Answer:
A and D
Step-by-step explanation:
x is the price of the truck
moster truck tax = 13%
To find the total, you need to do:
113%X
<h3><em><u>
Hope this helps!!! :)</u></em></h3>
Let
be the random variable for the number of marks a given student receives on the exam.
10% of students obtain more than 75 marks, so
![P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10](https://tex.z-dn.net/?f=P%28X%3E75%29%3DP%5Cleft%28%5Cdfrac%7BX-%5Cmu%7D%5Csigma%3E%5Cdfrac%7B75-%5Cmu%7D%5Csigma%5Cright%29%3DP%28Z%3Ez_1%29%3D0.10)
where
follows a standard normal distribution. The critical value for an upper-tail probability of 10% is
![P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)](https://tex.z-dn.net/?f=P%28Z%3Ez_1%29%3D1-F_Z%28z_1%29%3D0.10%5Cimplies%20z_1%3DF_Z%5E%7B-1%7D%280.90%29)
where
denotes the CDF of
, and
denotes the inverse CDF. We have
![z_1=F_Z^{-1}(0.90)\approx1.2816](https://tex.z-dn.net/?f=z_1%3DF_Z%5E%7B-1%7D%280.90%29%5Capprox1.2816)
Similarly, because 20% of students obtain less than 40 marks, we have
![P(X](https://tex.z-dn.net/?f=P%28X%3C40%29%3DP%5Cleft%28%5Cdfrac%7BX-%5Cmu%7D%5Csigma%3C%5Cdfrac%7B40-%5Cmu%7D%5Csigma%5Cright%29%3DP%28Z%3Cz_2%29%3D0.20)
so that
![P(Z](https://tex.z-dn.net/?f=P%28Z%3Cz_2%29%3DF_Z%28z_2%29%3D0.20%5Cimplies%20z_2%3DF_Z%5E%7B-1%7D%280.20%29%5Capprox-0.8416)
Then
are such that
![\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma](https://tex.z-dn.net/?f=%5Cdfrac%7B75-%5Cmu%7D%5Csigma%5Capprox1.2816%5Cimplies75%5Capprox%5Cmu%2B1.2816%5Csigma)
![\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma](https://tex.z-dn.net/?f=%5Cdfrac%7B40-%5Cmu%7D%5Csigma%5Capprox-0.8416%5Cimplies40%5Capprox%5Cmu-0.8416%5Csigma)
and we find
![\mu\approx53.8739,\sigma\approx16.4848](https://tex.z-dn.net/?f=%5Cmu%5Capprox53.8739%2C%5Csigma%5Capprox16.4848)
Answer:
80 Dollars per chair
Step-by-step explanation:
Step One:
Subtract 720 by (-) 240
this should give you, 480
Step Two:
Divide 480 by 6
Which gives you your answer 80