$126 / 6 = 21
$21 = 1 theater ticket
$21 x 14 = $294
It would cost Hope $294 for 14 theater tickets
Answer:
it was 5.45$ per gallon
Step-by-step explanation:
hope i helped
Probability is the likelihood or chance that an event will occur. The probability of P(AUB) is 1/2
<h3>Conditional probability</h3>
Probability is the likelihood or chance that an event will occur. Given the following parameters
If P(A) = 1/6
P(B) = 5/12
P(A\B) + P(B\A) = 7/10
Required
p(AUB)
Recall that:
P(A|B)=P(AnB)/P(B)
P(B|A) = P(BnA)/P(A)
P(AnB)/P(B) + P(BnA)/P(A) = 7/10
12/5P(AnB) + 6P(BnA) = 7/10
42/5P(BnA) = 7/10
6/5P(BnA) = 1/10
6P(BnA) = 1/2
P(BnA) = 1/12
<u>Determine P(AUB)</u>
P(AUB) = P(A) + P(B) - P(AnB)
P(AUB) = 1/6 + 5/12 - 1/12
P(AUB) = 1/6 + 4/12
P(AUB) = 2+4/12
P(AUB) = 1/2
Hence the probability of P(AUB) is 1/2
Learn more on probability here: brainly.com/question/24756209
"<span>The sum of the squares of the digits is 26"
</span>10t + u = 26 ---->(1)
<span>"If the number is decreased by the number with its digits reversed, the result is 36"
u - 10t =36 -----> (2)
By subtracting the equation we can find t.
</span> u+10t = 26)<span>
-(u-10t=36)</span>
______________
0u +20t = 26 -36
---> 20t = -10
t= -10/20
t= -1/2
Inserting value t in (1)
10t + u = 26
10(-1/2) + u= 26
-5+u=26
u= 26+5 = 31
<span>
Using u and t in the original expression 10t+u express a positive number
10t+u
= 10(-1/2) +u
= -5 + 31
= 26
----> Proves this statement is true
</span>"The sum of the squares of the digits is 26"
10t + u = 26 <span>
</span>
