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MATH SOLVE
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Keith is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than usual. When he weighs one of the sticks, he finds that it is 2.23 oz. The manufacturer's website states that the average weight of each stick is 1.85 oz with a standard deviation of 0.18 oz. Assume that the weight of the drumsticks is normally distributed.What is the probability of the stick's weight being 2.23 oz or greater? Give your answer as a percentage precise to at least two decimal places.
General
4 months ago
Including which of the following points in the function {(ball, circle), (kite, diamond), (stop sign, octagon)} would make it no longer be a function? (ball, bounce) (eight, octagon) (triangle, triangle)
General
4 months ago
The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a random sample of n = 5 specimens will have a sample mean diameter that falls in the interval from 2499 psi to 2510 psi.
General
4 months ago
The blood type O negative is called the "universal donor" type because it is the only blood type that may safely be transfused into any person. Therefore, when someone needs a transfusion in an emergency and their blood type cannot be determined, they are given type O negative blood. For this reason, donors with this blood type are crucial to blood banks. Unfortunately, this blood type is fairly rare; according to the Red Cross, only 7 percentage of U.S. residents have type O negative blood. Assume that a blood bank has recruited 20 unrelated donors. (State calculator entry and give 4 decimal places) What is the probability that fewer than three of them will have type O negative blood? What is the probability that more than 4 of them have type O negative blood? Find the probability that none of the donors had type O negative blood. Would this be unusual? Explain. What is the mean of the number of donors who have type O negative blood for a group this size? What is the standard deviation of the number of donors who have type O negative blood for a group this size?
General
4 months ago
A game uses a special deck of cards. Each card has either one, two, or three identical shapes, all of the same color and style. There are threethree possible shapes: squiggle commasquiggle, diamond commadiamond, and ovaland oval. There are fourfour possible colors: green comma purple comma red comma and yellowgreen, purple, red, and yellow. There are threethree possible styles: solid comma shaded comma or outlinedsolid, shaded, or outlined. The deck consists of all possible combinations of shape, color, style, and number of shapes. How many cards are in the deck?
General
4 months ago
Incoming students to a certain school take a mathematics placement exam. The possible scores are 1, 2, 3, and 4. From past experience, the school knows that if a particular student's score is x {1,2,3,4}, then the student will become a mathematics major with probability x-1/x+3 Suppose that the incoming class had the following scores: 10% of the students scored a 1, 20% scored a 2, 60% scored a 3, and 10% scored a 4. What is the probability that a Randomly selected student from the incoming class will become a mathematics major? Express your answer as a fraction in lowest terms. Suppose a randomly selected student from the incoming class turns out to be a mathematics major. What is the probability that she scored a 4 on the placement exam? Express your answer as a fraction in lowest terms.
General
4 months ago
Two distinct solid fuel propellants, type A and type B, are being considered for a space program activity. Burning rates of the propellant are crucial. Random samples of 12 specimens of propellant A are taken with sample means of 84 cm/sec with a standard deviation of 4. And, random samples of 18 specimens of propellant B are taken with sample means of 77 cm/sec with a standard deviation of 6. Find a 99% confidence interval for the difference between the average burning rates for the two propellants. Assume the populations to be approximately normally distributed with equal variances.
General
4 months ago
Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is dx/dt=5000(1−100/(t+10)2)calculators/week (Notice that production approaches 5000 per week as time goes on, but the initial production is lower because of the workers’ unfamiliarity with the new techniques.) Find the number of calculators produced from the beginning of the third week to the end of the fourth week.
General
4 months ago
Suppose that you have a possibly biased coin that gives Heads with probability p , where p is unknown (0
General
4 months ago
Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 times as many messages as kira. How many messages did they each send
General
4 months ago
The perimeter of a basketball court is 90 meters and the length is 6 meters longer than twice the width. What are the length and width?
General
4 months ago
university administrators are becoming more and more alarmed at the number of hours students work per week while attending the university. To study this issue, one administrator was assigned to examine the relationship between the number of hours worked per week in a semester and that semester's GPA for a random sample of students.In this study, what is the explanatory variable?
General
4 months ago
The velocity function (in meters per second) is given for a particle moving along a line.v(t) = 3t − 8, 0 ≤ t ≤ 3(a) Find the displacement.(b) Find the distance traveled by the particle during the given time interval.
General
4 months ago
what expression shows a way to find 20% of 950?
General
4 months ago
kmTwo buses leave a station at the same time and travel in opposite directions. One bus travels 10 - - slower than the other. If the two buses are 1442kilometers apart after 7 hours, what is the rate of each bus?Rate of the slower bus:X5?Rate of the faster bus:
General
4 months ago
Bart used place value and the distributive property to rewrite the expression 6(412). His work is shown below. 6(412) = 6(400 + 10 + 2) What should Bart do to find the product? Select all that apply. Multiply 6(400) and multiply 10(2). Multiply 6(400), 6(10), and 6(2). Multiply 6(400) and then add (10 + 2). Multiply each addend by 6. Find the sum of (2400 + 60 + 12).
General
4 months ago
A laptop computer is purchased for $1500 after each year the resale value decreases by 25% what will the resale value be after three years
General
4 months ago
Kristin wants to spend no more than $50 for a birthday dinner at a restaurant, including a 15% tip. What is the most that the meal can cost before tip
General
4 months ago
In a recent survey of drinking laws, a random sample of 1000 women showed that 65% were in favor of increasing the legal drinking age. In a random sample of 1000 men, 60% favored increasing the legal drinking age. Test the hypothesis that the percentage of men and women favoring a higher legal drinking age is the same. Use α = 0.05.
General
4 months ago
a ratio of north america butterflies to soulth american butteries at a butterflies at the park is 5:3. the ratio of south american butterflies to eurpopean butterflies is 3:2. There are 30 north american butterflies at the butterflies at the butterfly park. how many south american butterflies are there
General
4 months ago
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