what is 2710 divided by 759?

The probability first year students who attend the college more than 4200 is equal to 0.9828.

Ideal size of University = 4200

Percent of student accepted the admission = 43percent

Number of students accepted = 9500

Use the binomial distribution,

Let us start by calculating the expected number of students who will attend,

Expected number of students attending 'μ'

= probability of attending × number of students accepted

= 0.43 * 9500

= 4085

σ = √np(1-p)

  = √9500 × 0.43 × 0.57

  = 48.25

Probability that more than 4200 students will attend.

z = ( X - μ )/σ

  = ( 4200 - 4085 )/ 48.25

  = 2.383

p value for 2.383 is 0.0172

1 - 0.0172 =0.9828

Probability of getting 4200 or fewer attending students is approximately 0.0172

Probability of getting more than 4200 students is,

P(X > 4200)

= 1 - P(X <= 4200)

= 1 - 0.0172

= 0.9828

Therefore, the probability that more than 4200 first-year students attend this college is approximately 0.9828 .

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Answer:

Step-by-step explanation:

The parenthesis can cancel because the lack of anything you can do in them, so that will leave you with 7m + 3 + 7m + 6

Next step is to add like numbers, you should start by adding 7m + 7m, which would be 14m.

Next would be to add 3 + 6, which is nine.

To end this equation, simply put 14m + 9

There is no one-number answer because we do not know what m is. So the equation 14m + 9 is the final answer.

The approximate value of the fifteenth term is 244.141 or it can also be written as 244 1/8.

The seventh term of a geometric sequence is 5 and the tenth term is 16.875. The given information shows that a=5 and a10=16.875.

We have to find a15. Since the sequence is geometric, therefore the common ratio (r) can be determined from this information as below; a10 = ar9 16.875 = 5r9 r = (16.875)/5r9 r = 1.25On substituting the values of a, r and n in the nth term formula of a geometric sequence,

we can determine the value of a15 as below; an = arn-1 a15 = 5 × (1.25)14 a15 = 244.140625So, the fifteenth term of the sequence is 244.140625 (approximately).

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hope you like my answer 15

A. The solution to the congruence 3x - 107 ≡ 0 (mod 12) is x ≡ 1 (mod 12).

B. The solution to the congruence 5x + 3 - 102 ≡ 0 (mod 7) is x ≡ 6 (mod 7).

C. The solution to the congruence 66 + 9 ≡ 0 (mod 11) is x ≡ 4 (mod 11).

To solve modulo equations or congruences, we need to find values of x that satisfy the given congruence.

A. For the congruence 3x - 107 ≡ 0 (mod 12), we want to find an x such that when 107 is subtracted from 3x, the result is divisible by 12. Adding 107 to both sides of the congruence, we get 3x ≡ 107 (mod 12). By observing the remainders of 107 when divided by 12, we see that 107 ≡ 11 (mod 12). Therefore, we can rewrite the congruence as 3x ≡ 11 (mod 12). To solve for x, we need to find a number that, when multiplied by 3, gives a remainder of 11 when divided by 12. It turns out that x ≡ 1 (mod 12) satisfies this condition.

B. In the congruence 5x + 3 - 102 ≡ 0 (mod 7), we want to find an x such that when 102 is subtracted from 5x + 3, the result is divisible by 7. Subtracting 3 from both sides of the congruence, we get 5x ≡ 99 (mod 7). Simplifying further, 99 ≡ 1 (mod 7). Hence, the congruence becomes 5x ≡ 1 (mod 7). To find x, we need to find a number that, when multiplied by 5, gives a remainder of 1 when divided by 7. It can be seen that x ≡ 6 (mod 7) satisfies this condition.

C. The congruence 66 + 9 ≡ 0 (mod 11) states that we need to find a value of x for which 66 + 9 is divisible by 11. Evaluating 66 + 9, we find that 66 + 9 ≡ 3 (mod 11). Hence, x ≡ 4 (mod 11) satisfies the given congruence.

Modulo arithmetic or congruences involve working with remainders when dividing numbers. In a congruence of the form a ≡ b (mod m), it means that a and b have the same remainder when divided by m. To solve modulo equations, we manipulate the equation to isolate x and determine the values of x that satisfy the congruence. By observing the patterns in remainders and using properties of modular arithmetic, we can find solutions to these equations.

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The standard form of the equation of an ellipse is (x-h)²/a² + (y-k)²/b² = 1, where (h,k) represents the center of the ellipse, "a" represents the semi-major axis, and "b" represents the semi-minor axis. To find the standard form of the equation, we need to determine the center and the lengths of the semi-major and semi-minor axes.

