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MATH SOLVE
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A bag contains purple marbles and white marbles, 34 in total. The number of purple marbles is 1 less than 4 times the number of white marbles. How many purple marbles are there?
General
4 months ago
the circular ripple caused by dropping a stone in a pond is increasing in area at a constant rate of 20 square meters per second. Determine how fast the radius of this circular ripple is increasing when the area of the circular region is 25 pi
General
4 months ago
For a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 505 and a standard deviation of 170. The grading process of this year's exam has just begun. The average score of the 35 exams graded so far is 530.What is the probability that a sample of 35 exams will have a mean score of 530 or more if the exam scores follow the same distribution as in the past?
General
4 months ago
kiaria is 7 years alder tham jay . martha is twice as old as kiaria , the sum of their three ares is 7u , find the ratio of jay,s age to kiatias age to marhas age
General
4 months ago
A sphere with a radius of 6 cm has the same volume as a cone with a height of 6 cm. What is the radius of the cone?A) 2 cm B) 4 cm C) 8 cm D) 12 cm
General
4 months ago
Consider the sequence: 5, 7, 11, 19, 35,....Write an explicit definition that defines the sequence: a_n = 2n + 3a_n = 3n + 2a_n = 3n^2a_n = 2^n + 3
General
4 months ago
A certain company has 255 employees. If an employee is to be selected at random from the company's employees, is the the probability less than 1/2 that the employee selected will be a woman who has a college degree?(1) 130 of the company's employees do not have a college degree(2) 125 of the company's employees are men
General
4 months ago
In the 6/55 lottery game, a player picks six numbers from 1 to 55. How many different choices does the player have if repetition is not allowed? Note that the order of the numbers is not important.
General
4 months ago
The mean life span of a brand name tire is 50,000 miles. Assume that the life spans of the tires are normally distributed, and the population standard deviation is 800 miles. a. If you select one tire, what is the probability that its life span is less than 48,500 miles? b. If you select 100 tires, what is the probability that their mean life span is more than 50,200 miles?
General
4 months ago
coin is flipped four times. For each of the events described below, express the event as a set in roster notation. Each outcome is written as a string of length 4 from {H, T}, such as HHTH. Assuming the coin is a fair coin, give the probability of each event. (a) The first and last flips come up heads. (b) There are at least two consecutive flips that come up heads. (c) The first flip comes up tails and there are at least two consecutive flips that come up heads.
General
4 months ago
In ΔABC shown below, ∠BAC is congruent to ∠BCA: Triangle ABC, where angles A and C are congruent Given: Base ∠BAC and ∠ACB are congruent. Prove: ΔABC is an isosceles triangle. When completed (fill in the blanks), the following paragraph proves that Line segment AB is congruent to Line segment BC making ΔABC an isosceles triangle. Construct a perpendicular bisector from point B to Line segment AC . Label the point of intersection between this perpendicular bisector and Line segment AC as point D: m∠BDA and m∠BDC is 90° by the definition of a perpendicular bisector. ∠BDA is congruent to ∠BDC by the _______1________. Line segment AD is congruent to Line segment DC by _______2________. ΔBAD is congruent to ΔBCD by the Angle-Side-Angle (ASA) Postulate. Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent (CPCTC). Consequently, ΔABC is isosceles by definition of an isosceles triangle. A.)1. the definition of congruent angles2. Angle-Side-Angle (ASA) PostulateB.) 1. the definition of congruent angles2. the definition of a perpendicular bisectorC.) 1. Angle-Side-Angle (ASA) Postulate2. the definition of a perpendicular bisectorD.) 1. Angle-Side-Angle (ASA) Postulate2. corresponding parts of congruent triangles are congruent (CPCTC)
General
4 months ago
At first a price was decreased by 12%, then it was discounted again by an additional 5%. What is the percent of the total discount?PLZ HELP DUE TOMMOROW MORNING
General
4 months ago
Pls HelpFind the measure of angle x in the figure below:Two triangles are shown such that one triangle is inverted and share a common vertex. The lower triangle has two angles at the base marked as 75 degrees each. The angle at the vertex of the inverted triangle at the top is marked as x degrees. 15° 25° 30° 60°
General
4 months ago
A restaurant has two appetizer specials. Tomato bread costs $5.50, and stuffed mushrooms cost $6.75. The total amount in sales from the two appetizers on a Friday night was $186.75. Which equation can be used to represent x, the number of stuffed mushroom orders and y, the number of tomato bread orders?
