Math Questions

For the data from a sample shown below, answer the questions. Round to 2 decimal places. X 10.5 19.7 8.3 17.7 14.4 Find the mean: 14.12 Find the median: 14.4 Find the standard deviation: 4.76

The bill for parts and labor for the repair of an automobile was $355. The cost for parts was II $285. The cost of labor was $35 per hour. Let x represent the number of hours of labor. Which of these equations is correctly setup if it took 2 hours of labor to repair the car? 285 = -355 +35x 35x+285 = -355 355 = 285 + 35x 285 = 35x +355

Suppose a jar contains 17 red marbles and 28 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

The following data represents the price of 8 houses currently on the market in Tulsa, OK. $274946 $236728 $253943 $337384 $210684 $254725 $131693 $328884 Find the range of the data: $

There is a 80% chance that a person eats dinner, a 70% chance a person eats dessert and a 40% chance the person will eat dinner and dessert. Which of the following is true? A. Eating dinner and eating dessert are dependent events because P(dinner) - P(dessert) = 0.8 -0.7 = 0.1 which is less than P(dinner and dessert) = 0.4. B. Eating dinner and eating dessert are independent events because P(dinner) P(dessert) = 0.8.0.7 = 0.56 which is not equal to P(dinner and dessert) = 0.4. C. Eating dinner and eating dessert are dependent events because P(dinner) P(dessert) = 0.8 0.7 = 0.56 which is not equal to P(dinner and dessert) = 0.4. D. Eating dinner and eating dessert are independent events because P(dinner) - P(dessert) = 0.8 -0.7 = 0.1 which is less than P(dinner and dessert) = 0.4.

If A = {even numbers) and B = {odd numbers), which of the following is true? Enter a, b, c, d, or e. a. 39 € A c. 48 € B b. An B=0 d. AUB=A e. none of the above

A bag of M&M's has 3 red, 6 green, 5 blue, and 2 yellow M&M's. What is the probability of randomly picking: (give answer as a reduced fraction) 1) a yellow? 2) a blue or green? 3) an orange?

Of the last 60 people who went to the cash register at a department store, 14 had blond hair, 17 had black hair, 24 had brown hair, and 5 had red hair. Determine the empirical probability that the next person to come to the cash register has blond hair.

Joseph was solving the equation 5x-6=x-18. If he solved it correctly, which of these equations would represent the final step? A. 6x = -24 B. 4x = -24 C. 4x = -12 D. -4x = -12

Mike's car gets an average of 28 mpg. There are 12 gallons of fuel in Mike's car when he starts his trip of 140 miles. About how many gallons are left in his at the end of his trip? a. 5 gallons b. 6 gallons c.7 gallons d. 8 gallons

The mean score on a set of 23 tests is 73. What is the sum of all the test scores? The sum of all the test scores is

Two dice are rolled one after the other. Construct a sample space and determine the probability that the sum of the dots on the dice total 11 if the first die is a 5. The probability that the sum of the dots on the dice total 11 if the first die is a 5 is

An experimental drug was given to a sample of 95 hospital patients with an unknown sickness. Of the total, 74 patients reacted favorably, 8 reacted unfavorably, and 13 were unaffected by the drug. Assume that this sample is representative of the entire population. If this drug is given to Mr. and Mrs. Rivera and their son Carlos, what is the probability that all three react favorably? (Assume independence.)

Martin is shopping for a new MP3 player. The one he wants is on sale for $119.95 CDN. He has found the same MP3 player for $105.99 US on a website for a US store. The exchange rate is $1 US = $1.09 CDN. Determine which store has the lower price in Canadian Dollars. Identify one factor, besides the price, that Martin should consider before making his purchase.

A new sneaker claims that it can make athletes jump higher. A sample of 25 athletes is asked to jump once with their own sneakers on and once wearing the new sneakers. The average jump increased by 1.5 inches with the new sneakers! Assume that the standard deviation of the sampling distribution is .6 inches. Find a 95% confidence interval for the mean increase and then interpret what this means.

