No, this is not normal
This is a binomial distribution. Use BINS to determine if this is binomial.
B - binary?
I - independent?
N - number of trials
S - probability of success
B - yes, 3 or not a 3
I - yes, past rolls do not impact future rolls
N - 20 trials
S - prob success 1/6
Use binompdf on your calculator to find out the probability. To access, 2nd —> vars —> binompdf
Binompdf(20 (trials), 1/6 (p), 11 (x)) = 8.97x10^-5
The probability to roll a 3 11 times is .0000897. The chances are very low, making this not normal.
Answer:
the number of bacteria increases at a rate of 15% each day
Step-by-step explanation:
Given the function :
f(x) = 256(1.15)^x
The function represents an exponential growth function ; comparing the equation with the general form of an exponential growth function :
f(x) = A(1 + r)^t
A = the initial value of the population, = 256
(1 + r),; r = growth rate
Therefore, to solve for r ;
1 + r = 1.15
r = 1.15 - 1 ; r = 0.15
Hence, growth rate = 0.15 = 0.15 * 100% = 15%
Hence, the number of bacteria increases at a rate of 15% each day
Since I know that 64/16 is 4, I know that 67.6/16 is a bit bigger than 4, but smaller than 5 due to that 80/16=5. To find the quotient, we know that 16*4=64, so 67.6-64=3.6, so it's 4 remainder 3.6. To make it an actual number, we do 4+3.6/16
Answer:
The expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Step-by-step explanation:
The formula to compute the future value is:
PV = Present value
r = interest rate
n = number of periods.
It is provided that $5,000 were deposited now and $3,000 deposited after 6 years at 10% compound interest. The amount of time the money is invested for is 14 years.
The expression to compute the amount in the investment account after 14 years is,
The future value is:
Thus, the expression to compute the amount in the investment account after 14 years is: <em>FV</em> = [5000 ×(1.10)¹⁴] + [3000 ×(1.10)⁸].
Answer: 48 square units
Step-by-step explanation:
8 * 12 = 96
The square is 96 square units.
6 * 8 = 48/2 = 24
24 is the shaded region of 1 of the triangles.
24 * 2 = 48.
The total shaded region is 48 square units.