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3 years ago

Find an equation in slope intercept form for the line through point P(-3, 2) and perpendicular to the line

Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

Answer:

y=-1/5 x +7/5

Step-by-step explanation:

First lets find the slope for line containing the two points (2,3) and (1,2)

$m=\frac{3-(-2)}{(2-1)}\\$

m=5

Two lines are perpendicular between each other if m1*m2=-1

we have one slope m1=5, we obtain m2= -1/5

Next we need to eval the equation for lines y=mx+b, where m= -1/5 using the point P(-3,2)

2=-1/5 * -3 +b

From that we obtain that b= 2-3/5=7/5

So the equation for the desired line is:

y=-1/5 x +7/5

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A manufacturer of coffee vending machines has designed a new, less expensive machine. The current machine is known to dispense (

cupoosta [38]

Answer:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

Step-by-step explanation:

Data given

$\mu=7$ population mean (variable of interest)

$\sigma=0.2$ represent the population standard deviation

$s=0.219$ represent the sample deviation

n=15 represent the sample size

$\alpha=0.05,0.01$ represent the values for the significance level

Hypothesis test

On this case we want to check if the population standard deviation is equal or not to 0.2, so the system of hypothesis are:

H0: $\sigma = 0.2$

H1: $\sigma \neq 0.2$

In order to check the hypothesis we need to calculate the statistic given by the following formula:

$t=(n-1) [\frac{s}{\sigma_o}]^2$

This statistic have a Chi Square distribution distribution with n-1 degrees of freedom.

What is the value of your test statistic?

Now we have everything to replace into the formula for the statistic and we got:

$t=(15-1) [\frac{0.219}{0.2}]^2 =16.7864$

P value

We know the degrees of freedom of the distribution 14 on this case and we can find the p value like this:

$p_v = 2*P(\chi^2_{14}>16.786)=0.5355$

And the 2 is because we are conducting a bilateral test.

$\alpha=0.05$ since the the $p_v >0.05$ we fail to reject the null hypothesis.

$\alpha=0.01$ since the the $p_v >0.01$ we fail to reject the null hypothesis.

3 0

4 years ago

PLS HELP AND EXPLAIN IT IS PROBABILITY :) oops sorry for caps

Taya2010 [7]

Answer:

1/18 or 0.0555... or %5.555...

Step-by-step explanation:

Step 1: Find the probability of choosing a 1

1 out of 6 → 1/6

Step 2: Find the probability of choosing a blue chip.

2 out of 6 → 2/6 → 1/3

Step 3: Multiply it

1/6 * 1/3

1/18

Answer: 1/18 or 0.0555... or %5.555...

3 0

4 years ago

Two students created a tape diagram to represent the following problem: The distance between Rosa's house and her school is 3/4

Kruka [31]

Answer:

Tape diagram b

Step-by-step explanation:

It shows 1/3 out of 3/3 instead of 1/3 of 1/3

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3 years ago

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katrin2010 [14]

You need to find out how much it costs to wash one car, so:

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4 years ago

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Ray Of Light [21]

Step-by-step explanation:

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2 years ago

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