Answer:
Step-by-step explanation:
As stated in the question, the probability to toss a coin and turn up heads in the first try is , in the second is , in the third is and so on. Then, P(C) is given by the next sum:
This is a geometric series with factor . Then is convergent to . With this we have proved that P(C)=1.
Now, observe that
Then
and
Answer:
See below.
Step-by-step explanation:
The circumstance is that the circle started out as a sphere. It was taking a walk down the street. A piano fell on it, squashed it, and it became a circle.
Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.
<h3>What is a linear function?</h3>
A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is , the slope is of , and the function is:
For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is , the slope is of , and the function is:
The plans cost the same for x minutes of calling, considering that:
The two plans cost the same for 5000 minutes of calling.
To learn more about linear functions, you can take a look at brainly.com/question/24808124
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,
n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.
5.3
<u>Standard Deviation</u>
We take the square root of the variance,
2.3
If you are not familiar with variance and standard deviation, just leave it.
From 5 miles to 16 miles in 11 miles in between.