The mass of the sun is 1.989x10^30 kilograms. The mass of the earth is 5.98x10^24 kilograms. About how many times bigger is the
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Answer:
<em>3 hours</em>
Step-by-step explanation:
Given that:
Average speed of Willie = 40 km/h
After 2 hours, Gabriella traveled in opposite direction at an speed of 70 km/h.
After some time, they are 410 km apart.
To find:
Number of hours = ?
Solution:
For the first two hours, Willie traveled alone.
Formula for distance:
Distance traveled in two hours by Willie =
Now, they both travel in opposite directions.
So the relative speed is = 40 + 70 = 110 km/h
The distance traveled by them = 410 - 80 = 330 km
Therefore, the time taken is <em>3 hours.</em>
We have given the table of number of male and female contestants who did and did not win prize
The probability that a randomly selected contestant won prize given that contestant was female is
P(contestant won prize / Contestant was female)
Here we will use conditional probability formula
P(A/B) =
Let Event A = selected contestant won prize and
event B = selected contestant is famale
Then numerator entity will
P(A and B) = P(Contestant won prize and Contestant is female)
= Number of female contestant who won prize / Total number of contestant
= 3 /(4+9+3+10)
= 3 / 26
P(A and B) = 0.1153
P(B) = P(contestant is female )
= Number of female contestant / Total number of contestants
= (3+10) / 26
P(B) = 0.5
Now P(A / B) =
= 0.1153 / 0.5
P(A / B) = 0.2306
The probability that randomly selected contestant won prize given that contestant is female is 0.2306
Converting probability into percentage 23.06%
The percentage that randomly selected contestant won prize given that contestant is female is 23%