Answer:
5.14 mi/h
Step-by-step explanation:
To find the average speed, we simply find the total distance traveled by Tom and divide that by the total time the entire journey took him.
Average speed = (total distance traveled) / (total time taken)
TOTAL DISTANCE TRAVELED
He traveled 3 miles to and 3 miles fro. Hence:
3 + 3 = 6 miles
TOTAL TIME TAKEN
He spent ½ hr to go and ⅔ hr to return back. Hence:
½ + ⅔ = 7/6 hr
Therefore, the average speed is:
v = 6 / (7/6)
v = 36 / 7 = 5.14 mi/h
Tom's average speed was 5.14 mi/h.
Answer:
Expected pay winning $50= $0.585
Expected pay winning $25= $2.36
Expected pay for anything else= $-4.35
Expected returns=3.59
Expected value for one play= $(-1.41)
Do not play this game because you will lose $1.41
Step-by-step explanation:
Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013
Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118
Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869
Expected pay($50)= 0.013$(50-5)= $ 0.585
Expected pay($25)= 0.118(25-5)$ = $2.36
Expected pay for anything else= 0.869(0-5)$ =$(-4.347)
Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41
c) Do not play the game.
Answer:
Step-by-step explanation:
Answer:
0.63
Step-by-step explanation:
To get the relative frequency of students with red hair, we need to find the relative frequency of students with red hair from the students with gray eyes.
Since we already know that the total number of students with gray eyes is 35 and the number of red hair students with gray eye is 22
The formula we will use to calculate the relative frequency will be
The relative frequency of students with red hair = Total students of red hair with gray eyes divide by total number of gray eye students
22 ÷ 35 = 0.628 ≅ 0.63
Answer:
15%
Step-by-step explanation:
vat amount
= 1380 - 1200
=180
finding the rate of vat
= 1380/1200 *100
= 115%
NB : the 115% shows that 1200 8 115% = 1380 , this give total amount including vat , we only want vat hence we have to deduct the 100% which indicates the amount of article)
hence 115 - 100 = <u>15%</u>
15% * 1200= 180
