Answer:
1. 12
2. the prism with a length of 7 1/2 will have a shorter width, with a width of 6
Answer: 13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
The 29.2 ounce bottle is better
Step-by-step explanation:
13.5 ounce bottle for $2.19
a 29.2 ounce bottle for $5.37
find the ratios
13.5/2.19 = $6.16 per unit
29.2/5.37 = $5.44 per unit
Answer:
area of a circle πr^2
r = 10/2 r = 5
π5^2 = 78.5
area of the square length X width
7 x 7 = 49
78.5 - 49 = 29.5
shaded region = 29.5 square cm
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
15/x=75/100
15/x=3/4
times 4x both sides
4*15=3x
60=3x
divide both sides by 3
20=x