The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
A geometric sequence is in the form aₙ = ar⁽ⁿ⁻¹⁾, where a is the first term and r is the common ratio.
The geometric sequence 81, 27, 9, 3, … has common ratio:
r = 27/81 = 1/3
The explicit formula for this geometric sequence 81, 27, 9, 3, … is aₙ = 81(1/3)ⁿ⁻¹. It has common ratio of 1/3 and first term of 81.
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Answer:
0.01596
Step-by-step explanation:
A scientist claims that 8% of the viruses are airborne
Given that:
The population proportion p = 8%
The sample size = 477
We can calculate the standard deviation of the population proportion by using the formula:




The required probability can be calculated as:


= P(Z < -2.41) + P(Z > 2.41)
= P(Z < -2.41) + P(Z < -2.41)
= 2P( Z< - 2.41)
From the Z-tables;
= 2 ( 0.00798
= 0.01596
Thus, the required probability = 0.01596
Answer:
32
Step-by-step explanation:
24/3 = 8
8x2 = 2/3 of 24
8x2=16
he made 16 baskets
each basket = 2 points
16x2 = 32
Answer:
48; 14.90 or 14.9
Step-by-step explanation:
First you have to take the mean of the data set.
In order to do this, we take the sum of all of the data points and then divide them by the number of values like so...

The answer to this is 33.1.
Now we have to find the value furthest from this value. In order to do this, we are going to take the highest (48) and the lowest value(23). Then we compare their distance from 33.1. After this, we can tell that 48 is further from 33.1 than 23 is.
Then for the second part, 48-33.1 = 14.90 and that is how far the value is from the mean.
Answer:
see below
Step-by-step explanation:
9x-y =8 re-arrange
y = 9x -8 slope , m = 9 parallel slope is the same = 9
point slope form thru point 4,4
y-4 = 9 ( x-4)
y-4 = 9x - 36
y = 9x -32
y - 9x = -32
9x-y = 32