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:
0.2
Step-by-step explanation:
total = 1.0
strawberry = 0.8
1-0.8 =0.2
It would half 8 hours to get 4 hours and 20 dogs
Next add the 4 hours and 20 dogs to the 8 hours and 40 dogs so
4+8=12 hours
20+40=60 dogs
So Ken can walk 60 dogs in 12 hours
4) Here both smaller and larger triangle is "isosceles" in nature.
So, sum would be 180 with two equal sides.
66 + BDE + BED = 180
2 BDE = 180 - 66
BDE = 114 / 2
BDE = 57
<span>In short, Every four angles would be equal to 57
</span>5) A) 7
It is because it must be smaller than the longest side which is equal to 8
6) D) Yes, Because ∠C is congruent to ∠BED
Hope this helps!