Answer:
Direct variation
Step-by-step explanation:
It's not iverse because the line is curved so it's direct variation
Answer:
46.2 square inches
Step-by-step explanation:
A parallelogram is a quadrilateral (4 sided closed figure) with 2 pair of parallel sides.
The diagram shown is a parallelogram.
Top and Bottom are parallel lines,
both sides are parallel lines (left and right).
The area for a parallelogram is given by:
Area = Base * Height
In the given figure, the base is clearly given as 4.2 inches
The height (perpendicular distance from base) is given as 11 inches.
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<em><u>So, basically we do not need the 11.7 inches length of side given.</u></em>
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Now, lets compute the area:
Area = base * height = 4.2 * 11 = 46.2 square inches
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
Answer:
Step-by-step explanation:
Given function is,
f(x) = 
If the given function is vertically stretched by a scale factor of 
Or 1.5,
Transformed function will be,
h(x) = ![\frac{3}{2}[f(x)]](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Bf%28x%29%5D)
h(x) = 
Further function 'h' is shifted 1 units upwards,
g(x) = h(x) + 1
g(x) = 
Domain of the function → x ≥ 0 Or [0, ∞)
Range of the function → y ≥ 1 Or [1, ∞)
Transformations done → Parent function f(x) is vertically stretched by a scale factor of then shifted 1 unit upward.
Answer:
c. there are 4 fewer sixth graders than eighth graders who would prefer the same amount of time between classes.
Step-by-step explanation:
the answer is c because it's the only logical one. while there are 5 eighth graders who want the same amount of time and 1 sixth grader. 5-1 is 4. 4 fewer.
