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The foul lines of a baseball field intersect at home plate to form a right angle. A batter hits a fair ball such that the path of the baseball forms an angle of 27° with the third base foul line. What is the measure of the angle between the first base foul line and the path of the baseball?
General
4 months ago
The circumference of an NBA-approved basketball is 29.6 in. Given that the radius of Earth is about 6400 km, how many basketballs would it take to circle around the equator with the basketballs touching one another? Round off your answer to an integer with three significant figures.
General
4 months ago
Suppose I pick a jelly bean at random from a box containing two red and ten blue ones. I record the color and put the jelly bean back in the box. What is the probability of getting a red jelly bean both times if I do this twice? (Round your answer to three decimal places.)
General
4 months ago
Patty has just completed her second semester in college. She earned a grade of Upper D in her 5-hour discrete math course, a grade of Upper B in her 3-hour sociology course, a grade of Upper C in her 1-hour engineering course, and a grade of Upper B in her 5-hour philosophy course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Patty’s grade point average for the semester.
General
4 months ago
A farmer in Country A can harvest 20 bushels of wheat or 10 bushels of corn in a day, while a farmer in Country B can harvest 8 bushels of wheat or 8 bushels of corn in a day. If Country A and Country B specialize and trade, Country A will
General
4 months ago
N points lie on a circle. You draw lines connecting all the points to each other. These lines divide up the circle into a number of regions. How many regions is this? Assume that the points are scattered in such a way as to give the maximum number of regions for that N.
General
4 months ago
If the odds against Deborah's winning first prize in a chess tournament are 2 to 7, what is the probability of the event that she will win first prize?(Type an integer or a fraction.)
General
4 months ago
On a graph where the y-axis and x-axis jump from 1 to 10 to 100, with approximately equal space between 1-10 and 10-100. Which of the following is/are reasonable interpretations of this graph?a. the variables on the axes are shown using a logarithmic scaleb. large increases in island area have relatively small effects on species numbersc. the difference in the number of species on islands measuring 1 square mile, contrasted with islands measuring 100 square miles IS THE SAME as the difference in number of species on islands measuring 10 square miles, contrasted with islands measuring 100 square milesd. all of these options are valid interpretations of this graph
General
4 months ago
Which of the following points are on the line given by the equation y = 5x?Check all that apply.A. (3,6)B. (0,1)C. (3,15D. (4,2)E. (-1,-5)F. (-1,5)
General
4 months ago
The University of Central Florida’s cheerleading team has eighteen males and twenty-one females. If h represents the height of a team member, the inequality 260 ≤ 4h + 28 < 324 , represents the range of heights of the cheerleaders, in inches. Select all possible heights for the University of Central Florida’s cheerleaders.
General
4 months ago
YUCULIONYHarris has $20.92 to spend on video-game rentals at a local video store. Thestore charges $3.95 per video-game rentalplus an 8.125% tax. What is themaximum number of video games thatHarris can rent?
General
4 months ago
Chevy has some yarn that he wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Chevy wants to use 222 kilograms of yarn to make a total of 151515 items.Let hhh be the number of hats Chevy makes and sss be the number of scarves he makes.Which system of equations represents this situation?
General
4 months ago
What is the area of a triangle with vertices at (0, −2) ,(8, −2) , and (9, 1) ?Enter your answer in the box( there is no provided image )
General
4 months ago
For what values of a does the equation 2a−4x=4−a^2x have a solution in the interval (−8, −2)?
General
4 months ago
Write the following in both standard and general formCenter: (3,-2) radius = 4Please help!!!
General
4 months ago
According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest. A random sample of 154 executive officers from these companies was selected. What is the probability that more than 20% of this sample is comprised of female employees?
General
4 months ago
An oil company is interested in estimating the true proportion of female truck drivers based in five southern states. A statistician hired by the oil company must determine the sample size needed in order to make the estimate accurate to within 3% of the true proportion with 97% confidence. What is the minimum number of truck drivers that the statistician should sample in these southern states in order to achieve the desired accuracy?
General
4 months ago
A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times.Based on the table, which function can best be used to model this situation?A) h(t)=99t^2+858B) h(t)= -4.9t^2+295+0.6C) h(t)= -4.9t^2+285t+2D) h(t)=99t^2+1,470.3
General
4 months ago
A health club currently charges its 1500 clients monthly membership dues of $ 44. The board of directors decides to increase the monthly membership dues. Market research shows that each $ 1 increase in dues will result in the loss of 5 clients. How much should the club charge each month to optimize the revenue from monthly dues?
General
4 months ago
Given the sequence below, and that sequence has a domain of n 2 1, find the fifthterm.f(n) = n2 – 3
General
4 months ago
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