Answer:
9.78083151 irrational
Step-by-step explanation:
Here, we want to sum 2/5 + √(88) and check if it is rational or irrational
2/5 = 0.4
√88 = 2 √22
So 0.4 + 2 √22
So what we want to do here is add a rational number to an irrational number. Kindly recall that surds are irrational numbers.
Mathematically, adding a rational number to an irrational one gives an irrational result
so we have;
9.780831519647 irrational
Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.
Answer:
p = $116.83/0.70 = $166.90
Step-by-step explanation:
let p represent the original price. Then:
(1.00 - 0.30)p = $116.83, or
0.70p = $116.83.
Finally,
p = $116.83/0.70 = $166.90
Answer:
The probability is found:
P = 24/3024 = 1/126
Step-by-step explanation:
To find total number of outcomes, we have to find permutation of 9 things taken 4 at a time:
P(9,4) = 9! / (9-3)!
P(9,4) =362880/120
P(9,4) = 3024
Number of even numbers from 0 to 9 = 4
To find desirable number of outcome, find permutation of 4 things taken 4 at a time.
P(4,4) = 4! / (4-4)!
P(4,4) = 24/1
P(4,4) = 24
The probability that the lock consists of all even digits is
P = No. of desirable outcomes / No. of total outcomes
P = 24/3024