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3 years ago

How can you represent a linear function in a way that reveals its slope and y-intercept

Mathematics

1 answer:

Alinara [238K]3 years ago

8 0

Answer:

see explanation

Step-by-step explanation:

A linear function is a straight line so all you have to do is find a slope and a y-intercept

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I will give brainliest if you answer all correctly

miskamm [114]

Answer:

I think 13 is C

Step-by-step explanation:

71+52= 123

180-123= 57

7 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

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

$\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5$

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

$Z = \frac{0 - 10}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

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

4 0

3 years ago

If D is the midpoint of CE, CD= 9x-7, and DE= 3x+17, find CE

tatuchka [14]

Hello!

Since D is the midpoint and the two equations are and both sides of point D the equations equal each other

9x - 7 = 3x + 17

Now you solve it algebraically

Add 7 to both sides

9x = 3x + 24

Subtract 3x from both sides

6x = 24

Divide both sides by 6

x = 4

Now we put this into both equations and add them

9(4) - 7 = 29
3(4) + 17 = 29

29 + 29 = 58

The answer is 58 units

Hope this helps!

3 0

3 years ago

Length of the bases and h is the height, to answer the question. How many square feet of grass

Aleonysh [2.5K]

Answer:

There are 7,725 square feet of grass on the trapezoidal field

Step-by-step explanation:

Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.

What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.

To calculate this area, what we need to do

simply is to use the formula for the area of a trapezoid.

Mathematically, the area of a trapezoid can be calculated using the formula;

Area of trapezoid = 1/2 * (a + b) * h

where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.

From the question;

a, b = 81ft and 125 ft

h = 75 ft

Substituting these values, we have :

Area = 1/2 * (81 + 125) * 75

Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2

6 0

3 years ago

spayn [35]

Answer:

Step-by-step explanation:

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8 0

4 years ago

Read 2 more answers