Answer:
C
Step-by-step explanation:
The standard form for the explicit formula of a geometric sequence is given by:

Where a is the initial term, r is the common ratio, and n is the nth term.
Our sequence is: 8, 4, 2, 1...
So, we can see that our initial term or a is 8.
Each subsequent term is half of the previous one. So, our common ratio is 1/2.
Let's substitute 8 for a and 1/2 for r to acquire:

So, our answer is C.
And we're done!
12x+9300=78900
12x=69600
x=5800
x being her monthly salary
Answer:
7³
Step-by-step explanation:
You could answer this after a quick inspection. 7 remains constant as t approaches 8. Each of the (t -1) terms will approach 7. So, multiplying these factors together, you'll get 7(7)(7) = 7³3 as your answer, the limit as t approaches 8 of the given expression.
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
the answer to 12 divided by 50 calculated using Long Division is:
0
12 Remainder