Basic Math Questions and Answers

This question: 1 point(s) possible Assume that math test scores are normally distributed with a mean of 500 and a standard deviation of 100. If you were to score 300 on this exam, what percentage of those taking the test scored below you? Click the icon to view the table of z-scores. What percentage of those taking the test scored below you? (Round to the nearest tenth as needed.)

Consider the following function. Correct w(x) = (x-4)³ Step 1 of 2: Determine the more basic function that has been shifted, reflected, stretched, or compressed.

What is the percent difference between 3.97 AU and 2.77 AU, calculate two places past the decimal, % different =

A scientist wants to measure out 0.31 liters of a liquid, but she can only find a beaker that measures volume in centiliters. How many centiliters should she measure to equal 0.31 liters? 31 centiliters 3.1 centiliters 0.0031 centiliters 310 centiliters

Three CDs cost $42.18. If each CD costs the same, how much did one CD cost? $11.06 $14.06 $39.18 $45.18

Auburn the cat knocks a flower pot out of an apartment window from a height of 784 ft and falls toward Earth in a straight line. a. Write a function s(t) to represent the position of the flower pot at any time t. b. How many seconds after being knocked out of the window does the pot hit the ground? C. What is the average velocity of the flower pot during the time it is falling? d. What is the instantaneous velocity of the flower pot when it hits the ground?

A vertical pole, 75 feet tall, casts a shadow onto the ground. If the angle of elevation from the tip of the shadow on the ground to the top of the pole is 0 = 60°, use the dimensions given to find the length of the shadow, a, to the nearest tenth of a foot. (Do not include units in your answer)

Julian will factor the expression 36xyz +24xy-16x by dividing each term by a common factor. Which possible common factors could Julian use? Select each correct answer. A 6 B 4x C Y D 8 E 6y F X G 2 H 2xy

Which rational number also belongs to the set of natural numbers? .O -12 O O 15 O 0.1666...

ay be uneven because questions can be worth more or less (including zero) depending on your answer Cathy can text message about 54 words per minute. If she types at this rate for 30 minutes, about how many words will she type? O 1500 1620 O 2700 5400 Question ID: 489949

The sequence is given. Part A: Assuming the pattern continues, list the next four terms in the sequence. Show all necessary math work. (4 point Part B: Write the explicit equation for f (n) to represent the sequence. Show all necessary math work. (4 points) Part C: Is the sign of f (53) positive or negative? Justify your reasoning mathematically without determining the value of f

Refer to the given figure, an isosceles triangle with AB = BC. If angle B measures 26°, then find the measures of angle A and angle C. The measure of angle A is 0 ・・・・・T THEE A B C D

In the addition problem below, the numbers being added have unknown digits signified by the letters "A" and "B". Assume that the unknown digits named by the same letter are the same digit. Determine which of the following choices best describes the relationship of missing digits. * 1A6B + 8AB = 2314 A + B = 7 A-B = 3 B-A=3 A + B = 12 I don't know.

How many different committees can be formed from 8 teachers and 37 students if the committee consists of 3 teachers and 3 students? In how many ways can the committee of 6 members be selected?

John must score 80 % correct on a test to qualify for a job. His score was 27/36. Does he qualify? What is his percent correct? Yes. 80% Yes. 90% No. 70% No. 75%

Use matrices to solve the system of linear equations, if possible. Use Gauss-Jordan elimination. (If not possible, enter IMPOSSIBLE. If the system is dependent, express x and y in terms of the parameter a.) (2x (2xy + 3z = 19 z 18 =8 2y 7x - 5y (x, y, z) = (

Which statements are true for irrational numbers written in decimal form? A. Irrational numbers are nonterminating and repeating. B. Irrational numbers are nonrepeating. C. Irrational numbers are terminating. B and C B C A

1. Jack and Jill both ordered pizzas from Wayne's Pizza for their parties. Jack paid $58.50 for 3 pepperoni pizzas and 2 plain pizzas. Jill paid $67 for 2 pepperoni pizzas and 4 plain pizzas. How much does Wayne's Pizza charge for a plain pizza and for a pepperoni pizza? Step 1: Identify the variables. Step 2: Set up the system. Step 3: Solve the system. Step 4: Answer the question.

