Answer:
hey!
Your answer is ...
-48 , -26 , -5 , 4 , `12
Step-by-step explanation:
HOPE THIS HELPED!
:)
Answer:
The proportion is true.
We are given the following proportion and we are to determine whether it is a true proportion or not:
Finding the value of y:
So now we have
Checking if it is a true proportion:
Since the simplified fractions are equivalent, therefore the proportion is true.
Step-by-step explanation:
Given:
Ten people:
5 people are 30 years old
3 people are 32 years old
1 person is 31 years old
1 person is 65 years old ⇒Outlier. No included in the next computation.
A.) Mean Age of the remaining 9 people.
Mean = (5(30) + 3(32) + 31) / 9
= (150 + 96 + 31)/9
= 277/9
= 30.77 or 30.80 is the mean age to the nearest tenth.
We need to get the variance before we can solve the standard deviation.
Variance:
1 ⇒ 30 - 30.80 = -0.80 ⇒ -0.80² = 0.64
2 ⇒ 30 - 30.80 = -0.80 ⇒ -0.80² = 0.64
3 ⇒ 30 - 30.80 = -0.80 ⇒ -0.80² = 0.64
4 ⇒ 30 - 30.80 = -0.80 ⇒ -0.80² = 0.64
5 ⇒ 30 - 30.80 = -0.80 ⇒ -0.80² = 0.64
6 ⇒ 31 - 30.80 = 0.20 ⇒ 0.20² = 0.04
7 ⇒ 32 - 30.80 = 1.20 ⇒ 1.20² = 1.44
8 ⇒ 32 - 30.80 = 1.20 ⇒ 1.20² = 1.44
9 ⇒ 32 - 30.80 = 1.20 ⇒ 1.20² =<u> 1.44</u>
sum: 7.56
divide by: <u> 9</u>
quotient: 0.84 Variance
Standard Deviation is the square root of the Variance.
Standard Deviation = √0.84 = 0.92
Answer:
Step-by-step explanation:
Do you mean multiply?
- 8/15 * 20/24
- 8/15 * 5/6
5 and 15 have a common divisor -- 5
- 8/3 * 1 / 6
8 and 6 can be divided by 2.
-4/3 * 1/3
-4 / 9
====================
You could do the same thing without cancellation.
-8/15 * 20/24 = -160 / 360
Now you can divide by common factors. Start by dividing top and bottom by 10
- 16 / 36 Now divide top and bottom by 4
- 4 / 9
the answer is 52°
use the laws of trig
its a right triangle, so cotan 9/7 is 52°