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
myrzilka [38]
3 years ago
14

I need help!!!!!!!!!!!!

Mathematics
1 answer:
Crazy boy [7]3 years ago
6 0

Answer:

13.53................

You might be interested in
Describe several methods you could use to determine the rational zeros of a polynomial function. Which would you choose to use f
barxatty [35]

Answer:

hi friends new friends

6 0
2 years ago
A bag contains 4 blue marbles and 2 yellow marbles. Two marbles are randomly chosen (the first marble is NOT replaced before dra
VMariaS [17]

Answer:

0.4 = 40% probability that both marbles are blue.

0.0667 = 6.67% probability that both marbles are yellow.

53.33% probability of one blue and then one yellow

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

Step-by-step explanation:

To solve this question, we need to understand conditional probability(for the final question) and the hypergeometric distribution(for the first three, because the balls are chosen without being replaced).

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

What is the probability that both marbles are blue?

4 + 2 = 6 total marbles, which means that N = 6

4 blue, which means that k = 4

Sample of 2, which means that n = 2

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,6,2,4) = \frac{C_{4,2}*C_{2,0}}{C_{6,2}} = 0.4

0.4 = 40% probability that both marbles are blue

What is the probability that both marbles are yellow?

4 + 2 = 6 total marbles, which means that N = 6

2 yellow, which means that k = 2

Sample of 2, which means that n = 2

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,6,2,2) = \frac{C_{2,2}*C_{4,0}}{C_{6,2}} = 0.0667

0.0667 = 6.67% probability that both marbles are yellow.

What is the probability of one blue and then one yellow?

Total is 100%.

Can be:

Both blue(40%)

Both yellow(6.67%)

One blue and one yellow(x%). So

40 + 6.67 + x = 100

x = 100 - 46.67

x = 53.33

53.33% probability of one blue and then one yellow.

If you are told that both selected marbles are the same color, what is the probability that both are blue?

Conditional probability.

Event A: Both same color

Event B: Both blue

Probability of both being same color:

Both blue(40%)

Both yellow(6.67%)

This means that P(A) = 0.4 + 0.0667 = 0.4667

Probability of both being the same color and blue:

40% probability that both are blue, which means that P(A \cap B) = 0.4

Desired probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.4667} = 0.8571

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

8 0
2 years ago
Polly bought a bag of s sour candies. She ate 74 of the candies. Write an expression that shows how many sour candies Polly has
swat32

Answer:

s-74

Step-by-step explanation:

She ate 74 candies, out of the total S candies. So, if we do S-74, well find how many are left.

4 0
3 years ago
The price of an Item has been reduced by 80%. The original price was $65. What is the price of the item now?​
PIT_PIT [208]

Answer:

$13

Step-by-step explanation:

multiply 65 by 80 then divide by 100, you get 52, so subtract 65 from 52 you get 13

5 0
2 years ago
Write the prime factorization of 42. Use exponents when appropriate and order the factors from least to greatest
jeka94
42: 2,3,7
2 x 3 x 7 = 42

4 0
2 years ago
Read 2 more answers
Other questions:
  • Is a vertical line perpendicular to the x-axis
    7·2 answers
  • choose the point slope form of the equation below that represents the like that passes through the points (-6,4) and (2, 0)
    13·1 answer
  • Tobin is solving the equation 3(x - 1.25) = 11.25. His work is shown below.
    13·1 answer
  • Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle?
    5·2 answers
  • The probability of catching the flu this year is 0.15. Use the binomial model to find the probability that 2 out 5 members of th
    8·1 answer
  • Please help! (: I know the middle one is 3
    13·2 answers
  • Jonathan has $44,200 in a saving account. The interest rate is 7% per year and is not compounded. How much interest will he earn
    6·1 answer
  • Find the surface area of the pyramid. Thanks you.
    6·1 answer
  • Can you please help me
    6·1 answer
  • Profit is the difference of revenue and cost. Assuming the costs are $150, write an equation that represents the revenue R from
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!