Answer:
y =
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 22, - 14) and (x₂, y₂ ) = (- 18, - 12)
m =
=
= ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
using (- 22, - 14), then
- 14 = - 11 + c ⇒ c = - 14 + 11 = - 3
y =
x - 3 ← in slope- intercept form
1 because it is reveresed
Answer:
602.50 hours
Step-by-step explanation:
Given that a manufacturing plant uses light bulbs whose life spans are normally distributed, with mean and standard deviation equal to 500 and 50 hours,
It was decided to replace the bulbs so that no more than 2% of the bulbs to burn out between replacement periods
i.e. we have to construct 98% confidence interval right tailed to get this.
Z value is 2.05 for this (Upper tailed 0.98 probability)
Hence margin of error ![= 2.05 (std dev)\\=2.05(50)\\= 102.50](https://tex.z-dn.net/?f=%3D%202.05%20%28std%20dev%29%5C%5C%3D2.05%2850%29%5C%5C%3D%20102.50)
The upper bound for this would be
![500+102.50 =602.50](https://tex.z-dn.net/?f=500%2B102.50%20%3D602.50)
So to keep below 2% the bulbs to burn out it should be replaced before 602.50 hours.
Answer:
2
Step-by-step explanation:
Find the greatest common factor of 8, 18, and 70.
Since we are looking for the Greatest Common Factor of the numbers given, we begin by factoring the numbers. It is usually easiest to start with the smallest number. Also, if there is a number that has obvious factors. In our case, satisfies both of these:
8=2⋅2⋅2 In fact,
8 only has one unique factor! If there is to be a common factor (other than
1 ) it must be
2. We now need to check that both
18 and 70 have 2 as a factor:
18=2⋅9
70=2⋅35 Therefore, 2 is the GCF of 8, 18 and 70.