Answer:
We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 232 V
Sample mean, 
= 231.5 V
Sample size, n = 66
Sample standard deviation, s = 2.19 V
Alpha, α = 0.05
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We accept the null hypothesis and conclude that voltage for these networks is 232 V.
Answer:
about 78 years
Step-by-step explanation:
Population
y =ab^t where a is the initial population and b is 1+the percent of increase
t is in years
y = 2000000(1+.04)^t
y = 2000000(1.04)^t
Food
y = a+bt where a is the initial population and b is constant increase
t is in years
b = .5 million = 500000
y = 4000000 +500000t
We need to set these equal and solve for t to determine when food shortage will occur
2000000(1.04)^t= 4000000 +500000t
Using graphing technology, (see attached graph The y axis is in millions of years), where these two lines intersect is the year where food shortages start.
t≈78 years
Answer:
x > -18
Step-by-step explanation:
10 ( x - 9 ) > -270
Treat the inequality like an equation,
Distribute first:
10 ( x - 9 ) > - 270
10x - 90 > -270
Inverse operations:
10x - 90 > -270
+90 +90
10x > -180
/10 /10
x > -18
X+1=4x-2
+2 +2
x+3=4x
-x -x
3=3x
1=x
Answer:
6 ---------> 2x : 48 = 3 : 12
9 ---------> 2 : 3 = 6 : x
16 --------> 12 : 15 = x : 20
24 -------> 4 : 7 = x : 42
Step-by-step explanation:
