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
Pavlova-9 [17]
3 years ago
9

Suppose Mike has a dresser with 3 tan pants, 5 jeans, 2 black pants, and 3 gray pants. He also has 2 brown shoes, 3 black shoes,

and 2 blue shoes. If he randomly chooses a pair of pants and shoes, what is the probability that both are black? Give your answer as an exact fraction and reduce the fraction as much as possible.
Mathematics
1 answer:
Inessa [10]3 years ago
6 0

Answer:

Probability of choosing a black pair of pants and shoes = \frac{6}{91}

Step-by-step explanation:

Given:

Total number of pants Mike has =\textrm{ 3 tan pants + 5 jeans + 2 black pants + 3 gray pants = 13 pair of pants}

Probability of randomly choosing a pair of black pants = \frac{\textrm{Number of Black pants}}{\textrm{Total number of pants}} = \frac{2}{13}

Total number of shoes Mike has = \textrm{ 2 brown shoes + 3 black shoes + 2 blue shoes = 7 pairs of shoes}

Probability of randomly choosing a pair of black shoes = \frac{\textrm{Number of Black shoes}}{\textrm{Total number of shoes}} = \frac{3}{7}

Probability of choosing a black pair of pants and shoes =  \frac{2}{13}\times \frac{3}{7} = \frac{6}{91}

You might be interested in
Write a quadratic function whose zeros are -3 and -4
andreev551 [17]

Answer:

  f(x) = (x -(-3))(x -(-4))

Step-by-step explanation:

The function can be written as the product of binomial terms whose values are zero at the given zeros.

  (x -(-3)) is one such term

  (x -(-4)) is another such term

The product of these is the desired quadratic function. In the form easiest to write, it is ...

  f(x) = (x -(-3))(x -(-4))

This can be "simplified" to ...

  f(x) = (x +3)(x +4) . . . . simplifying the signs

  f(x) = x^2 +7x +12 . . . . multiplying it out

6 0
3 years ago
The mass of the liquid below is 45.5 grams if placed in a beaker with water the liquid will....
Zepler [3.9K]

Answer:

it will float!

Step-by-step explanation:

in order to find density, you must divide the mass by the volume. the volume is 56 ml, and the mass is 45.5. (45.5 / 56 = 0.8125) because we know the density of water is 1, and the density of this liquid is less than that of water, it will float because it is "lighter". hope it helped <33

3 0
3 years ago
Read 2 more answers
Tell if the events are independent or dependent. Mr.Wilson gets tails on a coin toss, and then gets tails by tossing the same co
den301095 [7]
The events are independent because they are not affected by the other coin toss. Hope this helps^-^
6 0
3 years ago
[25 POINTS] hi um please send help within like, 20 mins bc I'm gonna cry hahahaha
Rus_ich [418]
I will cry with you
8 0
3 years ago
Read 2 more answers
Witch triangle is a 30 -60 -90 triangle
jok3333 [9.3K]
This is a - special right triangle
6 0
3 years ago
Other questions:
  • Hey can somone please help posted picture of question
    12·2 answers
  • What’s 53.07 rounded to the nearest whole number
    7·2 answers
  • Shayla’s and Marque’s restaurant bill comes to $23.40. They are planning to tip the waiter 15% of their bill. How much money sho
    6·1 answer
  • What happens to the area of the circle when it's radius is doubled?<br>12.57÷3.14<br>radius= 4cm
    11·1 answer
  • The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer in simple
    10·2 answers
  • Jacob has 27.5 pounds of coffee beans to grandpa's got too much coffee is Jacob is able to fill container with 2.5 lb of coffee
    9·2 answers
  • Carter invested $3,900 in an account paying an interest rate of 3.9% compounded
    9·1 answer
  • A line has a y-intercept of -10 and a slope of 7/4 Find the equation of the line.
    9·1 answer
  • Please provide answer and work to show how you got the answer!!
    13·2 answers
  • I WILL MARK AS BRAINLIEST! Simplify
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!