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lesantik [10]
3 years ago
9

What is the slope and y intercept of the linear function graphed below? Answer slope as m = ______________; answer y intercept a

s b = ______________. *

Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0

Answer:

Slope (m) = -⁵/4

y-intercept (b) = 1.5

The graph is non-proportional

Step-by-step explanation:

The slope of a graph using the points, (-2, 4) and (2, -1) is calculated as:

m = \frac{y_2 - y_1}{x_2 -x_1} = \frac{-1 - 4}{2 -(-2)} = \frac{-5}{4}

✅Slope (m) = -⁵/4

✅y-intercept (y) is the point at which the line intercepts the y-axis = 1.5

✅A proportional graph usually has a line that runs through the point of origin (0, 0). Therefore, the graph is non-proportional.

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68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 7.5, \sigma = 1.1

What is the probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

This is the pvalue of Z when X = 8.6 subtracted by the pvalue of Z when X = 6.4. So

X = 8.6

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

Z = \frac{8.6 - 7.5}{1.1}

Z = 1

Z = 1 has a pvalue of 0.8413

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

Z = \frac{6.4 - 7.5}{1.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

68.26% probability that a randomly selected full-term pregnancy baby's birth weight is between 6.4 and 8.6 pounds

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3 years ago
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