Answer:
18; 1h30m; 15
Step-by-step explanation:
<u>Part A:</u>
James traveled 45km, you can tell because that is where he stops.
It took him from 2pm to 4:30pm.
You can find this info on the x axis.
That means 45km took him 2.5 hours.
45/2.5=18
James travels 18km per hour.
<u>Part B:</u>
The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.
His stop is from 4:30pm to 5pm.
This means that his stop is 1 hour and 30 minutes.
<u>Part C:</u>
James had to travel 45km to get back home. (45-0)
It took him from 5pm to 8pm.
This means that on his journey back, 45km took him 3 hours.
45/3=15
James travels 15km per hour.
Answer:
True
Step-by-step explanation:
Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.
Answer:
v = 25.6
Step-by-step explanation:
1. Multiply both sides of the equation by 4.
(6.4)(4) = 25.6
Answer:
Use the distance formula to determine the distance between the two points.
Distance
=
√(x2−x1)^2 + (y2−y1)^2
Substitute the actual values of the points into the distance formula.
√ ( (−6) − 0)^2 +( (−3) − 4)^2
Subtract 0 from −6
√(−6)^2 + ( ( −3 ) −4 )^2
Raise −6 to the power of 2
√36 + ( ( −3 ) −4 )^2
Subtract 4 from −3
√36 + ( −7 )^2
Raise −7 to the power of 2
√ 36 + 49
Add 36 and 49
√85
The rolls of the dice are independent, i.e. the outcome of the second die doesn't depend in any way on the outcome of the first die.
In cases like this, the probability of two events happening one after the other is the multiplication of the probabilities of the two events.
So, the probability of rolling two 6s is the multiplication of the probabilities of rolling a six with the first die, and another six with the second:

Similarly,

Actually, you can see that the probability of rolling any ordered couple is always 1/36, since the probability of rolling any number on both dice is 1/6:
