Answer:
0.903264
Step-by-step explanation:
Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.
Let A' = the event that A fails, B' = B fails and C'= C fails.
Probability that no circuit board fails = Prob (A'B'C')
= P(A')P(B')P(C') (since A,B, C are independent, their complements are independent
= (1-0.03)(1-0.04)(1-0.03)
= 0.903264
Answer:
The amount of mango juice needed is 8 quarts
Step-by-step explanation:
To calculate the amount of mango juice needed, we will need to know the amount used the previous week.
Cranberry juice to Mango juice is 3:2 with cranberry used being 4 quarts. Let the quarts of Mango juice used be x
This means;
3/2 = 4/x
1.5 = 4/x
1.5x = 4
x = 4/1.5 quarts
Since they are making 3 times as much punch, the amount of mango juice needed will be 4/1.5 * 3 = 4 * 2 = 8 quarts
V: volume of a cone = (πr²h)/3 = 104.67 in³
π: pi = 3.14
r: radius = 1/2 diameter = [unknown]
h: height = 4 in
V = (πr²h)/3
V = r²(πh)/3
r² = (3V)/(πh)
r² = (3 ×104.67)/(3.14 × 4)
r² = 25
r = √25
r = 5 (but remember the radius is only 1/2 the diameter)
thus . . .
<u><em>d = 10 in </em></u>
X= number of adult tickets
y=number of child tickets.
we can suggest this system of equations:
x+y=118 ⇒x=118-y
7.5x+3y=696
we can solve this system of equations by substitution method:
7.5(118-y)+3y=696
885-7.5y+3y=696
-4.5y=-189
y=-189/-4.5
y=42
x=118-y
x=118-42
x=76
Answer: the number of adult tickets sold was 76.
