Answer:
k = -2
Step-by-step explanation:
f(x) = (x − h)² + k
(h, k) is the (x, y) coordinate of the vertex
For a vertex of (4, -2)
h = 4
k = -2
Answer:
2344.79686
Step-by-step explanation:
The fifth place to the right of the decimal point is the hundred-thousandth spot. Since the number following is 7, we round up, thus resulting in 2344.79686.
Answer:
The intersection of the sets A, B, and C is Bird.
Set B contains Fish, Lizard, Turtle, Bird, and Dog.
Answer:
The train travels at 120 miles per hour.
Step-by-step explanation:
All we have to do is divide 540 by 4.5
540 ÷ 4.5 = 120
So the answer is 120 miles per hour.
Hope this helps! :)
Answer:
The sketch is provided in attached file.
0.0228
Step-by-step explanation:
The sketch is made by taking center at µ=80 and the desired probability of the mentioned area is also demonstrates.
The probability randomly selecting a score greater than 100 from this distribution can be calculated as
P(X>100)=P((X-µ)/σ > (100-80)/10)
P(X>100)=P(z>2)
P(X>100)=P(0<z<∞)-P(0<z<2)
Using normal table the probability corresponds to z-score=2 is 0.0228 and the area on the right side of normal curve is 0.5. So,
P(X>100)=0.5-0.4772=0.0228
The probability randomly selecting a score greater than 100 is 2.28%.