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boyakko [2]
3 years ago
5

1 point

Mathematics
1 answer:
damaskus [11]3 years ago
8 0

Answer:

Step-by-step explanation:

I think the question is  card(A)=20,card(B)=15,card(A∩B)=10, then what iscard(A∪B)  

You can solve this question by drawing a picture like this to visualize the problem.

Thus the answer is  card(A∪B)=card(A)+card(B)−card(A∩B)=25

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The coordinate of A is -3, and the coordinate of B is 0.5  Find AB ..please explain answer 
vesna_86 [32]
A = (-3)
B = (0.5)

|AB| = |0.5 - (-3)| = |0.5 + 3| = |3.5| = 3.5
3 0
3 years ago
Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f
STALIN [3.7K]

Answer:  b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5   (The probability of getting heads on a fair coin is 0.5)

Significance level : \alpha: 1-0.90=0.10\\

Critical z-value (using z-value table ) : z_{\alpha/2}=1.645

Confidence interval width : w= 0.18

Thus , the margin of error : E=\dfrac{w}{2}=0.09

Formula to find the sample size ( if prior estimate of proportion is known.):-

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Substitute the values , we get

n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2

Simplify ,

n=83.5192901235\approx84  [Round of to the next whole number.]

Hence, the number of times we would have to flip the coin =<u>84</u>

hence, the correct answer is b) 84

8 0
3 years ago
sooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
bazaltina [42]

Answer:

B) 3/4

Step-by-step explanation:

The conditional probability of B given A (B|A) is P(A ∩ B) / P(A), when P(A) > 0 (Probability of the intersection of A and B over the Probability of A).

in our case, P(A ∩ B is the amount of people who can snowboard and surf, which according to the picture is 36

P(A) is the amount of people who can snowboard, which from the picture is 48

This means our conditional probability is 36/48, which when simplified is 3/4.

6 0
3 years ago
The number 4 is in both the domain and the range of the function A(n).
Pani-rosa [81]

Answer:

False

Step-by-step explanation:

the domain is the set of numbers you can plug in, and the range is what comes out

4 is shown in both ovals, but we see that there is no arrow pointing from the left oval to the 4 in the right oval, meaning that no value in interval [1,5] has a value of 4.

3 0
3 years ago
What is 2/3d -8=1/2d
Brilliant_brown [7]

Answer:

d = 48

Step-by-step explanation:

4 0
3 years ago
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