Write the equation for the graph shown below

Mathematics

1 answer:

ira [324]1 year ago

4 0

Answer:

y=0.5x-1

Step-by-step explanation:

First you need to find the gradient of the line. Since x goes up by 0.5 every time y goes up by 1, the gradient is 0.5. Then you need to find the y intercept which is what x equals when y is equal to 0. When y equals zero x equals negative 1. If ylu use the equation y=mx+c where m=gradient and c=y intercept you get y=0.5x-1

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You have a list of 1,000 random, normally distributed numbers with a mean of 20 and a standard deviation of 3. Which statement i

Ludmilka [50]

You're going to have to work out the z-scores of both values in each option and see if it makes sense.

n = m + sz

The mean is 20 and the standard deviation is 3.

So let's find try the z-scores of the outer range values and determine their probabilities:

from 14-20:

n = m + sz
20 = 20 + 3z and 14 = 20 + 3z
0 = 3z and -6 = 3z
z = 0 and z = -2

So now using a z-score table, such as the one below, find the probabilities.

z = 0 is easy, it's 0.5
z = -2 is 0.02275

Subtract the smaller from the larger to get the probability of getting in the range:

0.5 - 0.02275 = 0.47725 (so times 1000, you get 477.25, which is not about 340, so this option is wrong)
---
Now trying option 2, from 17-29:

n = m + sz
29 = 20 + 3z and 17 = 20 + 3z
9 = 3z and -3 = 3z
z = 3 and z = -1

0.99865 - 0.158655 = 0.839995 (not 680, so not the answer)
---
Now trying option 3, from 20-23:

n = m + sz
23 = 20 + 3z and 20 = 20 + 3z
3 = 3z and 0 = 3z
z = 1 and z = 0

0.841345 - 0.5 = 0.341345 (close to 340, so is your answer)

8 0

3 years ago

What is the gradient of the blue line?? Mathswatch

yaroslaw [1]

Answer:

gradient = -5

Step-by-step explanation:

A line passes (x1, y1) and (x2, y2) has the gradient (slope) which is calculated by:

gradient = (y2-y1)/(x2-x1)

As shown in picture, this blue line passes (-1, 0) and (0, -5)

=> gradient = (-5 - 0)/(0 - -1) = -5/1 = -5

Hope this helps!