<span>-8 < x -3 < 1
we have two inequations:
* -8<x-3 and -8+3<x-3+3 or -5 < x or x>-5
* x-3<1 or x-3+3<1+3 and we have x<4
For all cases we have -5<x<4
or </span><span>interval notations: x</span>∈(-5;4)
have fun
Area of the rectangle is 2*6=12 in^2
12 could be = 1*12 or 2*6 or 3*4
P could be 2*(1+12)=2*13=26
2*(2+6)=2*8=16
2*(3+4)=2*7=14
the answer is 24 in (c)
Answer:
D. Infinite solutions.
Step-by-step explanation:
Since they give us the equation for (y) we just implement that equation in place of (y) in the second equation
15x+3y=27 now becomes
15x+3(-5x+9)=27
Distribute the 3
15x-15x+27=27
15x and -15x cancel out
27=27
Infinite solutions since both sides are exactly equal.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
a) 25
b) 49
c) 97
Step-by-step explanation:
The sample size is calculated using the formula, n = 
Now,
for 95% confidence level value of z-factor = 1.96
Given:
Mean = $3.94
standard deviation = $0.25
thus,
a) for margin of error = $0.10
n =
or
n = 
or
n = 4.9²
or
n = 24.01 ≈ 25 (Rounded off to next integer)
b) for margin of error = $0.07
n =
or
n = 
or
n = 7²
or
n = 49
c) for margin of error = $0.05
n =
or
n = 
or
n = 9.8²
or
n = 96.04 ≈ 97 (Rounded off to next integer)
Answer:
219,000
Step-by-step explanation:
How many 6 hour periods are in a day?
24 divided by 6 is 4.
150 times 4 equals 600
finally 600 times 365 equals 219,000 planes a year
