In the survey, 9 said they prefer the coffee shop next door out of 45 people total surveyed. This forms the fraction 9/45 = 1/5 which converts to 0.2 when you use a calculator or long division. In other words, 1/5 = 0.2
You'll then multiply the result of 0.2 by the total number of employees (250) to get...
0.2*250 = 50
So based on the results of the survey, we expect about 50 employees to say they prefer the coffee shop next door.
Answer: Choice B) 50
Recall that variation of parameters is used to solve second-order ODEs of the form
<em>y''(t)</em> + <em>p(t)</em> <em>y'(t)</em> + <em>q(t)</em> <em>y(t)</em> = <em>f(t)</em>
so the first thing you need to do is divide both sides of your equation by <em>t</em> :
<em>y''</em> + (2<em>t</em> - 1)/<em>t</em> <em>y'</em> - 2/<em>t</em> <em>y</em> = 7<em>t</em>
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You're looking for a solution of the form

where


and <em>W</em> denotes the Wronskian determinant.
Compute the Wronskian:

Then


The general solution to the ODE is

which simplifies somewhat to

Answer:
Step-by-step explanation:
A
The marble is red. There are 6 red marbles out of ten. So the answer is
6/10 = 0.60
B
Red: 1 3 5
Blue: 1 3
So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.
Red: 1/2 * 3/6 = 1/4 = 0.25
Blue: 1/2 * 2/4 = 0.25
Red + blue = 1/4 + 1/4 = 1/2
You could have gotten 1/2 by taking 5/10 but that won't always work.
C
Answer:
300 centimeters
Step-by-step explanation:
1 meter is equal to 100 cm so 3 x 100 = 300
B is the correct answer. 3(x+1)=24