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MATH SOLVE
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Suppose it costs $8 to roll a pair of dice. you get paid the sum of the numbers in dollars that appear on the dice.a. what is the expected value of the game?b. is it a fair game?
General
4 months ago
talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use: Step 1: Choose a point on the line, such as (2, 5). Step 2: Choose another point on the line, such as (1, 3). Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is. Step 4: Substitute those values into the point-slope form. y – y1 = m(x – x1) y – 3 = (x – 1) Which of Talia’s steps is incorrect? Step 1 is incorrect because it uses a point that is not on the line. Step 2 is incorrect because it uses a point that is not on the line. Step 3 is incorrect because it shows an incorrect ratio of the slope. Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form
General
4 months ago
A geometry class is asked to find the equation of a line that is parallel to y – 3 = −(x + 1) and passes through (4, 2). Trish states that the parallel line is y – 2 = –1(x – 4). Demetri states that the parallel line is y = –x + 6. Are the students correct? Explain. Trish is the only student who is correct; the slope should be –1, and the line passes through (4, 2). Demetri is the only student who is correct; the slope should be –1, and the y-intercept is 6. Both students are correct; the slope should be –1, passing through (4, 2) with a y-intercept of 6. Neither student is correct; the slope of the parallel line should be 1.
General
4 months ago
At 9:00 pm bob leaves his home and starts walking to the bus stop at a constant speed of 9.3 feet per second. bob's house is 4320 feet from the bus stop.a. define variables for the quantities that are changing (be specific).b. what does it mean to say bob walks at a constant speed of 9.3 feet per second?c. consider the formula d = 4320 – 9.3t i. what does t represent? ii. what does 9.3t represent? iii. what does d represent?
General
4 months ago
An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate. If there are 32 seats in the 8th row, and 68 seats in the 20th row, how many seats are in the last row?
General
4 months ago
To help restore a beach sand is being added to the beach at a rate of s(t) = 65+24sin(.3t) tons per hour, where t is measured in hourse since 5:00a.m. how many tons of sand are added to the beach over the 3-hour period from 7:00a.m. to 10:00a.m.?
General
4 months ago
In a binomial distribution, n = 12 and π = .60.a. find the probability for x = 5? (round your answer to 3 decimal places.) probabilityb. find the probability for x ≤ 5? (round your answer to 3 decimal places.) probabilityc. find the probability for x ≥ 6?
General
4 months ago
One-hour carbon monoxide concentrations in 43 air samples from a section of a city showed an average of 11.6 ppm and a standard deviation of 7.08. after a traffic control strategy was put into place, 19 air samples showed an average carbon monoxide concentration of 6.4 ppm and a standard deviation of 6.94. it is known that carbon monoxide concentrations are normally distributed. the state will adopt the traffic control strategy on a large scale if there is evidence that it reduces carbon monoxide concentrations by at least 2 ppm. with h_0:\mu_1-\mu_2=2; \ \ \ h_a:\mu_1-\mu_2>2 h 0 : μ 1 − μ 2 = 2 ; ha.μ 1 − μ 2 > 2 the appropriate test statistic is . at the 10% level of significance, we , which means that .
General
4 months ago
Find the sum 5/8 + 7/12A) 1 5/24B) 1/2C) 12/20 D) 5/24
General
4 months ago
In addition to prizes for first, second, and third place, the organizers of a race have a prize that they want each participant to have an equal chance of winning. Select the description of a fair method of choosing a winner for this prize. A. The tallest participant will win the prize.B. If the participants in the race each have a number, the organizers could select a number by putting slips of paper with each number into a box and randomly choosing one.C. The participant in last place will win the prize.D. Each participant gets a number of slips of paper put into a box based on their finishing place. One participant is then randomly chosen from the box.
General
4 months ago
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