There are infinite answers to this question, but here are some examples:
0.11111111
0.201
0.1552332
0.12
0.15
0.22112
Answer:
18.28m
Step-by-step explanation:
Answer:
23.08 < µ < 36.9
Step-by-step explanation:
First we need to find the sample mean and standard deviation.
Sample mean: Add up the values and divide by the total amount of values...
(26.2 + 17.8 + 23.1 + 36.0 + 31.1 + 43.2 + 36.4 + 26.1)/8 = 239.9/8 = 29.99
The sample standard deviation is calculated on the first attached photo
s = 8.27
The confidence interval is constructed in the second attached photo
Answers:
x = 5/2 = 2.5
y = 10
============================================
Explanation:
Focus on the smallest triangle and the medium sized triangle. We can form the proportion 2/4 = x/5 by dividing the corresponding sides together.
Solving for x leads us to the following
2/4 = x/5
2*5 = 4*x
10 = 4x
4x = 10
x = 10/4
x = 5/2
x = 2.5
-----------------
Now focus on the medium sized triangle and the largest triangle. We'll use the same idea as before
4/8 = 5/y
4y = 8*5
4y = 40
y = 40/4
y = 10
Note how each horizontal line is a midsegment, which means that jumping from y = 10 to 5 is us taking half of that value. Then going from 5 to x = 5/2 = 2.5 is another step of cutting in half.
Answer:
At (-2,0) gradient is -4 ; At (2,0) gradient is 4
Step-by-step explanation:
For this problem, we simply need to take the derivative of the function and evaluate when y = 0 (when crossing the x-axis).
y = x^2 - 4
y' = 2x
The function y = x^2 - 4 cross the x-axis when:
y = x^2 - 4
0 = x^2 - 4
4 = x^2
2 +/- = x
Hence, this curve crosses the x-axis twice, once at (-2,0) and again at (2,0).
The gradient at these points are as follows:
y' = 2(-2) = -4
y' = 2(2) = 4
Cheers.