$2.00 in quarters is 8 quarters, since 1 quarter is 25 cents.
Out of those 8 quarters, only 3 are state quarters.
That means 5 are not state quarters.
So there is a 5/8 chance that the first quarter he takes out is not a state quarter.
If it is not, then there are 3 state quarters and 7 total quarters left, which means a 4/7 chance that the second quarter is not a state quarter.
To find the probability of both of these quarters not being state quarters, multiply the probabilities by each other.
4/7 • 5/8 = 20/56
Now simplify:
20/56 = 10/28 = 5/14
5/14 is in simplest form, so it is the answer.
So the answer is D. 5/14.
Answer:
3 miles per hour.
Step-by-step explanation:
15 divided by 5 is 3
each hour he would have covered 3 miles of distance.
Answer:
WU = (14√13)/13 ≈ 6.6564
Step-by-step explanation:
Call the incenter of ∆KWU point A. Call the center of circle ω2 point B.
Then ∠KWA has half the measure of arc WA. ∠AWU is congruent to ∠KWA, so also has half the arc measure. That is, ∠KWU has the same measure as arc WA and ∠KBW.
KB is a perpendicular bisector of chord WU, so ∆KWB is a right triangle, of which WU is twice the altitude to base KB.
The length of KB can be found several ways. One of them is to use the Pythagorean theorem:
KB² = KW² +WB² = 4² +6² = 52
KB = √52 = 2√13
The area of triangle KWB is ...
area ∆KWB = (1/2)KW·WB = (1/2)(4)(6) = 12 . . . . square units
Using KB as the base in the area calculation, we have ...
area ∆KWB = (1/2)(KB)(WU/2)
12 = KB·WU/4
WU = 48/KB = 48/(2√13) = 24/√13
WU = (24√13)/13 ≈ 6.6564
Answer:
B: (c - 2a, 0) is the answer.
75% of n is 375.
Step-by-step explanation:
Given,
45% of a number n = 225
We will find n first.
Dividing both sides by 0.45
Now we have to find 75% of n.
75% of n =
75% of n = 375
75% of n is 375.
Keywords: percentage, division
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