Answer:
64cm^2
Step-by-step explanation:
3+1+4=8
8×8= 64cm^2
<h3>
Answer: 0.00174</h3>
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Explanation:
There are 4 ways to select 3 aces where order doesn't matter. It's basically the same as saying there are 4 ways to leave out one ace.
Then we have 2 slots left to fill. There are (48*47)/2 = 1128 ways to do this where order doesn't matter. The 48 is from the fact there are 52-4 = 48 cards that aren't aces. We step down to 47 after picking the first non-ace card. The 2 in the denominator is to correct for double counting.
We found there were 4 ways to pick the three aces, and 1128 ways to pick the other two non-ace cards. Overall, there are 4*1128 = 4512 ways to pick all five cards where we have exactly 3 aces.
This is out of 52C5 = 2,598,960 ways to select any five cards from a 52 card deck. I'm using the nCr formula which is
Use n = 52 and r = 5 to get the value mentioned. The exclamation marks indicate factorial.
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To recap, there are
- 4512 ways to pick exactly three aces
- 2,598,960 ways to pick five cards without any restrictions
Dividing the two values gets us the final answer
4512/(2,598,960) = 0.001736079047
This value rounds to 0.00174
Step 1ask a research questionstep 2design a study and collect datastep 3explore the datastep 4draw inferences beyond the datastep 5formulate conclusionsstep 6<span>look back and ahead</span>
Answer:
Quarters = 10
Dimes = 15
Step-by-step explanation:
d = number of dimes, q = number of quarters
d + q = 25 is the equation for number of coins
0.1d + 0.25q = 4 is the equation for value of coins
First, solve for d in terms of q:
d + q = 25
d = 25 - q
Then substitute that into the other equation:
0.1(25 - q) + 0.25q = 4
2.5 - 0.1q + 0.25q = 4
0.15q = 1.5
q = 10
And back to d = 25 - q, d = 25 - 10 = 15
Check the math:
0.1(15) + 10(0.25) = 1.5 + 2.5 = 4
LMK if you have questions
Going down stream the boats going 21 mph and upstream it's 3 miles per hour so the current im guessing is 7 mph