6/10 of an inch= 0.6
7 (times) 0.6 (equals) 4.2
Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax
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Answer:</h3>
<em>The theoretical probability to draw a black marble is </em><u><em>0.23</em></u><em>. </em>
Step-by-step explanation:
First add up the total amount of marbles in the bag.
14 gray marbles + 7 black marbles + 10 white marbles = 31 total marbles.
Since we need the odds of a black marble being drawn, divide 7 (the amount of black marbles) by 31 (the amount of total marbles).
7/31 ---> 0.22580645161 <u><em>(it is easiest to use a calculator on this step)</em></u><em> </em>
Lastly, round the decimal to the nearest hundredth.
0.22580645161 ---> <em>0.23</em>
<em>0.23</em> would be the odds of drawing a black marble.
Step-by-step explanation:
9.5k multiply 3 = 285,000
Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
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Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
