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3 years ago

What is the y-intercept? Give explanation, please.

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

$y = \frac{4}{5}x - 2 → y = \frac{4}{5}x + -2 \\ \\ -2 = b$

Step-by-step explanation:

First, check the rate of change [slope]:

$\frac{-y_1 + y_2}{-x_1 + x_2} = m$

$\frac{-2 + 6}{-5 + 10} = \frac{4}{5}$ ☑

Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula, to get it done much swiftly. It does not matter which ordered pair you choose:

6 = ⅘[10] + b

$−2 = b$

$y = \frac{4}{5}x - 2$

_______________________________________________

2 = ⅘[5] + b

−2 = b

$y = \frac{4}{5}x - 2$

** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.

I am joyous to assist you anytime.

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviat

Harlamova29_29 [7]

Answer:

The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.

Step-by-step explanation:

We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.

Let us find the sample score that corresponds to z-score of bottom 4%.

From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.

Upon substituting these values in z-score formula we will get our sample scores (x) as:

$z=\frac{x-\mu}{\sigma}$

$-1.75=\frac{x-5.71}{0.08}$

$-1.75*0.08=x-5.71$

$-0.14=x-5.71$

$-0.14+5.71=x-5.71+5.71$

$5.57=x$

Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.

Now let us find sample score corresponding to z-score of 1.75 as upper limit.

$1.75=\frac{x-5.71}{0.08}$

$1.75*0.08=x-5.71$

$0.14=x-5.71$

$0.14+5.71=x-5.71+5.71$

$5.85=x$

Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.

7 0

2 years ago

Someone help me with this question pleaseee

sweet-ann [11.9K]

Answer: y=2x-1

We know that the equation of a line is y = mx + b, where m is the gradient and b is the y-intercept.

First to find the gradient, we use the formula y2-y1/x2-x1.

x1 and y1 being the first set of coordinates (2,3) and x2 and y2 being the second set (4,7)

Now we sub in:
m=7-3/4-2
m=4/2
m=2

This is our gradient and we can put it into the equation: y=2x+b

Now we find the y-intercept (b). Since the y-intercept isn’t shown, we can sub in the coordinates to find it.

y=2x+b
Sub (2,3)
3=2(2)+b
3=4+b
-1=b

Sub (4,7)
7=2(4)+b
7=8+b
-1=b

Subbing in both coordinates gives us -1 as the y-intercept, so the finished equation is: y=2x-1

3 0

2 years ago

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Find the equation of straight line passing through the centroid of the centroid of ABC

dem82 [27]

Answer:

use the formula of centroid that is

= x1+x2+x3/3

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2 years ago

X + 18 greater than or equals 26

cricket20 [7]