Math mcq answer | Mathematics homework help

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Use the given table to find the probability of the indicated event. Round your answer to the nearest thousandth.

College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results.

A randomly selected student prefers a cheese topping.

[removed]A) .396
[removed]B) .066
[removed]C) .361
[removed]D) .184

 

Insert “” or “” in the blank to make the statement true.

{n, k, a} ________ {n, k, a}

[removed]A)
[removed]B)

 

Solve the problem.

In how many ways can 4 letters be chosen from the set if order is important and no repeats are allowed?

[removed]A) 15
[removed]B) 1296
[removed]C) 360
[removed]D) 24

 

 

Use the multiplication principle to solve the problem.

How many different sequences of 4 digits are possible if the first digit must be and if the sequence may not end in 000? Repetition of digits is allowed.

[removed]A) 1512
[removed]B) 2997
[removed]C) 2000
[removed]D) 2999

 

Find the probability of the given event.

A card drawn from a well-shuffled deck of 52 cards is red.

[removed]A)
[removed]B)
[removed]C)
[removed]D)

 

Shade the Venn diagram to represent the set.

(A B) ∩ (A ∩ B)’

[removed]A)

[removed]B)

 

Write the sample space for the given experiment. A box contains 13 white cards numbered 1 through 13. One card with a number greater than 6 is chosen. [removed]A) {11} [removed]B) {7, 8, 9, 10, 11, 12, 13} [removed]C) {6, 7, 8, 9, 10, 11, 12, 13} [removed]D) {1, 2, 3, . . . , 13}

[removed][removed]

 

 

 

Find the number of subsets of the set.

{math, English, history, science, art}

[removed]A) 28
[removed]B) 32
[removed]C) 16
[removed]D) 24

 

 

Use a Venn diagram to answer the question.

A survey of 137 college students was done to find out what elective courses they were taking. Let A = the set of those taking art; B = the set of those taking basket weaving; and C = the set of those taking canoeing. The study revealed the following information:
n(A) = 45; n(B) = 55; n(C) = 40;
n(A ∩ B) = 12; n(A ∩ C) = 15; n(B ∩ C) = 23;
n(A ∩ B ∩ C) = 2.
How many students were not taking any of these electives?

[removed]A) 47
[removed]B) 10
[removed]C) 45
[removed]D) 55

 

Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; and List the members of the indicated set, using set braces.

A ∩ B’

[removed]A) {u, w}
[removed]B) {r, s, t, u, v, w, x, z}
[removed]C) {t, v, x}
[removed]D) {q, s, t, u, v, w, x, y}

 

 

Let U = {all soda pops}; A = {all diet soda pops}; and Describe the given set in words.

(A ∩ B) ∩ C’

[removed]A) All diet-cola soda pops not in cans
[removed]B) All cola soda pops not in cans
[removed]C) All non-diet, non-cola soda pops not in cans
[removed]D) All diet and all cola soda pops not in cans

 

 

Solve the problem.

A pollster wants to minimize the effect the order of the questions has on a person’s response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?

[removed]A) 6
[removed]B) 120
[removed]C) 720
[removed]D) 36

 

A die is rolled twice. Write the indicated event in set notation.

The sum of the rolls is 5, and one roll is a 1.

[removed]A) {(1, 4)}
[removed]B) {(1, 4), (4, 1)}
[removed]C) {(4, 1)}
[removed]D)

 

 

Suppose P(C) = .048, P(M ∩ C) = .044, and P(M C) = .524. Find the indicated probability.

P(M)

[removed]A) .480
[removed]B) .472
[removed]C) .520
[removed]D) .528

 

 

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.

Two balls are drawn from a bag in which there are 4 red balls and 2 blue balls. The number of blue balls is counted.

[removed]A)

[removed]B)

[removed]C)

[removed]D)

 

Use a Venn diagram to answer the question.

At East Zone University (EZU) there are 575 students taking College Algebra or Calculus. 345 are taking College Algebra, 302 are taking Calculus, and 72 are taking both College Algebra and Calculus. How many are taking Calculus but not Algebra?

[removed]A) 503
[removed]B) 230
[removed]C) 201
[removed]D) 273

 

Tell whether the statement is true or false.

{59, 60, 59, 60} = {59, 60}

[removed]A) True
[removed]B) False

 

 

Determine whether the given events are disjoint.

Knowing Spanish and knowing Chinese

[removed]A) Yes
[removed]B) No

 

 

Decide whether the statement is true or false.

∩ =

[removed]A) True
[removed]B) False

 

The lists below show five agricultural crops in Alabama, Arkansas, and Louisiana.

Alabama Arkansas Louisiana
soybeans (s) soybeans (s) soybeans (s)
peanuts (p) rice (r) sugarcane (n)
corn (c) cotton (t) rice (r)
hay (h) hay (h) corn (c)
wheat (w) wheat (w) cotton (t)

Let U be the smallest possible universal set that includes all of the crops listed; and let A, K, and L be the sets of five crops in Alabama, Arkansas, and Louisiana, respectively. Find the indicated set.

L ∩ K

[removed]A) {c, n, r, s, t}
[removed]B) {c, h, n, r, s, t, w}
[removed]C) {c, h, n, w}
[removed]D) {r, s, t}

 

Use the multiplication principle to solve the problem.

How many different 7-digit phone numbers are possible if the first digit cannot be a 0?

[removed]A) 900,000
[removed]B) 9,000,000
[removed]C) 1,000,000
[removed]D) 10,000,000

 

 

Solve the problem.

One card is selected from a deck of cards. Find the probability of selecting a red card or a heart .

[removed]A)
[removed]B) 0
[removed]C)
[removed]D)

 

Let U = {q, r, s, t, u, v, w, x, y, z}; A = {q, s, u, w, y}; and List the members of the indicated set, using set braces. (A ∩ B)’ [removed]A) {t, v, x} [removed]B) {r, t, u, v, w, x, z} [removed]C) {s, u, w} [removed]D) {q, s, t, u, v, w, x, y}

[removed][removed]

 

 

24.

Use a Venn Diagram and the given information to determine the number of elements in the indicated set.

n(U) = 60, n(A) = 26, n(B) = 16, and n(A ∩ B) = 9. Find n(A B)’.

[removed]A) 42
[removed]B) 27
[removed]C) 18
[removed]D) 33

 

 

25.

Suppose P(C) = .048, P(M ∩ C) = .044, and P(M C) = .524. Find the indicated probability.

P(C’)

[removed]A) .476
[removed]B) .956
[removed]C) .952
[removed]D) 1