If a first experiment can be performed in 8 distinct ways and a second experiment can be performed in 10 distinct ways, the two experiments together can be performed in how many distinct ways?

What is the seventh term of a sequence whose first term is 1 and whose common ratio is 3? 243 729 2,187

According to a study, 71% of K-12 schools or districts in a country use digital content such as ebooks, audio books, and digital textbooks. Of these 71%, 10 out of 20 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum. The probability that a randomly selected school or district uses digital content and uses it as part of their curriculum is

A new medicine was given to a sample of 100 hospital patients. Of the total, 73 patients reacted favorably, 12 reacted unfavorably, and 15 were unaffected by the drug Assume that this sample is representative of the entire population. If this medicine is given to Mr. and Mrs. Rivera and their son Carlos, what is the probability Mrs. Rivera reacts favorably? (Assume independence.)

Which source of bias is most relevant to the following situation: A winner is chosen on a popular TV show by having people pay to register their vote using a cell phone. self-interest study voluntary response bias nonresponse bias or missing data perceived lack of anonymity loaded or leading question

Which of the following expressions represents the distance between -3.9 and -4.7?

By rewriting the formula for the multiplication rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B|A) =P(A and B)/P(A) on time. The probability that an airplane flight departs on time is 0.89. The probability that a flight arrives on time is 0.89. The probability that a flight departs and arrives on time is 0.81. The probability that a flight departed on time given that it arrives on time is (Round to the nearest thousandth as needed.) Use the information below to find the probability that a flight departed on time given that it arrives

Find the common ratio for the following sequence. 1/2, -1/4, 1/8, -1/16, ... 1/2 -2 -1/2 2

Find the Z-score such that the area under the standard normal curve to the left is 0.52. Click the icon to view a table of areas under the normal curve. is the Z-score such that the area under the curve to the left is 0.52. (Round to two decimal places as needed.)

The life expectancy (in years) of a certain brand of clock radio is a continuous random variable with the probability density function below. F(X)= {2/(x + 2)²1x20 0, otherwise (A) Find the probability that a randomly selected clock lasts at most 4 years. (B) Find the probability that a randomly selected clock radio lasts from 4 to 10 years. (C) Graph y=f(x) for [0, 10] and show the shaded region for part (A).

A coffee franchise is opening a new store. The company estimates that there is a 70% chance the store will have a profit of $20,000, a 15% chance the store will break even, and a 15% chance the store will lose $3,000. Determine the expected gain or loss for this store. The expected value is $. (Round to the nearest cent as needed.)

A single fair die is rolled twice. a) Determine the number of points in the sample space. b) Construct a tree diagram and determine the sample space. c) Determine the probability that a double (a 1, 1 or 2, 2, etc.) is rolled. d) Determine the probability that a sum of 11 is rolled. e) Determine the probability that a sum of 10 is rolled. f) Are you as likely to roll a sum of 11 as you are of rolling a sum of 10? What is the sample space? Choose the correct answer below. A. 11, 13, 15, 22, 24, 26, 31, 33, 35, 42, 44, 46, 51, 53, 55, 62, 64, 66 B. 12, 13, 14, 15, 16, 21, 23, 24, 25, 26, 31, 32, 34, 35, 36, 41, 42, 43, 45, 46, 51, 52, 53, 54, 56, 61, 62, 63, 64, 65 c. 11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66 D. 11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36 c) The probability that a double is rolled is. (Simplify your answer.)

Find the domain of the rational function. f(x) =2x-2/4x + 4 Choose the correct domain below. Select the correct choice below, and if necessary, fill in the answer box to complete your choice. A. The domain of f(x) is all real numbers except (Use a comma to separate answers as needed.) B. The domain of f(x) is all real numbers.

What is the next term of the following sequence? 12, 6, 3, ... 014 2

A cooler contains 9 cans of soda; 5 colas, 3 orange, and 1 cherry. Two cans are selected at random without replacement. Find the probability that at least one can is cherry.

