Math Answers

A body at an unknown temperature is placed in a room which is held

at a constant temperature of 32° F. If after 10 minutes the temperature of the

body is 0° F and after 20 minutes the temperature of the body is 10° F, find the

unknown initial temperature.

Find the proportion area of the region between z= -2 and z= -3

Construct a probability distribution of the random variable X for

the number of false answers in a 4-item true or false test.

.A box contains four blue and three red marbles. Michelle picks

four marbles at random from this box. If Z is the random variable

representing the number of blue marbles picked from the box,

construct the probability distribution of the random variable Z

The brain volumes (cm3) of 20 brains have a mean of 1052.9 cm3 and a standard deviation of 121.3 cm3. Use the given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of 1245.5 cm3 be significantly high?

During field trip joined by 800 pupils, 610 took the rides provided by the school . Find p and q , where p was the population of children who took the rides

In a corcert, 1684 were sold out to teenagers and 792 were sold to adults. Estimate p and q for the population of teenagers and adults who bought tickets to the concert.

10. A can of cat food, guaranteed by the manufacturer to contain at least 10 units of protein, 20 units of mineral matter, and 6 units of fat, consists of a mixture of four different ingredients. Ingredient A contains 10 units of protein, 2 units of mineral matter, and 1 2 unit of fat per 100g. Ingredient B contains 1 unit of protein, 40 units of mineral matter, and 3 units of fat per 100g. Ingredient C contains 1 unit of protein, 1 unit of mineral matter, and 6 units of fat per 100g. Ingredient D contains 5 units of protein, 10 units of mineral matter, and 3 units of fat per 100g. The cost of each ingredient is Birr 3, Birr 2, Birr 1, and Birr 4 per 100g, respectively. How many grams of each should be used to minimize the cost of the cat food, while still meeting the guaranteed composition? (Hint: Solve through simplex model)

A coin tossed and die is rolled. The outcome of the coin is recoded "1" when it shows a head, and "0" when it shows a tail. The random variable gives the sum of the outcomes of coin and die. Compute the average value of the random variable?compute its variance and standard deviation

At a tennis tournament, a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 87 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. Use the 68-95-99.7 rule to answer the following questions.

a) What is the approximate percentage of serves between 48 and 126? Do not enter the percent symbol.