Answer:
0.0015 or 0.15%
Step-by-step explanation:
Data
- mean age of sea turtles, μ: 80 years
- standard deviation, σ: 17.3 years
Z score is defined as:
Z = (x - μ)/σ
To find the probability of finding a sea turtle that is over the age of 131.9 years, we have to replace x = 131.9, to get:
Z = (131.9 - 80)/17.3 = 3
The 68 - 95 - 99.7 rules stands that (see figure attached):
P(Z > 3) = 0.0015
Answer:
Since L.H.S = R.H.S = 0, for both and , y₁ and y₂ both satisfy the equation y" - y = 0 and are thus solutions to the differential equation.
Step-by-step explanation:
To check whether the given functions are solutions the given differential equation, we differentiate the functions and then insert it into the given equation.
So y" - y = 0 and
Substituting these values of y and y" into the left hand side of the equation, we have
y" - y
Since L.H.S = R.H.S
So is a solution of the differential equation.
When
Substituting y and y" into the left hand side of the equation, we have
y" - y
Since L.H.S = R.H.S
So, is a solution of the differential equation.
We are tasked to solve for the total number of hours given the exponential model P = 100e0.7t where P represents the calories.
P = 300
Solving for t, we have:
300 = 100e0.7t
300/100 =e0.7t
3=e0.7t
ln3 = 0.7 t
t = ln3 / 0.7
t = 1.57 hours
The answer is the letter "B" which is 1.6.
<span>-5 2/3 + 3 1/4 + (-7 1/3) is </span>-9 3/4
In this item, we let x be the amount that is deposited in the account that has a simple interest equal to 7%. With this representation, the amount that is deposited in the account with simple interest of 6% is equal to 12000 - x.
The amount of interest earned from the investment is calculated through the equation,
I = P x (i)
For the first investment,
I = (x)(0.07)
For the second investment,
I = (12000 - x)(0.06)
Adding up the interests,
800 = 0.07x + (0.06)(12000 - x)
The value of x from the equation is 8000.
<em>Therefore, the amount invested to that with 7% interest is $8000 and the amount invested to that with 6% interest is $4,000.</em>