The corresponding sides of AABC and ADEF have equal lengths. The area of AABC is 4 square units, and the longest side of ADEFIs 5 units long. What is the area of ΔDER A. 2 square units B.4 square units C. 20 square units D.10 square units

Farmers use Fertilizers imported from China and each bag of fertilizer (20 kg) is marked the direction how to use the fertilizer and the unit is given in terms of Kilograms per hectare(kg/ha). In United States it is customary for farmers to use the unit in terms of pounds per acre(lb./A) (1 Lb./ac = 0.892 kg/ha) a) How many bags of fertilizers are needed if the farmer had done cultivation in 20 acres land?

Consider the following algebraic expression: 7t-4 Identify the first term of the algebraic expression. Indicate whether the term is a variable term or a constant term. For a variable term, identify the variable and the coefficient of the term.

Sara is making punch for her party. Her punch bowl holds 600 ounces for 80 servings of punch. How many ounces of punch are in each serving? A 60 ounces B 9.5 ounces C 7.5 ounces D 0.75 ounce

A jar contains 6 red marbles numbered 1 to 6 and 8 blue marbles numbered 1 to 8. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions. (a) The marble is red. P(red)= (b) The marble is odd-numbered. P(odd)= (c) The marble is red or odd-numbered. P(red or odd) = (d) The marble is blue or even-numbered. P(blue or even) =

A missile was fired from a submarine from 470 feet below sea level. If the missile reached a height of 13900 feet before exploding, what was the change in the altitude of the missile?

In the diagram below of triangle IJK, L is the midpoint of IK and M is the midpoint of JK. If LM = 4x + 8, and IJ = 5x + 22, what is the measure of LM?

A bag of M&M's has 7 red, 3 green, 6 blue, and 8 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?

There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 217.5 grams of this cereal.

1. Write the sentence as an inequality: The difference of a number x and 14 is less than or equal to -3. The inequality is: 2. Tell whether the value is a solution of the inequality: 4x-20 ≥ 10; x = 6

Find the value of the expression. 25.2 - 32 + 12.4 - (- 5.3) =

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image MNOPQ. The coordinates of point Mare (2, 4), and the coordinates of point Nare (3, 5).

Last year's enrollment was 186 students greater than this year's enrollment. Last year, there were 3479 students enrolled. i) If L represents last year's enrollment and T represents this year's enrollment, what formula accurately reflects the relationship between the two variables? ii) How many students were enrolled this year? i) L = T - 186 ii) There are 3665 students enrolled this year. i) T = L - 186 ii) There are 3665 students enrolled this year. i) L = T - 186 ii) There are 3293 students enrolled this year. i) T = L - 186 ii) There are 3293 students enrolled this year.

You are ready to spend your Christmas money! You go to your favorite store and buy some jewelry. They are running a sale where everything is $10! You got $130 for Christmas and don't have any more than that to spend. Write an inequality to represent how many pieces of jewelry (j) you can buy. I

A four member relay team decided they wanted new workout clothes. Shirts cost $10 each, sweats cost $26 each and sweatshirts cost $18 each. What is the total cost of the new outfits for all of the members? $54 $60 $216 $240

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 60 kilograms. A delivery of 5 large boxes and 6 small boxes has a total weight of 118 kilograms. How much does each type of box weigh?

ABCD is similar to polygon PQRS. Each side of polygon ABCD is 1 1/2 times longer than the corresponding side of polygon PQRS. If the perimeter of polygon ABCD is 15 inches, what is the perimeter of polygon PQRS? A. 22 1/2 inches B. 10 inches C. 37 inches D. 16 1/2 inches

Isabel is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of Math is Fun she sells. Suppose that s and y are related by the equation y-2200+120x. Answer the questions below. Note that a change can be an increase or a decrease. For an Increase, use a positive number. For a decrease, use a negative number. What is the change in Isabel's total pay for each copy of Math is Fun she sells? What is Isabel's total pay if she doesn't sell any copies of Math is Fun?

