Answer:
x = 17
Step-by-step explanation:
∠6 and ∠7 are vertically opposite angles and thus are congruent, hence
4x = 2x + 34 ( subtract 2x from both sides )
2x = 34 ( divide both sides by 2 )
x = 17
Answer: (-9,4)
Step-by-step explanation:
2x-y=-22
-7x+y=67
-5x=45
x=-9
2(-9)-y=-22
-18-y=-22
-y=-4
y=4
Answer:
(22.0297, 23.3703)
Step-by-step explanation:
Given that an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California.
Let X be per capita income (in thousands of dollars) for a major city in California.
Mean = 22.7
n = 183
Population std dev = 6.3
Since population std dev is known we can use Z critical value.
Std error = 
Z critical =1.44
Marginof error = ±1.44*0.4657=0.6706
Confidence interval 85%
=
Answer:
if I am correct 2/3 is bigger than 0.65
and I think 5.5 is smaller than 5 3/7
and I think the order goes 3/8 5/6 1/2
Given:
ratio of altitude height = 2/3
Required:
ratio of volume
Solution:
Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.
The volume of a cylinder is equal to πr²×height.
ratio of volume = πr²×2/πr²×3
We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:
ratio of volume = 2/3
