that we to reject the null hypothesis, and the actual mean is significantly higher than 20000.

8 0

2 years ago

The expression is (10w^3)^2/5w equivalent to

Rasek [7]

The correct answer is: 3) " 20w⁵ " .
__________________________________________
Explanation:
_________________________________________

(10w³)²/ (5w) =

[ 10² * w⁽³*²) ] / [5w] =

(100* w⁶) / 5w =

(100/5) * w⁽⁶⁻¹⁾ =

20 * w⁵ =

20w⁵ ; which is: Answer choice: 3) " 20w⁵ " .
_____________________________________________________

3 0

3 years ago

In how many ways can you spell the word FOOT in the grid below? You can start on any letter F, then on each step you can step on

muminat

There are six ways in which the word FOOT may be spelt starting at any letter.

<h3>What is combination?</h3>

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 * 1

4C2 = 12/2

4C2 = 6

Learn more about combination: brainly.com/question/25351212

7 0

2 years ago

Ashraf attends a local festival, which has an entrance fee. Each game costs

irina1246 [14]

Answer:

2 + 2x = y

Step-by-step explanation:

I think you're saying the entrance fee is $2. This is the constant. If each game costs an additional $2 per game, that would translate into 2x - or 2 * the number of games. This results in the slope-intercept form equation of: 2+2x=y

5 0

3 years ago

Please help! ^^ will give brainiest

ddd [48]

3×10=30+1=31 is the true meaning and answer for this question.
Hope you good times!

3 0

3 years ago

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