Answer:
The first 4 are correct and the last one is incorrect
Step-by-step explanation:
1. The diameter of the circle is 30.8 m ( Correct )
Radius = 15.4 so diameter is 2 times the radius which is 30.8 m
2. The circumference in terms of π is 30.8 π ( Correct )
Circumference = π × Diameter
Circumference = π × 30.8
Circumference = 30.8 π
3 . The circumference of the circle can be found using 2 × π × 15 . 4 ( Correct )
Circumference = π × Diameter
Circumference = π × 30.8
Circumference = 30.8 π
4 . The approximate circumference of the circle rounded to the nearest tenth is 96.7 m ( Correct )
Circumference = 30.8 π = 96.7610537306
5 . A little more than 6 diameters could be wrapped around the circle
( False )
Circumference = 96.7610537306
Diameter = 30 . 8
96.7610537306 ÷ 30 . 8 = 3.14
Answer:
$165
Step-by-step explanation:
x = weeks
11 = amount put in per week
11 x 15
165
Answer:
<u>Mean:</u> 810.51
<u>Standard deviation:</u> 128.32
Step-by-step explanation:
First, we calculate the sample mean. We have 35 data samples, so we compute it as
.
In general, given a set of <em>n </em>samples
, we calculate the sample mean as
.
For the standard deviation
, we first begin by calculating it's square. It can be obtained from the formula

By taking square root after computing the right hand side, we attain the desired value.
The attached image shows the dot diagram of this sample. The bottom pink vertical line shows the mean, and the two horizontal pink lines have a lenght of
.
The standard deviation means "The average expected distance a new sample will be from the mean". That's why usually, data samples which are denser around the mean have smaller standard deviations (as opposed to distributions who have a lot of values far away from the mean, which will make the standard deviation grow bigger).