You could either find how far Chris can run in 60 minutes, or write an equation of ratios:
x 35 min
--------- = --------------
6 mi 50 min
Solving for x: 50x = 210; x = 4.2 miles (answer)
First find the new coordinates for P and Q after the translations:
P'(2 + 3, 4 - 4) = P'(5, 0)
Q'(-3 + 3, 2 - 4) = Q'(0, -2)
Now, find the slope from this:
(0 - (-2))/(5 - 0) = 2/5
The slope has remained the same. It is important to note that after any translation, the slope will always remain the same. However, this is not always so for rotations and reflections.
Answer:
B. 0.03110
Step-by-step explanation:
Given
Probability of Hit = 60%
Required
Determine the probability that he misses at 6th throw
Represent Probability of Hit with P

Convert to decimal

Next; Determine the Probability of Miss (q)
Opposite probabilities add up to 1;
So,


Substitute 0.6 for p


Next,is to determine the required probability;
Since, he's expected to miss the 6th throw, the probability is:



Hence;
<em>Option B answers the question</em>
If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.
Specifically we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator we start with 8 and count down 3 numbers. In the denominator we start with 3 and count all the way down to 1. Thus we obtain,