We take the function as a sequence
Term 1 ⇒ 5
Term 2 ⇒ 4
Term 3 ⇒ 3.2
Between terms, there is a common ratio of ⁴/₅
We get it from here:
Term 2 / Term 1 =
Term 3 / Term 2 =
=
When a sequence has a common ratio between term, the sequence is a Geometric Sequence
Where
is the first term,
is the common ratio, and
is the term number
We have:
and
The formula for the function is
You should plot the total distance traveled from the base camp on the x-coordinate while the elevation should be plotted on the y-coordinate.
<h3>What is a graph?</h3>
A graph simply refers to a type of chart which is commonly used to graphically represent data on both the vertical and horizontal lines of a cartesian coordinate (x-coordinate and y-coordinate).
<h3>How to plot this graph?</h3>
In this scenario, you would plot the total distance traveled from the base camp on the x-coordinate while the elevation of the camps would be plotted on the y-coordinate as shown in the image attached below.
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Answer: c
Step-by-step explanation:
bc
Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
According to the question,
We have the following information:
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.
Now, let's take the percent to be x.
We have the following expression:
2400*x/100 = 125
24x = 125
x = 125/24
x = 5.21%
Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
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