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3 years ago

The functions f(x) and g(x) are described below:

2 answers:

4 0

Do u need these two points to be grafted? If so there is a website called desmos.com that you can go to and it will plot them for you.
If you need them to be solved i need numbers, to solve them for u. i hoped that helped

Ray Of Light [21]3 years ago

3 0

One way is this
y=mx+b
b=y intercept

f(x)=3x+7
g(x)=3x-8

f(x) has y intercept at y=7
g(x) has y intercept at y=-8
distance between them is 15 units down

another way
to move a graph c units up, add c to whole function
f(x)=3x+7
to g(x)=3x-8
added -15 to the funtion
moved it up -15 units or down 15 units

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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

8 0

3 years ago

2z -5(z +2) = -8 - 2z<br><br> Please explain!! Thank you

Korolek [52]

Follow PEMDAS.

You would first do your distributive property which is, -5(z+2). You would multiply -5 to z and -5 to 2 which will give you -5z + -10.

so now you have 2z-5z+ -10= -8 - 2z. Now you must isolate the variable. So subtract -8 to -10 which will give you -18.

Now you have the equation 2z-5z-18=-2z

Now combine like terms. 2z-5z= -3z

Now you have the equation -3z-18=-2z

Now you must move the -3z to the other side of the equal sign by adding the opposite which is +3z to -2z which will give you +1z

Now you have -18= 1z

Now you divide. -18 divided by 1 is -18.

So your final answer will be -18=z

7 0

3 years ago

Pleas help due to night

AlladinOne [14]

Answer

40.9

Step-by-step explanation:

4 0

3 years ago

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How do you interpret a decimals meaning as a ratio as a ratio<br> How do you interpret 0.003

agasfer [191]

The 3 is in the one-thousandths place.
You can call this number "zero point zero zero three."
Since the 3 is in the thousandths place, this number can also be called "three thousandths."
Use the name of the number to find the ratio.
"three thousandths" means 3 out of 1000.
The ratio is 3:1000 or 3/1000.

4 0

3 years ago

Solve equation -3m=4m - 15

timama [110]

Answer:

m= 15/7

Step-by-step explanation:

3 0

3 years ago

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