If you know that a student receives financial aid,
what is the probability that the student is a
graduate student?

Answer:

Let x be the total fund

[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]

3x/5 + 2/3(2x/5) + 8 = x

3x/5 + 4x/15 + 8 = x

9x/15 + 4x/15 + 120/15 = 15x/15

9x+4x+120=15x

-2x= -120

x=60£

Answer:

x = 6

Step-by-step explanation:

x/16 = 3/8

Step 1: Cross-multiply.

x/16 = 3/8

x*(8) = (3)*(16)

8x = 48

Step 2: Divide both sides by 8.

8x/8 = 48/8

*Ta da!*

x = 6

- Have a great day! -

Answer:

Only noninteger values of x

Step-by-step explanation:

did this already

Only non integer values of x best describes the possible values of x in the equation [x-1]=[x]

A number system is defined as a system of writing to express numbers.

When x is an integer, the equation simplifies to [x-1] = [x], which means that the greatest integer less than or equal to (x-1) is equal to the greatest integer less than or equal to x.

This is only possible if x-1 and x are consecutive integers, so x must be an integer value of n + 1/2 for some integer n.

For non-integer values of x, we have x-1 < [x] < x, which means that [x] is equal to the greatest integer less than or equal to x-1.

So, the equation becomes x-1 < [x] < x, which simplifies to x-1 < x - {x} <= x, where {x} is the fractional part of x.

Therefore, we have x-1 < x - {x} and x - {x} <= x, which gives 1 < {x} and {x} <= 0, which is not possible.

Hence, the only values of x that satisfy the equation are non-integer values of x.

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The true statement about auto insurance is : ( D ) Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.

Auto insurance is a contract entered between a car owner or his representative with an insurance company, which protects the car owner from any financial losses arising from the damage or loss of the car. A premium is been paid as agreed between the car owner and the insurance company to keep the auto insurance active.

The premium amount varies from company to company.

In conclusion Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.

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Answer:

A. Emperor is the main character

Step-by-step explanation:

I've read it before

Answer:

See below ~

Step-by-step explanation:

A.

B.

C.

#1

m<5 and m<10 are alternative and equal

#2

They are supplementary

#3

Alternate angles are equal

Answer:

B. The citizens

Step-by-step explanation:

When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers

Hope this helps! ;-)

Answer:

the vertex is (-3 , -3)

Step-by-step explanation:

[tex]\frac{1}{2} x^{2}+3x+\frac{3}{2}[/tex]

[tex]=\frac{1}{2} \left( x^{2}+6x+3\right)[/tex]

[tex]=\frac{1}{2} \left[ \left( x+3\right)^{2} -9+3\right][/tex]

[tex]=\frac{1}{2} \left( x+3\right)^{2} -3[/tex]

then the vertex is (-3 , -3)

Answer:

4 feet = 48 inches

48 + 8 = 56 inches

Step-by-step explanation:

4 feet = 48 inches

48 + 8 = 56 inches

Answer:

3260

Step-by-step explanation:

Answer:

147

Step-by-step explanation:

Supplementary angles add to 180 total.

x + y = 180

x + 33 = 180

x = 147

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies directly with "x"}}{y=kx}\qquad \textit{we also know that} \begin{cases} x=\frac{2}{3}\\ y = 6 \end{cases}\implies 6=k\cfrac{2}{3} \\\\\\ 18=2k\implies \cfrac{18}{2}=k\implies 9=k~\hfill \boxed{y=9x} \\\\\\ when~x=10\frac{1}{3}\textit{ what is "y"?}\qquad y=9\left( 10\frac{1}{3} \right)\implies y=9\cdot \cfrac{31}{3}\implies y=93[/tex]

Answer:

2x + 2y + 3y

Step-by-step explanation:

The others are equations ( containing the = sign).

Answer:

2x+2y+3y

Step-by-step explanation:

an expression is not equated to any number but an equation is equated to any number especially zero

Answer:

your missing angle is 136

Step-by-step explanation:

equation used: 360 - (136 + 88) = 136

Answer:

hello!!!

300 cupcakes

please read the explanation.. it always helps... trust me...

Step-by-step explanation:

alrighty here it goes...

okay.. so we start by reading the problem (duh) but also underlining the important numbers that we need. yes, it really is that simple, trust me....

okay so the percentage of chocoalte cupcakes was 8% and the amount of vanilla cupcakes was 276.

we start by taking 100% - 8% = 92% so the amount of vanilla cupcakes sold was 276 which is also 92% of the total amount of cupcakes.

so now we need to find out 92% of what number gets us 276.

the percentage formula (in this problem) should be as follows:

92/100 x (total amount of cupcakes) = 276

to solve for total amount of cupcakes you do 276 x 100 then you divide by 92 to get your answer (which is 300)

i hope this helps!!!

Answer:

300

Step-by-step explanation:

Answer:

B. 3.16

Step-by-step explanation:

1) formula of the required distance is:
[tex]d=\sqrt{(X_A-X_B)^2+(Y_A-Y_B)^2} ;[/tex]

2) if A(3;-8) and B(0;-9), then according to the formula above:

[tex]d=\sqrt{(0-3)^2+(-9+8)^2} =\sqrt{10}.[/tex]

d≈3.16

Answer:

B

Step-by-step explanation:

2x(x²-6x+8)=2x(x-4)(x-2)

Answer:

its b actually jack had 5 numbers for each button

Answer:

28m²

Step-by-step explanation:

I don't really know how to explain so I'm just going to say its 28m²

The area of the part with cement will be 28 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the image has the backyard area in which some part is cemented and the remaining part is grass.

The area of the cemented part will be calculated as:-

Cemented area = Total area - Area of grass

Cemented area = ( 6 x 6 ) - ( 4 x 2 )

Cemented area = 36 - 8

Cemented area = 28 square meters

Therefore, the part with cement in the backyard will have an area of 28 square meters.

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Answer:

52 times

Step-by-step explanation:

Probability (C) = 4/7

Multiply with 13 :

This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.

Answer:

it's D

Step-by-step explanation:

squrt(8^2-6^2)

use Pythago law

Considering the table that describes the function, it is found that when x = 5, the value of y is of y = 9.

The table representing the function states the value of y associated with each value of x.

Hence, considering the third line of the table, it is found that when x = 5, the value of y is of y = 9.

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The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.

The expected value is used to calculate the weighted average of all the possible values of a random variable.

[tex]\sum_{i=1}^n=P_i\times V_i[/tex]

Here, P is the probability of winning a prize and V is the value of the price.

At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,

[tex]P=\dfrac{1}{100}[/tex]

There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,

[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]

Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.

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An angle's measure is 20 times less than its supplement. Determine the angle's length. supplement = 180 - x = 180 - 130 = 50 degrees