Ok, so;
Let me draw the figure here below:
We know that the area of a circle can be found using the next equation:
Area = πr².
Where r is the radius and π is a number.
So, the area of this circle, will be:
Area = π(1km)²
Area = π km²
Hey!
It says that it is the sum of 3 consecutive odd integers right?
So then we give these numbers some variables to work with like so...
x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number
now set all of them equal to 207
x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u /> <u>x + 2 = 69</u><u /> <u /><u /> <u>x + 4 = 71
</u><u>
</u>
Answer:
the same number of teachers as students were surveyed...im not exactly sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the information given,
Mean, μ = (10.31 + 17.22 + 26.62 + 22.84)/4 = 19.2475
Standard deviation, σ = √summation(x - mean)/n
Summation(x - mean) = (10.31 - 19.2475)^2+ (17.22 - 19.2475)^2 + (26.62 - 19.2475)^2 + (22.84 - 19.2475)^2 = 151.249475
σ = √(151.249475/4)
σ = 6.15
number of sample, n = 4
The z score for 98% confidence interval is 2.33
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
19.2475 ± 2.33 × 6.15/√4
= 19.2475 ± 2.33 × 3.075
= 19.2475 ± 7.16
The lower end of the confidence interval is 19.2475 - 7.16 = 12.09
The upper end of the confidence interval is 19.2475 + 7.16 = 26.41
