Answer:
37105425043/10000000000
Step-by-step explanation:
Remember that multiplying by 10 moves the decimal to the right. So, if you multiply 3.7105425043 by 10, you get 37.105425043. So, another way to right this number would be 37.105425043/10. That doesn't quite work because the numerator, 37.105425043, is still not a whole number.
But, if keep multiplying numerator and denominator by 10, you will eventually get 37105425043/10000000000; now, you just need to simplfy.
Because the denominator, 10000000000, has only 2's and 5's as factors (because it is a power of 10), and the numerator does not have any factors of 2 or 5 (because it is not even and does not end in 5 or 0), no simplication is possible.
Thus, the answer is 37105425043/10000000000
The sum of the probabilities in a probability distribution is always 1.
A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:
Each probability in the distribution must be of a value between 0 and 1.
The sum of all the probabilities in the distribution must be equal to 1.
An example: You could define a probability distribution for the observation for the number displayed by a single roll of a die. The probability that the die with show a "1" is
1
6
.
That's because there are six possible outcomes, and only one of those outcomes is a "1". Lets label the probabilities of all the possible outcomes for the single die.
Roll a "1": Probability is
1
6
Roll a "2": Probability is
1
6
Roll a "3": Probability is
1
6
Roll a "4": Probability is
1
6
Roll a "5": Probability is
1
6
Roll a "6": Probability is
1
6
Each probability is between 0 and 1, so the first property of a probability distribution holds true. And the sum of all the probabilities:
1
6
+
1
6
+
1
6
+
1
6
+
1
6
+
1
6
=
1
,
so the second property of a probability distribution holds true.
Answer:
-15.4
Step-by-step explanation:
Simply just means "solve" or "make the equation shorter"
Answer: 4.5×10^9
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
10
. The sign of the exponent will depend on the direction you are moving the decimal.
4.5
×10
9
Answer:
between 5 and 6
Step-by-step explanation:
Choose 2 perfect squares either side of 28, that is
25 < 28 < 36, then
<
<
, thus
5 <
< 6