Sammie's monthly take-home pay is $3600, and his monthly rent is $900. If both his monthly take-home pay and his rent increase b
2 answers:
The original salary = $ 3,600
The increased salary will be = $ 3,600 + $ 250 = $ 3,850
The original rent = $ 900
The increased rent will be = $ 900 + $ 250
Since, both rent and salary increased by $ 250.
Now, the percentage of Sammie' salary paid as rent will be calculated as -
Percentage of salary paid as rent = × 100
Percentage of salary paid as rent = × 100
<u>Percentage of salary paid as rent = 29.9%</u>
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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.
(a) The differential equation is separable, so we separate the variables and integrate:
When x = 0, we have y = 2, so we solve for the constant C :
Then the particular solution to the DE is
We can go on to solve explicitly for y in terms of x :
(b) The curves y = x² and y = 2x - x² intersect for
and the bounded region is the set
The area of this region is