Given that the co-vertices are located at (-6,1) and (0,1), we can find the center by taking the average of the x-coordinates and the average of the y-coordinates. The center is thus ((-6+0)/2, (1+1)/2), which simplifies to (-3,1).

Next, we can determine the semi-major axis by finding the distance between the center and one of the co-vertices. In this case, the distance is |-3-(-6)| = 3 units.

To find the semi-minor axis, we need to determine the distance between the center and one of the foci. The distance between the center (-3,1) and one of the foci (-3,5) is |1-5| = 4 units.

Therefore, the standard form of the equation of the ellipse is (x+3)²/3² + (y-1)²/4² = 1.

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Answer:

59/6

Step-by-step explanation:

9x6=54

54+5= 59

put the denominator of the fraction to the denominator to the new fraction. I hope this helps.

Answer:

Step-by-step explanation:

Area = 3.14r^2

Area = 3.14(5)^2

Area = 3.14(25)

Area = 78.5

Answer:

x² +4x

Step-by-step explanation:

Area of triangle= ½ ×base ×height

Given: base= 2x, height= x +4

Area of triangle

= ½(2x)(x +4)

= x(x +4)

= x(x) +x(4) (expand)

= x² +4x

C. 6y and 2x

_____________________________

3x - 6y + 2x + 5y =

3x + 2x + 5y - 6y =

( 3 + 2 )x + ( 5 - 6 )y =

5x - y

To solve the quadratic equation \(2x^{2} +29x-6.1=0\) using the quadratic formula, we can use the equation. The solutions for the quadratic equation \(2x^{2} +29x-6.1=0\)using the quadratic formula are:

x = (-b ± \(\sqrt{b^{2}-4ac }\)) / (2a)

Given the coefficients:

a = 2

b = 29

c = -6.1

x = (-29 ± \(\sqrt{841+48.8}\)) / 4

x = (-29 ± \(\sqrt{889.8}\)) / 4

Calculating the square root:

x = (-29 ± 29.828) / 4

Now, let's calculate the two possible values for x:

x1 = (-29 + 29.828) / 4 ≈ 0.207 (rounded to three significant figures)

x2 = (-29 - 29.828) / 4 ≈ -14.957 (rounded to three significant figures)

Therefore, the solutions for the quadratic equation \(2x^{2} +29x-6.1=0\)using the quadratic formula are:

x ≈ 0.207 and x ≈ -14.957 (both rounded to three significant figures).

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Answer:

look at the photo..................

Answer:

1)42°

2)ABC=64°

Step-by-step explanation:

1)

48°+90°+A=180°

138°+A=180°

A=180°-138°

A=42°

2)

A=B

A+B+C=180°

2x+52°=180°

2x=128°

x=64°

Answers:

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

Explanation:

We have the function f(x) = 15000(0.84)^x. If we plug in x = 0, then we get,

f(x) = 15000(0.84)^x

f(0) = 15000(0.84)^0

f(0) = 15000(1)

f(0) = 15000

In the third step, I used the idea that any nonzero value to the power of 0 is always 1. The rule is x^0 = 1 for any nonzero x.

So that's how we get the initial value of the car. The car started off at $15,000.

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The growth or decay rate depends entirely on the base of the exponential, which is 0.84; compare it to 1+r and we see that 1+r = 0.84 solves to r = -0.16 which converts to -16%. The negative indicates the value is going down each year. So we have 16% decay or the value is going down 16% per year.

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

The value of x is the number of years. In the first section, x = 0 represented year 0 or the starting year. If x = 1, then one full year has passed by. For x = 2, we have two full years pass by, and so on.

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

The value of f(x) is the value of the car after x years have gone by. We found that f(x) = 15000 when x = 0. In other words, at the start the car is worth $15,000. Plugging in other x values leads to other f(x) values. For example, if x = 2, then you should find that f(x) = 10584. This means the car is worth $10,584 after two years.

Based on the information provided, we have a simple random sample of eight classes and their corresponding numbers of students. However, it is not clear what the numbers are or what the sample mean and sample standard deviation values are. Without this information, it is difficult to determine if it is appropriate to perform a hypothesis test about the population mean.

In general, when conducting hypothesis tests about the population mean, it is important to consider the sample size, the distribution of the data, and the assumptions of the test. For smaller sample sizes, it is typically recommended to have a normal distribution in the population or use statistical tests that are robust to violations of normality assumptions. In this case, it is mentioned that the sample size is small, but without further information about the distribution of the data or the specific hypothesis being tested, it is not possible to definitively determine if it is appropriate to perform a hypothesis test about the population mean.

