Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean, 
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.
1 triangle: 2*6 + 1*5
2 triangles: 2*6 + 2*5
3 triangles: 2*6 + 3*5
So for n triangles: p = 2*6 + n*5 = 12 + 5n
Only 3 is needed
Step-by-step explanation:
It's a linear function with a slope 0.
It's a horizontal line (look at the picture).
Complete question :
A 48 inch board in to be cut into three pieces so that the second piece is twice as long as the first, and the third piece in 3 times as long as the first. If x represents the length of the first, find the lengths of all three
Answer:
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
Step-by-step explanation:
Let :
Length of first piece = x
Length of second = 2x
Length of third = 3x
The total lengtb of board = 48 inches
Hence,
First + second + third = 48
x + 2x + 3x = 48
6x = 48
x = 48 / 6
x = 8
Length of first piece = x = 8
Length of second = 2x = 8*2 = 16
Length of third = 3x = 8 * 3 = 24
