Answer:
discount = 9
new price = 36
Step-by-step explanation:
The discount is the price times the discount percent
45 * 20%
Change to decimal form
45*.20
9
The new price is the original price minus the discount
45-9 = 36
Graph? Or diagram? .................
Answer: Margin of Error = 1.944
Lower Bound = 3.052
Explanation:-
Attached below is a file for monthly Rate of return. Used an excel sheet to determine the confidence interval which seems relatively easier as compared to manual computation. The range below (A2:A40) shows the monthly
Functions used : Standard Deviation as= STDEV (A2:A40)
Sample Mean = AVERAGE(A2:A40)
Margin of Error = CONFIDENCE.T(D4,D5,D2)
Lower Bound Interval = D6-D7 = -3.052
We are given one angle is 3 times less than other.
Let us assume one angle measure is x degrees and another is 4x.
Because x is 3x less than 4x. ( We can check 4x-x= 3x)
Sum of complementary angles is 90 degrees.
So, we can setup an equation
First angle measure + first angle = 90 degrees.
x+4x = 90.
Adding x and 4x, we get 5x.
So, 5x = 90.
Dividing both sides by 5, we get
5x/5 = 90.
x= 18.
So, one angle is of 18 degrees.
Another angle = 4x = 4 times 18 = 72 degrees.
So, required angles are of 18 degree and 72 degree.
Answer:
F(x)=-x^2-4x-1
Step-by-step explanation:
According to PEMDAS, do the exponent part for the parentheses, sense it goes first.
F(x)= -(x^2+4x+4)+3
Then distribute the - sign
F(x)= -x^2-4x-4+3
Then you simplify
F(x)= -x^2-4x-1
