What is |v + 81 – 5 = 2

a) The probability that student will graduate from the college chosen is 75%

b) The probability she went to Expanding University is 80%

The term probability refers the possibility of happening the particular event.

Here we have given that a large high school, the favorite colleges for students to go on to are Floral College, Expanding University, Disco Tech, and Reform Institute. Of the students who go to one of these, 40% go to Floral, 25% to Expanding, 20% to Disco, and 15% to reform. According to the records of those colleges, 75% of Floral entrants graduate, 60% of Expanding entrants graduate, 80% of Disco entrants graduate, and only 40% of Reform entrants graduate.

And we need to find the following.

a) The probability that student will graduate from the college chosen

Through the given question, we have identified the values as, the only college in the given list is Floral College that has the graduation percentage as 75%.

b) The probability she went to Expanding University,

Here we have identified that the probability given for Expanding university is 80%, so, the probability for she went to that particular 80%

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Answer:

1 in 3 chance

Step-by-step explanation:

Multiples of 3: 3, 6, 9, 12

This means there are 4 multiples.

4/12 or 4 ÷ 12 = 1/3

So there is a 1 in 3 chance (33.333%) to get a multiple of 3

Answer:

answer is 62+14÷2<100-82

========================================================

Explanation:

Let's start with the exterior angle 116 degrees.

The interior angle adjacent to this will add to 116 and we'll get 180

(interior angle) + (exterior angle) = 180

(angle VWX) + (angle VWY) = 180

(angle VWX) + (116) = 180

angle VWX = 180 - 116

angle VWX = 64

-----------------

Let's focus solely on the interior angles of triangle VWX

We found angle W to be 64. Angle X is given to be 44. Angle V is unknown, but we can solve for it like such

V+W+X = 180

V+64+44 = 180

V+108 = 180

V = 180-108

V = 72

--------------

The three interior angles of triangle VWX are:

V = 72

W = 64

X = 44

This will determine the order of the side lengths from smallest to largest. Recall that the smallest side of a triangle is always opposite the smallest angle. Similarly, the largest side is always opposite the largest angle.

Based on those V,W,X angle values, we know that

WX = longest side (since the angle opposite V = 72 is largest)

VW = shortest side (since X = 44 is the smallest angle and it is opposite VW)

The order of the sides is therefore:

VW < VX < WX

We don't involve point Y because it's not part of the triangle.

Check out the diagram below for a visual summary.

         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)

             Solve x²-5x+6

\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)

(x-2)(x-3)

\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Answer: 3,-2

Step-by-step explanation:

The area of the circular sector is given by:

Therefore:

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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The first time that Account X will have more money than Account W, excluding the initial deposits, is in the fifth month.

To determine when Account X will contain more money than Account W, we need to compare the balances of the two accounts each month until Account X surpasses Account W.

Let's analyze the balances of the two accounts month by month:

Month 1:

Account W: $0 + $100 = $100

Account X: $1 + 80% × $1 = $1 + $0.80 = $1.80

Month 2:

Account W: $100 + $100 = $200

Account X: $1.80 + 80% × $1.80 = $1.80 + $1.44 = $3.24

Month 3:

Account W: $200 + $100 = $300

Account X: $3.24 + 80% × $3.24 = $3.24 + $2.592 = $5.832

Month 4:

Account W: $300 + $100 = $400

Account X: $5.832 + 80% × $5.832 = $5.832 + $4.6656 = $10.4976

Month 5:

Account W: $400 + $100 = $500

Account X: $10.4976 + 80% × $10.4976 = $10.4976 + $8.39808 = $18.89568

Please note that the values provided in this calculation assume no withdrawals and no interest earned on the balances.

As we can see, by the fifth month, Account X will contain more money than Account W. The first time that Account X will have more money than Account W, excluding the initial deposits, is in the fifth month.

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Answer:

Here is the answer

Step-by-step explanation:

If 40% of the students in the class are female, then there are 40/100 * 120 = 48 female students.