*Going from percent to fraction 1- Drop the percent sign and move the decimals twice to the left. Example: 65% 2- Put the numbers to the right of the decimal over the place its holding. 3- Simplify by reducing the fraction.

If you are plotting the product of two numbers on a number line, which of the following is true for the product (-3) - 4? 1) Each movement is the size of 4 units. 2) We move 3 "jumps" in a positive direction. 1) Each movement is the size of 3 units. 2) We move 4 "jumps" in a negative direction. 1) Each movement is the size of 4 units. 2) We move 4 "jumps" in a negative direction. 1) Each movement is the size of 3 units. 2) We move 4 "jumps" in a positive direction.

A person invests 5500 dollars in a bank. The bank pays 5.75% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14700 dollars?

A voter polling research group determined that 41% of the voters in a country would vote for the democratic candidate with a ±4% margin of error. If they anticipate only 12,000 people will turn out to vote in the election, which would represent the possible number of voters for the democratic candidate. 4440 to 5400 voters 4916 to 4924 voters 480 to 960 voters 4680 to 5160 voters

Which pair of numbers are not opposites? 72 and - 72 27 and -27 27 and |-27| 171 and -7

Select the correct answer. Polygon XYZWis dilated by a scale factor of 2 with point T as the center of dilation, resulting in the image XYZW. If point Tlies on YZ, what can be said about Y'Z'? A Y'Z' passes through point 7but has a different slope than YZ. B. Y'z' passes through point 7 and has the same slope as YZ. C. y' does not pass through point T but has the same slope as YZ. D. Y'z' does not pass through point 7 and has a different slope than YZ.

Carissa has $250 in her checking account and is saving $15 each week. Brooke has $750 in her checking account and is spending $10 each week. How many weeks will it take for Carissa and Brooke to have the same amount of money in their accounts?

I visited friends in New York City during the summer. They took me to this HUGE Wal-Mart store. There was a display of cookie boxes that I couldn't believe! The display was in a pyramid shape with at least 100 boxes as the base. I had to stand back and wonder how many boxes were in the whole display. I imagine when they started building the display it might have looked like the pictures below. How many boxes of cookies are in a display with a base of 5 boxes? 10 boxes? Can you come up with a rule for finding the number of boxes in a display that is 100 boxes in the base like the one I saw???? 1 box base 2 box base 3 box base

The function f(x) = 9x - 3 is one-to-one. (a) Find the inverse of f and check the answer. (b) Find the domain and the range of f and f-¹. (c) Graph f, f-1, and y=x on the same coordinate axes. (a) f-¹(x)= (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Find the equation (in terms of a) of the line through the points (-2,-4) and (5,-1)

A mortgage company charges customers a late fee for late payments that is based on the outstanding balance on the loan. Suppose that a company charges a late fee of 36% simple interest on a mortgage payment of $4000. How much do you owe if you make the payment one month late?

A right circular cone is placed with the wide, circular side on a table so that the vertex (the sharp point) is up. Assume that the cone is 28 inches high, and that the radius of the circular base is 21 inches. Next, cut off the top of the cone (cutting parallel to the table) at a height which creates a circular cross section of radius 12 inches. You now have what is known as a "truncated" cone. Imagine now that you have a lampshade in the shape of this truncated cone. Inside the lampshade is a spherical plastic ball that houses the light bulb. The spherical plastic ball is completely inside the lampshade, and the ball is tangent to both the circular top and to the circular bottom of the lampshade. Find: (a) The volume of the lamp shade. (b) The volume of the spherical plastic ball. (c) The volume of the part of the lampshade that is not occupied by the spherical plastic ball.

Mrs. Larsen was making gift bags for the 6 students in her reading group. She was putting little erasers in the bags. She had a bag of 20 erasers. How many erasers did each student get? Show all your work.

Step 2 of 2: Given the following parameters for a sampling distribution of sample proportions, calculate the standard score of the sample proportion. Round your answer to two decimal places. p = 0.51. x = 59, n = 100