Write the equation of a line with a slope of 5 and a y-intercept of (0, 3). Write the equation in slope-intercept form.

Mathematics

1 answer:

sladkih [1.3K]2 years ago

7 0

The answer is y=-5x+3

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Mr. Mutler posts his students' artwork on a bulletin board.

Jlenok [28]

The length could be 5 and width 3. That would equal 15

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3 years ago

When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a

Korvikt [17]

Answer:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

$X \sim N(\mu = 24, \sigma =3)$

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

$\mu -2\sigma = 24-2*3= 18$

$\mu -2\sigma = 24+2*3= 30$

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

7 0

3 years ago

Solve the system of two linear inequalities graphically.

Sladkaya [172]

Answer:

See attachment

Step-by-step explanation:

Isolate y in the first inequality:

$2x + 4y < -16\\4y < - 16 -2 x\\y < -4 -\frac{1}{2} x\\y < -\frac{x+8}{2} \\$