<span>10-4(2.4 • 3.5)2 + 0.12 = </span>-57.08
You were on the right track. Here are two ways to go about it.
• By definition of conditional probability,
Pr[A | B] = Pr[A and B] / Pr[B]
Out of the total 100 participants in the survey, there are 18 people that both have a positive attitude and are over 35, so
Pr[positive and over 35] = 18/100
Out of the 100 pariticipants, 40 are over 35, so
Pr[over 35] = 40/100
Then the conditional probability you want is (18/100) / (40/100) = 18/40 = 9/20.
• There are 40 people over 35 in the survey. You want the probability that someone randomly chosen from this group has a positive attitude, of which there are 18. Hence the probability is 18/40 = 9/20.
The diagonals of a rhombus intersect each other at the midpoints and they are also perpendicular . So at the smallest angle we have a right angled triangle with legs 6 and 3.5. Also this smallest angle (x) is bisected by the diagonal.
so we have:-
tan (x/2) = 3.5 / 6
x/2 = 30.256 degrees
x = 60.51 degrees to nearest hundderth
Answer:
4 hours
Step-by-step explanation:
The distances and average speeds for the first two days driven are show below.
Step 1
We calculate the total distance covered in the first two days
First day: 6 hours at an average speed of 60 miles per hour
Hence:
1 hour = 60 miles
6 hours = x
x = 60 × 6
x = 360 miles
Second day: 4 hours at an average speed of 65 miles per hour
Hence:
1 hour = 65 miles
4 hours = x
x = 65 × 4
x = 260 miles
The distance covered for the first two days =
(360 + 260)miles
= 620 miles
Step 2
The total distance for the entire trip = 820 miles
Hence, the distance left to cover on the third day = (820 - 620)miles
= 200 miles
In the question, we are told:
If the average speed on the third day is 50 miles per hour,
The number of hours it will take for them to reach their family friends home is calculated using the formula
Time = Distance/Speed
Time = 200 miles/50 miles per hour
Time = 4 hours
