The 12th term of the given geometric sequence is equal to -8,388,608.
<u>Given the following sequence:</u>
<h3>What is a geometric sequence?</h3>
A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.
Mathematically, a geometric sequence is given by the expression:
<u>Where:</u>
- a is the first term of a geometric sequence.
Substituting the given parameters into the formula, we have;
12th term = -8,388,608.
Read more on geometric sequence here: brainly.com/question/12630565
Answer:
El resto es 9.
Step-by-step explanation:
En una división el cociente es el resultado que se obtiene, el divisor es el número por el que se divide otro número, el dividendo es el número que va a dividirse entre otro y el resto es lo que queda cuando un número no puede dividirse exactamente entre otro. De acuerdo a esto, la división planteada se encuentra en la imagen adjunta donde al resolverla se encuentra que el número que queda es 9 y este es el resto.
Answer:
0
Step-by-step explanation:
Let X to be a random variable that looks a binomial distribution which denoted the number of employees out of the 281 who earn the prevailing minimum wage or less
The sample size n = 281
The population parameter p = 5% = 0.05
Using normal approximation for the mean.
The standard deviation is:
By using continuity correction; the sample mean x is:
x = 30 - 0.5
x = 29.5
The z statistic test can now be as follows:
Z = 4.23
Thus, the probability that company A will get a discount is
P(X ≥ 30) = P(Z >4.23)
= 1 - P(Z < 4.23)
By using the Excel function for the z score 4.23 i.e. "=1 - NORMSDIST(4.23)" we get;
= 0.0000
Answer:
(a)
(b) There will be 1lb left after 14 hours
Step-by-step explanation:
Solving (a): The equation
Since the substance decomposes at a proportional rate, then it follows the following equation
Where
Initial Amount
rate
time
Amount at time t
Solving (b):
We have:
First, we calculate k using:
This gives:
Substitute:
Divide both sides by 4
Take natural logarithm of both sides
This gives:
Solve for k
So, we have:
To calculate the time when 1 lb will remain, we have:
So, the equation becomes
Divide both sides by 8
Take natural logarithm of both sides
Solve for t
--- approximated