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MATH SOLVE
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A total of 1010 students are entered in a drawing to win 33 identical prizes. The group of students is composed of 66 boys and 44 girls. What is the probability that 22 boys and 11 girl win prizes?
General
2 months ago
Which problem can be represented by the equation 49y−8=89 ?A. A water filter filters 89 ounces of water per day. The first 8 ounces of water cannot be consumed and must be dumped out. How many days will it take the water filter to produce 49 ounces of consumable water?B. A water filter filters 49 ounces of water per day. The first 8 ounces of water cannot be consumed and must be dumped out. How many days will it take the water filter to produce 89 ounces of consumable water?C. A water filter filters 89 ounces of water per day. The first 49 ounces of water cannot be consumed and must be dumped out. How many days will it take the water filter to produce 8 ounces of consumable water?D. A water filter filters 8 ounces of water per day. The first 49 ounces of water cannot be consumed and must be dumped out. How many days will it take the water filter to produce 89 ounces of consumable water?
General
2 months ago
Which describes the transformation? Select three options,
General
2 months ago
Which of the following are exact numbers?~The mass of a paperclip~The surface area of a dime~The number of inches in a mile~The number of ounces in a pound~The number of microseconds in a week~The number of pages in this worksheet (1)
General
2 months ago
Trucks that travel on highways have to stop at various locations to be weighed and inspected for safe brakes and light systems. Of these trucks, 76% are on interstate commerce while 24% are intrastate. Of the intrastate trucks, 3.4% are flagged for safety defects compared to 0.7% of those that are on interstate business. Complete parts a through c below. a. Calculate the probability that a randomly chosen truck is an interstate truck and is not flagged for a safety violation. The probability is nothing. (Round to three decimal places as needed.)
General
2 months ago
Consider purchasing a system of audio components consisting of a receiver, a pair of speakers, and a CD player. Let A1 be the event that the receiver functions properly throughout the warranty period, A2 be the event that the speakers function properly throughout the warranty period, and A3 be the event that the CD player functions properly throughout the warranty period. Suppose that these events are (mutually) independent with P(A1) 5 .95, P(A2) 5 .98, and P(A3) 5 .80.a. What is the probability that all three components function properly throughout the warranty period?b. What is the probability that at least one component needs service during the warranty period?c. What is the probability that all three components need service during the warranty period?d. What is the probability that only the receiver needs service during the warranty period?e. What is the probability that exactly one of the three components needs service during the warranty period?f. What is the probability that all three components function properly throughout the warranty period but that at least one fails within a month after the warranty expires?
General
2 months ago
2. Nine more than the opposite of a number is three less than twice the number. What isthe number?
General
2 months ago
Choose the correct elements in the set for the following:{y | y is an integer and y > -2}{3,4,5,6,...}{ 2,3,4,5,6,...}{−2,−1,0,1,2,3,...}{0,1,2,3,..}
General
2 months ago
Write cos(arcsin3x +arccos x) as an algebraic expression of x that does not involve trigonometric functions.
General
2 months ago
NEED HELP ASAP SOMEBODY I WILL MARK BRAINLIEST IF CORRECT(02.03)Figure STOP is reflected about the y-axis to obtain figure STO'P:A coordinate plane with two quadrilaterals is shown. Figure STOP has vertices S at negative 2 comma negative 1, T at negative 1 comma negative 4, O at negative 4 comma negative 5, and P at negative 5 comma negative 4. Figure S prime T prime O prime P prime has vertices S prime at 2 comma negative 1, T prime at 1 comma negative 4, P prime at 5 comma negative 4, and O prime at 4 comma negative 5.Which statement best describes the relationship between the two figures? The measure of angle S is equal to the measure of angle P’. The measure of angle P is equal to the measure of angle T’. Figure STOP is congruent to figure S’T’O’P’. Figure STOP is bigger than figure S’T’O’P’.
General
2 months ago
Product #1: iTech Device The current resale value is $300. The resale value is expected to decrease by 30% per year for the next several years. Product #2: Dynasystems Device The current resale value is $300. The resale value is expected to decrease $45 per year for the next several years. Define formulas to model the expected resale value, V, in dollars for each device as functions of the number of years from now, x.
General
2 months ago
Find a quadratic function with roots x = 8 and x = 9.
General
2 months ago
Nick can purchase each milkshake for $2. For the first milkshake purchased Nick is willing to pay $4, for the second milkshake $3, for the third milkshake $2 and for the fourth milkshake $1. What is the value of Nick's consumer surplus for the milkshakes he buys?
General
2 months ago
Select the correct answer from each drop-down menu.y= x2 - 6x + 82y + x = 4The pair of points representing the solution set of this system of equations isandResetNext
General
2 months ago
Select the statement that best justifies the conclusion based on the given information.B is between A and CConclusion: A, B and C are collinear.(answers:)a) Definition of betweenness.b) Definition of collinear.c) Through any two different points, exactly one line exists.d) A line contains at least two points.
General
2 months ago
A teacher was interested in knowing the amount of physical activity that his students were engaged in daily. He randomly sampled six students in his class and recorded the number of minutes that they exercised in the past day. The numbers were 30mins, 40 mins, 60 mins, 80 mins, 20 mins, and 85 mins. What’s the standard error of the mean
General
2 months ago
A 20 foot ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the nearest tenth of a foot
General
2 months ago
identify the center of the ellipse with equation x^2+2y^2-10x+8y+25=0
General
2 months ago
Sharon tried to solve an equation step by step.\qquad\begin{aligned} 9&=-3(e-2)\\\\ \\ 9&=-3e+6&\green{\text{Step } 1}\\\\ \\ 15&=3e&\blue{\text{Step } 2}\\\\ \\ 5&=e&\purple{\text{Step } 3}\\\\ \end{aligned} 99155 =−3(e−2)=−3e+6=3e=e Step 1Step 2Step 3 Find Sharon's mistake.
General
2 months ago
Show answer with work please! Clare volunteers at a local library during the summer. Her work includes putting labels on 750 books. How many minutes will she need to finish labeling all books if If she takes no breaks and labels:a. 10 books a minuteb. 15 books a minuteSuppose Clare labels the books at a constant speed of books per minute. Write an equation that represents the relationship between her labeling speed and the number of minutes it would take her to finish labeling.
General
2 months ago
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