Answer:
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
Step-by-step explanation:
Given:
Patients cured = 30% = 0.30
Number of patients (n) = 18
Probability cured of cervical cancer = P(X≤1)
Probability cured of cervical cancer = P(X=0) + P(X=1)
Probability cured of cervical cancer = 18C0 (0.30)⁰(0.70)¹⁸ + 18C1(0.30)(0.70)¹⁷
The probability that a child with a speaking part is chosen randomly would be 2:5.
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: " A theatre has the capacity to seat people across two levels, the Circle, and the stalls. The ratio of the number of seats in the circle to a number of seats in the stalls is 2:5. Last Friday, the audience occupied all the 528 seats in the circle and 
of the seats in the stalls. What is the percentage of occupancy of the theatre last Friday?"</h3>
Let be "s" the total number of seats in the Stalls.
The problem says that the ratio of the number of seats in the Circle to the number of seats in the Stalls is 
.
Since the number of seats that were occupied last Friday was 528 seats, we can set up the following proportion:
Solving for "s", we get:
So the sum of the number of seats in the Circle and the number of seats in the Stalls, is:
We know that of the seats in the Stalls were occupied. Then, the number of seat in the Stalls that were occupied is:
Therefore, the total number of seats that were occupied las Friday is:
Knowing this, we can set up the following proportion, where "p" is the the percentage of occupancy of the theatre last Friday:
Solving for "p", we get:
A = a^2.....where " a " is the length of one side
A = 79
79 = a^2...take sqrt of both sides, eliminating the ^2
sqrt 79 = a
8.89 = a
so the length of one side is approximately 8.89 ft <==
Answer:
There were 3 adults
Step-by-step explanation:
Step 1: Derive the first expression
a+c=10...equation 1
where;
a=number of adults
c=number of children
And total number of people=10
Step 2: Derive the second expression;
Total cost of tickets=(price per child ticket×number of children)+(price per adult ticket×number of adults)
where;
Total cost of tickets=$186.50
price per child ticket=$15.95
price per adult ticket=$24.95
number of children=c
number of adults=a
replacing;
(15.95×c)+(24.95×a)=186.5
24.95 a+15.95 c=186.5....equation 2
Step 3: Combine equation 1 and 2 and solve simultaneously
24.95 a+15.95 c=186.5
-
24.95(a+c=10)
(24.95 a-24.95 a)+(15.95 c-24.95 c)=186.5-(24.95×10)
-9 c=-63
c=-63/-9
c=7
replace the value for c in equation 1
a+c=10
a+7=10
a=10-7
a=3
There were 3 adults
