Formula for distance between two points:
d = √( (x₂ -x₁)² + (y₂ - y₁)²)
x₁ = -2, y₁ = 4, x₂ = 0, y₂ = -6
d = √( (x₂ -x₁)² + (y₂ - y₁)²)
d = √( (0 - -2)² + (-6 - 4)²)
d = √( (0 + 2)² + (-10)²)
d = √( (2)² + (-10)²)
d = √(4 + 100)
d = √104 Use a calculator
d ≈ 10.1980
d ≈ 10.20 units to the nearest hundredth.
$115,850 (70%*$165,500) is the cost for the land and $49,650 (30%*$165,500) represents the cost for the building. The total cost for the land and the building is represented by the equation $165,500 (150,000 + [7%*$150,000] + $5000). The company must gain (70% and 30%) by dividing each of the values by the total value (($87,500+$35,000)/($87,500+$35,000+$52,500)for land; $52,500/($87,500+$35,000+$52,500) for building.
Answer:
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
Step-by-step explanation:
Given that, the rate R(t) at which cars enter the highway is given the formula
The average rate of car enter the highway during first half hour of rush hour is the average value of R(t) from t=0 to t=30.
![=[100(t-0.0001\frac{t^3}{3})]_0^{30}](https://tex.z-dn.net/?f=%3D%5B100%28t-0.0001%5Cfrac%7Bt%5E3%7D%7B3%7D%29%5D_0%5E%7B30%7D)
![=100[(30-0.0001\frac{30^3}{3})-(0-0.0001\frac{0^3}{3})]](https://tex.z-dn.net/?f=%3D100%5B%2830-0.0001%5Cfrac%7B30%5E3%7D%7B3%7D%29-%280-0.0001%5Cfrac%7B0%5E3%7D%7B3%7D%29%5D)
=2901
The average rate of car is 
=97
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
The probability that all three people surveyed is an independent probability and the calculated probability is 0.1225
The probability a surveyed driver is worried = 35%
- Number of people surveyed = 3
Since the probability of being worried is independent ;
- Probability = P(A) × P(B) × P(C)
The probability that all 3 surveyed are worried :
- P(worried) × P(worried) × P(worried)
- (0.35 × 0.35 × 0.35) = 0.1225
Therefore, the probability that all three people surveyed are worried is : 0.1225
Learn more : brainly.com/question/18153040
Answer: 7
Step-by-step explanation:
