Answer: It will take about 77 years (76.8 years).
Step-by-step explanation: Time is given by the equation: N=No.e^kt. You know that the concentration has to be 15% from the original so N=15 and No=100. To determine k, you have to look at the half-life. k=ln(0.5)/half-life time. For 28 years, k=-0.0247. Replacing it back into the N=No.e^kt equation, the answer will be 76.8 years.
Answer:
y = -
x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
3x + 4y = 8 ( subtract 3x from both sides )
4y = - 3x + 8 ( divide all terms by 4 )
y = -
x + 2 ← in slope- intercept form
According to the given, 1 in every 10 women has been a victim, therefore the probability of a victim of domestic abuse at some pint is

We need to use Binomial distribution to take a randomly sampled of 25 women and asked each whether she has been a victim.

Where x is the event that shows a victim of domestic abuse at some point.
We need to find the probability of these victim at least 2 has been victim of abuse, so
![P(x>=2) = 1- [P(x=0)+P(x=1)]](https://tex.z-dn.net/?f=P%28x%3E%3D2%29%20%3D%201-%20%5BP%28x%3D0%29%2BP%28x%3D1%29%5D)
![P(x>=2) = 1 - [^{25}C_0(0.10)^0(1-0.10)^{25-0}+^{25}C_1(0.10)^1(1-0.10)^{25-1}]](https://tex.z-dn.net/?f=P%28x%3E%3D2%29%20%3D%201%20-%20%5B%5E%7B25%7DC_0%280.10%29%5E0%281-0.10%29%5E%7B25-0%7D%2B%5E%7B25%7DC_1%280.10%29%5E1%281-0.10%29%5E%7B25-1%7D%5D)
![P(x>=2) = 1 - [0.07198+0.199]](https://tex.z-dn.net/?f=P%28x%3E%3D2%29%20%3D%201%20-%20%5B0.07198%2B0.199%5D)

So the probability is 0.729
Answer:
Building's actual height 32 meters
Building's shadow height 20 meters
Person's shadow height 1.2 meters
Person's actual height = ?
Find the person's actual height:
This is a proportion problem.
Actual height to shadow height
Building = Person
32 : 20 = x : 1.2
32 * 1.2 = 20 * x
38.4 = 20x
38.4/20 = 20x/20
1.92 = x
The person's actual height is 1.92 meters long.
32 : 20 = 1.92 : 1.2
32/20 = 1.60
1.92/1.2 = 1.60
Step-by-step explanation:
Answer:
1584 cu in.
Step-by-step explanation:
Since the volume varies jointly with the radius and height we have an equation V = kr^2h where k is the constant of variation
28 = 2^2(7)k = 28k
k = 1
Now V = r^2h
V = (12)^2(11) = 144(11) = 1584 cu in.