Answer:
p(4 successes) ≈ 7.7%
Step-by-step explanation:
p(k successes in n trials) = C(n,k)·p^k·(1-p)^(n-k)
You have n=5, k=4, p=0.4, so the probability is ...
p(4 successes) = C(5,4)·(0.4)^4·(1 -0.4)^1 = 5·0.4^4·0.6 = 0.0768
p(4 successes) ≈ 7.7%
Answer:
B. 
Step-by-step explanation:
The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.
This can be represented as:
Where,
h = the length of the altitude,
x and y are the lengths of the 2 segments formed.
Therefore, the length of the altitude = 
Answer:
The number of child tickets is 53
And adult tickets sold out is 93
Step-by-step explanation:
Let the child tickets be x
And the adult tickets be y
x+y = 146 - - - - - - - 1
x= 146-y
5.3x + 9.3y= 1145.80 - - - - - 2
We can substitute x= 146-y in equation 2
5.3(146-y) + 9.3y= 1145.80 - -- 2
773.8 - 5.3y +9.3y = 1145.80
773.8+4y= 1145.80
4y= 1145.80-773.8
4y= 372
y= 372/4
y= 93
We can now substitute y= 93 in equation 1 to find x
x+ 93= 146
x= 146-93
x= 53
Hence
The number of child tickets is 53
And adult tickets sold out is 93
"When the radicand equals zero" is the one among the following choices given in the question that you can tell when <span>a quadratic equation has two identical, rational solutions. The correct option among all the options that are given in the question is the fourth option or option "d". I hope the answer has helped you.</span>
Answer:
h(x) = 3(x - 5)^2 + 6.
Step-by-step explanation:
g(x) = 3x^2 + 8
Shifting 5 units to the right gives:
3(x - 5)^2 + 8
Now 2 units down :
3(x - 5)^2 + 8 - 2
= 3(x - 5)^2 + 6.
