University Data
Receiving
Not Receiving
Total
Financial Aid
Financial Aid
Undergraduates
4222
3898
8120
Graduates
1879
731
2610
Total
6101
4629
10730
If a student is selected at random, what is the
probability that the student is a graduate
(rounded to the nearest percent)? [ ? ]%

Answer:

Step-by-step explanation:

You have 2 x's.  I think the first one is for multiplication and the second one is a variable.

2x2 -1 = 7x  

4-1 = 7x (first multiple 2x2)

3=7x  (second 4-1)

0.428571429 = x (Divide both sides by 7.  On the left side, 3/7 is 0.428571429 and 7x/7 is just x because the 7s cancel out.

Since the answer needs to be to two decimal places, I have to decide if 0.428571429 is closer to 0.42 or 0.43 Since the digit after the 2 in the answer is 8, that makes the number closer to 0.43 than 0.42.  So, the final answer is 0.43

Answer:

x=1

Step-by-step explanation:

1 + 1/3 = 4/9

1/3 also equals 3/9

hope this helped :)

Answer :

Step-by-step explanation :

>> (3 × x + x / 3) = 4 / 9

>> (3x + x / 3) = 4 / 9

>> (4x / 3) = 4 / 9

>> 4x × 9 = 3 × 4

>> 36x = 12

>> x = 12 / 36

>> x = 6 / 18

>> x = 3 / 9

>> x = 1 / 3

Yes we can prove that in the group of more than two people that there are at least two people that have the same number friends given the condition here.

Let us create a variable P. P is an individual called Joe. Now Joes seems to know all at this party. This tells us that all at this party should at least know him.

We have the set  {1,2,...n-1} , given that the minimum number of persons that one person knows is 1.

Let us assume we have Harry. Harry is a party crasher who came to the party. Hence it is possible that someone like Joe that knows all at the party may not even know him. Hence the maximum persons that a person would know is given to be n. The set would then be {0, 1,...,n-2}.

There are n elements in the 2 sets that we have above. Given that n people are at this function, and there are n possibilities for the number that one person can know of the participants, then we can say that at least two people can then know equal number of persons at the party.

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Answer:

59

Step-by-step explanation:

Angle degrees in a triangle add up to 180

66+55+x=180

121+x=180

x=59

Answer

59°

Step-by-step explanation:

A triangle's angles add up to 180°.

So to find the last angle of the shape, you need to add the given angles and then subtract the answer from 180° looking like this:

66° + 55° = 121°

180° - 121° = 59°

Answer:

40%

8%

15%

37%

Step-by-step explanation:

The solutions are in the image

Answer: no, it's not similar because we cannot multiply it by any factor that the ratio will be the

Step-by-step explanation:

Answer:

3.Tan(45)=n/2

1=n/2

n=2

Cos(45)=2/m

1/√2=2/m

m=2√2

5.Sin(60)=x/14

√3/2=x/14

14√3/2=x

x=7√3

Cos(60)=y/14

1/2=y/14

y=7

Josie has a total of 5 quarters.

Josie has 16 coins. Each of her coins is either a quarter or a dime.

Let

x = number of quarters

y = number of dime

she has 6 more dimes than quarters.

Therefore,

y = 6 + x

x + y = 16

-x + y = 6

2y = 22

y = 11

11 = 6 + x

x = 11 - 6

x = 5

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A variable that can only take on specific numeric values is called  A discrete random variable.

According to the statement

A variable which is used to select a specific numeric value and we have to find a those variable

A discrete random variable is one which may take on only a countable number of distinct values.

So, A variable that can only take on specific numeric values is called  A discrete random variable.

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The exponential equation for the number of Bacterian Camels in Mongolia is:

[tex]P(t) = 600(0.982)^t[/tex]

The parameters can be described as follows:

A decaying exponential function is modeled by:

[tex]P(t) = A(1 - r)^t[/tex]

In which:

For this problem, the values of the parameters are given as follows:

A = 600, r = 0.018.

Then the equation is:

[tex]P(t) = A(1 - r)^t[/tex]

[tex]P(t) = 600(0.982)^t[/tex]

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The measure represents the standard deviation of the sample means and is used in place of the population standard deviation when the population parameters are unknown is; t-test.

A hypothesis test for a population mean when In the case that the population standard deviation, σ, is unknown, carrying out a hypothesis test for the population mean is done in similarly like the population standard deviation is known. A major distinctive property is that unlike the standard normal distribution, the t-test is invoked.

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Answer:

standard error of the mean

Step-by-step explanation:

Plato/Edmentum

Answer:

A

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3

this indicates the sequence is geometric.

the recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio r , that is

f(n) = - 3f(n - 1) if n > 1 : f(1) = - 3

The general equation of a circle is written like [tex](x-h)^2+(y-k)^2=r^2[/tex], where (h,k) is the centre and r is the radius.