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Answer:

C) ASA

Step-by-step explanation:

angles are indicated equal and they share the common diagonal between those angles, so ASA

The given two triangles are congruent due to the ASA postulate, which is the correct answer that would be an option (C).

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given triangles are given in the figure.

We can see that there are two angles that are the same and one side is the same.

According to ASA, two triangles are congruent if any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.

So, we conclude that the given two triangles are congruent.

Hence, the given two triangles are congruent due to the ASA postulate.

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Answer:

Step-by-step explanation:

Correct option is A)

The transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

From the question, we have the following parameters that can be used in our computation:

The functions f(x) and g(x)

Where, we have

f(x) = x²

The translation 6 units left and 4 units up means that

g(x) = f(x + 6) + 4

So, we have

g(x) = (x + 6)² + 4

This means that the transformation of f(x) to g(x) is g(x) = (x + 6)² + 4

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Answer:

This is my first question but I think it's c

Step-by-step explanation:

25,000-4334=20,666

20,666/2712=7.62 which rounds to 8

Answer:

b = -3

Step-by-step explanation:

1. Rearrange Terms

-3(3 + 6b) = 36 - 3b

-3(6b + 3) = 36 - 3b

2. Distribute

-3(6b + 3) = 36 - 3b

-18b - 9  = 36 - 3b

3. Rearrange Terms

-18b - 9  = 36 - 3b

-18b - 9 = -3b + 36

4. Add 9 to both sides

-18b - 9 = -3b + 36

-18b - 9 + 9 = -3b + 36 + 9

5. Simplify

-18b - 9 + 9 = -3b + 36 + 9

-18b = -3b + 45

6. Add 3b to both sides

-18b = -3b + 45

-18b +3b = -3b + 45 + 3b

7. Simplify

-15b = 45

8. Divide both sides by the same factor

-15b = 45

\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)

9. Simplify

b = -3

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

WWWWWW

Step-by-step explanation:

-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Answer:

0.5645

Step-by-step explanation:

De la pregunta anterior, se nos dan los siguientes valores para el equipo de Ludlow

Probabilidad de jugar de noche = 70% = 0.7

Probabilidad de ganar en la noche = 50% = 0.5

Probabilidad de jugar durante el día = 30% = 0.3

Probabilidad de ganar durante el día = 90% = 0.9

Probabilidad de que cuando ganaron ayer, el juego se jugó por la noche =

(Probabilidad de jugar de noche × Probabilidad de ganar de noche) ÷ [(Probabilidad de jugar de noche × Probabilidad de ganar de noche) + (Probabilidad de jugar de día × Probabilidad de ganar de día)]

Probabilidad de que cuando ganaron ayer, el juego se jugó de noche = (0.5 × 0.7) ÷ (0.5 × 0.7) + (0.9 × 0.3)

= 0.35 ÷ 0.35 + 0.27

= 0.35 ÷ 0.62

= 0.5645

La probabilidad de que el partido se haya jugado de noche = 0.5645

Answer:

5.32 kilograms

Step-by-step explanation:

350.00/65.75 = 5.323194

This is the simplified form of the expression.

2x^2 + 4x - 9y^2 - 4y

Simplifying:

3x^2 + 2y^2 - x^2 + 4x - 5y^2 - 4y

The process of simplifying an expression involves combining like terms and eliminating any unnecessary terms. In the given expression, we have multiple terms that have the same variable and exponent, these are called like terms. Like terms can be combined by adding or subtracting their coefficients.

In this case, we have 3x^2 and -x^2, the x^2 terms have the same exponent and variable so they can be added together by combining their coefficients (3-1) = 2x^2.

3x^2 - x^2 + 4x - 5y^2 - 4y + 2y^2

Similarly, we have -5y^2 and 2y^2, the y^2 terms have the same exponent and variable so they can be added together by combining their coefficients (-5+2) = -3y^2.

The x terms and y terms are separated and not interacting with each other, so we can't combine them. Finally, we have -4y and 4x, they are not like terms and can't be combined.

So, we have 2x^2 + 4x - 3y^2 - 4y as the simplified form of the expression.

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I only know that B is one of them. Can I still get brainliest please? I have none.

Answer:

x> 13

Step-by-step explanation:

x-4 >9

Add 4 to each side

x-4+4 >9+4

x> 13

The value of each pay check is $2,357.39.

The account balance would increase by the value of the pay checks and reduce by the value of the withdrawals

Account balance = +pay checks - withdrawals

$3012.10 = +3x  - $4,060.07

In order to determine the value of x, take the following steps:

Combine and add similar terms:

$3012.10 + $4,060.07 = 3x

$7,072.17 = 3x

Divide both sides of the equation by 3

x = $7,072.17 / 3

x = $2,357.39

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