Answer:
Step-by-step explanation:
Let's say the Physics book costs $x
The Chemistry book will cost $x - $6
Two such Chemistry books will cost;
2($x - $6) = $(2x - 12)
Three such Physics books cost $3x
$(2x - 12) + $3x = $123
$5x - $12 = $123
$5x = $111
x = $22
So the Physics book costs; $22
and the Chemistry book costs $22 - 6 = $16
Answer:
(a) Probability that there are no surface flaws in an auto's interior is 0.6065 .
(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws is 0.00673 .
Step-by-step explanation:
We are given that the number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.05 flaws per square foot of plastic panel.
Let X = Distribution of number of surface flaws in plastic panels
So, X ~ Poisson()
The mean of Poisson distribution is given by, E(X) = = 0.05
which means, X ~ Poisson(0.05)
The probability distribution function of a Poisson random variable is:
Now, we know that for per square foot of plastic panel is 0.05 and we are given that an automobile interior contains 10 square feet of plastic panel.
Therefore, for 10 square foot of plastic panel is = 10 * 0.05 = 0.5
(a) Probability that there are no surface flaws in an auto's interior =P(X=0)
P(X = 0) = =
= 0.6065
(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws =
So, =
= 0.00673
Using the Fundamental Counting Theorem, it is found that she can choose 180 different meals.
<h3>What is the Fundamental Counting Theorem?</h3>It is a theorem that states that if there are n things, each with ways to be done, each thing independent of the other, the number of ways they can be done is:
In this problem:
Then:
She can choose 180 different meals.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866