General
4 months ago
Viola has to relocate for her job. She finds a townhome with an option to rent or buy. The conditions of each are shown below. Rent: Move-in costs of $2,380 and monthly payment of $845. Buy: Move-in costs of $5,260 and monthly payment of $785. Viola moves frequently due to her job, but she thinks that she will stay in the area for 4 years. Therefore, she decided to buy. Choose the best evaluation of Viola’s decision. a. Since the costs would be the same over the 4 year period, she will have made a good decision if the property value does not decrease. b. She made a fairly good decision. Buying the townhome will be cheaper over the 4 year period as long as she doesn’t have major repairs to make. c. She made a poor decision if the property value does not increase. Renting the townhome would be cheaper over the 4 year period. d. There is not enough information given to determine which option is best.
General
4 months ago
The following section is a statement from the rental agreement Tim signed when he rented his car this past weekend. "Upon checkout, the fuel level of the vehicle will be determined by turning the vehicle on and visually inspecting the fuel gauge. The approximate fuel level will be recorded on the Check-Out sheet and verified with initials by the vehicle Renter. One copy of the Check-Out sheet will be given to the customer. Another copy will be kept with the on-site records of the vehicle. "The rented vehicle must be returned with a minimum fuel level the same as that indicated on the Check-Out sheet. A vehicle returned with a fuel level less than the approximate level indicated on the Check-Out sheet will be completely refueled with on-site pumps. The price of the fuel used to refuel the vehicle will be added to the Renter's total charge at a cost of $4.50 per gallon plus a $5.00 refueling charge." Tim is running extremely late and has just 5 minutes to return his rental car to the agency. The fuel tank in the car is half empty. It was full when he picked it up. (The car has a 12-gallon fuel tank.) He doesn't think he can get gas and get to the agency to return the car in time. Returning the car a day late will result in an extra daily rental charge of $32.00 and refueling the car on his own will cost $2.59 per gallon at the local gas station. Which of the following statements is true? a. It would be cheaper to refuel the car and return it a day late. b. It would be cheaper to return the car on time and pay the refueling costs. c. It would cost about the same to return the car on time without gas or one day late with gas. d. Tim is not responsible for refueling the car when he returns it.
General
4 months ago
Twenty words were randomly selected from a science fiction novel and a biography. The line plot shows the number of letters in each of the 20 words.Which conclusion can be drawn from the data?A) The biography has a less range of word length.B) Science fiction novels have more words than biographies.C)The words are generally much shorter in the science fiction novel than the biography.D)The median word length for both books is the same.
General
4 months ago
Complete the steps, which describe how to find the area of the shaded portion of the circle.Find the area of the sector by multiplying the area of the circle by the ratio of thea. length of the radiusb. length of the diameterc. measure of the central angled. measure of the circle to 360. Subtract the area of the triangle from the area of the sector.
General
4 months ago
InstructionsSearch your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.Complete the following. Show all work for calculations.1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).2. Describe the shape of the cross section when the box is cut parallel to the base.3. What is the surface area of the box?4. What is the surface area of the box if it is scaled up by a factor of 10?5. What is the volume of the box?6. What is the volume of the box if it is scaled down by a factor of 1/10?
General
4 months ago
Sebastian is going to choose the color, pattern, font, and image for the design of a sweatshirt for his dance team. There are 10 colors, 4 patterns, 12 fonts, and 9 images for him to choose from. (The printing company charges a fee to add extra design elements, so he will choose only one of each.)How many different sweatshirt designs are possible?
General
4 months ago
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