Answer: 19.77%
Step-by-step explanation:
Given: Mean :
Standard deviation :
The formula to calculate z-score is given by :_
For x= 80, we have
The P-value =
In percent ,
Hence, the approximate percentage of the test scores during the past year exceeded 80 =19.77%
Given:
The inequality is:
To find:
The graph for the given linear inequality in the coordinate plane.
Solution:
We have,
The related equation for this inequality is:
The table of values is:
x y
0 3
-1 -2
Plot the points (0,3) and (-1,-2) on a coordinate plane and connect them by a dotted straight line because the sign of inequality is >.
Check the given inequality for (0,0).
This statement is true. So, the shaded area of the given inequality is towards the origin.
Therefore, the required graph is shown below.
Answer:
<h3>The answer is 4.9cm</h3>Step-by-step explanation:
To find the perpendicular distance between them that's the height we use the formula
where
a and b are the parallel sides of the trapezium
h is the perpendicular distance
From the question
Area = 31.5cm²
a = 7.5 cm
b = 5.3 cm
Substituting the values into the above formula we have
Divide both sides by 6.4
h = 4.921875
We have the final answer
<h3>h = 4.9cm</h3>Hope this helps you