5. The Toy Car Company sells toy cars for $8.00<br> per car and charges $3.50 for shipping.<br> a.

A pyramid and a cone are both 8 centimeters tall and have the same volume.

notka56 [123]

Answer:

D. The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation: I dont know what the guy above is saying but this is the right answer

4 0

2 years ago

ms anderson bought 45 baseball hats. Mets hats cost $18 and Yankee hats cost $24. If she spent $1050, how many of each did she b

DerKrebs [107]

First, you have to set up two equations. X + y = 45 18x + 24y = 1,050 To do this, you have to solve for an exponent by cancelling out the other one. To solve for y, you multiply everything in the first equation by -18. -18x -18y = -810 This cancels out the x and leaves you with 6y = 240. Divide both sides by 6 and you have the number of Yankee hats that were bought. Then, you have to substitute 40 for y in the first equation and solve for x.

5 0

3 years ago

Find the median<br> 23 ,15, 38 ,34 ,22, 2, 21 ,27 ,26 ,14, 32, 30, 19

xxTIMURxx [149]

First put them in ascending numerical order
2, 14, 15, 19, 22, 21, 26, 27, 23, 30, 32, 34, 38
Then start to eliminate numbers by pair (the farthest number from each side) until you get to 1 or two numbers left (in the very middle)
in this case you will be left with 26, which means that the median is 26

3 0

2 years ago

Read 2 more answers

The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08

kvv77 [185]

Answer:

a) 44.93% probability that there are no surface flaws in an auto's interior

b) 0.03% probability that none of the 10 cars has any surface flaws

c) 0.44% probability that at most 1 car has any surface flaws

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the binomial probability distributions.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Binomial distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Poisson distribution with a mean of 0.08 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.

So $\mu = 10*0.08 = 0.8$

(a) What is the probability that there are no surface flaws in an auto's interior?

Single car, so Poisson distribution. This is P(X = 0).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.8}*(0.8)^{0}}{(0)!} = 0.4493$

44.93% probability that there are no surface flaws in an auto's interior

(b) If 10 cars are sold to a rental company, what is the probability that none of the 10 cars has any surface flaws?

For each car, there is a $p = 0.4493$ probability of having no surface flaws. 10 cars, so n = 10. This is P(X = 10), binomial, since there are multiple cars and each of them has the same probability of not having a surface defect.