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3 years ago

Which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)

Mathematics

2 answers:

Eduardwww [97]3 years ago

8 0

Answer:

y = -2/3 x - 3

Step-by-step explanation:

since you have a point and a slope, you can use point - slope form

<h3> $y - y_{1} = m (x - x_{1} )$ plug in the point as $(x_{1}, y_{1})$ and the slope as m</h3><h3 /><h3>y - (-1) = -2/3(x - (-3)) change two negatives into positive</h3><h3>y + 1 = -2/3 (x+3) distribute the -2/3</h3><h3>y + 1 = -2/3x - 2 subtract 1 from both sides</h3><h3>y = -2/3 x -3</h3>

DiKsa [7]3 years ago

5 0

Answer:

y = -2/3x - 3

Step-by-step explanation:

y = mx + b

m = slope

(-3,-1) = (x,y)

<em>Plus in the coordinates</em>

-1 = -2/3(-3) + b

<em>negative times negative = positive</em>

-2/3 * -3 = 2

-1 = 2 +b

<em>Use inverse operations</em>

-2 --2

-3 = b

y = -2/3x - 3

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3 years ago

Use inductive reasoning to write the five square numbers that follow 25

Oduvanchick [21]

If we observe the square numbers series, we can understand a pattern:
1,4,9,16,25.
In other words, we have the following
1+3=4
4+5=9
9+7=16
16+9=25
In this pattern, we added 3,5,7 and 9 respectively to the previous number. In this way, to get the next numbers, we need to add 11,13,15,17 and 19 respectively to get the answer to previous number.
25+11=36
36+13=49
49+15=64
64+17=81
81+19=100
So, the five square numbers that follow 25 are 36, 49, 64, 81, 100.
answer
36, 49, 64, 81, 100.

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3 years ago

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pychu [463]

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Step-by-step explanation:

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3 years ago

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3 years ago

The Wall Street Journal Corporate Perceptions Study surveys readers and asks how each rats the quality of management and the rep

ololo11 [35]

Answer:

Step-by-step explanation:

$\text{The data given for the quality measurement and other criteria can be seen below:}$

Quality management Excellent Good Fair Total

Excellent 40 25 5 70

Good 35 35 10 80

Fair 25 10 15 50

Total 100 70 30 200

The null and alternative hypothesis:

$\mathbf{H_o: \text{the quality management and reputation are independent} }$

$\mathbf{H_a: \text{the quality management and reputation are not independent} }$

The expected value is calculated by using the formula:

$E=\dfrac{row \ total \times column \ total }{table \ total}$

After using the formula to calculate the table above; we have:

The expected values of the data to be:

Quality management Excellent Good Fair Total

Excellent 35 24.5 10.5 70

Good 40 28 1.2 80

Fair 25 17.5 7.5 50

Total 100 70 30 200

Degree of freedom = ( row - 1 ) × ( column -1 )

$= (3 - 1 ) \times (3 -1)$

$= 2\times 2$

$=4$

$\text{The p-value at level of significance of 0.05 and degree of freedom of 4 = }\mathbf{0.0019}$

Decision rule: To reject the $\mathbf{H_o}$ if the p-value is less than the ∝

Conclusion: We reject the $\mathbf{H_o}$ and conclude that quality management and reputation are not independent.

(B) $\text{The P-value here implies that in case that there is no dependence between the two ratings, }$ $\text{the probability that they will seem to show at least this kind of strong dependence is 0.0019.}$

$\text{Thus, the probability that they will seem to show at least this kind of strong independence is =}$ $\mathbf{0.0019}$

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2 years ago