You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00. If a savings account earns 4.5% APR interest, how much do you really save with a refurbished computer if you put the difference into the savings account for a year?

Select the correct answer. Which two points satisfy y=-x+ 2x + 4 and x + y = 4? A. (0,4) and (4,0) B. (0, 4) and (3, 1) C. (7,-3) and (0,4) D. (7,-3) and (4,0)

The highway mileage (mpg) for a sample of 5 different models of a car company can be found below. Find the mean, median, mode and range. 21, 23, 26, 28, 28, 30 Mean = Median = Mode = Range =

A box contains three cards. On one card there is an apple (A), on another card there is a sun (8), and on the third card there is a pear (P). Two cards are to be selected at random with replacement. Complete parts (a) through (e) below. e) Determine the probability that at most one card containing an apple is selected. The probability is . (Simplify your answer.)

Given the sequence 7, 14, 28, 56, which expression shown would give the tenth term? 7.29 7.210 710 ....

Which value of r indicates a stronger correlation: r=0.792 or r= -0.947? Explain your reasoning. Choose the correct answer below. A. r=0.792 represents a stronger correlation because 0.792> - 0.947. B. r= -0.947 represents a stronger correlation because 0.792> - 0.947. C. r= -0.947 represents a stronger correlation because | -0.947| > |0.792). D. r=0.792 represents a stronger correlation because | -0.947| > |0.792.

A restaurant offers a $12 dinner special that has 5 choices for an appetizer, 13 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert?

A large bag of marbles contains equal amounts of each of 10 colors. Milo selects 1 marble, looks at it, puts it back, and then selects another. Find the probability of Milo selecting the same color both times.

24. Maggie wants to make at least $200 a week and can work no more than 30 hours a week. She works at the library for $8 an hour and babysits for $6 an hour. What system of inequalities shows the possible combination of hours and jobs she can work?

Present value. A promissory note will pay $25,000 at maturity 6 years from now. How much should you be willing to pay for the note now if money is worth 4.5% compounded continuously?

Find the next term of the following sequence. 9, 6, 4, ... 8/3 3 2

The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have. Which of the following are categorical (or qualitative) variables in these records? Reading Test Score Disabilities or Special Needs Mathematics Test Score Current Grade Level Race or Ethnicity Student Name Days Absent Age

Two points P and Q in the Argand diagram rep- resent complex numbers z and 3z + 2 + i. If P moves arround the circle with centre at the origin and radius 2, then Q moves on the circle, whose centre and radius are (a) -2-i, 6 (c) 2+ i, 6 (b) 2-i, 3 (d) 2+ i, 3

Find the consumers' surplus and the producers' surplus at the equlibrium level for the given price-demand and price-supply equations. Include a graph that identifies the consumers' surplus and the producers' surplus. Round all values to the nearest integer. p=D(x)=65.1-0.09x; p= S(x) = 10 +0.1x

A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 5 feet per minute. Find the rate at which the area is changing at the instant the radius is 15 feet.

For the jumble puzzle VOBAE, complete the parts below. a) Determine the number of possible arrangements of the letters given. b) What is the word when the letters are placed in the proper order? a) There are possible arrangements.

Describe a function g(z) in terms of f(x) if the graph of g is obtained by vertically stretching f by a factor of 7, then shifting the graph off to the right 2 units and upward 8 units. g(x) = Af(x +B) + C where

Simplify the following expression completely. 6x²/(8x^2+10x)

A pea plant must have exactly one of each of the following pairs of traits: short (s) or tall (t) and white (wh) or purple (p) flowers (for example, short with white flowers). (a) How many different classifications of pea plants are possible? There are 16 classifications.

For the given data: 22; 9; 19; 2; 38; 40; 7; 38; 44; 6; 12; 10; 20; 31; 48; 45 Determine the Quartiles, Q1, Q2 and Q3 of the data: Q1: Q2: Q3: