Math Questions

Suppose the points from a class total 1000 points and are divided into 600 points on the Exams and 400 points on Homeworks. If you averaged 75% on the exams and 90% on the homeworks, what is your overall percentage? Try to answer this with rate and mixture equation that we have used in many contexts.

Identify whether the following equation represents an exponential function. g(x) = -22.85x - 50.75 NOT an exponential function exponential function

A girl flies a kite at a height of 300 ft, and the wind carries the kite horizontally away from her at a rate of 25 ft/sec. How fast must she let out the string when the kite is 500 ft away from her?

Under which condition is the sample proportion, P, a point estimate of the population proportion? A. The sample proportion is never a point estimate of the population proportion. B. The sample proportion is unbiased. C. The sample represents a proportion of the population. D. The sample size, n, is small enough.

The size of a stray cat population at the bay area of a certain city grows at a rate of 8% monthly. If there are 350 stray cats currently, find how many stray cats should be expected in 24 months. Use P(t)= 350e0.08t, and let t be 24 months. (Round your answer to the nearest whole number.)

A number cube is biased to land on the number 3 about 50% of the time. It is rolled 42 times, and the outcomes are recorded. The least likely result for the number cube to land on the number 3 is times.

Suppose you pay $2.00 to roll a fair die with the understanding that you will get back $4.00 for rolling a 2 or a 1, nothing otherwise. What is your expected net winnings? $4.00 -$2.00 -$0.67 $2.00

The length, width, and height of a box are measured as 8 ft, 7 ft, and 6 ft, respectively, with an error in measurement of at most 0.1 ft in each. Use differentials to estimate the maximum error (in feet) in the calculated volume of the box.

In order to efficiently bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estimating the average time it takes to install tile flooring. Previous contracts indicate that the standard deviation is 4.5 hours. How large a sample must be selected? 5 20 4 19

The scores on a certain test are normally distributed with a mean score of 69 and a standard deviation of 4. What is the probability that a sample of 90 students will have a mean score of at least 69.4216? 0.1587 0.3174 0.3413 0.8413

At one college, the distributions of GPA's is bell- shaped with a mean of 2.8 and a standard deviation of 0.4. According to the Empirical rule, about what percentage of students at the college have a GPA between 2.4 and 3.2? 99.74% 95.44% 84.13% 68.26%

Compute the slope (constant rate of change) of the line connecting the points. (-10, 21) and (20,-24). If the slope is undefined, enter N/A in the blank. The slope (constant rate of change) is

Ms. Scott will pay $2,000 to have her house painted. The amount each painter earns, A, varies inversely for the number of painters, n, that will paint the house. Which equation best represents this situation?

b = 2.35 +0.25x c = 1.75 +0.40x In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken? A) $2.60 B) $2.85 C) $2.95 D) $3.35

Hans is performing an experiment examining how salt affects the speed at which water freezes. He fills four equally sized containers with the same amounts of water. Then, In three of the containers, he stirs in varying amounts of salt. The fourth container remains plain water. Hans places all four of the containers in the same freezer and checks the containers every five minutes, recording when the water in each container freezes solid. In this situation, what do Hans's time measurements represent? A the response group B. the explanatory variable C. the control group D. the response variable

Look at an example of a polynomial 7x³ - 2x²+x-5, we say that the degree of this polynomial is 3, which is the highest power. For this week's discussion, briefly explain how the degree of a divider is compared to the degree of the remainder. Divide the following expression, and compare the degree of the divider: x+3 and the degree of the remainder: (7x3-2x²+x-5)/x + 3

It has been reported that 47% of the general consumer population in the United States is loyal to the automobile manufacturer of their choice. Suppose Chevrolet did a study of a random sample of 1006 Chevrolet owners and found that 490 said that they would buy another Chevrolet. Does this indicate that the population proportion of consumers loyal to Chevrolet is more than 47%? Use a = 0.01.

Outside a home, there is a 6-key keypad with letters A, B, C, D, E and F that can be used to open the garage if the correct six-letter code is entered. Each key may be used only once. How many codes are possible? The number of possible codes is

A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is 940 milligrams. A random sample of 44 breakfast sandwiches had a mean sodium content of 944 milligrams with a standard deviation of 18 milligrams. Is there sufficient evidence to say that the sodium content is more than 940 milligrams. Use a 1% level of significance. Conduct the appropriate hypothesis test.

Last year, Amanda had $20,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1720 in interest. How much did she invest in each account? Note that the ALEKS graphing calculator can be used to make computations easier. First account: $ Second account: $

In order to be accepted into a top university, applicants must score within the top 5% on the SAT exam. Given that the test has a mean of 1000 and a standard deviation of 200, what is the lowest possible score a student needs to qualify for acceptance into the university? 1250 1100 1329 1400

P(q) = -0.01(q-250) (q - 80) The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q cupcakes are produced. What is the best interpretation of the number 80 in this context? A 80 is a number of cupcakes for which the profit is equal to $0. B 80 is the number of cupcakes that corresponds to the maximum profit. C 80 is the number of cupcakes that corresponds to the minimum profit. D $80 is the maximum profit, in dollars.

Two ships leave the same port at the same time. The Explorer is traveling at a bearing of N 17° W at 43 miles per hour and the Adventurer is traveling at a bearing of S 73° W at 37 miles per hour. a) How far apart are the two ships after 3 hours of travel? b) If the ships lay anchor after three hours and a small boat travels directly from The Explorer to the Adventurer, at what bearing should the boat travel?

You want to create a custom border for a picture of you and your family. The picture measures 8 inches by 10 inches. What should the width of the picture frame be if the final area, including the picture, is three times the area of the picture by itself? • Write answer as a number only. Round answer to two decimal places in needed.

