0.00037 = 3.7×10^-4
37,000 = 3.7×10^4
_____
The exponent of 10 is the place-value multiplier that the most-significant digit has.
In the first number, the most-significant digit (3) is multiplied by 0.0001 to find its place value. Of course 0.0001 = 10^-4.
In the second number, the most significant digit (3) is multiplied by 10,000 to find its place value. You know that 10,000 = 10^4.
Answer:
What is a reasonable domain for the two functions?
x > 0
Answer:
25,26,27, and 28
Step-by-step explanation:
Write consecutive integers as x,x+1,x+2,x+3,x+4, and so forth.
x+x+1+x+2+x+3
---------------------- = 53
2
1) Combine alike terms:
4x+6
------- = 53
2
2) Multiply both sides by 2:
4x+6=106
3) Subtract 6 from both sides:
4x=100
4) Divide both sides by 4:
x=25
5) Plug in 25 for x for all 4 integers:
25
26
27
28
Answer:
the probability is 2/9
Step-by-step explanation:
Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).
p(dime first) = 4/10 = 2/5
Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.
The joint probability of these two events occurring sequentially is the product of their probabilities:
p(dime then nickel) = (2/5)×(5/9) = 2/9
_____
<em>Alternate solution</em>
You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.
p(dime/nickel) = 20/90 = 2/9
