Answer:
Step-by-step explanation: This is the quadratic function:
h(x)=ax²+bx+c
We have two points:
(1,58)
(2,112)
Now, we calculate this quadratic funtion.
we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0
(1,58)
a(1)²+b(1)=58
a+b=58 (1)
(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)
With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2
-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60
The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x
Now find the height, in feet, of the rock after 10 seconds in the air.
h(10)=-2(10)²+60(10)
h(10)=-200+600=400
Answer: 400 ft.
Answer:
The probability is 5/36
Step-by-step explanation:
The total number of marbles is 2 + 4 + 1 + 5 = 12 marbles
The probability of randomly drawing a green marble would be
number of green marble/total number of marbles = 4/12 = 1/3
Now since we are replacing the total number of marbles stays the same
so, the probability of drawing a yellow marble now will be ;
number of yellow marbles/total number of marbles = 5/12
So the total probability we are having here would be; 1/3 * 5/12 = 5/36
Answer:
B&C: tan F=0.0833 & tan H=12.0000
Step-by-step explanation:
The tangent relationship is always opposite/adjacent.
When F is the reference angle, side GH (1) is the opposite side and side FG (12) is the adjacent.
1/12 is 0.0833
When H is the reference angle, FG (12) is the opposite and GH (1) is the adjacent.
12/1 is 12.
Answer:
29 times
Step-by-step explanation:
We can find this answer by dividing 87 by 3
87/3 = 29
We can prove this by multiplying 29 times 3 which gives us 87
Answer:
0.625
Step-by-step explanation:
Given that {A1, A2} be a partition of a sample space and let B be any event. State and prove the Law of Total Probability as it applies to the partition {A1, A2} and the event B.
Since A1 and A2 are mutually exclusive and exhaustive, we can say
b) P(B) = P(A1B)+P(A2B)
Selecting any one coin is having probability 0.50. and A1, A2 are events that the coins show heads.
c) Using Bayes theorem
conditional probability that it wasthe biased coin
=
d) Given that the chosen coin flips tails,the conditional probability that it was the biased coin=