Firstly, we're given that the centre is (8,6).

Plug this into the general equation:

[tex](x-h)^2+(y-k)^2=r^2\\(x-8)^2+(y-6)^2=r^2[/tex]

We're given this other point on the circumference of the circle, (8,0), which is 6 units away from the center.

Therefore, the radius is 6 units. Plug this into the general equation too:

[tex](x-8)^2+(y-6)^2=r^2\\(x-8)^2+(y-6)^2=6^2\\(x-8)^2+(y-6)^2=36[/tex]

[tex](x-8)^2+(y-6)^2=36[/tex]

The true statements are:

If two planes are said to have intersect each other, the intersection will be regarded as a line.

Hence, looking at the image attached, you will see that Points C, D, and A are noncollinear and the line containing points F and G is on plane R.

Note that when a line and a plane are said to intersect each other , the intersection will be a single point, or say a line. So Points A, B, and D are on both planes.

Therefore, option 1, 2, 4 and 5 are correct.

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Answer: option 1 , 2 , 4 , 5

Step-by-step explanation: edge 2022

The slope of both lines is mathematically equivalent to

[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]i

Generally, the equation for Slope is  mathematically given as

[tex]S= dy / dx[/tex]

Therefore

[tex]Slope of PQ = \frac{(z - v)}{(x - w)}[/tex]

[tex]S of P'Q' =\frac{ (z + b - (v + b))}{((x + a) - (w + a))}\\\\S of P'Q' =\frac{ (z - v)}{(x - w)}[/tex]

The slopes of both lines are equivalent to

[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]

In conclusion, The slope of both lines is equivalent to

[tex]Slope=\frac{(z - v)}{ (x - w)}[/tex]

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Answer:

A: z - v | x - w

Step-by-step explanation:

Answer:

  (a)  6√3, 6√7

Step-by-step explanation:

The right triangles shown are all similar, so corresponding sides are proportional. This gives rise to three "geometric mean" relations between the various lengths.

Using P, F, L, and H to represent the points marked Park, Football field, Library, and Home, the relations are ...

  PF/FH = FL/PF   ⇒   PF = √(FH·FL)

  PL/FL = HL/PL   ⇒   PL = √(FL·HL)

  PH/HL = HF/PH   ⇒   PH = √(HL·HF)

(a) The distance from the park to the library is ...

  PL = √(FL·HL) = √(12·9) = 6√3 . . . miles

(b) The distance from the football field to the park is ...

  PF = √(FH·FL) = √(21·12) = 6√7 . . . miles

Answer:

29 years

Step-by-step explanation:

[tex]f(x)= 200(0.5)^\frac{140}{50}}[/tex]

From here I'll just use a calculator & get 28.7, or 29 years.

It is the definition of  Midpoint

Disclaimer!!!

The question is incomplete and the correct question is shown below

What definition would justify the following statement?

If T is the midpoint of segment RS then, Segment RT is congruent to segment TS..

If t is the midpoint of segment rs then, segment rt is congruent to segment ts. is the definition of the midpoint

The line segment of a triangle connecting the midpoint of two sides of the triangle is said to be parallel to its third side and is also half the length of the third side, according to the midpoint theorem.

Hence It is the definition of the midpoint

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Answer: C:  Definition of Midpoint

Step-by-step explanation: Hope that helped!

Answer:

5

Step-by-step explanation:

-2x - y = -3

y = -3x + 2

-2x - (-3x + 2) = -3

-2x + 3x - 2 = -3

x = -1

y = -3*-1 + 2 = 5

Answer:

last choice

Step-by-step explanation:

The domain is the set of x values: from -3 to 3.

The range is the set of y values: from 1 to 10.

Answer: last choice

The formula is illustrated below:

It should be noted that a cylinder simply means a three dimensional solid which holds two parallel bases that are joined by a curved surface.

In this case, it can be seen that the formula that can be used to calculate the volume and the surface area of the cylinder is illustrated above.

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Answer: There are only 90 two-digit numbers. It shouldn’t take long to write them out and count them

Step-by-step explanation:

Answer:

45 numbers

Step-by-step explanation:

The 10-digit numbers are 10-99. We can manually write them out to start and see if we can find a pattern.

We can start 10-19: The numbers that have one odd digit and one even digit at 10, 12, 14, 16, 18 (since 1 is odd, we can only pick the numbers that have an even unit digit)

Next, we move on to 20-29: The numbers that follow the property are 21, 23, 25, 27, 29

Both of these examples have 5 numbers that follow the property. We can notice that all of the subsequent clusters (30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99) will also have 5 each. The numbers that start with an odd number will have the same unit digits as the 10-19 cluster, and the numbers that start with an even number will have the same unit digits as the 20-29 cluster. Observe:

30-39: 30, 32, 34, 36, 38

40-49: 41, 43, 45, 47, 49

50-59: 50, 52, 54, 56, 58

60-69: 61, 63, 65, 67, 69

70-79: 70, 72, 74, 76, 78

80-89: 81, 83, 85, 87, 89

90-99: 90, 92, 94, 96, 98

In all, there are 9 clusters of numbers, and each one has 5 numbers that follow the property. Therefore, the total is 9*5 or 45 numbers

Answer:

15 triangles.

