Of the students in the college, 60% of the students reside in the hostel and 40% of the students are day scholars. Previous year result reports that 30% of all students who stay in the hostel scored A Grade and 20% of day scholars scored A grade. At the end of the year, one student is chosen at random and found that he/she has an A grade. What is the probability that the student is a hostlier?

Answer:

4x^3+6x^2-15x+6

Step-by-step explanation:

Answer:

[tex]4x^2 + 6x^2 - 15x + 5[/tex]

Step-by-step explanation:

Hello!

We can add like terms.

The terms that we see here are [tex]x^3, x^2, x,[/tex] and integer values.

We can combine like terms by adding the coefficients.

Order: Highest degree to lowest degree. The final expression is [tex]4x^2 + 6x^2 - 15x + 5[/tex]

Answer:

they give us a sense of where a score falls in relation to the mean of its population (in terms of standard deviation of its population), 2) they allow us to compare scores from different distributions, and 3) they can be transformed into percentiles.

Step-by-step explanation:

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)

1) Plug the given slope 5 into the equation

[tex]y=mx+b\\y=5x+b[/tex]

2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)

[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

3) Plug the y-intercept back into the equation

[tex]y=5x+3[/tex]

I hope this helps!

Answer:

∅ = 22.33°

Step-by-step explanation:

tan 28° = h/15

0.5317 = h/15

h = 7.98

sin ∅ = h/21

sin ∅ = 7.98/21

sin ∅ = 0.38

∅ = 22.33°

Answer:

C. x =(1±i√11)/3

Step-by-step explanation:

Use the quadratic formula to find the solutions.

(−b±√b²−4(ac))/2a

Substitute the values a=3, b=−2, and c=4 into the quadratic formula and solve for x.

2±√(−2)²−4⋅(3⋅4)2⋅3

Simplify.

x=(1±i√11)3

Answer:

480 students are transported to school each day.

Step-by-step explanation:

Since there are 12 buses and each one of them transports 40 students that means that the total amount of students will be equal to...

12 x 40 = 480

Answer:

Step-by-step explanation:

Ratio = 3 : 2

Length =3x

Width = 2x

Perimeter = 50 inches

2*(length + width ) = 50

2* (3x + 2x ) = 50

       2* 5x    = 50

               10x = 50

                  x = 50/10

x = 5

Length = 3*5 = 15 inches

Width = 2*5   =  10 inches

Answer:

b

Step-by-step explanation:

Answer:

forstone

Step-by-step explanation:

sike I lied I dont know this RESPECTFULYY!!

9514 1404 393

Answer:

  52°, 40°, 88°

Step-by-step explanation:

Let x represent "one angle". This is 30% larger than "the other", so we have ...

  x = "the other" × (1 +30%)

  x/1.30 = "the other"

If x is 36° smaller than the third, then the third is x+36.

__

The sum of the angles is 180°.

  x + x/1.3 + (x +36) = 180

  x(2 +1/1.3) = 144

  x = 144/(2 +1/1.3) = 52

  x/1.3 = 52/1.3 = 40

  x +36 = 88

The angles of the triangle are 52°, 40°, and 88°.

Answer:

p=4

p=9

Step-by-step explanation:

Answer:

-2x - 8 < 2

-2x < 10

x > -5

Answer 34 square inches

Step-by-step explanation 2+2+2+4+4+9+9

Answer:

C

Step-by-step explanation:

We want to simplify the rational expression:

[tex]\displaystyle \frac{n^4-11n^2+30}{n^4-7n^2+10}[/tex]

First, we can factor both the numerator and the denominator. This yields:

[tex]\displaystyle =\frac{(n^2-6)(n^2-5)}{(n^2-2)(n^2-5)}[/tex]

Cancel like terms:

[tex]\displaystyle =\frac{(n^2-6)}{(n^2-2)}[/tex]

However, since we canceled a term from our expression, we must place restrictions in order to stay true to the original expression.

Rational expressions are undefined whenever the denominator equals 0. The denominator is (before canceling):

[tex](n^2-2)(n^2-5)=0[/tex]

Solve for n. By the zero product property:

[tex]n^2-2=0\text{ and } n^2-5=0[/tex]

Therefore:

[tex]n^2=2\text{ and } n^2=5[/tex]

By taking the square root of both sides (since we are taking an even root, it is required to have plus/minus):

[tex]n=\pm\sqrt{2}\text{ and } n=\pm\sqrt5[/tex]

Therefore, our fully simplified expression is:

[tex]\displaystyle \frac{n^2-6}{n^2-2}\, ,n\neq \pm\sqrt5, \pm\sqrt2[/tex]

Hence, our answer is C!

Answer:

2x²+14x+20

Step-by-step explanation:

Answer:

2h + 10

Step-by-step explanation:

The question gives one the height of Tree A (8h - 1) and the height of Tree B (6h - 11). The problem asks one to find how much taller Tree A is than Tree B. This problem can be modeled using a simple subtraction problem, the height of Tree A, minus the height of Tree B. Remember to distribute the subtraction sign outside of the parenthesis, and only combine like terms;

(Tree A) - (Tree B)

= (8h - 1) - (6h - 11)

= 8h - 1 - 6h + 11

= 2h + 10

Since there was no numerical value given for the variable (h), nor any value which this expression is equal, the final answer is (2h + 10).

Answer:

Step-by-step explanation:

y = -3(x-3)^2 + 4

Answer:

Step-by-step explanation:

They are the same angle in the obtuse triangle and same points but mixed up proof: you can highlight the lines and make points for the letters w x and y hope this helps :)

Answer: Reflection about the y-axis is according to the rule

(x,y)->(-x,y)

Therefore F(x,y) -> F'(-x,y)

The distance between F' and F is (-x,y)-(x,y)=-2x, or the positive distance is 2x.

Step-by-step explanation:

Answer:

The value of an exterior angle is the sum of the two interior angles not adjacent to it so

a:

x = 64 + 45 = [tex]\boxed{109}[/tex]

b:

3x + 6 = 153 so

3x = 147 so

x = [tex]\boxed[/tex][tex]\boxed{49}[/tex]

Answer:

0.2

Step-by-step explanation:

1 divided by 5

2/5=0.4

3/5=0.6

4/5=0.8

5/5=1

Answer:

47(whatever the unit is square)

Step-by-step explanation:

Answer:

multi media is the computer system that has graphics, animation, text, video , etc

Given :

John can play 12 songs on his guitar but learns 1 new song every week. Aiden can play 4 songs but learns 2 every week.

To Find :

How many weeks will it be before Aiden knows as many songs as john?

Solution :

Let, after x weeks Aiden know a songs and John know j songs.

The linear equation for both the situation is :

a = x + 12       .....( For Aiden )

j = 2x + 4       ......( For John )

We need to find in which week Aiden knows as many songs as John.

For this , a = j

x + 12 = 2x + 4

x = 8

Therefore, in 8th week both of them know the same number of songs.

Answer:

it is B = 470

Step-by-step explanation:

720 - 250 = 470

Answer:

It's y

Step-by-step explanation:

Answer:the existence of an association does not empty a causation

Step-by-step explanation:

a direct casual link cannot be inferred the association merely suggests a hypothesis such as a commom cause but does not offer proof