The required probability is P(A and B) = 0.104
Step-by-step explanation:
Step 1 :
Given,
A , B are independent events
P(A) = 0.26
P(B) = 0.40
We need to find P(A and B)
Step 2 :
P(A and B) indicates that the event A should happen and also the event B should happen.
Since it is given that A , B are not dependent events it means that the happening of event A does not impact the happening of event B and vice versa.
Probability of 2 independent events is computed by taking the product of the 2 individual events
So here P (A and B) can be obtained as P(A) × P(B)
= 0.26 × 0.40 = 0.104
Step 3 :
Answer :
The required probability is 0.104
Answer:
The car gets 30 miles to the gallon
After the car has traveled 80 miles, gallons of gas have been consumed.
Step-by-step explanation:
Answer:
96.2
Step-by-step explanation:
set them as 96.145 96.200 96.190 then you will know 96.2 is the largest
<h3>
Answer: 60 muffins</h3>
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Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
- Helen = 2x+12 = 2*24+12 = 48+12 = 60
- Rebecca = 5x = 5*24 = 120
Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
- 2x = 2*24 = 48
- 5x = 5*24 = 120
- 48:120 reduces to 2:5 after dividing both parts by 24
This helps confirm we have the correct answer.