Answer:
ion know
Step-by-step explanation:
Answer:
Within 0.5 of ;
is not ;
Step-by-step explanation:
Given the data:
The actual standard deviation, = 1
;
The range rule of thumb to estimate the value if standard deviation is ;
Estimated standard deviation = Range / 4
The range = (maximum - minimum) values
The estimated standard deviation = 4 / 4 = 1
Hence, the estimated standard deviation is with 0.5 of the actual standard deviation, Thus, the estimated standard deviation is not substantially different from the actual standard deviation.
Answer:
in (x,y), it becomes (-x,y)
Step-by-step explanation:
Answer:
- It is the last graph: solid line, shaded area over the line x = 2 - x/2
Explanation:
1) <u>Set the algebraigic expression that represents the combinations of sofa and pillow orders:</u>
- Number of sofas: x (given)
- Number of pillows: 2y (given, since they come in pairs)
- Number of items = number of sofas + number of pillows = x + 2y
- Minimum of 4 items in each order (given) ⇒ x + 2y ≥ 4
<u>2) Predict the graph of the inequality x + 2y ≥ 4</u>
- The border line is the equation x + 2y = 4
- You can choose two points to draw a line
- Choose the axis-intercepst:
x = 0 ⇒ 2y = 4 ⇒ y =4/2 ⇒ y = 2 ⇒ point (0,2)
y = 0 ⇒ x = 4 ⇒ point (4,0)
Then the lines goes through (0,2) and (4,0) ... [the four graphs meet this]
- The shading area is above the line because when you solve for y you get y ≥ 2 - x/2, and the line is included because the "equal to" part of the symbol (≥ means greater than or equal to).
- To state that the line is included the graph uses a continous line instead of a dotted one.
<u>3) Conclusion:</u>
That means that the correct graph is the last one: solid line, shaded area over the line y = 2 - x/2.
Note: a more detailed graph would include the fact that the items cannot be negative, i.e. x ≥ 0 and y ≥ 0, which would result in that the shaded area would be on the first quadrant.
Answer:
Given f(x)=32
So we can substitute 32 in place of 'x'
So, f(x)=3x-1
= f(x)=3(32)-1
= f(x)=96-1
= f(x)=95
f(x)=3x-1 = 95
