Answer:
y
Step-by-step explanation:
Answer:
One number is 561
The other number is 23.6854
Step-by-step explanation:
x = y^2 One number = the square of another
x + y^2 = 1122 The sum of the two numbers is 1122
Substitute y^2 in for x on the second equation.
y^2 + y^2 = 1122 Combine like terms on the left
2y^2 = 1122 Divide by 2
y^2 = 1122/2
y^2 = 561 Take the square root of both sides.
y = 23.6854
x = y^2
x = 561
y^2 = 561
Answer:
(a)
,
,
,
,
,
,
.
(b)
,
,
,
,
,
,
,
.
Step-by-step explanation:
In this exercise we only need to recall the formula for C(n,k):

where the symbol
is the factorial and means
.
By convention 0!=1. The most important property of the factorial is
, for example 3!=1*2*3=6.
(a) The explanations to the solutions is just the calculations.
.
(b) The explanations to the solutions is just the calculations.
For all the calculations just recall that 4! =24 and 5!=120.
Answer:
The average speed is 24 km/h less than the top speed of the lorry.
Step-by-step explanation:
The top speed of the lorry is the highest speed reached during transit, while its average speed is the mean speed attained
Given:.
Top speed of the lorry = 90 km/h
Average speed of the lorry = 66 km/h
Then,
The difference between the speed reached = top speed - average speed
= 90 - 66
= 24 km/h
Therefore, the average speed is 24 km/h less than the top speed of the lorry.