Answer:
Mean = 3640
Mode = 4100
Median = 3830.
Step-by-step explanation:
We are given the following data in the question:
Strength of casts (in psi):
3970,4100,3100,3200,2950,3830,4100,4050,3460
Formula:
Mode is the entry with most frequency. Thus, for the given sample mode = 4100.
Median
Since n = 9 is odd,
Formula:
Data in ascending order:
2950,3100,3200,3460,3830,3970,4050,4100,4100
Median = 5th term = 3830.
Answer:
see explanation
Step-by-step explanation:
Given
f(x) = ax + b
x = 2 → f(x) = 1 and x = - 1 → f(x) = - 5 ( from the table )
Substitute these values into f(x) = ax + b, that is
2a + b = 1 → (1)
- a + b = - 5 → (2)
Subtract (2) from (1) term by term to eliminate b
3a = 6 ( divide both sides by 3 )
a = 2
Substitute a = 2 into (2) and evaluate for b
- 2 + b = - 5 ( add 2 to both sides )
b = - 3
(b)
When x maps onto itself then
ax + b = x, that is
2x - 3 = x ( subtract x from both sides )
x - 3 = 0 ( add 3 to both sides )
x = 3
Thus a = 2, b = - 3 and x = 3
Lets find 2 points, one obvious one is (0,0), another point is (12,4)
y = mx + b
m is the slope
we got m = 1/3
We can eliminate answer choices C and D.
y = 1/3x + b
we need to solve for b
Plug in the point (0,0) and solve for b
0 = 1/3(0) + b
0 = 0 + b
b = 0
The equation of the line is y = 1/3x + 0, or
y = 1/3xYour answer is
B.
Put x=-2 in x-y=-2
-2-y=-2
-y=0
y=0
x=-2
that's your answer.
Answer: 20 times
Step-by-step explanation:
Given: The length of piece of wire = 10 millimeters
The length of screwdriver = 20 centimeters
We know that 1 cm = 10 mm
Therefore, the length of screwdriver = 
millimeters
The ratio of the length of screwdriver and length of wire is given by :-
The screwdriver is 20 times as long as the wire.
