Answer:
Step-by-step explanation:
Given the following :
Average amount spent (U) = $130 per trip
Sample size (n) = 25
Sample mean (m) = $135.25
Population standard deviation (sd) = $10.50
Assume a standard distribution.
A.) Null hypothesis ; Alternative hypothesis
Hnull : U ≤ 130 ; Ha : U > 130
B.) value of test statistic :
Z = (m - U) / standard error
Standard Error = sd / sqrt(n)
Standard Error( S.E)= 10.50 / sqrt(25)
S.E = 10.50 / 5 = 2.1
Hence,
Z = (135.25 - 130) / 2.1
Z = 5.25 / 2.1
Z = 2.5
C. Calculate the p-value.
Using the p value calculator by entering the z-score above, the p value obtained is 0.0124
P value = 0.01
D. Calculate the critical value
Given:
The graph of a function is given.
To find:
The range of the graph.
Solution:
We know that, the domain is the set of input values and range is the set of output values.
In a graph, domain is represented by the x-axis and range is represented by the y-axis.
From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).
The graph of the function is defined over the interval
. So, the domain is (-8,3].
The values of the function lie in the interval
. So, the range is (-8,4].
Therefore, the range of the function are all real values over the interval (-8,4].
Answer:
187 cm²
Step-by-step explanation:
The bottom rectangle area is easy, it is 15*9 = 135 cm².
To find the area of the triangle, you only need the base width and its height (you don't need the hypotenuse). You can then use the formula: area triangle is base times half height.
The base width is 15-7 = 8 cm
The height is 22-9 = 13 cm
So the area of the triangle is 13*8/2 = 52 cm²
Together with the 135 of the rectangle that sums to 52+135 = 187 cm².