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Sonbull [250]
3 years ago
10

If E=[-1,0,1,2,3,4] and F=[3,4,5,6,7,8] what is E U F?

Mathematics
1 answer:
KatRina [158]3 years ago
7 0

E=\{-1,\ 0,\ 1,\ 2,\ 3,\ 4\}\\\\F=\{3,\ 4,\ 5,\ 6,\ 7,\ 8\}\\\\E\ \cup\ F=\{-1,\ 0,\ 1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7,\ 8\}

All elements from set E and from the set F. The same elements are only once.

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Please helpppp it has to do with P(A U B)
Katyanochek1 [597]
P(A)=0.5, P(B)=0.6, P(A\cup B)=0.8

We find the probability of intersection using the inclusion/exclusion principle:


P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3


By definition of conditional probability,


P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5


For A and B to be independent, we must have


P(A\cap B)=P(A)\cdot P(B)

in which case we have 0.3=0.5\cdot0.6, which is true, so A and B are indeed independent.


Or, to establish independence another way, in terms of conditional probability, we must have

P(A\mid B)\cdot P(B)=P(A)\cdot P(B)\implies P(A\mid B)=P(A)


which is also true.
7 0
3 years ago
Solve the question below using two different methods.
Tatiana [17]
Sold 17 tulips and 76 roses. tulips is equal to x and roses are equal to 4x+8. Then multiply by the amount they cost and then tulips are 2x and roses are 20x+40. They add together to get 414. 2x=20x=40=414. Solve. x=17. X is equal to the amount of tulips.
6 0
3 years ago
HELP!! Can anyone answer this?
olya-2409 [2.1K]
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5 0
4 years ago
Ken's fitness member ship cost $100 to join plus a $25 monthly fee. Ken also used a coupon to get 10% off the monthly fee. What
GREYUIT [131]

The equation that models the total cost is y = 100 + 22.5m

Step-by-step explanation:

Fitness member ship cost = $100

Monthly fee = $25

Discount = 10% on monthly fee

To calculate new monthly fee after discount,  

25 - (25*10%) --> 25 - 2.5 --> $22.5

Number of months = m

Fee in m months = 22.5*m = 22.5m

<u>Equation:</u>

(c) is constant which is the membership fee

(x) is the monthly fee $22.5

(m) is the number of months

(y) is the total cost

So,

y = mx + c

y = m(22.5) + 100

y = 100 + 22.5m

Therefore, the equation that models the total cost is y = 100 + 22.5m

Keyword: Equation

Learn more about equations at

  • brainly.com/question/8955867
  • brainly.com/question/10708697

#LearnwithBrainly

5 0
3 years ago
15h - m = 13h + q pleas helppp
tensa zangetsu [6.8K]
I don’t know what I’m solving for so I solved for h and with that it should be h=q/2+m/2

Explanation:

15h-m=13h+q
-13h -13h
———————-
2h-m=q
+m +m
———————-
2h=q+m
/2 /2 /2
———————-
H=q/2+m/2

8 0
3 years ago
Read 2 more answers
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