Divide and check your answer. 61+7 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The quotient is with no remainder. B. The quotient is with a remainder of OC. The quotient is undefined.

Ricardo transformed the quadratic parent function f(x) to create g(x). After the transformation, he noticed that the domain and range were the same for f(x) and g(x). Which of the following could NOT represent g(x)?

Claire opened a savings account with $1800 that pays no interest. She deposits an additional $160 each week thereafter. Write a recursive formula to show how much money Claire has in the account n weeks after opening the account. ao = an

If two legs of a right triangle are 5 and 7, what is the measure of the hypotenuse? 8.6 8.3 9.2 8.9

A math class has 7 girls and 1 boy in the seventh grade and 2 girls and 6 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both boys? Write your answer as a fraction in simplest form.

Identify the independent and dependent variables for the given linear situation. Write an equation that represents the linear relationship between the variables. Use the equation to answer the question. Be prepared to show how you used the function equation to answer the question. Situation: There is a linear relationship between the price a shop charges for a product and the quantity of that product that will sell at that price. If the shop charges $6 for a t-shirt, they will sell 27 of them that week. If the shop charges $14 for a t-shirt, they will sell only 3 of them that week. Question: How much did the shop charge for a t-shirt if they sold 45 t-shirts in one week? Round final answers to the nearest cent if rounding is necessary. Answer: They charged $

4. (Like 2003 Exit) Myesha makes hand-painted pots. Her overhead costs are $650 per week, and she pays an additional $12 per pot in material costs. What will be her total expenses if she sells 50 pots this week. A $250 B $650 C $1250 D $1650

The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a standard deviation of 2.63 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.52 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? Z= b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. % c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? Z= d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. %

You pick a card from a deck. If you get a face card (J,Q,K), you win $5. If you get an ace, you win $30 plus an extra $60 for the ace of hearts. For any other card you win nothing. Find the expected value you will win. *

The number of cartoons watched by Mrs. Kelly's first grade class on Saturday morning is shown below: X P(x) 0 0.15 1 0.20 2 0.30 3 0.10 4 0.20 5 0.05 Find the probability that a student watches at most two cartoons. 0.85 0.20 0.35 0.65

Justin opened a savings account with $900 that pays no interest. He deposits an additional $190 each week thereafter. How much money would Justin have in the account 30 weeks after opening the account?

How many different arrangements of 4 letters can be formed if the first letter must be W or K (repeats of letters are allowed)? There are different 4-letter combinations that can be formed. (Simplify your answer.)

License plates in a particular state display 2 letters followed by 2 numbers. How many different license plates can be manufactured for this state? There are different license plates that can be manufactured for this state.

The probability that a tennis set will go to a tiebreaker is 16%. In 420 randomly selected tennis sets, what is the mean and the standard deviation of the number of tiebreakers? mean: 67.2; standard deviation: 8.2 mean: 63; standard deviation: 7.51 mean: 67.2; standard deviation: 7.51 mean: 63; standard deviation: 8.2

Dakota wants cover his patio with concrete pavers. If the patio is shaped like a trapezoid whose bases are 16 feet and 18 feet and whose height is 14 feet, how many square feet of pavers will he need?

2. A student bought a pair of sunglasses in the USA and paid $35.50. In England, an identical pair of sunglasses costs £26.99. The exchange rate is £1 = $1.42. In which country were the sunglasses cheaper, and by how much?

Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point? 4 feet 3 feet 5 feet 6 feet

7) It takes a hose 5 minutes to fill a rectangular aquarium 9 inches long, 10 inches wide, and 13 inches tall. How long will it take the same hose to fill an aquarium measuring 1.5 feet by 2 feet by 2.5 feet?

A doctor gives a patient a 60% chance of surviving bypass surgery after a heart attack. If the patient survives the surgery, then the patient has a 25% chance that the heart damage will heal. Find the probability that the patient survives the surgery and the heart damage heals. The probability is

A survey of 2450 golfers showed that 281 of them are left-handed. Use this data to construct a 98% confidence interval for the proportion of golfers that are left- handed. (0.369, 0.451) (0.203, 0.293) (0.100, 0.130) (0.683, 0.712)

A random sample of 40 students has a mean annual earnings of $3120 and a population standard deviation of $677. Use this sample data to construct a 95% confidence interval for the population mean, μ, of all student earnings. ($2910, $3330) ($1987, $2346) ($4812, $5342) ($210, $110)

Given the following equation, what is the location of the center point and what is the length of the semi-minor axis? (x-2)²/81 + (y+1)²/25 =1 (2,-1) and 25 (2,-1) and 5 (-2,1) and 5 (-2,1) and 25

A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a club or diamond. (b) Compute the probability of randomly selecting a club or diamond or heart. (c) Compute the probability of randomly selecting a king or spade. a. P(club or diamond) = 0.5 (Round to three decimal places as needed.) b. P(club or diamond or heart) = (Round to three decimal places as needed.)

The population of rabbits on an island is growing exponentially. In the year 2001, the population of rabbits was 2400, and by 2004 the population had grown to 2900. Predict the population of rabbits in the year 2012, to the nearest whole number.

An object is dropped from a tower, 166 ft above the ground. The object's height above ground t sec into the fall is s=166-16t² a. What is the object's velocity, speed, and acceleration at time t? b. About how long does it take the object to hit the ground? c. What is the object's velocity at the moment of impact? The object's velocity at time t is

A class has 35 students. In how many different ways can six students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the six students can form a group for an activity. (Type a whole number.)