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Masja [62]
2 years ago
12

Question 7: What is the probability of drawing the complement of a king or a queen from a standard deck of

Mathematics
1 answer:
natka813 [3]2 years ago
3 0

Answer:

The probability will be "0.8462". The more clarification is provided follows.

Step-by-step explanation:

K = King

Q = Queen

As we know, there are four Kings and four Queens in a pack of 52 cards.

∴ 4+4=8 (King and Queen)

So that the probability will be:

⇒  P((K\cup Q)^8)=1-P(K\cup Q)

⇒                       =1-\frac{8}{52}

⇒                       =0.8462

So that the above will be the right answer.

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Answer:

what is the question

Step-by-step explanation:

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2 years ago
A shelf is the shape of a triangle. Find the angles of the triangle if the measure of the angle are in the ratio x:x:4x.
lesantik [10]
The value of x is 30; hence 4x is equal to 120. That is because the sum of the angles of a triangle is 180. So, add x, x and 4x together, you get 6x. Divide 180 by 6, you get 30. Hope this helped!
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3 years ago
Help Please Brainliest!
Vera_Pavlovna [14]
The answer is about 9.73 times as many pixels!
5 0
3 years ago
Read 2 more answers
F(x)=x^3+3
lawyer [7]

Answer:

  (a)   -3/4

  (b)  -0.75

  (c)  -0.75

Step-by-step explanation:

It's a bit hard to tell what constitutes an "iteration" when using the bisection method to approximate a polynomial root. For the purpose here, we'll say one iteration consists of ...

  • evaluating the function at the midpoint of the bracketing interval
  • choosing a smaller bracketing interval
  • identifying the x-value known to be closest to the solution

Thus, the result of the iteration consists of a bracketing interval and the choice of one of the interval's ends as the solution approximation.

__

(a) We observe that the graphs intersect in the interval (-1, 0). For the first iteration, we evaluate f(x)-g(x) at x=-1/2. This tells us the solution is in the interval (-1, -1/2). The x-value closest to the root is x=-1/2.

For the second iteration, we evaluate the function f(x)-g(x) at x=-3/4. This tells us the solution is in the interval (-1, -3/4). The x-value closest to the root is x=-3/4.

For the third iteration, we evaluate the function f(x)-g(x) at x=-7/8. This tells us the solution is in the interval (-7/8, -3/4). The x-value closest to the root is x=-3/4.

__

(b) The graph tells us the solution is approximately 0.7549. Rounded to 2 decimal places, the solution is approximately 0.75.

__

(c) The above solution found after 3 iterations rounded to 2 decimal places is exactly 0.75.

__

See the attached table for function values.

_____

<em>Comment on bisection iteration</em>

Since you cut the interval containing the root in half with each iteration, you gain approximately one decimal place for each 3 iterations. When the function value is very nearly zero at one of the interval endpoints, it can take many more iterations to achieve a better result.

Here, it takes 4 more iterations before an x-value becomes closer to the solution (x≈-97/128). And it takes one more iteration to move the end of the interval away from -3/4. After these 5 more iterations (8 total), the solution is known to lie in the interval (-97/128, -193/256). The corresponding solution approximation is -193/256. It is still only correct to 2 decimal places.

5 0
3 years ago
A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df =
finlep [7]

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and  the source of variation between  rows has (r-1); rc(n-1) degrees of freedom and the  source of variation of interaction

(between rows and columns)  has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A:  ( c- 1); rc(n-1)    = 1,40

<u>Factor B:    (r-1); rc(n-1)     = 3,40</u>

Interaction : ( c-1) ( r-1); rc(n-1)   =  3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

5 0
2 years ago
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