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
cluponka [151]
3 years ago
11

"The chance that a person selected at random has blue eyes is 16%. Two people are chosen at random (and are independent of each

other). Find the probability at least one of them does not have blue eyes. Round your answer to 4 decimal places."
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256

And replacing we got:

P(X \geq 1)=1 -P(X

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=2, p=1-0.16=0.84)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we can find this probability:

P(X \geq 1)

And we can solve this probability like this:

P(X \geq 1)=1 -P(X

And if we use the probability mass function we got:

P(X=0)=(2C0)(0.84)^0 (1-0.84)^{2-0}=0.0256

And replacing we got:

P(X \geq 1)=1 -P(X

You might be interested in
Work out 5/8 x 2 please help quick
Fed [463]
5/8 * 2 = 

10/8 =

5/4
-------------------

your answer is 5/4
4 0
3 years ago
2+2=? What is the problem?
slamgirl [31]

Answer:

2+2=4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Solve for x. 12x+252=324
Murrr4er [49]

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

5 0
3 years ago
Read 2 more answers
13) The side length of the following cube is 8 cm. what is the length of the diagonal through its center?​
Scorpion4ik [409]

Answer: \sqrt{3} x 8 = 13.8564064606

Step-by-step explanation: The main diagonal of any cube can be found by multiplying the length of one side by the square root of 3 (\sqrt{3}). Therefore, square root 3 (\sqrt{3}) is multiplied by the length (8 in our case) of either 6 faces of the cube.

Hope it helped!

5 0
3 years ago
Read 2 more answers
Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connect
LenKa [72]

Answer:

B is the triangle

A and E can be thought of as triangles as well with angles 0°, 0° and 180°, but it will be just a line with 3 points. So it depends whether this is a question with multiple answers or not.

Step-by-step explanation:

  • Thinking Process:

We need to find a formula for a triangle that uses all the sides

Cosine rule uses all sides:

c^2 = a^2 + b^2 -2ab(cosA)

we can rearrage this formula and make the angle A the subject:

A = cos^{-1}(\frac{a^2+b^2-c^2}{2ab})

  • now you can just put the values from each option in the question into this formula and see if it gives an answer or not.

<u>Try A. (1,2,3)</u>

put a = 1, b = 2, c = 3 (keep in mind that you can take 'a' 'b' and 'c' as 3,2 and 1 or any other arrangement within the option A(1,2,3). All we are doing here is checking whether the answer exists or not)

A = cos^{-1}(\frac{1^2+2^2-3^2}{2(1)(2)})

A = 180, now graphically it seems that this is just a line with 3 points, or technically you can think of as the sides of the triangle are overlapping each other, and the angle between the sides is 0 0 and 180. It depends on whether the question is asking you to be technical or not. Since the question already stated there are 3 line segments, so we can think of it as a triangle.

<u>Try B.(3,4,5)</u>

A = cos^{-1}(\frac{3^2+4^2-5^2}{2(3)(4)})

A = 90, this is a triangle (specifically, this is a right angled triangle)

<u>Try C.(1,10,100)</u>

A = cos^{-1}(\frac{1^2+10^2-100^2}{2(1)(10)})

from the calculator you'll see a 'math error', this shows that there is no answer, because cos^{-1} can only accept values within -1 and 1 inclusive. Hence no such triangle exists with lengths (1,10,100).

Similarly you can try the formula with all other options, and find whose answers exists or not.

Finally, to complete the answer, let's

Try E.(1,3,4)

A = cos^{-1}(\frac{1^2+3^2-4^2}{2(1)(3)})

A = 180, hence this is also one of those "3 points on a straight line  triangles" similar to A(1,2,3)

so the answer is either A,B and E OR just B

Hope this helps :)

5 0
3 years ago
Other questions:
  • How do you 3rd root a number
    9·1 answer
  • Convert .65 into ratio
    6·2 answers
  • Jenna jump 156 inches in the long jump competition After High School track meet how many feet did Jenna jump
    12·2 answers
  • Screenshot down below math question
    9·2 answers
  • Helppppppppppppppppp pls
    15·2 answers
  • Find the value of x in the triangle shown below.<br> =<br> 2<br> 45°<br> 98
    10·1 answer
  • The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. The prob
    6·1 answer
  • R1 663 200 in words?​
    6·1 answer
  • A class had a plate with 128 Cookies. The cookies where divided evenly among the students. Each student was given 4 cookies. How
    14·1 answer
  • 4. What is the solution to the system of equations?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!