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Rudik [331]
2 years ago
14

What is the slope of the line between (-4,4) and (-1, -2)

Mathematics
2 answers:
max2010maxim [7]2 years ago
8 0
Let be A(-4,4) and B(-1,-2).
When you need to find the slope of a line given the coordinates of 2 points, the slope can be found be dividing the subtraction of Y of both points as yB-yA by the subtraction of their Xs so xB-xA.
yB = -2, yA = 4, xB = -1, xA = -4
Slope = yB-yA / xB-xA = -2 - 4 / -1 - (-4) = -6/3 = -2.

So the slope of the line between (-4,4) and (-1,-2) is -2.

Hope this Helps! :)

Ira Lisetskai [31]2 years ago
7 0
M = -2 
I believe that would be your answer.

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-5,-2,2,5

Step-by-step explanation:

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3 years ago
Is 120% less than, more than or equal to 1
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120% is the same as 120/100

Divide 120 with 100

120/100 = 1.2

1.2 > 1 ∴ 120% is 'more than' 1


hope this helps
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Step-by-step explanation:

3 0
2 years ago
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Solve the following inequality. |3n-2|-2&lt;1
disa [49]

Answer: \frac{-1}{3} < n < \frac{5}{3}

<u>Step-by-step explanation:</u>

| 3n - 2 | - 2 < 1

<u>               +2 </u> <u>+2 </u>

| 3n - 2 |       < 3

3n - 2 < 3     and     3n - 2 > -3

<u>      +2 </u> <u>+2   </u>              <u>     +2 </u>  <u> +2 </u>

3n       < 5      and     3n      > -1

       n <  \frac{5}{3}       and         n > \frac{-1}{3}

\frac{-1}{3} < n < \frac{5}{3}

Interval Notation:  (\frac{-1}{3},\frac{5}{3})

Graph:  \frac{-1}{3} o--------------------o \frac{5}{3}


7 0
3 years ago
Read 2 more answers
if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
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