Answer:
40.
Step-by-step explanation:
That is 5 * 4 * 2
= 40 combinations of a set of bowl, cup and spoon.
Answer:
2l + 2w = 96 ..... eqn1
lw = 504 ...... eqn2
Step-by-step explanation:
To model this case where we have two unknowns l and w, we need two equations.
Firstly, the perimeter of a rectangle is given by
2l + 2w = p
Where l,w and p are length, width and perimeter of the rectangle respectively.
Hence,
2l + 2w = 96 ... eqn1
Secondly, the area of a rectangle is given by
Length × width = Area
Hence,
l × w = 504
lw = 504 ... eqn2
With these two equations the solutions to the length and width of the rectangular pool can be derived.
Answer:
Step-by-step explanation:
Given equation is,
y = 3x² - 6x + 11
a). y = 3x² - 6x + 11
= 3(x² - 2x) + 11
= 3(x² -2x + 1 - 1) + 11
= 3(x² - 2x + 1) - 3 + 11
= 3(x - 1)² + 8
Comparing this equation with y = a(x - b)² + c
a = 3, b = 1 and c = 8
b). For minimum value of x,
Since, vertex of the graph is given by (b, c),
Minimum value of x will be,
x = b
x = 1
c). Vertex of the parabola → (b, c)
→ (1, 8)
For y-intercept,
By substituting x = 0 in the equation,
y = 3(0 - 1)² + 8
y = 11
Now we can sketch the graph by using the table of input - output values.
x -2 -1 0 1 2 3
y 35 20 11 8 11 20
Answer:
The standard form of 
is -2 x + 3 y = 21.
Step-by-step explanation:
Here, the given expression is : y= 2/3 x +7
The standard form of the equation is ax + by = c
Now, simplifying the above expression:
or, 
or, -2x + 3y = 21
Hence, the standard form of is -2x + 3y = 21.
Answer:
Chicago marathon runners
Step-by-step explanation:
Due to the strict qualifying time, the runners of the Boston marathon are going to very prepared, and quite close in their times. Since they are going to be close, the standard deviation is expected to be small.
Otherwise, in the Chicago marathon, anyone can run. This means that along with the professional runners, who are going to be very prepared, other unprepared runners will compete, and they are going to take a long time to complete the race, adding variation to the finishing times. The standard deviation is the square root of the variance, so since the variance for the Chicago marathon will be higher, the standard deviation also will
