Study the function below. f(x) = 4x + 2 Label the function as proportional or non-proportional. Explain your reasoning.

1 answer:

7 0

No because it has to pass the origin of (0,0) but it is 2 units above the origin (0,2) so it will never cross it proportionally.

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Find the equation of the line that contains the point (3,9) and is parallel to the line y=4x+1. Write the line in slope-intercep

Aleksandr-060686 [28]

Y = 4x + 1....slope here is 4. A parallel line will have the same slope

y = mx + b
slope(m) = 4
(3,9)...x = 3 and y = 9
now we sub and find b, the y int
9 = 4(3) + b
9 = 12 + b
9 - 12 = b
-3 = b

so ur parallel equation is : y = 4x - 3

5 0

3 years ago

What is the height of an equilateral triangle with all sides equal to 8

vitfil [10]

an equilateral triangle has a square root height if 3 so I'm guessing if you multiply square root of 3 times 8

3 0

3 years ago

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 They spent $18 on tickets to the carnival and $36 on food.  They spent the rest of the money on g They spent $18 on tickets

Reptile [31]

Answer:

93 = g + 36 + 18

Step-by-step explanation:

8 0

3 years ago

suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

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:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$