All angles are of triangle and thus give sum of 180⁰
x + 5 + 7x - 5 + x = 180⁰
9x = 180⁰
x = 20⁰
Answer:
a) Therefore 92.64% of customers receive the service for half-price.
b) Therefore it would take 8.52 minutes
Step-by-step explanation:
Given that ime required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution with:
mean (μ) = 15 minutes
Standard deviation (σ) = 3.5 minutes
a) The z score is given by the equation:
![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
Since the service will take no longer than 20 minutes,
![z=\frac{x-\mu}{\sigma}=\frac{20-15}{3.5} = 1.43](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7B20-15%7D%7B3.5%7D%20%3D%201.43)
Using the probability table to get the probability of the z score
percent of customers receive the service for half-price = P(X < 20) = P(z < 1.43) = 0.9236 = 92.64%
Therefore 92.64% of customers receive the service for half-price.
b) Since the probability is 3% = 0.03, this corresponds with a z score of -1.88
Therefore:
![z=\frac{x-\mu}{\sigma}=\frac{x-15}{3.5} =-1.88](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3D%5Cfrac%7Bx-15%7D%7B3.5%7D%20%3D-1.88)
![\frac{x-15}{3.5} =-1.88](https://tex.z-dn.net/?f=%5Cfrac%7Bx-15%7D%7B3.5%7D%20%3D-1.88)
![{x-15} =-6.58\\x=-6.58+15=8.52\\x=8.52 minutes](https://tex.z-dn.net/?f=%7Bx-15%7D%20%3D-6.58%5C%5Cx%3D-6.58%2B15%3D8.52%5C%5Cx%3D8.52%20minutes)
Therefore it would take 8.52 minutes
Answer:
The answer is bellow
Step-by-step explanation:
The -2 is the x so you would put it in like so
2(-2) + 3
So you would get
-4+3
Which would give you
-1 as the final answer
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em>
<em>hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>be</em><em> </em><em>helpful</em><em> </em><em>to</em><em> </em><em>you</em><em>.</em><em>.</em>
The answers should be:
A) 6n-4
B) -4n+25