Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race. Which subset, cap A , of the sample space shows the complement of the event in which Oliver is the first skater in the race?
Which expression is equivalent to cosine 120 degrees ?
How long is the arc intersected by a central angle of 5 pi over 3 radians in a circle with a radius of 2 ft? Round your answer to the nearest tenth. Use 3 point 1 4 for pi
The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24 pi cubic units. What is the height of the cylinder?
There are 2 comma 100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3 point 1 4 for pi ) Area of a circle is equal to pi r squared
Two students created a game of dice. They determined that each roll would add the value of the die if it was an odd number. If the roll was even, it would subtract the value of the die. (For example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) What is the expected value for this game?
What is the radius of a circle whose equation is x squared plus y squared minus 10 x plus 6 y plus 18 is equal to 0 ?
The volume of a cone is 3 pi x cubed cubic units and its height is x units. Which expression represents the radius of the cone’s base, in units?
Jaxon has a bag of marbles. He draws one marble from the bag. Before drawing another marble from the bag, what could Jaxon do to ensure that the events are independent of each other?
What is 3 pi over 4 radians converted to degrees? If necessary, round your answer to the nearest degree.
A security alarm requires a four-digit code. The code can use the digits 0 - 9 and the digits cannot be repeated. What is the approximate probability that the code only contains odd numbers?
A four-person committee is chosen from a group of eight boys and six girls. If students are chosen at random, what is the probability that the committee consists of all boys?
A standard deck of 52 playing cards contains 13 cards in each of four suits: hearts, diamonds, clubs, and spades. Four cards are drawn from the deck at random. What is the approximate probability that exactly three of the cards are diamonds?
A circular disc has an area that measures between 1 comma 650 and 1 comma 700 square inches. What could be the length of its radius? Use 3 point 1 4 for pi
The probability for event cap A is 0 point 3 , the probability for event cap b is 0 point 6 , and the probability of events cap A or cap b is 0 point 8 Why are the events not mutually exclusive?
Fifty-five percent of the members of the junior varsity swim team wear glasses. Of the team members who do not wear glasses, 30 percent percent of them are in the 10 th grade. To the nearest whole percent, what is the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10 th grade?
Consider the sets. cap u is equal to x divides x is A real number cap A is equal to x divides x is an odd integer cap r is equal to x divides x is equal to 3 comma 7 comma 11 comma 27 Is cap r is a strict subset of cap A ?
Jude has a deck of playing cards. He is asked to remove one card at random, then a second card. What could Jude do between the events to ensure they are dependent?
Which measurements are correct? Choose two correct answers.
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