Answer:
What are in the boxes?
Step-by-step explanation:
So 2680 divided by 100 is 26.80 which is 1%, times 26.80 by 5 to get 5% = £134, £2680+134= £2814
Answer:
275 is the amount SPENT per month for rent. Since you are decreasing that amount from your savings, it is represented with a negative sign.
The formula is: y = mx + b where
- m is the rate --> -275 per month
- b is the fixed rate --> 3500 savings
If you think about it logically - You have 3500 and spend $275 per month
1st month: 3500 - 275 = 3225
2nd month: 3225 - 275 = 2950
3rd month: 2950 - 275 = 2675
4th month: 2675 - 275 = 2400
5th month: 2400 - 275 = 2125
6th month: 2125 - 275 = 1850
It is easier to write it as an equation where x is the number of months and y is the balance for that month.
y = -275x + 3500
To check if the point (6, 1850) is on the line, input x = 6 and y = 1850
y = -275x + 3500
1850 = -275(6) + 3500
1850 = -1650 + 3500
1850 = 1850
Since it makes a true statement, (6, 1850) is a point on the line.
Answer:
a) P(1) = 0.1637
b) 
c) E(x) = 0.2
Step-by-step explanation:
If X follows a poisson distribution, the probability that a disk has exactly x missing pulses is:

Where m is the mean and it is equal to the value of lambda. So, replacing the value of m by 0.2, we get that the probability that a disk has exactly one missing pulse is equal to:

Additionally, the probability that a disk has at least two missing pulses can be calculated as:

Where
.
Then,
and
are calculated as:

Finally, In the poisson distribution, E(x) is equal to lambda. So E(x) = 0.2
Answer:
He will be 2.6 Miles away from the canyon.
Step-by-step explanation:
4.2-1.6=2.6