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nikdorinn [45]
2 years ago
15

Write the equation of the line that passes through the points (-6,1) and (-2,5). Put your answer in fully reduced point-slope fo

rm, unless it is a vertical or horizontal line.
Mathematics
1 answer:
irinina [24]2 years ago
3 0
  • (-6,1)
  • (-2,5)

Slope:-

\\ \sf\longmapsto m=\dfrac{5-1}{-2+6}=\dfrac{4}{4}=1

Point-Slope form

\\ \sf\longmapsto y-y_1=m(x-x_1)

\\ \sf\longmapsto y-1=1(x+6)

\\ \sf\longmapsto y-1=x+6

\\ \sf\longmapsto x-y+7=0

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Plz help! Simplify the expression.
ladessa [460]

Answer:

Step-by-step explanation:

7 0
2 years ago
A manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly.
denpristay [2]

Answer:

We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.

Step-by-step explanation:

We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.

You select a sample of 100 light bulbs and find mean bulb life is 490 hours.

Let \mu = <u><em>population mean light bulb life.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 500 hours      {means that the population mean light bulb life is at least 500 hours}

Alternate Hypothesis, H_A : \mu < 500 hours     {means that the population mean light bulb life is below 500 hours}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                           T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean bulb life = 490 hours

           σ = population standard deviation = 50 hours

           n = sample of light bulbs = 100

So, <u><em>the test statistics</em></u>  =  \frac{490-500}{\frac{50}{\sqrt{100} } }

                                     =  -2

The value of z test statistics is -2.

<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>

Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>

Therefore, we conclude that the population mean light bulb life is at least 500 hours.

7 0
3 years ago
Can someone please help with this asap its worth a lot of points. (: !!!
ladessa [460]

Answer:

8...the value of d variable =45 degree

corresponding angles are equal(reason)

9.

8 0
3 years ago
Read 2 more answers
The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 3 fl oz per minute. How
Furkat [3]
1.40625 gallons per hour
4 0
3 years ago
Two of the sides of a triangle are 7 inches
igomit [66]

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

8 0
3 years ago
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