Find the scale factor,and find the unknown side lengths. Help if you can please
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The mean and standard deviation for the set of data will be 16 and 5.87. Then the correct option is A.
<h3>What is a standard deviation?</h3>It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The set of data is given below.
16, 22, 8, 5, 20, 18, 14, 17, 24
The mean of the data set will be
μ = (16 + 22 + 8 + 5 + 20 + 18 + 14 + 17 + 24) / 9
μ = 144 / 9
μ = 16
Then the standard deviation of the data set will be
Simplify the expression further, then we have
σ = √34.44
σ = 5.87
The mean and standard deviation for the set of data will be 16 and 5.87.
Then the correct option is A.
More about the standard deviation link is given below.
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Answer:
Total time taken by walking, running and cycling = 22 minutes.
Step-by-step explanation:
Let the speed of walking = x
As given,
The distance of walking = 1
Now,
As
⇒ Time traveled by walking =
Now,
Given that - He runs twice as fast as he walks
⇒Speed of running = 2x
Also given distance traveled by running = 1
Time traveled by running =
Now,
Given that - he cycles one and a half times as fast as he runs.
⇒Speed of cycling = (2x) = 3x
Also given distance traveled by cycling = 1
Time traveled by cycling =
Now,
Total time traveled = Time traveled by walking + running + cycling
= +
+
=
If he cycled the three mile , then total time taken = +
+
= x
Given,
He takes ten minutes longer than he would do if he cycled the three miles
⇒x + 10 =
⇒
⇒
⇒x = = 12
⇒x = 12
∴ we get
Total time traveled by walking + running + cycling = min
The steps in the patterns A and B form a sequence
The attached diagram represents dots in patterns A and B
<h3>How to draw the diagrams</h3>For pattern A, we have:
Step 2 = 10 dots
Increment of 3 dots in each step
This means that:
Step 0 = 4 dots
Step 1 = 7 dots
Step 2 = 10 dots
Step 3 = 13 dots
For pattern A, we have the following rule
When n = 0 to 3, we have:
Step 0 = 1 dot
Step 1 = 3 dots
Step 2 = 9 dots
Step 3 = 19 dots
Next, we draw the diagrams of both patterns (see attachment)
Read more about patterns at:
