Help me fast please

\The lengths of a lawn mower part are approximately normally distributed with a given mean Mu = 4 in. and standard deviation Sig

chubhunter [2.5K]

Answer:

68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

Step-by-step explanation:

The lengths of a lawn mower part are approximately normally distributed

$\mu = 4$

Standard deviation = $\sigma =0.2$

We are supposed to find What percentage of the parts will have lengths between 3.8 in. and 4.2 in . i.e. P(3.8<x<4.2)

Formula : $Z=\frac{x-\mu}{\sigma}$

At x = 3.8

$Z=\frac{3.8-4}{0.2}$

Z=-1

Refer the z table for p value

p value =0.1587

At x =4.2

$Z=\frac{4.2-4}{0.2}$

Z=1

Refer the z table for p value

p value =0.8413

P(3.8<x<4.2)=P(x<4.2)-P(x<3.8)=0.8413-0.1587=0.6826

So, 68.26% of the parts will have lengths between 3.8 in. and 4.2 in.

3 0

4 years ago

This is Sample Space. Tyra will flip a red and yellow counter and spin a spinner labeled A-E. if Tyra flips the counter and spin

Mars2501 [29]

Answer:

Just take each edge of the spinner and put it on the branches try to distribute it equally.

Step-by-step explanation:

:D

7 0

3 years ago

Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M

HACTEHA [7]

Answer:

The equation of line M in slope intercept form is $y=\frac{3}{2}x+1$

The equation of line M in standard form is $3x-2y=-2$

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(2,4) and (0,1)

substitute

$m=\frac{1-4}{0-2}$

$m=\frac{-3}{-2}$

$m=\frac{3}{2}$

step 2

Find the equation of the line M in point slope form

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

we have

$m=\frac{3}{2}$

$point\ (0,1)$

substitute

$y-1=\frac{3}{2}(x-0)$

$y-1=\frac{3}{2}x$ ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

$y=mx+b$

Isolate the variable y in the equation of the line in point slope form

$y-1=\frac{3}{2}x$

Adds 1 both sides

$y=\frac{3}{2}x+1$

step 4

Find the equation of the line M in standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

we have

$y=\frac{3}{2}x+1$

Multiply by 2 both sides

$2y=3x+2$

$3x-2y=-2$ ---> equation in standard form

7 0

3 years ago

50 POINTS! BRAINLIEST!!!

Anton [14]

The 1st choice (x - 9, y - 3) is the correct answer.

Take any of the corresponding coordinate points to find the rule that represents the translation:

D —> D’

(3, 5) —> (-6, 2)

(3 - 9, 5 - 3) = (-6, 2)

Counting the units from graph also shows this translation rule, seeing that hexagon DEFGHI moved 9 units to the left and 3 units down.

Hope this helps :)

5 0

4 years ago

The following scatter plot shows the number of page views for a popular website and how many people signed up to receive emails

My name is Ann [436]

Answer:

See Explanation.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS