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
Oksi-84 [34.3K]
3 years ago
6

A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that

the two balls are black and red?
Mathematics
1 answer:
Lyrx [107]3 years ago
7 0

Answer:

Probability = \frac{1}{5} or Probability = 0.2

Step-by-step explanation:

Given

Black = 25

White = 35

Red = 40

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)

Convert to mathematical expressions

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]

Solve for each probaility;

P(Black) = \frac{Black}{Total} = \frac{25}{100}

P(Red) = \frac{Red}{Total} = \frac{40}{100}

So, we have:

Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]

Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]

Probability = [\frac{1}{10}] + [\frac{1}{10}]

Probability = \frac{1+1}{10}

Probability = \frac{2}{10}

Probability = \frac{1}{5}

or

Probability = 0.2

You might be interested in
If a polynomial function f(x) has roots 6 and square root of 5, what must also be a root of f(x)?
ivolga24 [154]

Answer:

-\sqrt{5}

Step-by-step explanation:

A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:

  • One answer with positive square root
  • One answer with negative square root

For example, for the equation:

x^{2}=3

If we take the square root of both sides, the answers will be:

x=\sqrt{3} \text{ or } x= -\sqrt{3}

Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.

For given case, the roots are 6 and \sqrt{5}. Therefore, the 3rd root of the polynomial function f(x) had to be -\sqrt{5}

It seems you made error while writing option B, it should be - square root of 5.

4 0
3 years ago
Elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of trail mix.If each serving contains the same
alexdok [17]
The answer is 2.22 if you divide it. Add the ingredients then divide on how many servings.
5 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!!!!!!!!!!!!!
Dmitrij [34]
It would be the one with the number that is furthest away from 0 either negative or positive.  in this case it would be A
6 0
3 years ago
Read 2 more answers
Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Therefore,

\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}

\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}

<u>Multiplication Rule for Independent Events</u>

For independent events A and B:

  • \sf P(A\:and\:B)=P(A) \times P(B)

Therefore,

\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}

<h3><u>Conclusion</u></h3>

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

8 0
1 year ago
Read 2 more answers
A swimming pool that holds 10,000 gallons of water is being filled at a rate of 600 gallons per hour. The function h(x)=600x rep
Vladimir79 [104]

*assume the pool is empty at the beginning

a) plug 3.25 into the equation and solve

h(3.25) = 600*3.25 = 1950 gallons

b) after 3.25 hours the total amount of water will be 1950 gallons

8 0
3 years ago
Other questions:
  • Simplify the expression. 3x 3x a. 6x b. 9x c. 6x2 d. 6
    10·1 answer
  • What is the sum of 1010 and 210?
    10·2 answers
  • Can someone help please
    9·1 answer
  • What is the answer? 236,272 round to the nearest ten thousand
    14·1 answer
  • Last night the temperature in New York City went down t 4 degrees F. In Antarctica, the temperature went down to -20 degrees F.
    10·2 answers
  • Find out the values of x and y from the following ordered pairs<br> (2x – 2, y – 1) = (x + 3, 4)
    13·1 answer
  • What type of angle is this
    10·1 answer
  • Convert 43 minutes to seconds​
    5·2 answers
  • Jaymile wants to construct congruent angles with a compass and straightedge, while Annie wants to construct congruent segments w
    11·1 answer
  • 1/2 divided 8 as a whole number
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!