Answer:
Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.
Step-by-step explanation:
Statisticians use z-scores to divide the area under a curve the way people use a knife to cut pizza.
z-score:
- A z-score is a numerical measurement which is measured in terms of standard deviations from the mean.
- Formula:
- If a z-score is 0, it tells that the data point is same as the mean.
- Area under the normal curve is 1.
Answer:
where's the worksheet
Step-by-step explanation:
5/16 divided by 20/40
5/16 times 40/20
5 times 40= 200
16 times 20=320
200/320=20/32=10/16=5/8
Final Answer: 5/8
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)
d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.
Answer:
See below
Step-by-step explanation:
You just need 1/4 of everything:
1/4 c peanut butter
1/4 c brown sugar
1/4 c gran sugar
1/4 c butter
1/2 egg
1/4 tsp baking soda
1/4 tsp baking powder
1/4 tsp vanilla
5/8 c flour
