Because you have 9 tiles in total, at first she has a 4 out 9 chance that she will turn over a tile with plants on it. Next she removed one so this means she has a 3 out of 9 chance of getting a tile with a plant on it. In percentage she will have a 33% chance of picking a tile with a plant on it . When there were 4 tiles with plants on them she had a 44% chance of picking one with a plant on it.
The property illustrated by -1/3+1/3=0 is ADDITIVE INVERSE
When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2
<h3>Data obtained from the question</h3>
- [(x^2)^3 × 5x] / [6x^2 × 15x^3]
- Simplification =?
<h3>How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3]</h3>
[(x^2)^3 × 5x] / [6x^2 × 15x^3]
Recall
(M^a)^b = M^ab
Thus,
(x^2)^3 = x^6
- [(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]
Recall
M^a × M^b = M^(a+b)
Thus,
x^6 × 5x = 5x^(6 + 1) = 5x^7
6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5
- [x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5
Recall
M^a ÷ M^b = M^(a - b)
Thus,
5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2
Therefore,
- [(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2
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Answer:
0.54,0.8,0.368
Step-by-step explanation:
Given that according to a survey published by ComPsych Corporation, 54% of all workers read e-mail while they are talking on the phone.
Prob for persons who read email while talking on the phone = 54% = 0.54
Prob for persons who read email while talking on the phone to write to do lists = 0.20
Assuming that these figures are true for all workers, if a worker is randomly selected, the probability that
a. The worker reads e-mail while talking on the phone and writes personal "to-do" lists during meetings.
b. The worker does not write personal "to-do" lists given that he reads e-mail while talking on the phone.
c.The worker does not write personal "to-do" lists and does read e-mail while talking on the phone.
Answer: 13
Step-by-step explanation:
let m = Matt's age
let a = Andy's
:
Write an equation for each statement
:
Matt is four years younger than twice his cousin Andy’s age.
m = 2a - 4
The sum of their ages is greater than 35.
m + a > 35
What is the youngest age that Andy can be?
replace m with (2a-4) from the 1st statement
2a - 4 + a > 35
3a > 35 + 4
a > 39/3
a > 13
least integer has to be a = 14
:
:
Check, find m
m = 2(14) - 4
m = 24
24 + 14 = 38 greater than 35
If a = 13
m = 2(13) - 4
m = 22
22 + 13 = 35 which is not greater than 35