First walk=descend of 1024 feet in 17 minutes
second walk=descend of 500 feet in 7 minutes
so in total she descended 1024+500=1524 feet in 7+17=24 minutes
as an average rate this equals 1524/24=63.5 feet/minute descended
or an average rate of -63.5 feet/minute in altitude (note the minus)
<span>D) Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem.</span>
<em> 24 mph</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>Vm = 21mph</em>
<em>V1 = 18mph</em>
<em>V2 = ?</em>
<em>Vm = (V₁ + V₂)/2</em>
<em>2Vm = V₁ + V₂</em>
<em>V₂ = 2Vm - V₁</em>
<em>replace Vm ; V₁</em>
<em>V₂ = 2×21mph - 18mph</em>
<em>= 42mph - 18mph</em>
<em>= 24 mph</em>
<em>Good luck !</em>
The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
A = 0.5aP
where a is apothem and P is perimeter
Substituting,
A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².
Answer:
99% Confidence interval: (0.185,0.375)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 150
Number of cars that have faulty catalytic converters, x = 42
99% Confidence interval:
Putting the values, we get:
The 99% confidence interval for the true proportion of new cars with faulty catalytic converters is (0.185,0.375)
