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Question 1158642: Set-Builder Notation and Interval Notation.
Suppose A={x is an element of real number: -2 less than or equal to X < 5 } and B= (-1, 6]
1. Find A U B and give the answer in interval notation. (7marks)
2. Write A n (intersection) B as one set using set builder notation (4marks)
Click here to see answer by MathLover1(20849)  |
Question 1158978: The function F(T) = -5T^2 + 10T + 40 models the height of a rocket shot into the air from a platform, where
is the height of the rocket from the ground, in metres, and t is the time in seconds
a. when does the rocket land?
b. what is the maximum height the rocket reaches?
c. At what time(s) is the rocket 25m above the ground?
Click here to see answer by ikleyn(52767)  |
Question 1159133: The function F(T) = -5T^2 + 10T + 40 models the height of a rocket shot into the air from a platform, where
is the height of the rocket from the ground, in metres, and t is the time in seconds.
a. what is the height of the platform?
b. when does the rocket land?
Click here to see answer by Boreal(15235)  |
Question 1159177: Salutations! As of 5/14/20, I am a seventh-grade student, currently in the e-learning classes. I need math advice. Some of my friends and acquaintances take honor math classes, and solve math problems that are hard enough to make me puzzled, in such an effortless manner. I am astonished how they solve math problems so easily, it even makes me sort of jealous. My math grades are not the best, they are 2s (my school uses a 0-4 grading scale system, so basically a C). I am barely passing by the skin of my teeth! And either it's luck or maybe the teacher feels bad for me. My point is- how can I improve my grades once and for all? I want perfect grades for the upcoming school year, I want to have math honors for high school. My one big dream is to attend Princeton University, but my grades aren't helping. Will my seventh-grade year performance affect my chances in attending Princeton? What if I get perfect grades for the rest of middle school and high school? Will I be able to attend Princeton?
Signed, a fellow student in need of some math advice.
P.S., sorry my question was so long. I hope you can give me some advice. Have a great day/night!
Click here to see answer by LChester89(3) |
Question 1159177: Salutations! As of 5/14/20, I am a seventh-grade student, currently in the e-learning classes. I need math advice. Some of my friends and acquaintances take honor math classes, and solve math problems that are hard enough to make me puzzled, in such an effortless manner. I am astonished how they solve math problems so easily, it even makes me sort of jealous. My math grades are not the best, they are 2s (my school uses a 0-4 grading scale system, so basically a C). I am barely passing by the skin of my teeth! And either it's luck or maybe the teacher feels bad for me. My point is- how can I improve my grades once and for all? I want perfect grades for the upcoming school year, I want to have math honors for high school. My one big dream is to attend Princeton University, but my grades aren't helping. Will my seventh-grade year performance affect my chances in attending Princeton? What if I get perfect grades for the rest of middle school and high school? Will I be able to attend Princeton?
Signed, a fellow student in need of some math advice.
P.S., sorry my question was so long. I hope you can give me some advice. Have a great day/night!
Click here to see answer by ikleyn(52767)  |
Question 1159204: The path of a diver is given by y = −4x +2 +8x +1
where x is the horizontal distance (in metres) from the end of the diving board and y is the height (in metres). What is the maximum height of the diver and at which horizontal distance from the end of the diving board does she reach maximum height?
Click here to see answer by ikleyn(52767)  |
Question 1159268: The Diver Time company makes digital watches for scuba divers. The company models its profits with the function P(d) = 2d^2 + 13d -6 , where d is the number of watches sold, in hundreds, and P(d) is the company’s profit, in tens of thousands of dollars.
a. how much profit is made when a 100,000 watches are sold?
b. how many watches must the company sell in order to break even?
Click here to see answer by MowMow(42)  |
Question 1159460: The volume of a right circular cone is 5 litres. Calculate the volumes of the two parts into which the cone is divided by a plane parallel to the base, one-third of the way down from the vertex to the base. Give your answers to the nearest ml.
Click here to see answer by ikleyn(52767)  |
Question 1159472: Test the indicated claim about population proportion. Use the 5 step process for hypothesis testing.
In a sample of 167 children selected randomly from one town, it is found that 37 of them suffer from asthma. At the 0.05 significance level, test the claim that the proportion of all children in the town who suffer from asthma is 11%.
1) Null and Alternative Hypothesis
2) Calculator work
3) Test statistic and P-Value
4) Conclusion about the null hypothesis
5) Final conclusion that addresses the original claim
Click here to see answer by Boreal(15235)  |
Question 1159475: x1 = 36, n1 = 64 and x2 = 47, n2 = 71;
A) Construct a 95% confidence interval for the difference between population proportions p1 - p2.
B) Write a statement that correctly interprets the confidence interval.
Click here to see answer by Boreal(15235)  |
Question 1159718: 3. The commercial manager of a radio station wants to determine whether the mean length of commercials on her station is equal to 24 seconds. A sample of 41 commercials had a mean life of 26.20 seconds. The standard deviation of all commercials at this station is 7.29 seconds.
Assuming the population distribution of commercials to be normal:
(a) Find the value of the test statistic, rounded to two decimal places?
(b) Would you reject the null hypothesis in this test, using a significance level of 1%?
Click here to see answer by Boreal(15235)  |
Question 1160184: Nick has a beautiful rectangular garden, which measures 4m by 3 m. He wants to create a uniform border of river rocks around three sides of his garden. If he wants the area of the border and the area of his garden to be equal, approximately how wide should the border be?
Click here to see answer by mananth(16946)  |
Question 1160184: Nick has a beautiful rectangular garden, which measures 4m by 3 m. He wants to create a uniform border of river rocks around three sides of his garden. If he wants the area of the border and the area of his garden to be equal, approximately how wide should the border be?
Click here to see answer by ikleyn(52767)  |
Question 1160309: What does the quadratic formula solve?
What's the vertex form of y = -2x^2 -14x +3? Show your step by step work.
A right triangle has the following measurements in centimetre, 25 is the hypotenuse, one side is x, the third side is (x + 17). What are the side lengths of the right triangle? Show your work, with a concluding statement.
Solve this equation using the Quadratic Formula. 3x^2 -2x -7. Show your work and write your answer to the nearest tenths.
Click here to see answer by josgarithmetic(39615) |
Question 1160568: a) Write an inequality that represents the story problem below.
b) Solve the inequality to find the amount of time you can rent the bicycle. c) Graph your solution on a numberline.
You want to rent a bicycle to use on the Falling Waters Trail. There is an initial $6.00 fee that allows you to use the bike for 3 hours. There is an additional fee of $2.00/hour for every hour after that. You have $15.00 that you can spend on renting the bicycle.
Click here to see answer by Theo(13342)  |
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