It's not perfectly clear, but you seem to be saying that each week, the
pond becomes 3% deeper than it was THE PREVIOUS WEEK.
If I'm reading that correctly, then the pond is 10-ft deep when the rainy
season begins, and after 'x' weeks later, the depth is
D = 10 (1.03)^x feet.
After 8 weeks, the depth is D = 10 (1.03)⁸ = 12.67 feet .
rounded to the nearest foot, D = 13 ft.
Answer:
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Probability of biotechnology start-up company of becoming profitable = 0.2
Probability of information technology start-up company of becoming profitable = 0.15
2. Assume the companies function independently What is the probability that both companies become profitable?
We will answer this question, assuming these are independent events, this way:
Probability that both companies become profitable = Probability of biotechnology start-up company of becoming profitable * Probability of information technology start-up company of becoming profitable
Replacing with the values given, we have:
Probability that both companies become profitable = 0.2 * 0.15 = 0.03
<u>The probability that both companies become profitable is 0.03 or 3%.</u>
<span>1/5
This is a matter of elimination. So let's figure out how many of each display there is.
30% of 150 = 0.30 * 150 = 45 displays about electricity.
2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy
1/10 * 150 = 150/10 = 15 displays about gas.
The rest of the displays are about nuclear power. So
150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150
But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30
(30/30)/(150/30) = 1/5
So 1/5 of the displays are about nuclear power.</span>
Answer:
The function a (t) is a vector function composed of the component functions
and
. How
are infinitely derivable functions in R, so they are regular functions in R.
Now, for
, you have to
. How the functions
are periodic functions with period
the vector function
will take the same point
at
then the vector function is auto-intercepted
Step-by-step explanation:
Answer:
<h3>
10, 12, 14</h3>
Step-by-step explanation:
Consecutive even integers increase by 2.
x ← an integer
2x ← an even integer (the smallest)
2x+2 ← next even integer consecutive to 2x (the middle one)
2x+2+2=2x+4 ← the last even integer consecutive to 2x+2 (the largest)
2(2x+2) ← twice the middle number
2x+2(2x+2) ← the sum of the smallest number and twice the middle
2x+4+20 ← 20 more than the largest number
2x + 2(2x + 2) = 2x + 4 + 20
2x + 4x + 4 = 2x + 24
-4 -4
6x = 2x + 20
-2x -2x
4x = 20
÷2 ÷2
2x = 10
2x+2 = 10+2 = 12
2x+4 = 10+4 = 14