Answer:
The equation of the parabola is (x-2)^2 = 48(y-5)
Step-by-step explanation:
Mathematically, we can obtain the equation of a parabola from its focal point and the directrix given.
Firstly, we need to find the distance between the director and the vertex
That would be ;
|-7-(5)| = 12
We should kindly note that the directrix is below the vertex and thus it is a right-side parabola with a positive value of p = 12
Thus, the equation needed would be;
(x-h)^2 = 4p(y-k)
From the question, h = 2
p = 12 ( calculated) and k = 5
So the equation would be;
(x-2)^2 = 4(12)(y-5)
= (x-2)^2 = 48(y-5)
3 out of 10......3/10 = 0.3 = 30%
5 out of 20 .....5/20 = 0.25 = 25%
higher score is 3 out of 10
Answer:
93.5 in^2
Step-by-step explanation:
we know that
Jodi is cutting out pieces of paper that measure inches by inches
The area of each piece that jodi is cutting out is equal to the area of a rectangle
Answer:
0.99945
Step-by-step explanation:
The probability that a bridge hand of 13 cards would contain at least one card that is ten or higher would be the inverse of the probability that all of the 13 cards would not contain any 10 or higher, in other words all of them are 9 or lower. From 2 to 9 we have 8 cards of 4 suits like that, so a total of 32 out of 52 cards
The probability of this to happen is
In the first draw, chance are 32/52
In the 2nd draw, chance are 31/51
In the 3rd draw, chance are 30/50
...
In the 13th draw, chance are 20/40
So the total probability is
So the probability that a randomly selected bridge hand is a Yarborough is
1 - 0.000547 = 0.99945
Answer:
A. 10.4 mph
Step-by-step explanation:
26÷2.5=10.4
Double checking your answer:
If she does 10.4 miles in an hour, she can get 20.8 in two hours
then you add half of how much she can go in an hour which is 5.2 (10.4÷2)
you add it together, and you will get 26 miles in total
(20.8+5.2=26)