9514 1404 393
Answer:
√35 +3√7 -6 . . . square units
Step-by-step explanation:
The area can be figured a number of ways. The figure can be divided into parts, and the areas of those parts added.
Or, the area of the enclosing rectangle can be found, and the rectangle at upper right that is not shaded can be subtracted from that. We choose the latter.
The overall width is the sum of the given partial widths:
width = (√7 -2) + (2) = √7
Then the area of the bounding rectangle is ...
A = LW = (√5 +3)(√7) = √35 +3√7
The area of the upper right empty-space is ...
A = LW = (3)(2) = 6
Then The area of the shaded figure is ...
√35 +3√7 -6
Answer:
We can be 95% confident that consumers spend between $4.04 and $15.96 less at Store A than the consumers spend at Store B.
Step-by-step explanation:
Confidence Intervals give an estimate as range of values for a statistic concerned at a <em>confidence level</em>.
In this case the statistic is the mean difference between Store A and Store B purchase amounts and the confidence level is 95%.
Confidence Interval can be calculated using M±ME where
- M is the sample mean difference between Store A and Store B purchase amounts
- ME is the margin of error from the mean
Answer: The equation is y = 4x+3
Slope = 4
y intercept = 3
========================================================
Explanation:
Let's start off by finding the slope.
The slope is 4.
The y intercept is 3 because of the point (0,3)
We go from y = mx+b to y = 4x+3
m = slope
b = y intercept
---------------
Check:
Plug in x = 0 and we should get to y = 3
y = 4x+3
y = 4(0)+3
y = 0+3
y = 3
That works out. Now try x = 4. It should lead to y = 19
y = 4x+3
y = 4(4)+3
y = 16+3
y = 19
The answer is confirmed.
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
(1)
(1b)
If we know that 
, 
, 
, 
and 
, then the perimeter of the pentagon MNPQR is:
The pentagon MNPQR has a perimeter of 22 units.
