Write the following list of events as an expression and then simplify.

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Step-by-step explanation:

Initial expression = 80 + 78 + (-97) + 12

final expression = 170-97 ==> $73

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Given P(A)=0.4P(A)=0.4, P(B)=0.26P(B)=0.26 and P(A\text{ or }B)=0.436P(A or B)=0.436, find the value of P(A\text{ and }B)P(A and

Stolb23 [73]

If the probabilities of A, B, and A or B are 0.4, 0.26, and 0.436. Then the probability of A and B will be 0.224.

<h3>What is the addition rule of size for two subsets?</h3>

For two subsets A and B of the universal set U, we have:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Then the expression can be written as

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

The probabilities are given below.

P(A) = 0.4

P(B)=0.26

P(A ∪ B) = 0.436

Then the probability of A and B will be

P(A ∩ B) = P(A) + P(B) - P(A ∪ B)

P(A ∩ B) = 0.4 + 0.26 - 0.436

P(A ∩ B) = 0.66 - 0.436

P(A ∩ B) = 0.224

Learn more about the addition rule for two subsets here:

brainly.com/question/27496136

SPJ1

3 0

2 years ago

Given the original amount and the percent of change, find the new amount

maks197457 [2]

(the new amount-the original amount)÷the original amount=the percent of change
(x-25)/25=300%=3
x-25=75
x=100

5 0

3 years ago

If an egg is thrown up and off the roof of a 100 foot building with an initial upward velocity of 10 feet per second, how long u

Deffense [45]

The equation of the height as a function of time for this case is given by:
h (t) = - 16t ^ 2 + 10t + 100
By the time the egg hits the ground we have:
-16t ^ 2 + 10t + 100 = 0
We look for the roots of the polynomial:
t1 = -2.2069555463432966
t2 = 2.8319555463432966
As it is about time, we use the positive root:
t = 2.83 s
Answer:
it hits the ground at:
t = 2.83 s

8 0

4 years ago

I NEEEEEED HEEEEEEEP PLZZZZZZZZ

Tema [17]

So, since the student makes $30 each week, we can disregard the number of hours.

So, we can model this situation by the following equation

9.5h+30

So, if he works 10.25 hrs (15 minutes = .25 of 1 hr) we just plug that number in

$9.5h+30\\9.5(10.25)+30\\127.275$