If 70 male students passed with a 100% pass rate, then the pass rate for male students is 100%.

If the pass rate for male students is 100%, then the pass rate for female students must also be 100%. This is because the pass rate is calculated as the number of students who pass divided by the total number of students, and if all the male students pass, then the pass rate for male students must be 100%.

Therefore, the pass rate for female students at a 100% rate is also 100%.

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

The correct statements regarding the transformations are given as follows:

Examples of transformations are given as follows:

Parallel lines are lines that have the same slope, that is, lines that do not intercept, and the transformations do not change whether the lines are parallel or not.

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Answer:

To find the resultant of two forces, you can use the following formula:

R^2 = F1^2 + F2^2 + 2F1F2cosθ

Where R is the resultant force, F1 and F2 are the magnitudes of the two forces, θ is the angle between the two forces, and cosθ is the cosine of the angle.

Plugging in the given values, we get:

R^2 = (500 kg)^2 + (875 kg)^2 + 2(500 kg)(875 kg)cos(100 deg)

R^2 = 250000 + 765625 + 767321.98

R^2 = 1788946.98

R = sqrt(1788946.98) ≈ 1337.3 kg

So the magnitude of the resultant force is approximately 1337.3 kg.

To find the angle that the resultant force makes with the smaller force, we can use the following formula:

tanθ = (F2sinθ)/(F1 + F2cosθ)

Where θ is the angle between the resultant force and the smaller force.

Plugging in the given values, we get:

tanθ = (875 kg sin(100 deg))/(500 kg + 875 kg cos(100 deg))

tanθ = 0.768

θ = tan^-1(0.768) ≈ 36.2 deg

So the angle that the resultant force makes with the smaller force is approximately 36.2 degrees.

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Answer:

Step-by-step explanation:

A)

(22+12)/2 = [17]                 (12+17)/2 = [14.5]                 (17+14.5)/2 = [15.75]

B)

(10.5*2) - 5 = [16] ......... NOT 13

1. The  Complete Sequence is 2, 22, 12, 17, 14.5, 15.75.

2. The second term is 16.

A grouping of numbers in a specific order is known as a sequence. On the other hand, a series is described as the accumulation of a sequence's constituent parts.

Given:

1. 2  22  12   _  _  _

So, the rule is ( sum of consecutive terms) /2

Then, the fourth term is

= (22+12)/2

= 17

and, fifth term is

=(12+17)/2

= 14.5

and, sixth term is

= (17+14.5)/2

= 15.75

So, the Complete Sequence is 2, 22, 12, 17, 14.5, 15.75

2. First term =5 and 3rd term = 10.5

Again, third term = ( 5 + x ) /2

21 = 5 + x

x = 16

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Answer:

\(21.7 x 10^5\)

Step-by-step explanation:

(6.2 x 10²) x (3.5 x 10³)

First, multiply the coefficients: 6.2 x 3.5 = 21.7.

Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.

Therefore, the result is 21.7 x 10^5.

Answer:

3286000

Step-by-step explanation:

Step-by-step explanation:

Charges per page = $0.08

Amount Lionel paid = $20.00

No of pages = 20 ÷ 0.08 = 250 pages

Answer:

250 pages

Step-by-step explanation:

Number of photocopies = Total amount÷ cost per page

                                        \(=\frac{20}{0.08}\\\\= 250\)

The shape that we obtained will be a triangle. Then the correct option is E.

In terms of geometry, a pyramid is a polygon that is created by joining an apex and a polygonal base. A triangle known as a lateral face is formed by each base edge and apex. It has a polygonal basis and is a conic solid. There are n + 1 points, n + 1 sides, and 2n edges in a pyramid with an n-sided base. Every pyramid is dual in itself.

If the base of the pyramid is a rectangle then the pyramid is known as a rectangular pyramid.

If the pyramid is separated by slicing a rectangular pyramid perpendicular to its base. Then the shape that we obtained will be a triangle.

Then the correct option is E.

