Chapter 9-14 Review
According to a weather report, there is a 25% chance it will rain tomorrow. What is the probability that it will not rain tomorrow?
.75
Determine which of the figures is a concave polygon.
4. (tiki island head turned to the side)
In the game of "Between," two cards are dealt from a standard deck and not replaced. You then pick a third card from the deck. To win, you must pick a card that has a value between the other two cards. The order of values is 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K, A, where the letters represent a jack, queen, king, and ace, respectively. Determine the probability of your winning if the first two cards dealt are a 7 and a 10.
4/25
What is the measure of the complement of the supplement of a 138 degrees angle?
48 degrees
An electric clock is stopped by a power failure. What is the probability that the second hand is stopped between the 6 and the 11?
5/12 between each variable is 1/12
A teacher gave students six questions and wrote that she would randomly choose one of the six questions for an exam. If Harry prepared for only one of the questions, what is the probability that he did not study for the question that the teacher put on the exam?
5/6
In Lindsay's class, there were five students who scored 90 on a test and seven students who scored 50 on a test. What is the mean of the scores in the class?
66.7
Find the odds against a randomly chosen household having a cat if the probability of the event that a randomly chosen household has a cat is .33
67:33
The mean score on a set of 26 tests is 75. Suppose two more students take the test and score 63 and 60. What is the new mean?
74. 1. (26x75) = 1950 2. 1950+63+60= 2073. 3. There are now 28 tests, so divide 2073 by 28.
What is the maximum number of intersection points between a quadrilateral and a triangle (where no sides of the polygons are on the same line)?
8
If the probability of an event happening is 87/95, what are the odds against it happening?
8:87
What steps can be taken to create an equilateral triangle inscribed in a circle?
Draw a circle. Construct six 60 degrees central angles with a common vertex at the center of the circle. Then construct three 120 degrees angles using the sides of the six 60 degrees angles. The sides of these three angles intersect the circle at the points A, B, and C, which are vertices of an equilateral triangle. This is true by SAS.
If possible, draw a right equilateral triangle. If it is not possible, state why.
It is not possible because an equilateral triangle has three 60 degree sides
Is it possible to construct a right triangle with all sides congruent?
NO
For what kind of triangles will the perpendicular bisectors of the sides intersect in the exterior of the triangle?
Obtuse
To determine the favorite dish of diners at a certain restaurant, which sample is more likely to be random? a. Ask every fifth person that walks in the restaurant. b. Ask the group of diners sitting at one table.
Sample a is more likely to be random because the chosen sampling location is random as well as the people being sampled.
The ratio of the measures of two supplementary angles is 1:29. Find the measure of each angle.
Small Angle: 6 Big Angle: 174 x+29x=180 Solve for x
The newspaper predicted that Abigail VanEmmerik would win the mayoral election over Jessie Calizo based on questionnaires sent to owners of dogs and boats. The prediction was incorrect. What are some likely errors made by the newspaper?
The owners of dogs and boats do not make up a random sample. The owners of dogs and boats are not representative of the entire population.
If you flipped a fair coin 15 times and got 15 heads, what is the probability of the event of getting a head on the 16th toss? Explain your answer.
The probability is one half because the fair coin has no memory, the probability of the event of a head on the 16th toss is the same as the probability of the event of a head on any toss.
Determine whether the triangles are congruent. If so, name the postulate or theorem that justifies your answer. If not, explain. (2 angles are given)
The triangles are not necessarily congruent. Not enough information is provided.
A bag contains 6 blue marbles, 2 red marbles, and 2 yellow marbles. The probability of drawing a blue marble out of the bag is six tenths or 60%. How many of what color of marbles must be added to the bag so that the probability of a blue marble being drawn at random from the bag is 80%?
There must be 10 blue marbles added to the bag. (16/20)
a. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is a rhombus? b. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is a kite? c. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is an isosceles trapezoid? d. What is the most you can say about the kind of parallelogram MNPQ is if ABCD is a quadrilateral that is neither a rhombus nor a kite but whose diagonals are perpendicular to each other?
a. rectangle b. rectangle c. rhombus d. rectangle
a. If you consider a triangle with two vertices A and B as marked in the figure and the intersection of a line through the cable holding the equipment and the ground as the third vertex, what type of triangle is formed? b. If you consider the triangle formed by points A, B, and C, describe where the altitude containing vertex A of the triangle is.
a. right triangle b. The altitude is the extension of the cable from vertex A to the ground.
