Simplify the expression. Write the answer using scientific notation. (5 x 102)−2
2 answers:
Answer:
Step-by-step explanation:
I will assume that you want to write this number in scientific notation
(5 x 102)⁻²
So, first, we are going to solve the parenthesis and we get 5 x 102 = 510.
(5 x 102)⁻² = (510)⁻²
However, we know that when we have negative exponents we can make them positive by let them become part of the denominator, therefore we would have:
(510)⁻²=
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Answer:
The probability is 0.995 ( approx ).
Step-by-step explanation:
Let X represents the event of baby girl,
The probability of a baby being a girl is, p = 0.469,
So, the probability of a baby who is not a girl is, q = 1 - 0.469 = 0.531,
Also, the total number of experiment, n = 7
Thus, by the binomial distribution formula,
Where,
The probability that all babies are girl or there is no baby boy,
Hence, the probability that at least one of them is a boy = 1 - P(X=7)
= 1 - 0.00499125661758
= 0.995008743382
≈ 0.995
Answer:
a = 6
Step-by-step explanation:
Area = 36
Only one number will make this missing length true.
Obviously it's a square so one number x one number will equal to 36
6 x 6 = 36
Given:
The inequality is:
To find:
The y-intercept, slope and type of line (solid or dotted).
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
The relation equation is:
...(ii)
On comparing (i) and (ii), we get
It means the slope is 5 and the y-intercept is 3.
The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.
Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.