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Answer:

E. 15

Step-by-step explanation:

Use the Pythagorean theorem: a²+b²=c²

Answer:

Step-by-step explanation:

15

Answer:

AC

Step-by-step explanation:

The diameter of the circle is the length of a line that goes through the center and touches two points on the circle.

Therefore, AC is the correct answer because it is a straight line that goes through the center.

I hope this helped! :)

Answer:

AC is a diameter

Step-by-step explanation:

N/A

Answer:

3,075

Step-by-step explanation:

The area of the triangle for which the perimeter is 36 centimeters and the length of the sides are 8 cm and 12 cm, found using the Heron's formula is 12·√(15) square centimeters.

Heron's formula is a formula for finding the area of a triangle which is credited to Heron of Alexandra.

The length of the third side is therefore;

36 cm - 8 cm - 12 cm = 16 cm

Heron's formula for finding the area of a triangle can be presented as follows;

Area = √(s·(s - a)·(s - b)·(s - c))

Where;

s = The semi–perimeter of the triangle = P/2

Therefore, s = (36 cm)/2 = 18 cm

a, b, and c = The lengths of the sides of the triangle

Let a represent the 8 cm side, b represent the 12 cm side and let c represent the 16 cm side, we get;

Area = √(18×(18 - 8)×(18 - 12)×(18 - 16)) = √(18 × 10 × 6 × 2) = 12·√(15)

The area of the triangle = 12·√(15) cm²

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Using combinatorial reasoning, the expression of\((x y)5 is x^5y^5 + 5x^4y^6 + 10x^3y^7 + 10x^2y^8 + 5xy^9 + y^10\). Using the binomial theorem, it is\(1x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5\).

a) Combinatorial reasoning involves breaking the expression down into different combinations of x and y, and then multiplying each combination. In this case, (x y)5 can be broken down into

\(x^5y^0 + x^4y^1 + x^3y^2 + x^2y^3 + x^1y^4 + x^0y^5\),

and the coefficient of each term is the number of ways that combination can be derived from the expression. For example, there are 5 ways to arrange the combination \(x^4y^1\), so its coefficient is 5. When the coefficients are multiplied with the combinations, they become

\(5x^4y^1 + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5\),

which is the expansion of (x y)5.

b) The binomial theorem states that for any expression of the form \((x + y)^n\), the expansion can be found by multiplying the term\(x^n\)with the coefficient of each term in Pascal’s triangle. For example, for\((x + y)^5\), the coefficient of\(x^5\) is 1, the coefficient of\(x^4y\)is 5, the coefficient of\(x^3y^2\)is 10, the coefficient of \(x^2y^3\)is 10, the coefficient of\(x^1y^4 is 5\), and the coefficient of\(y^5\)is 1. Thus, the expansion of \((x + y)^5 is 1x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5.\)

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Answer:

6 hours

The difference between the ratio numbers is 8-3 = 5. That corresponds to the 10-hour difference between training hours and pizza-eating hours. Thus, each ratio unit stands for 2 hours. The 3 ratio units spent eating pizza stand for ...

3×2 hours = 6 hours eating pizza

Step-by-step explanation:Hopefully this helped, if not HMU and I will get u a better answer!

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The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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Factories produce a total of 21550 gallons in a calendar year.

The gallon is used as a unit of volume in both imperial and US customary measurements.

Eight pints make up a gallon, which is a unit of measurement for liquids. It is equivalent to roughly 4.546 litres in Britain. It is roughly equivalent to 3.785 litres in America.

Lemonade, it has been stated, equals 11,650 gallons.

Lemonade = 4,950 fewer than ice tea.

Ice tea: 3,500 fewer than Root beer.

Using the formula Ice tea = 11,650 - 4,950

6700 gallons of iced tea

Root beer = 6700 - 3,500

3200 gallons equals root beer.

Total manufacturing output for a year is equal to 11,650 + 6700 + 3200

Thus, 21550 gallons are produced in total by factories each year.

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Answer:

It would be Ryan

Step-by-step explanation:

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8