Part 1:
You know the height of a telephone pole and the distance the support cable is from the base of the telephone pole, but you don't know the length of the cable. The cable needs to be replaced so you need to calculate the length.
What is the length of the cable?
Part 2 and Part 3: See the attached picture:
Step-by-step explanation:
Solution,
No. of people who participated= 20
No. of people who didn't participated= 15
Total number of people= 20+15= 35
Now,
Percentage of people who didn't participated
=No. of people who didn't participated/Total number of people×100%
=15/35×100%
=42.86%
Again,
Percentage of people who participated
participated=No. of people who participated/Total number of people×100%
=20/35×100%
=57.14%
Answer: 78
Step-by-step explanation:
First, we want to find the area of the outer triangles. Remember that the equation to finding the area of a triangle is (l x h) x 1/2. So, let’s substitute the values into the equation. It’ll be (6 x 7) x 1/2. Let’s solve! 6 x 7 = 42. Then, 42 x 1/2 = 21. But let’s not forget that we only found the area of one triangle. We still need to find the area of the other outer triangles. So, to do this, we take 21 and multiply by 3 since the other outer triangles have the same dimensions. We would get 63 as our total area for the outer triangles.
Next, we need to find the area for the inner triangle. We will use the same equation: (l x h) x 1/2. Let’s substitute! (6 x 5) x 1/2 will be our final equation. Now, let’s solve. 6 x 5 = 30. 30 x 1/2 = 15. So, as a process of elimination, our area for the inner triangle is 15.
Finally, we need to add the total areas we found together. Our total areas were 63 and 15. Let’s put this into an equation: 63 + 15 = ?. So, 63 + 15 = 78. So, after a long process, 15 is our answer!
Hope this helped!
Answer:
-7
Step-by-step explanation:
Answer:
a) 15.579
b) 39.019
Step-by-step explanation:
a) For the top 2% the z-value from the z table
z = 2.054
thus,
z =
here
X = 132
Mean = 100
thus,
2.054 =
or
σ = 15.579
b) Using tables, we get for Z = 0.89 the value of 0.8133 and for Z= 0.90 the value of 0.8159
By interpolation, values for 0.815 and we get Z=0.897
thus,
z =
here
X = 220
Mean = 185
thus,
0.897 =
or
σ = 39.019