Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error =
Substituting the values in above equation
= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
Answer:
17 cm²
Step-by-step explanation:
First I cut this figure into 2 rectangles. One big and small one. (the big one is on top of the small rectangle).
For the big rectangle, I multiplied its length by its width.
The area of the big rectangle: 3cm * 5cm = 15cm²
For the smaller rectangle, I also multiplied its length and width.
The area of the small rectangle: 1cm * 2 cm = 2cm²
Add up its areas: 15+2
To get 17cm² as your final answer
Y = 4x - 9 and y = x-3 so the two right sides (4x-9 and x-3) must be equal
4x-9 = x-3
Let's solve for x
4x-9 = x-3
4x-9+9 = x-3+9 ... add 9 to both sides
4x = x+6
4x-x = x+6-x ... subtract x from both sides
3x = 6
3x/3 = 6/3 ... divide both sides by 3
x = 2
If x = 2, then y is...
y = 4*x - 9 = 4*2-9 = 8-9 = -1
which can also be found by
y = x-3 = 2-3 = -1
So overall x = 2 and y = -1
We have the ordered pair (x,y) = (2,-1)
Answer:
b
Step-by-step explanation:
90 - x = 81
x = 90 - 81 = 9
The answer is 9.