Answer: The price of meal before the tip = $34.
Step-by-step explanation:
Given : The percentage of tip = 22% = 0.22 ( we divide a percentage by 100 to convert it into decimal)
Total amount paid ( including tip) = $41.48
Formula for Total bill = Price of meal + Tip amount , where Tip amount= 22% of Price of meal.
Let x be the price of meal, then
Total bill =x + 0.22 x (x )
⇒ $41.48= x(1+0.22) [ By distributive property]
⇒ $41.48 = x (1.22)
⇒ x= ($41.48) ÷ 1.22
⇒ x= 34
Hence, the price of your meal before you applied the tip = $34.
Answer:
P(B|A)=0.25 , P(A|B) =0.5
Step-by-step explanation:
The question provides the following data:
P(A)= 0.8
P(B)= 0.4
P(A∩B) = 0.2
Since the question does not mention which of the conditional probabilities need to be found out, I will show the working to calculate both of them.
To calculate the probability that event B will occur given that A has already occurred (P(B|A) is read as the probability of event B given A) can be calculated as:
P(B|A) = P(A∩B)/P(A)
= (0.2) / (0.8)
P(B|A)=0.25
To calculate the probability that event A will occur given that B has already occurred (P(A|B) is read as the probability of event A given B) can be calculated as:
P(A|B) = P(A∩B)/P(B)
= (0.2)/(0.4)
P(A|B) =0.5
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 8) and (x₂, y₂ ) = (- 4, 0)
m =
=
= 2
Answer:
23
Step-by-step explanation:
The sum of any two sides of a triangle has to be greater than the other side
Only 23 meets this criteria
2/8
there’s 8 total pies and among all of them, there’s only 2 large pies
so 2 large pies out of eight pies