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mash [69]
2 years ago
15

Suppose you and some friends go to the movies and buy some snacks. The snack bar charges $2 for a box of candy and $6 for the “c

ombo.” The combo is a medium drink and popcorn. The only spending restriction you have is you must bring home some change from the money you have been given. After buying the tickets, you have $12 left to spend for snacks.
Mathematics
1 answer:
aleksley [76]2 years ago
3 0
If what you are trying to do is buy the most you can and still having some change left over then the answer would be 1 combo and 2 boxes of candy
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Julia collects colored beads for craft projects. Of julia's beads, 4/9 are silver, 1/5 are, gold and 1/4 are blue. The rest of t
klemol [59]

Answer:

19 red beads

Step-by-step explanation:

We first need to find a common denominator of 4/9, 1/5 and 1/4.

The common denominator is 180. Like in an expression, what we do to one side we have to do to the other.

Silver - 180/9 = 20 ; 20*4 = 80 so there are roughly 80 sliver beads.

Gold - 180/5 = 36 ; 36*1 = 36 so there are roughly 36 gold beads.

Blue - 180/4 = 45 ; 45*1 = 45 so there are roughly 56 blue beads.

180 - (silver+gold+blue) = red beads

180-161 = 19 red beads b/c ----->

80+36+45+19 = 180

4 0
3 years ago
Which of the following represents the probability that someone who
RSB [31]

Answer:

The correct option is;

(E) P(full time) × P(credit card debt over $5,000)

Step-by-step explanation:

The given parameters are;

The mode of employment of a person = Full time

The amount of debt in the credit card = More than $5,000

The probability that a person works full time = P(full time)

The probability that the person has over $5,000 in credit card debt = P(credit card debt over $5,000)

Therefore, the probability that someone who works full time has more than $5,000 in credit card debt =  P(full time) × P(credit card debt over $5,000)

6 0
2 years ago
In a multiple choice quiz there are 5 questions and 4 choices for each question (a, b, c, d). Robin has not studied for the quiz
Ahat [919]

Answer:

a) There is a 18.75% probability that the first question that she gets right is the second question.

b) There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

c) There is a 10.35% probability that she gets the majority of the questions right.

Step-by-step explanation:

Each question can have two outcomes. Either it is right, or it is wrong. So, for b) and c), we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And \pi is the probability of X happening.

In this problem we have that:

Each question has 4 choices. So for each question, Robin has a \frac{1}{4} = 0.25 probability of getting ir right. So \pi = 0.25. There are five questions, so n = 5.

(a) What is the probability that the first question she gets right is the second question?

There is a 75% probability of getting the first question wrong and there is a 25% probability of getting the second question right. These probabilities are independent.

So

P = 0.75(0.25) = 0.1875

There is a 18.75% probability that the first question that she gets right is the second question.

(b) What is the probability that she gets exactly 1 or exactly 2 questions right?

This is: P = P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955

P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637

P = P(X = 1) + P(X = 2) = 0.3955 + 0.2637 = 0.6592

There is a 65.92% probability that she gets exactly 1 or exactly 2 questions right.

(c) What is the probability that she gets the majority of the questions right?

That is the probability that she gets 3, 4 or 5 questions right.

P = P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 3) = C_{5,3}.(0.25)^{3}.(0.75)^{2} = 0.0879

P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146

P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001

P = P(X = 3) + P(X = 4) + P(X = 5) = 0.0879 + 0.0146 + 0.001 = 0.1035

There is a 10.35% probability that she gets the majority of the questions right.

6 0
3 years ago
A triangle had two sides of lengths 10 and 14
BartSMP [9]

Answer:

Isosceles or scalene

Isosceles has 2 sides that are the same value

scalene is where none of the sides are equal

6 0
3 years ago
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Identify rational numbers and intergers from the following
Nina [5.8K]

Answer:

Rational: all

Integers: 4, -36, -6

Step-by-step explanation:

A rational number is a number that can be written as a fraction of integers.

All numbers shown are rational numbers.

The integers are all positive and negative whole numbers and zero.

The integers are: 4, -36, -6

6 0
3 years ago
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