Answer:
Step-by-step explanation:
Mother gave you three twenty dollar bills.
So what you do is add twenty three times.
$20 + $20 + $20
==> $60 dollars
<u>Keep in mind:</u>
We have 60 dollars in our pocket right now.
Mother then gave you four ten dollar bills.
So what you do is add ten four times
$10 + $10 + $10 + $10
==> $40 dollars
Since we already have 60 dollars, we add the other 40 into it.
60 + 40
==> $100 dollars in our pocket right now.
Lastly, Mother gave you twenty five cent coins.
So you add five twenty times
5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5
==> 100 cents or $1
Since we already have 101 dollars, we add the other 1 into it.
101 + 1
==> $101 dollars Mother gave you in total
Answer:
Probability from Urban Area =
Probability NOT from Rural Area =
Step-by-step explanation:
Total 178
Urban 110
Suburban 56
Rural 12
Hence, probability of x is number of x divided by total.
So, probability that she is from an urban area = 110/178 = 55/89
And
probability NOT a rural area (means urban and suburban which is 110+56=166) = 166/178 = 83/89
Hello!
To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.
----
First, move the /2 to the other side of the equation.
(a+1)/2 = 1/a
a+1 = 2/a
Next, multiply both sides by a.
a+1 = 2/a
And then subtract both sides by 2. This will get you to a quadratic equation.
Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.
Therefore:
(a + 2)(a - 1) = 0
To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.
Therefore, a = -2, or a = 1.
----
Check your work:
(-2 + 1)/2 = 1/-2
-1/2 = -1/2
(1 + 1)/2 = 1/1
2/2 = 1/1
1 = 1
----
Hope this helps!
Answer:
It takes 7.37 hours for the size of the sample to double.
Step-by-step explanation:
Continuous exponential growth model:
The continuous exponential growth model for populations is given by:
In which P(0) is the initial population and r is the growth rate parameter, as a decimal.
Growth rate parameter of 9.4% per hour.
This means that
So
How many hours does it take for the size of the sample to double?
This is t for which P(t) = 2P(0). So
It takes 7.37 hours for the size of the sample to double.