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mote1985 [20]
3 years ago
12

A line passes through (-2, -3) and (4, -6) what is the slope of the line ?

Mathematics
2 answers:
MrRissso [65]3 years ago
8 0
The slope,  or gradient, of the line is 6/-3 which is -2. The gradient is -2.
balandron [24]3 years ago
3 0

The slope is the change in Y over the change in X.

Slope = (-6 - -3) / ( 4 - -2)

Slope = (-6+3) / ( 4 +2)

Slope = -3/6

Slope = -1/2

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Answer: 2 1/3

Explanation:

10 2/6 - 7 5/6

You can make both a fraction by multiplying the denominator by the whole number, and then adding the numerator to that number, and keeping the denominator the same. So, 10*6 = 60 and 60 + 2 = 62 and you keep the denominator as 6, which would make 62/6

7*6 = 42 and 42 + 5 = 47 so 7 5/6 becomes 47/6

10 2/6 is equivalent to 62/6

7 5/6 is equivalent to 47/6

This just makes it easier to look at.

Now you just work through the equation.

62/6 - 47/6 = 15/6

15/6 = 2 3/6 = 2 1/3

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1. Find the 90% Cl for the population mean if sample
Elden [556K]

Answer:

The answer is below

Step-by-step explanation:

1)

mean (μ) = 12, SD(σ) = 2.3, sample size (n) = 65

Given that the confidence level (c) = 90% = 0.9

α = 1 - c = 0.1

α/2 = 0.05

The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.65*\frac{2.3}{\sqrt{65} } =0.47

The confidence interval = μ ± E = 12 ± 0.47 = (11.53, 12.47)

2)

mean (μ) = 23, SD(σ) = 12, sample size (n) = 45

Given that the confidence level (c) = 88% = 0.88

α = 1 - c = 0.12

α/2 = 0.06

The z score of α/2 is the same as the z score of 0.44 (0.5 - 0.06) which is equal to 1.56

The margin of error (E) is given as:

E=Z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } =1.56*\frac{12}{\sqrt{45} } =2.8

The confidence interval = μ ± E = 23 ± 2.8 = (22.2, 25.8)

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3 years ago
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