Answer:
44°
Step-by-step explanation:
From sin rule:
a / sin A = b / sin B = c / Sin C
3.6 / sin b = 5.1 / sin 100
Cross multiply :
5.1 * sinb = 3.6 * sin 100
Sin b = 3.5453079 / 5.1
Sin b = 0.6951584
b = sin^-1(0.6951584)
b = 44.039
b = 44°
Answer:
$84
Step-by-step explanation:
Find how many miles she traveled by multiplying 80 and 2.
80 × 2 = 160 miles
Next find out how much she gets paid for her mileage by multiply $0.60 and 160.
160 × $0.60 = $96.00
Now find out how much she spent on gas. She gets 40 miles per gallon so solve how many gallons she used by dividing 160 by 40.
160 ÷ 40 = 4 gallons
Then multiply 4 gallons by $3.00
4 × 3 = $12
To find the net rate of pay subtract 96 and 12
$96 - $12 = $84
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:
Yes, the two events are independent because P(NF|PB)=P(NF).
Step-by-step explanation:
$54.91
6.5% of 58.73.
Then minus that amount from 58.73
Mark brainliest please
