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Leya [2.2K]
1 year ago
14

Which of the following is the equation of the line that is perpendicular to y = -4x - 5 and goes through the point -2,3

Mathematics
1 answer:
nexus9112 [7]1 year ago
6 0

Answer:

the \: answr \: is \: c. \: y =  \frac{1}{4}x  \times  \frac{7}{2}

Step-by-step explanation:

Find the slope of the line that is perpendicular to y = -4x -5

m =  \frac{1}{4}

substitute \: and \: calculate

m =  \frac{1}{4}  \\ x =  - 2 \: into \\  y = mx + b \\ y = 3

b =  \frac{7}{2}

substitute \: m =  \frac{1}{2}  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  - 2 \\ into \: y \:  = mx + b

y =  \frac{x}{4}  +  \frac{7}{2}

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Answer:

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Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

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The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²

The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²

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3 years ago
Amanda has $5200 in a savings account that earns 4% annually. If the interest is not compounded, what is the value of her accoun
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Step-by-step explanation:

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