Math Answers

Write the word continuous if the given function is continuous on each of the given intervals otherwise write the word not continuous f(x)=x+5/x^-9 a.(0,9] b.(-3,3)

Question: A card is drawn from a standard deck. Find each of the following conditional probabilities, use the formulas and show your work.

a) The card is a queen, given it is a face card.

b) The card is a king, given that it is a spade.

c) The card is a spade, given that it is a king.

The results of a Nationwide aptitude test in mathematics are normally distributed with m=80 and s=15 what percentile rank of a score of 90

“BLUE PINK”

Situation: A maternity hospital located at the heart of the city is providing nursery kit items for expectant mother clients. The common colors of these items are either pink (for female babies) or blue (for male babies). The hospital management’s concern is the number of each colored item they have to prepare to meet the demands of their clients. On the basis of the previous years’ experience, the management estimates that the probability that any one mother will have a female baby and will be using pink items is .60.

Task: Determine the probability distribution by completing the table from 20 mothers, with    and .

A committee of 4 men and 6 women is to be selected from 7 men and 8 women .if there is a married couple among the 15 people,in how many ways the committee be selected so that the couple are automatically the committee

‘Darshan’ is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.

A. What is the probability of getting fewer than 9,000 hits? 

The paper “Are Babies Normal?” byT. Clemons

and M. Pagano (The American Statistician, Vol. 53,No. 4, pp.

298–302) focused on birth weights of babies. According to

the article, the mean birth weight is 3369 grams (7 pounds

6.5 ounces) with a standard deviation of 581 grams.

a. Identify the population and variable.

b. For samples of size 200, find the mean and standard

deviation all possible sample mean weights.

c. Repeat part (b) for samples of size 400.

A line segment has end points A (-12, -11) and B (6, 19). Find the three points that divide AB into four equal pieces. A) show that the line segment with end points A (5,3) and B (5 ,-5) is a chord of the circle X to the power of 2 + Y to the power of two = 34

The first term,seventh term and nth term of an AP are 4, 28 and 32 respectively. Calculate the number of terms in the sequence.

An automobile battery manufacturer claims that its midgrade battery has a mean life of 50 months with a standard deviation of 6 months. Suppose the distribution of battery lives of this particular brand is approximately normal, find the probability that a randomly selected battery of this type will last less than 48 months.