Answer:
1/3
Step-by-step explanation:
In this question, we are interested in calculating a probability.
The probability that him and 4 four friends are chosen = the number of him and his four friends/total persons in the quiz bowl
adding him to his four friends make 5 people.
Thus the probability = 5/15 = 1/3
The number of cards with Ana is 144
<em><u>Solution:</u></em>
Let the number of cards with Ana be "x"
Let the number of cards with Diana be "y"
Given that, Ana has 24 more cards than Diana
number of cards with Ana = 24 + number of cards with Diana
x = 24 + y ----- eqn 1
of Diana’s cards equal of Ana’s cards
Therefore,
Substitute the above equation of "y" in eqn 1
Thus number of cards with Ana is 144
Use the given function to find the -coordinate of .
Find the equation of the line through the origin and . This line has slope
and passes through (0, 0), so its equation is
Then the area of the shaded region is given by the definite integral
9,372,000. the two in the hundreds place tells you to round down.
Answer:
Point of tangency is or
Step-by-step explanation:
You don't really need to use Calculus here. You can just set each equation to each other and solve for x (the point of tangency):
Therefore, the point of tangency is or