# A restaurant offers a dinner special that has 12 choices for entrees, 10 choices for side dishes, and 6 choices for dessert. How many different meals are possible?

Answer: there are 720 meal possibilities.

## Related Questions

P(x)=3x² + 4x³-8+x⁴-7x Degree; Type; Leading coefficent;

Degree: 4; Type: quartic; Leading coefficient: 1

Step-by-step explanation:

An investigative bureau uses a laboratory method to match the lead in a bullet found at a crime scene with unexpended lead cartridges found in the possession of a suspect. The value of this evidence depends on the chance of a false positive positive that is the probability that the bureau finds a match given that the lead at the crime scene and the lead in the possession of the suspect are actually from two differant melts or sources. To estimate the false positive rate the bureau collected 1851 bullets that the agency was confident all came from differant melts. The using its established ctireria the bureau examined every possible pair of bullets and found 658 matches. Use this info to to compute the chance of a false positive.

Step-by-step explanation:

Given that, we have 1851 bullets that we KNOW are NOT MATCHES of one another. One by one they examine two bullets at a time.

So, there are 1851 bullets but each time we choose 2.

We have, N choose K = N! / K! (N-k)!

Here, N = 1851 and K = 2

Therefore, 1851 choose 2 = 1851! / 2! (1851-2)!

= 1851! / 2! * 1849!

= 1712175 Possible Combinations

Out of these 653 are false positive.

The chance of getting false positive is = 658 / 1712175

= 0.000384

= 0.0384 %

Therefore, The correct option is

The chance of false positive is 0.0384% Because this probability is sufficiently small (< or = 1%) There is high confidence in the agency's forensic evidence.

13. The volume of a gas is inversely proportional to the pressure of the gas. If a balloon is filled with 210 cubic inches of a gas at a pressure of 14 pounds per square inch, find the new pressure of the gas if the volume is decreased to 70 cubic inches.

4.67 pounds

Step-by-step explanation:

In order to find the answer we need to use the following formula:

V=k/P where:

V=volume

P=pressure of the gas

k= constant of proportionality

The above equation establishes that the volume is inversely proportional to the pressure of the gas.

Now, the problem gave us two situations, which are:

For a time 1, we have V1=210 cubic inches and P1=14 pounds, using the equation we have:

V1=k/P1

210 cubic inches=k*(14 pounds) which can be written as:

(210 cubic inches)/(14 pounds)=k

For time 2, we have V2=70 cubic inches and P2=P2 using the equation we have:

V2=k/P2

70 cubic inches=k*P2, using 'k-value' from above:

(70 cubic inches)=[(210 cubic inches)/(14 pounds)]*P2

(70 cubic inches)*(14 pounds)/(210 cubic inches)=P2

4.67 pounds = P2

The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0.25 pound. Assume that the weights of the bricks are independent and that a random sample of 28 bricks is selected. Round your answers to four decimal places (e.g. 98.7654). (a) What is the probability that all the bricks in the sample exceed 2.75 pounds? (b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

Hence, a) 0.8413, b) 0.9987.

Which value is a solution to the inequality x < 4

Step-by-step explanation:

What are the options to choose from?

In a sample of 41 water specimens taken from a construction site, 23 contained detectable levels of lead. A 95% confidence interval for the proportion of water specimens that contain detectable levels of lead is 0.409

Required:
Construct a confidence interval for the proportion of water specimens that contain detectable levels of lead.