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2 years ago

9

Which of the following lines is parallel to the line y=(-1/4)x+5?

1 answer:

Blizzard [7]2 years ago

7 0

Answer: y=(-1/4)x -3

Step-by-step explanation:

Which of the following lines is parallel to the line y=(-1/4)x+5

Two lines are parallel to each other if they have the same slope,

Slope of line 1 = slope of line 2

Looking at y=(-1/4)x+5,

we will compare it with the slope-intercept equation, y= mx+c

Slope of y=(-1/4)x+5 = -1/4

Now let's examine the options to see the one such that has the same value with our slope , -1/4

1) y=4x+7

From this equation, slope = 4

4 × -1/4= -1

This means lines (-1/4)x+5 and y=4x+7 are not parallel to each other since their slopes are unequal

2)y=-4x-5, slope = -4

This means lines (-1/4)x+5 and y=4x-5 are not parallel to each other since their slopes are unequal.

3)y=(-1/4)x-3

slope = -1/4

This means lines (-1/4)x+5 and y= (-1/4)x-3 are parallel to each other since their slopes are equal. This means equations y=(-1/4)x-3 and y=(-1/4)x+5

are parallel.

In conclusion, line y=(-1/4)x-3 is parallel to y=(-1/4)x+5

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Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury and the stan

liq [111]

Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 120, \sigma = 5.6$

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{121.4 - 120}{5.6}$

$Z = 0.25$

$Z = 0.25$ has a pvalue of 0.5987

X = 119.4

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{119.4 - 120}{5.6}$

$Z = -0.11$

$Z = -0.11$ has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

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