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
enyata [817]
1 year ago
6

a bag of 10 marbles contains seven striped Marbles and 3 black marbles in the first event Mark draws a striped marble he does no

t replace it in the next three events Mark draws a striped 2 striped Marbles and one black marble he does not replace those marbles either what is the probability that he will select a black marble on the 5th event . Teach me how to solve it it's out of a1:10 b1:3 c2:7 d 2:3 I think its d
Mathematics
1 answer:
Illusion [34]1 year ago
7 0

The probabability that he will obtain a black marble is as follows.

Using the first event, since there are 7 striped marbles and there's a total of 10 marbles, the probability must be as follows:

P=\frac{7}{10}

For the next three event, since there are no replacements, the denominators of each factor will be subtracted by 1. Thus, we have the following:

P=\frac{7}{10}\cdot\frac{\square}{9}\cdot\frac{\square}{8}\cdot\frac{\square}{7}

Since one striped marble is already taken in the first event, there must be 6 striped marbles left in the second event, and 5 on the third event. As for the fourth event, there are 3 black marbles based from the given. Thus, the probability up until the fourth event is as follows:

P=\frac{7}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}\cdot\frac{3}{7}

Finally, to find the probability that he will select a black marble on the fifth event, the fifth factor must have a denominator of 6 since 4 marbles were already taken out in the first 4 events. On the other hand, the numerator must be 2 since one black marble is taken out on the 4th event.

Thus, simplifying the probability, we have the following:

P=\frac{7}{10}\cdot\frac{6}{9}\cdot\frac{5}{8}\cdot\frac{3}{7}\cdot\frac{2}{6}=\frac{1}{24}

Therefore, the probability must be 1/24.

You might be interested in
What is the domain of the relation?
amm1812

Domain:

{-4, -2, -1 , 1, 4}


Hope it helps

3 0
3 years ago
Find the product of<br> (x2 + 3x + 1)(x2 + x + 2)
Bogdan [553]

Answer: x^4+4x^3+6x^2+7x+2

Step-by-step explanation:

To solve the exercise you must apply the following proccedure:

- Apply the distributive property.

- Keep on mind that when you multiply two powers with equal base, you must add the exponents.

- Add like terms.

Therefore, you obtain the following product:

=x^{(2+2)}+x^{(2+1)}+2x^2+3x^{(1+2)}+3x^{(1+1)}}+6x+x^{2}+x+2\\=x^4+x^3+2x^2+3x^3+3x^2+6x+x^2+x+2\\=x^4+4x^3+6x^2+7x+2

4 0
3 years ago
Read 2 more answers
Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand
Misha Larkins [42]

<u>Answer:</u>

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

<u>Solution:</u>

Given, Scores on a test are normally distributed with a mean of 81.2  

And a standard deviation of 3.6.  

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6  

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0
3 years ago
X= -1/5; f(x) = (25/2)x + (-91/2) =
Diano4ka-milaya [45]

Answer:

Write the problem as a mathematical expression.

X=−1/5; f(x)=(25/2)x+(−91/2)

Replace the variable x with x=−1/5 in the expression.

f(−1/5)=(25/2)(−1/5)−91/2

Simplify the result.

−48

Step-by-step explanation:

4 0
3 years ago
Which is the graph of y = 3/ x + 1 - 2?
garri49 [273]

Answer:

The second graph near the bottom with a Y-intercept of -1

7 0
3 years ago
Read 2 more answers
Other questions:
  • The polynomial X to the 3rd+8 is equal to
    13·1 answer
  • Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team:
    13·1 answer
  • G(x) = -x^2/4 +7<br> What is the average rate of change of g over the interval [-2, 4]?
    10·2 answers
  • A random sample of n 1n1equals=139139 individuals results in x 1x1equals=3737 successes. An independent sample of n 2n2equals=14
    14·1 answer
  • 85.
    7·1 answer
  • Consider the system of equations below. What could be the first step in solving by elimination?
    13·2 answers
  • What is the midline equation of y=-8cos(3pi/2 x +1)
    10·1 answer
  • Can someone help me?​
    7·2 answers
  • Solve 8(m - 5 ) = 48
    11·2 answers
  • This is a valid probability distribution because if you add together the probabilities their sum is 1
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!