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tiny-mole [99]
3 years ago
11

What is the slope of a perpendicular line 2x + y = 6 is answer -2

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0

Answer:

The slope that is perpendicular to the line will be:

m_2=+\frac{1}{2}

Step-by-step explanation:

Given the equation

2x\:+\:y\:=\:6\:

We know that

y=mx+b is the slope-intercept form of a line where m is the slope and b is the y-intercept.

So, writing the equation in the slope-intercept form

2x\:+\:y\:=\:6\:

\:y=-2x+6

here

m=-2        ∵  y=mx+b        

As we know that for perpendicular lines, one slope is the negative reciprocal of the other.

Therefore, the slope that is perpendicular to the line will be:

m_2=+\frac{1}{2}

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At a toy story,Colton can buy a passage of 8 mini footballs for 10.40. The price per mini football is $ ?
Natali [406]

Answer:

The 8-pack is a better value

Step-by-step explanation:

8 0
3 years ago
Construct a​ 95% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A random sam
aniked [119]

Given Information:  

Number of lithium batteries = n = 16

Mean life of lithium batteries = μ = 645 hours

Standard deviation of lithium batteries = σ = 31 hours

Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

DoF = n - 1 = 16 - 1 = 15

The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

CI = 645 \pm 2.131(\frac{31}{\sqrt{16}})

CI = 645 \pm 2.131(7.75})

CI = 645 \pm 16.515

CI = 645 - 16.515 \: and \: 645 + 16.515

CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

6 0
3 years ago
Plzzzz... tell fast​
blondinia [14]

Answer:

its 4x

Step-by-step explanation:

5 0
3 years ago
How to find the bin size
labwork [276]
To find the area of a rectangular prism multiply length by width by height.


If the problem has a variable take the two other dimensions and multiply them together. Then take that number and subtract it from the total to find the number that the variable equals.
3 0
4 years ago
How many times can 3 go into 500
AlladinOne [14]
All you have to do is divide 500 by 3.
500 divided by 3 is 166.666667

I hope this helps:)
3 0
3 years ago
Read 2 more answers
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