Answer: The probability distribution for the number of cells in the third generation is a Binomial distribution.
Step-by-step explanation:
We use binomial distribution when we have repeated process and the outcome is either a success or a failure.
The probability of success. P ( probability of dying). The probability of failure q ( probability of splitting into two).
The formula for binomial distribution is : n combination x multiplied by p raised to power x multiplied by q raised to power n-x.
Answer:
9801
Step-by-step explanation:
Given the general term for calculating the nth term of a sequence;
Sn = n²
Where n is the number of terms.
To find the 99th term of the sequence using the nth term of the sequence;
Since we want to get the 99th term, this means that n = 99. Substituting n = 99 into the formula we will have;
S99 = 99²
S99 = 9,801
Answer:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Step-by-step explanation:
Calculation to determine the sequences that describes his increasing monthly balance
Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.
First sequence will be the amount he owes on a credit which is $950
Second sequence
950 * .018 = 171.00
950 + 171.00 = 1121.00
Third sequence
1121.00 * .018 = 201.78
1121.00 + 201.78 = 1322.78
Fourth sequence
1322.78*0.18=238.10
1322.78+238.10=1,560.88
Last sequence
1,560.88*0.18=280.96
1,560.88+280.96=1,841.84
Therefore the sequences that describes his increasing monthly balance are:
950, 1121.00, 1322.78, 1,560.88, 1,841.84
Answer:
37.70 feet
Step-by-step explanation:
-The radius of each tire is given as 6 feet.
-Distance around each tire is equivalent to the circumference of each tire.
#Circumference is calculated as:
Hence, the distance around each tire is 37.70 feet
The value of x is ![5\sqrt[3]{25}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B25%7D)
.
Solution:
Given expression is ![-7=8-3 \sqrt[5]{x^{3}}](https://tex.z-dn.net/?f=-7%3D8-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D)
.
Switch both sides.
![8-3 \sqrt[5]{x^{3}}=-7](https://tex.z-dn.net/?f=8-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%3D-7)
Subtract 8 from both side of the equation.
![8-3 \sqrt[5]{x^{3}}-8=-7-8](https://tex.z-dn.net/?f=8-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D-8%3D-7-8)
![-3 \sqrt[5]{x^{3}}=-15](https://tex.z-dn.net/?f=-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%3D-15)
Divide by –3 on both side of the equation.
![$\frac{-3 \sqrt[5]{x^{3}}}{-3} =\frac{-15}{-3}](https://tex.z-dn.net/?f=%24%5Cfrac%7B-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%7D%7B-3%7D%20%3D%5Cfrac%7B-15%7D%7B-3%7D)
![\sqrt[5]{x^{3}}=-5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%3D-5)
To cancel the cube root, raise the power 5 on both sides.
![(\sqrt[5]{x^{3}})^5=(-5)^5](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%29%5E5%3D%28-5%29%5E5)
To find the value of x, take square root on both sides.
![\sqrt[3]{x^3}=\sqrt[3]{25}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%3D%5Csqrt%5B3%5D%7B25%7D)
![x=5\sqrt[3]{25}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B25%7D)
Hence the value of x is .
