Answer:
Step-by-step explanation:
We want to reduce the radical. In order to do that, we want to find the factors of 96 that are square numbers
The factors of 96 are:
16 is a square number, so we can rewrite
Answer:
The probability of the combination {H, T and H} is 0.125.
Step-by-step explanation:
The sample space of flipping a quarter is:
S = {H and T}
The probability of both outcomes is same, i.e. P (H) = P (T) = 0.50.
It is provided that three quarters are flipped one at a time.
The outcomes of all the three quarters are independent of each other.
Compute the probability of the combination {H, T and H} as follows:
Thus, the probability of the combination {H, T and H} is 0.125.
Answer:
less than 1 1/2 gallons
Step-by-step explanation:
1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.
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A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...
1/3 + 1/5 + 1/2
= 10/30 + 6/30 + 15/30
= 31/30 = 1 1/30 . . . . . less than 1 1/2
In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...
0.333 +0.200 +0.500 = 1.033
which is less than 1.5.
Answer:
Simplify √ 105
A. 2√ 7
B. 2√ 3
<u>C. √ 105 </u>
D. √ 42
Step-by-step explanation:
Two strings are 15 inches and 7 inches long.
You could draw a diagram that has two rulers (that are longer than 12 inches).
Draw a piece of string that is exactly 15 inches on one ruler.
Draw another piece of string on the other ruler at exactly 7 inches.
Then you can find the total length of the two strings by adding 15 and 7 inches.
15 + 7 = 22
The total length of both the strings is 22 inches. You can draw a ruler and a piece of string on it at 22 inches.
