Answer:
The standard error of the mean = 5.14 mins
Step-by-step explanation:
Number of random sample (n) = 20
Mean(X) = 31.25 mins
Standard deviation (α) = 23.7 mins
Standard error of mean =
standard deviation / √sample size
= 23.7/√20
= 23.7/4.4721
= 5.14 mins
Linear function definition: a function that will create a straight line when graphed.
11 is not a linear function (not a straight line), but 12 is.
For the tables, you can either plot out the graph or just look at the number patterns. A linear function's numbers will always increase/decrease accordingly at a constant rate. For example, in 14, you notice that as x increases by 1, y decreases by 2. This means it is a linear graph.
In 13, as x increases by 1, the output y increases but at a different rate each time. It increased by 3 at first, then 5, then 7. Hence, it is not a linear function. What is it then? It is an exponential function.
The answer should be 95in^2
Explanation:
You’re essentially just finding the area of all the shapes on the triangle and adding them together.
Area of a triangle = 1/2•b•h
Area of a square = l•w or just s2
The area of the triangles given what we have in the diagram can be found with
1/2•5•7 = 17.5
There are 4 triangles so you multiply 17.5 by 4 which gives 70
The base of the triangle (the square) = 25
70+25=95
I split it into parts. The small rectangle sticking out is 2x3 which is a 6 and the big rectangle 4x8 which is 32. The triangle is 8x2/2 which is 8. 6+32+8 = 46
15+12+6= total number of marbles
33= total
Not clear marbles = 15+12 or 27
27 /33
.818181
82 percent
