1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Kitty [74]
2 years ago
10

After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. Sh

e has only a one-dollar bill, a five-dollar bill, and a ten-dollar bill in her wallet. She pulls one out and looks at it, but then she puts it back. Distracted by a flyer for a new campus organization, she randomly hands a bill from her wallet to the clerk. Construct a sample space, and find the probability that (a)Both bills have the same value. (b)The second bill is smaller than the first bill. (c)The value of each of the two bills is even. (d)The value of exactly two of the bills is odd. (e)The sum of the values of both bills is less than . Write your answers in exact, simplified form.
Mathematics
1 answer:
Rzqust [24]2 years ago
3 0

Answer:

P(Same\ Bill) = \frac{1}{3}

P(Second

P(Both\ Even) = \frac{1}{9}

Pr(One\ Odd) = \frac{4}{9}

P(Sum < 10) = \frac{1}{3}

Step-by-step explanation:

Given

Bills: \$1, \$5, \$10

Selection = 2\ bills

The sample space is as follows:

This implies that we construct possible outcome that Ebony selects a bill, returns the bill and then select another.

This means that there are possibilities that the same bill is selected twice.

So, the sample space is as follows:

S = \{(1,1), (1,5), (1,10), (5,1), (5,5), (5,10), (10,1), (10,5), (10,10)\}

n(S) = 9

Solving (a): P(Same\ Bill)

This means that the first and second bill selected are the same.

The outcome of this are:

Same = \{(1,1),(5,5),(10,10)\}

n(Same\ Bill) = 3

The probability is:

P(Same\ Bill) = \frac{n(Same\ Bill)}{n(S)}

P(Same\ Bill) = \frac{3}{9}

P(Same\ Bill) = \frac{1}{3}

Solving (a): P(Second  < First\ Bill)

This means that the second bill selected is less than the first.

The outcome of this are:

Second < First = \{(1,5), (1,10), (5,10)\}

n(Second < First) = 3

The probability is:

P(Second

P(Second

P(Second

Solving (c): P(Both\ Even)

This means that the first and the second bill are even

The outcome of this are:

Both\ Even = \{(10,10)\}

n(Both\ Even) = 1

The probability is:

P(Both\ Even) = \frac{n(Both\ Even)}{n(S)}

P(Both\ Even) = \frac{1}{9}

Solving (e): P(Sum < 10)

This question has missing details.

The correct question is to determine the probability that, the sum of both bills is less than 10

The outcome of this are:

One\ Odd = \{(1,10), (5,10), (10,1), (10,5)\}

n(One\ Odd) = 4

The probability is:

Pr(One\ Odd) = \frac{n(One\ Odd)}{n(S)}

Pr(One\ Odd) = \frac{4}{9}

 

Solving (d): P(One\ Odd)

This question has missing details.

The correct question is to determine the probability that, exactly one of the bills is 0dd

The outcome of this are:

Sum < 10 = \{(1,1), (1,5), (5,1)\}

n(Sum < 10) = 3

The probability is:

P(Sum < 10) = \frac{n(Sum < 10)}{n(S)}

P(Sum < 10) = \frac{3}{9}

P(Sum < 10) = \frac{1}{3}

 

You might be interested in
Is 1/8 bigger or smaller than 3/4?
Advocard [28]
Small, because 1 divided by 8 = 0.125, and 3 divided by 4 = .75 Hope this helps!
5 0
3 years ago
Read 2 more answers
If you want to obtain a Class E license before you turn 18, you must______.
krek1111 [17]

Answer:

here is your answer-:

you must

A. be in compliance with school attendance requirements

B. have proof of employment

C. be a U.S. citizen

D. own a motor vehicle

if it helps you pleassseeeeeeeeeee follow me

4 0
3 years ago
18. Madison stayed 3 nights at a hotel that charged x dollars per night. The sales tax was 12.5%. Which expression represents th
sdas [7]

Answer:

D. 3x(1.125)

Step-by-step explanation:

6 0
3 years ago
In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc
coldgirl [10]

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

<em>p </em>= x / n

<em>p </em>= 91/110

<em>p </em>= 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

6 0
3 years ago
Factor over the complex numbers: 36x2 + 9.
ludmilkaskok [199]

36x^2+9=(6x)^2-(-9)=(6x)^2-(-3^2)\\\\=(6x)^2-(3i)^2=(6x-3i)(6x+3i)\\\\\text{Used:}\\a^2-b^2=(a-b)(a+b)\\\\i^2=-1

4 0
3 years ago
Other questions:
  • 85 POINT QUESTION, WILL MARK BRAINLIEST.
    7·2 answers
  • What is the weight in grams of a liquid that exactly fills 163.5 ml container if the density of the liquid is .492 G / milliliIt
    8·1 answer
  • Choose the graph which matches the function. (2 points) <br> f(x) = 3x-4
    9·1 answer
  • What is the inequality
    7·1 answer
  • What are the intercepts of the graphed function?
    10·2 answers
  • What is the place value of the 3 in the number 45,329
    7·2 answers
  • the distance between two numbers on the number line is 19. One of the numbers are 8. What are the two possibilities for the othe
    10·1 answer
  • Find the total service area of this cone. leave your answer in terms of pi. <br> r=10in h=24in
    15·1 answer
  • Two triangles are similar. The sides of the first triangle are 8, 9 and 12. The smallest side of the second triangle is 6. Find
    7·1 answer
  • Translate the sentence into an equation.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!