Set it up as a proportion. 14.25 miles is to 90 minutes as x is to 120 minutes.
We have to solve with like units of measure, so we have to change the hours to minutes before we can set up the proportion.
60 minutes= 1 hour
120 minutes = 2 hours
x= miles in 2 hours
14.25/90 = x/120
cross multiply
(14.25 * 120)= (90 * x)
1710=90x
divide both sides by 90
19= x
You could ride 19 miles in 120 minutes, so you could ride 19 miles in 2 hours.
Did you need help on #2 also?
Hope this helps! :)
Answer:
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Step-by-step explanation:
Answer:
We can conclude that on this case we have identical processes but excersise 17 use another way to present the probability distribution and as we can see the expected value can be viewed as a dot product of two vectors with one vector containing the outcomes and the other the probabilities for each possible outcome.
Step-by-step explanation:
Assuming this previous info:
Exercise 17. Suppose that we convert the table on the previous page displaying the discrete distribution for the number of heads occurring when two coins are flipped to two vectors.
Let vector
Answer:
C. 18 cm
Step-by-step explanation:
The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio
3 : 4 : 5 = 9 : 12 : 15
Half of XY is 9 cm, so the length of the entire chord is 18 cm.
_____
The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).
The unknown side (a) can be found from ...
15² = 12² +a²
225 -144 = a² . . . . . . subtract 12²
81 = a² . . . . . . . . . . . simplify
9 = a . . . . . . . . . . . . . take the square root
The chord length is 2a, so is ...
2(9 cm) = 18 cm . . . . length of chord XY
The volume of the prism is 31.25 cm cubed.
Therefore the container has a higher volume.
35 - 31.25 is 3.75.
The difference is 3.75