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Eddi Din [679]
3 years ago
5

Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I,

spent on in-state tuition and the amount, O, spent on out-of-state tuition for a randomly selected student both follow a Normal distribution.
The mean and standard deviation of the sum S = I + O of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348.75 and σS = $1,508.48.

Use the z-table to answer the question.

What is the probability that the sum of a randomly selected pair of in- and out-of-state students has a tuition charge of more than $8,000?
0.0009
0.1368
0.8632
0.9991
Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Answer:

The correct answer is 0.1368

Step-by-step explanation:

Got it right on Edge assignment

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riadik2000 [5.3K]
<span>First of all to calculate the distance between two points we can use distance formula
   
d=Square Root [(x2-x1)^2 + (y2-y1)^2]
   
Now substitute the given points p(x1,y1) and q(x2,y2)in above distance formula
   
The values are X2=3, X1=8and Y2=8and Y1=2.
   
After Substituting the values
   
d=Square Root[(-5)^2+(6)^2]
   
d=Square Root(25+36]
   
d=Square Root[61]
   
d=7.8
   
7.8 is the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.</span>
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3 years ago
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3 years ago
Triangle ABC is shown below.
Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

AB=AC\\\\2x=3x-7

Simplify the equation, solving for x. Add 7 to both sides:

2x+7=3x-7+7\\\\2x+7=3x

Subtract 2x from both sides:

2x-2x+7=3x-2x\\\\7=x

The value of x is 7. Insert the value of x into the given length of AC:

AC=3(7)-7

Simplify multiplication:

AC=21-7

Subtract:

AC=14

Therefore, the length of the line segment AC is 14.

:Done

8 0
3 years ago
A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?
S_A_V [24]

Answer:

$17.00

Step-by-step explanation:

10 x 1.70 = $17.00

8 0
3 years ago
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4ln x -8=12 its giving me other equations
kogti [31]

The solution of the given logarithmic equation is x = 28.1

<h3>How to solve the logarithmic equation?</h3>

Here we have the logarithmic equation:

4*ln(x - 8) = 12

And we want to solve this for x.

Remember the relations:

ln(e^x) = x\\e^{ln(x)} = x

First, we divide both sides by 4:

ln(x - 8) = 12/4 = 3

Then, if we apply the exponential equation to both sides of our equation, we get:

e^{ln(x - 8)} = e^{3}\\\\x - 8 = e^3\\\\x = e^3 + 8 = 28.1

If you want to learn more about logarithmic equations:

brainly.com/question/236421

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