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Naya [18.7K]
3 years ago
9

I need this in an equation please.

Mathematics
1 answer:
Nata [24]3 years ago
5 0
Let
x-------> <span>the amount in the education fund
y-------</span>> the amount in the CD

we know that
x+y=35000------> x=35000-y-----> equation 1
x=11000+2y-----> equation 2

equate equation 1 and equation 2

35000-y=11000+2y
2y+y=35000-11000
3y=24000
y=8000
x=35000-y------> x=35000-8000-------> x=27000
therefore

the answer is
the amount in the education fund is $27000
the amount in the CD is $8000
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Suppose that a college determines the following distribution for X = number of courses taken by a full-time student this semeste
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Answer:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).  

Solution to the problem

For this case we have the following distribution given:

X          3      4       5        6

P(X)   0.07  0.4  0.25  0.28

We can calculate the mean with the following formula:

E(X) = \sum_{i=1}^n X_i P(X_i) = 3*0.07 +4*0.4 +5*0.25 +6*0.28= 4.74

In order to find the variance we need to calculate first the second moment given by:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i) = 3^2*0.07 +4^2*0.4 +5^2*0.25 +6^2*0.28= 23.36

And the variance is given by:

Var(X) = E(X^2) +[E(X)]^2 = 23.36 -[4.74]^2 = 0.8924

And the deviation would be:

Sd(X) =\sqrt{0.8924} =0.9447

3 0
4 years ago
How do I solve problem 1?
alexira [117]
You do 90-45 bc the whole angel must equal 90

4 0
3 years ago
Read 2 more answers
How do I construct a sample data set for which n=7, x=9(x bar), and s=0?
JulijaS [17]
When the standard deviation = 0, there is no deviation at all. So the numbers are all the same. And there are seven of them. And the average is nine. 
So the sample data set would just be seven 9s. 
4 0
3 years ago
Supposed charity received a donation of $23.9 million. If this represents 54% of the charity donated funds what is the total amo
Tanzania [10]

Total amount of funds is $44.26 million.

Step-by-step explanation:

Given,

Donation received = $23.9 million

As it represents 54% of charity.

Let,

Total amount = x

Therefore,

54% of x = 23.9 million

\frac{54}{100}*x=23.9\\0.54x=23.9

Dividing both sides by 0.54

\frac{0.54x}{0.54}=\frac{23.9}{0.54}\\x=\$44.26\ millions

Total amount of funds is $44.26 million.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/3950386
  • brainly.com/question/4021035

#LearnwithBrainly

8 0
3 years ago
Please help it's urgent
dolphi86 [110]
X
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XII
1. x^2 + 2x + xy + 2y = x(x+2) + y(x+2) = (x+2)(x+y)
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3 years ago
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