Answer:
1461460
Step-by-step explanation:
From the question given, we obtained the following data:
a = 22
Last term = T6 = 1299078
Let us find the common ratio(r)
Tn = ar^(n-1)
T6 = ar^5
1299078 = 22r^5
Divide both side by 22
r^5 = 1299078/22
r^5 = 59049
Take the fifth root of both side
r = 5√ 59049
r = 9
Now we can find the sum of the 6th term as follows
Sn = a[(r^n) — 1] / (r —1)
S6 = 22[(9^6) — 1] / 9—1
S6 = 22[(9^6) — 1] / 9—1
S6 = 22[531441 — 1] / 8
S6 = 22[531440] /8
S6 = 22 x 66430
S6 = 1461460
Answer:
0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
The probability that a call received by a certain switchboard will be a wrong number is 0.02.
150 calls. So:
Use the Poisson distribution to approximate the probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
Either there are less than two calls from wrong numbers, or there are at least two calls from wrong numbers. The sum of the probabilities of these events is 1. So
We want to find . So
In which
Then
0.2008 = 20.08% probability that among 150 calls received by the switchboard, there are at least two wrong numbers.
49 cents is the better buy
Step-by-step explanation:
How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.
How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.
Answer:
x = 6.928
Step-by-step explanation:
Since we don't know the hypotenuse, we will use tan
tanΘ = opposite/adjacent (Θ = theta, which is basically the variable for an angle)
tan30° = x/12
to find x, multiply 12 to the other side
12tan30° = x (plug this into a calculator)
x = 6.928