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3 years ago

The table represents the linear function f(X) and the equation represents a linear function g(x).

Mathematics

1 answer:

alexandr402 [8]3 years ago

5 0

Answer:

The Answer is: A. the slope of f(x) is less than the slope of g(x). the Y intercept of f(x) is equal to the Y intercepts of g(x).

Step-by-step explanation:

Given points for f(x): (0, 1), (2, 4), (4, 7)

Given equation for g(x): g(x) = 2x + 1

Slope for g(x): m = 2

Calculate points for g(x):

g(0) = 1, giving (0, 1)

g(1) = 3, giving (1, 3)

g(2) = 5, giving (2, 5)

g(4) = 9, giving (4, 9)

Calculate the slope for f(x):

m = (y - y1) / (x - x1)

m = 1 - 4 / 0 - 2

m = -3/-2 = 3/2

The slope m = 3/2 of f(x) is is less than the slope m = 2 of g(x). The y intercept for each equation is 1 because g(0) = f(0) = 1 .

Hope this helps!! Have an Awesome day!!! :-)

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My Notes A large manufacturing plant uses lightbulbs with lifetimes that are normally distributed with a mean of 1600 hours and

Evgen [1.6K]

Answer:

The bulbs should be replaced each 1436.9 hours.

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:

$\mu = 1600, \sigma = 70$

How often should the bulbs be replaced so that no more than 1% burn out between replacement periods?

This is the first percentile of hours. So it is X when Z has a pvalue of 0.01.

So it is X when Z = -2.33.

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

$-2.33 = \frac{X - 1600}{70}$

$X - 1600 = -2.33*70$

$X = 1436.9$

The bulbs should be replaced each 1436.9 hours.

6 0

3 years ago

How do you add fractions with a whole number? Please explain the rules of it too! To be marked as brainliest

eimsori [14]

Hello this is how you do it!<3

9/4 = 21/4 therefore, 9/4 = 21/4

24/10 try to reduce the numerator and denominator by a common denominator 24/10 divided 2/2 = 12/5

16/2 divided 2/2 = 8/1 = 8

I hoped that help!<3

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2 years ago

8/3c-2=2/3c-12 Please help asap

bagirrra123 [75]

Answer:

c=-5

Step-by-step explanation:

https://www.tiger-algebra.com/drill/8/3c-2=2/3c-12/

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3 years ago

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Mashcka [7]

Answer:

The graph that is in the bottom left corner.

Step-by-step explanation:

Hope this helps:)

8 0

3 years ago

Read 2 more answers

This table shows rainfall in centimeters for a city in different months the quadratic regression equation that models these data

kiruha [24]

Answer:

(a) No; rainfall amounts are positive

Step-by-step explanation:

Rainfall amounts are measured using a gauge that reports the amount as zero when the gauge is empty. Any rainfall adds to the amount in the gauge, so is reported as a positive number. There is no way to remove more rainfall than is in the gauge, so there is no way to have a negative rainfall amount

A prediction of a negative rainfall amount makes no sense, because you can't have a negative amount of rainfall.

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2 years ago