Step-by-step explanation:

just count them eventually you will reach there.

The expected value of a roll of this weighted die is; 13/3 or 4.33

We are given that;

A $6 sided die is weighted.

Probability of any number being rolled is proportional to the value of the roll.

Probability of a $2 being rolled is twice that of a $1 being rolled.

Thus, the expected Value is;

E(x) =  (1*1 + 2*2 + 3*3 + 4*4 + 5*5 + 6*6)/(1 + 2 + 3 + 4 + 5 + 6)

E(x) = 13/3 = 4.33

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Answer:

line segment AC (hypotenuse)

Step-by-step explanation:

The Pythagorean Theorem states that the sum of squares of the base/height of the triangle will equal the hypotenuse squared which is what c is equal to. So the c would represent the hypotenuse which is the side from the points A to C in the diagram.

Work:

First it's a rectangle so its area is equal to the product (multiplication) of both sides of the rectangle (dimensions). A = a x b = ab

NOW: knowing the the circumference or perimeter is equal to 400m, we can say that P = 400 = 2(a+b) = 2a + 2b since the given polynom is rectangle. 2a + 2b = 400 <==> 2a = 400 - 2b <==> a = 200 - b.

We gave an expression of a in function of b. Now we can replace the variable a by 200 - b in the first expression of the area.

A = ab = (200-b)b = 200b-b^2 = -b^2 + 200b

A is now a quadratic equation. We note A(b) the epression -b^2 +200b so:

A(b) = -b^2 +200b

We can already see that A is a quadratic equation of the form:

ax^2 + b + c. The a coefficient is negative which will lead to closed parabola when looking from the top. Now we need to find the maximum of the function by using the derivatives:

A(b) = -b^2 +200b <==> A'(b) = -2b + 200b

and -2b + 200b = 0 <==> b = 100;

So the derivative function crosses the x-axis at (100; 0).

So is increasing over ]-∞; 100] and decreasing over [100; ∞[.

We obtain a maxima on (100; x) with A. To find it we need to replace 100 by b in the function A.

A(b) = -b^2 + 200b

<==> A(100) = -100^2 + 200 x 100 = - 10000 + 20000 = 10000

Now let's find a: if b = 100 what equals a ?

We know that ab = 10000 <==> 100a = 10000 <==> a = 100;

And we verify that ab = 100 x 100 = 10000.

The rectangle needs to be a square to reach the maximum area of 10000m^2 or also 0.01 km^2.

Q.E.D.

Answer:

D: (-∞,∞)

R: (0,∞)

Step-by-step explanation:

This is a parabola, so the domain of this function is always:
D:(-∞,∞)
The y-values of this parabola do not go any lower than 0, and it goes upwards in the positive y-direction. So, the range for this function is:
R:(0,∞)

There are 0 intersections between the railroad and the highway and there are 2 intersections between the railroad and the turnpike

From the graph, we have the following points on the railroad

(x, y) = (3, 3) and (0, 5)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

This gives

m = (5 -3)/(0 - 3)

Evaluate

m = -2/3

The equation is then calculated as:

y = mx + b

This gives

y = -2/3x + b

Substitute (0, 5)

5 = -2/3 * 0 + b

This gives

b = 5

Substitute b = 5 in y = -2/3x + b

y = -2/3x + 5

Multiply through by 3

3y = -2x + 15

Rewrite as:

2x + 3y = 15

The equation of the highway's path is

2x+3y=21

So, we have:

2x+3y=21

2x + 3y = 15

Subtract the equations

2x - 2x + 3y - 3y = 21 - 15

Evaluate

0 = 6

The above equation is false because 0 and 6 are not equal.

This means that the system of equations have no solution

Hence, there are 0 intersections between the railroad and the highway.

Here, we have

y = x^2 and 2x + 3y = 15

Substitute y = x^2 in 2x + 3y = 15

2x + 3x^2 = 15

Rewrite as:

3x^2 + 2x - 15 = 0

Calculate the discriminant using

d =b^2 - 4ac

This gives

d = 2^2 - 4 * 3 * -15

Evaluate

d = 184

The discriminant d is greater than 0.

This means that the equation has 2 real solutions

Hence, there are 2 intersections between the railroad and the turnpike

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The scientific notation of 6.3 is written as 6.3 × 10^0; option A

Therefore, since there are only two significant number in 6.3, the decimal point can not be moved.

6.3 in scientific notation

= 6.3 × 10^0

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Answer: A

Explanation: 6.3 x 10^0