Can Someone Help Me With a Few Math Questions?
1 answer:
You might be interested in
Answer:
(b)
Step-by-step explanation:
When two p and q events are independent then, by definition:
P (p and q) = P (p) * P (q)
Then, if q and r are independent events then:
P(q and r) = P(q)*P(r) = 1/4*1/5
P(q and r) = 1/20
P(q and r) = 0.05
In the question that is shown in the attached image, we have two separate urns. The amount of white balls that we take in the first urn does not affect the amount of white balls we could get in the second urn. This means that both events are independent.
In the first ballot box there are 9 balls, 3 white and 6 yellow.
Then the probability of obtaining a white ball from the first ballot box is:
In the second ballot box there are 10 balls, 7 white and 3 yellow.
Then the probability of obtaining a white ball from the second ballot box is:
We want to know the probability of obtaining a white ball in both urns. This is: P( and
)
As the events are independent:
P( and
) = P (
) * P (
)
P( and
) =
P( and
) =
Finally the correct option is (b)
Answer:
The weight of watermelon at the end of the trip is <u>500 kg.</u>
Step-by-step explanation:
Given:
The weight of watermelons is 1000kg.
At the beginning of the trip watermelon is 99% of the weight:
99% of 1000kg
kg
Now, at the end of the trip it is 98% of weight. So, let kg of water has been evaporated. So, remaining weight of the watermelon is
.
If kg of water is removed, then the amount of water left is
.
As per question, water now weighs 98% of the total weight. So,
98% of () =
(Bringing like terms on one side)
Therefore, the weight of watermelon at the end of the trip is given as:
Weight = = 1000 - 500 = 500 kg
Therefore, the watermelon weighs 500 kg at the end of trip.