Answer:
E 0.923
Step-by-step explanation:
The Z score is a measurement used in statistics to determine the relationship between a value and a mean of a group of values measured as standard deviation from the mean. The z score (z) is given as:
, Where μ is the mean, σ is the standard deviation and x is the value.
Given that:
σ = 7, μ = 80 and x = 90

From the normal distribution table, P(X < 90) = P(z < 1.43) = 0.923
Answer:
The area is 28.
Step-by-step explanation:
Visualize the rectangle as 2 split squares.
The top square is easily 4x4, so the area of that part is 16.
Now visualize the bottom square as two rectangles.
To find the area of the dented side, you would use the equation of finding the area of a triangle, a=(w x h)
because the dented side is actually just one half of the rectangle on the other side.
Since it is the same height as the top square, but is 2 in width, it would be written as a=(2 x 4)
. So the area of that part is 4, and the area of the other rectangle would be just 2 x 4 so it is 8.
Totaling these numbers, you get the area of the full rectangle.
Answer:
The equation is 4x + 3 ....
Answer:
49π
Step-by-step explanation:
πr^2
π*7^2
49π
We have that
<span>y=-1/3(x+2)</span>²<span>+5
using a graph tool
see the attached figure
we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0) and (1.873,0)
5) the y intercept value is (0,3.667)
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