Answer:

Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:

We have:

Substitute:
<em>cross multiply</em>

Use the Pythagorean theorem:

Substitute:

Answer:
The true statement about Kendra's sample is:
b) Kendra's samples are precise but not accurate.
Step-by-step explanation:
a) Data and Calculations:
Average age of dogs currently alive = 4.8 years
Average ages of dogs in Kendra's sample
Week Average Age (in years)
1 3.7
2 3.8
3 4.2
4 4.1
5 3.9
6 3.9
7 4.0
Total 27.6
Mean = 3.9 (27.6/7)
b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine. While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years. On the other hand, precision refers to how close Kendra's sample measurements are to each other. With a mean of 3.9 years, the sample measurements are very close to each other. Therefore, we can conclude that "Kendra's samples are precise but not accurate."
A.
After h hours Cary makes 5h dollars so after paying mom has
5h - 6
dollars left.
B.
When h=3 then 5h-6=5(3)-6=15-6=9
Cary will have $9 left
The distance, s = 40t₁ where t₁ is the time to complete the outward journey.
The same distance = vt₂ where t₂ is the time to complete the return journey at speed v.
For the whole journey, 2s=60(t₁+t₂). Therefore s=30(t₁+t₂)=40t₁=vt₂.
30t₁+30t₂=40t₁, 10t₁=30t₂, t₁=3t₂, so s=120t₂=vt₂ and v=120kph.
Answer:
The correct option is C. 9 houses could 18 men paint in 6 hours.
Step by step explanation:
Let the number of houses paint by 18 men in 6 hours be x.
One man can paint one house in 12 hours.
The part of house painted by a man in 1 hour is
.
The part of house painted by a man in 6 hour is

The total number of men is 18. Therefore the number of houses painted by 18 men is

Therefore correct option is C. 9 houses could 18 men paint in 6 hours.