Heptagon interior angles equal 900.
find x
Eight blue socks, four white socks, and six gray socks are mixed in a drawer. You pull out two socks, one at a time, without looking. Complete parts (a) through (d) a. b. What is the probability of the event of getting 2 socks of the same color? c. What is the probability of the event of getting two white socks? d. Suppose that, instead of pulling out two socks, you pull out four socks. What is the probability of the event of getting at least two socks of the same color?
a. graph b. 49/153 c. 2/51 d. 1
A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining no tails on the tosses?
1/16
There are 34 employees in a certain firm. We know that 24 of these employees are male, 6 of these males are secretaries, and 11 secretaries are employed by the firm. What is the probability that an employee chosen at random is a secretary, given that the person is a female?
1/2
Find the radius of the circle in terms of the hypotenuse.
1/2 x hypotenuse
An executive committee consists of 12 members: 7 men and 5 women. 3 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What is the probability that all 3 selected are women?
1/22 (5/12)x(4/11)x(3/10)x(2/9)x(1/8)
If you copy a page on a machine at 72%, you should get a similar copy of the page. What is the corresponding setting to obtain the original from the copy?
138 8/9%
Describe a set of minimal conditions to determine whether two rhombuses are congruent.
Two rhombuses are congruent if a side of one is congruent to a side of the other and an angle of one is congruent to an angle of the other. In a rhombus all four sides are congruent. Therefore, showing that the two rhombuses have one pair of congruent sides is sufficient to conclude all the sides are congruent.
Suppose you draw a card from an ordinary deck of playing cards. Find each of the following odds. a. What are the odds in favor of drawing a red king? b. What are the odds against drawing a red king?
a. 1 : 25 b. 25 : 1
a. Points A, B, C, and D are collinear. In how many ways can the line be named using only these points? (Assume that different order means different name.) b. Points A, B, C, D, and E are coplanar and no three are collinear. In how many ways can the plane be named using only these points?
a. 12 different ways b. 60 different ways
a. Find the measure of the angle swept by the hour hand between noon and 4:15 P.M. b. Find the exact angle between the minute and hour hands at 3:25 P.M.
a. 127 degrees 30' b. 47 degrees 30'
The relationship among marked angles in the figure is m(angleAOB) = 1/4m(angleCOD). a. Angle AOB = b. Angle COD =
a. 14 degrees b. 56 degrees 1. Use x + 1/4x + 110 degrees = 180 2.Then, get x by itself 3. Multiply both sides by 4 to remove the fraction. 4. This gives you 4x + x = 280 5. 5x = 280 6. Divide both sides by 5. 7. x equals 56. 8. 1/4 of 56 is 14.
The spinner shown on the right is spun. (Assume that the size of each sector is the same.) Find each probability. a) P(factor of 35) b) P(multiple of 5)
a. 3/8 b. 1/8
Tell whether each of the following questions is biased or fair. Why? a. What is your favorite food question mark b. Do you like the calm comma soothing comma beautiful ocean question mark
a. Fair because the question does not make an unjustified assumption and does not make some answers appear better than others b. Biased because the question makes an unjustified assumption or makes some answers appear better than others.
a. Is the statement "No rectangle is a rhombus" true or false? Choose the correct answer below. b. Is the statement "The diagonals of a square are perpendicular bisectors of each other" true or false? Choose the correct answer below
a. False b. True
a. Are the conditions PQ overbar congruent MN overbar, PR overbar congruent MO overbar, and angle Upper Q congruent angle Upper N sufficient to prove that Upper Delta PQR congruent Upper Delta MNO? b. Justify
a. No b. None
The parents of some students remarked that they could tell the difference between Crunchem Chips and Crispy Chips. How might students design a study if the students were a. elementary-grade students or b. middle-grade students?
a. Students would blindfold all of the parents in the class and have them taste each product. b. Students would put the products in unmarked containers and have a random selection of the parents in this class and another class taste each product.
