separate the figure into easier parts first. for example two rectangles. first to find the area of the bottom rectangle multiply 10 * 4 = 40. the second rectangle has a height of 8 and a width of 5 because 3 + 2 = 5 and 10 - 5 will get you the width of the top rectangle. 8 * 5 = 40. now add both of the rectangles to get the final area which would be 40 + 40 = 80cm
Axis of symmetry (blue line): x= -2
X intercepts (green dots): (-3,0), (-1,0)
Y intercept (black dot): (0,9)
Vertex (red dot): (-2,-3)
F(x) = 2x + 1 when x <= -5
Now -10 is less than -5 so we plug x = -10 into 2x +1:-
f(-10) = 2(-10) + 1 = -19 answer
Now f(x) = x^2 when -5< x < 5
x =2 is within this range so f(2) = 2^2 = 4 answer
You can calculate the other 3 values by a similar method
Answer: 108 cubic inches
Step-by-step explanation:
Hi, to answer this question we have to apple the next formula:
Volume of a rectangular prism (V): base area x height (deep of the soil)
Replacing with the values given:
V = 36 x 3 =108 cubic inches
Ian should put 108 cubic inches of soil in the flower pot.
The volume of the soil is 108 cubic inches.
Feel free to ask for more if needed or if you did not understand something.
Answer:
Step-by-step explanation:
Data provided
represent the sample mean in mg per deciliter of cholesterol level
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
Replacing into the formula we got:
P-value
We need to find first the degrees of freedom:
The p value for this case since we have a right tailed test is:
