Answer:
9/25 or 36%
Step-by-step explanation:
The probability of selecting the fair coin is 1/2, and the probability of getting heads with the fair coin is 1/2.
P(fair) = 1/2, P(heads | fair) = 1/2
The probability of selecting the unfair coin is 1/2, and the probability of getting heads with the unfair coin is 2/3.
P(unfair) = 1/2, P(heads | unfair) = 2/3
P(fair and 2 heads) = 1/2 (1/2)²
P(fair and 2 heads) = 1/8
P(2 heads) = 1/2 (1/2)² + 1/2 (2/3)²
P(2 heads) = 1/8 + 2/9
P(2 heads) = 25/72
Therefore, the probability that you selected the fair coin, given that you flipped 2 heads, is:
P(fair | 2 heads) = (1/8) / (25/72)
P(fair | 2 heads) = (1/8) (72/25)
P(fair | 2 heads) = 9/25
Answer:
24m²
Step-by-step explanation:
To find the area of a rectangle, we use the formula A = l * w or Area = length * width.
We know that our length is 2 meters and our width is 12 meters so we can plug these values into the formula to get our answer.
A = 2 * 12 = 24
Remember that area is measured in "square" units and must be raised to the 2nd power.
A = 24m²
<h3>
Answer:</h3>
30.2833 L
<h3>
Step-by-step explanation:</h3>
(x L)/(8 gal) = (3.785411784 L)/(1 gal) . . . . exact conversion
Multiply by 8 gal.
... x L = (8 gal) × (3.785411784 L)/(1 gal) = 30.283294272 L
8 gallons ≈ 30.2833 L
Answer:
Choice C: Lauren is faster than Kevin, slower than Jeremy.
Step-by-step explanation:
Ok, so it directly says that Jeremy is going at y=12x, or 12 miles per hour. To find how fast Kevin is riding, take two points of the table and use the slope formula to get the speed(.
Slope Formula: (y2-y1) / (x2-x1)
So lets take the table plots (2, 22) and (4, 33) to do this.
(y2-y1) / (x2-x1)
(33-22) / (4-2)
(11) / (2)
The speed of Kevin is 5.5 miles by hour.
Then, it asks for how fast Lauren is going, saying she is twice as fast as Kevin. Therefore, simply do:
5.5 * 2 = 11 miles per hour
To get the third biker's speed.
Now, with all of the speeds of the bikers, we can now compare them. Here's a listing of their speeds to make things easier to compare:
Jeremy: 12 mph
Kevin: 5.5 mph
Lauren: 11 mph
From this, we can see that Lauren is the second fastest. She is slower than Jeremy but faster than Kevin. Therefore, the correct answer choice is C.
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
