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? ​

Answers

Answer 1

Answer:

the probability that the student is a hostlier is 0.6923

Step-by-step explanation:

The computation of the probability that the student is a hostlier is shown below

= (0.60 × 0.30) ÷ (0.60 × 0.30) + (0.40 × 0.20)

= (0.18) ÷ (0.18 + 0.8)

= (0.18) ÷ (0.26)

= 0.6923

Hence the probability that the student is a hostlier is 0.6923

Answer 2

Answer:

Step-by-step explanation:


Related Questions

2y+x+4z + 3x +9y+ 3z

Answers

2y+9y+x+3x+4y+3y

11y+4x+7z

11y+4x+7z
not sure what the question is but my guess is add the like terms together

The slope of the normal curve y=3x^2-5x is at the point (0,0)

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

Consider the curve [tex]y=3x^2-5x[/tex]

Differentiate with respect to [tex]x[/tex]

[tex]\frac{dy}{dx} =3(2x)-5=6x-5[/tex]

( Use [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex] )

Slope of normal curve is given by [tex]\frac{-1}{\frac{dy}{dx} }[/tex]

Slope of normal curve = [tex]\frac{-1}{6x-5}[/tex]

To find slope of normal curve at point [tex](0,0)[/tex] ,put [tex]x=0[/tex] in [tex]\frac{-1}{6x-5}[/tex]

Slope of normal curve at point [tex](0,0)[/tex] = [tex]\frac{-1}{6(0)-5} =\frac{-1}{-5}=\frac{1}{5}[/tex]

How is a decimal changed into a percent?
Divide by 100 and add a percent sign.
Move the decimal two places to the right, multiply by 100 and then add a percent sign.
Move the decimal two places to the right and add a percent sign.
Move the decimal two places to the left and add a percent sign.

Answers

Answer:

Move the decimal two places to the right and add a percent sign.

Step-by-step explanation:

.15= 15%

1.25= 125%

.06= 6.0, or 6%

Answer:

To convert a percent to a decimal, we move the decimal point 2 places to the left, just as we did when we were dividing by 100.

Step-by-step explanation:

what is the y intercept of this line​

Answers

Answer:1

Step-by-step explanation:

How Do You Find the X- and Y-Intercepts of a Line in Slope-Intercept Form? To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. The Y-Intercept of a line is the point where a line's graph intersects (crosses) the Y-axis. A y-intercept of 3 means that a line's graph intersects the Y-axis at the point (0, 3). A y-intercept of -4 means that the graph of a line crosses the Y-axis at the point (0, -4).

The value of cos47° is equal to​

Answers

Answer:

Decimal form = 0.68199836

Help please I suck at math

Answers

Answer:

1 biodata is on my class then you will contact or person

Answer:

hey

Step-by-step explanation:

52.76= 52+0.7+____

i hate this app a bit

Answers

Answer:

52.76= 52+0.7+52.76

Step-by-step explanation:

Mary has 10/12 of ube cake she shared 7/12 to ana. what part of cake was left to mary?​

Answers

Answer:

3/12

Step-by-step explanation:

10-7 is 3, so its 3/12.

A sine function has the following key features: Period = 4pi Amplitude = 2 Midline: y = 3 y-intercept: (0, 3) The function is a reflection of its parent function over the x-axis.

did I get this right?

Answers

The sine function is:

f(x) = -2*sin(x/2) + 3.

So you got it almost correctly, you only forgot to apply the reflection.

How to get the sine function?

We start with the general sine function:

[tex]a*g(w*x + p) +m[/tex]

where g(x) = sin(x)

a is the amplitude, which we know is equal to 2.w depends on the period.M is the midline, which we know is equal to 3.p is the phase shift, because the y-intercept is (0, 3) we know that:

f(0) = 2*sin(w*0 + p) + 3 = 3

      = 2*sin(p) + 3 = 3

Then we must have p = 0, so there is no phase shift.

We also know that we have a reflection over the x-axis of the parent sine function, we would actually have:

f(x) = 2*-sin(wx) + 3

Finally, to get the value of k we know that the period of the general sine function is 2*pi, while here is 4*pi, then we must have w = 1/2 to get the correspondent correction, so the function is:

f(x) = -2*sin(x/2) + 3.

This is almost the same thing that you got in the graph, where you only forgot to apply the reflection over the x-axis of the parent function.

If you want to learn more about sinusoidal functions, you can read:

https://brainly.com/question/18055768

Answer:

I know this is a year late, but I took this test it was quite challenging so here is my answer for you I took a picture of the graph because it's hard to graph without any reference pictures

hope this helps

6. Select all the inequalities that have the same solutions as -4x < 20.
A. -x > 5
B. 4x > -20
C. $4x
D. $x
E. x > 5
F. x > -5

(From Unit 6, Lesson 13.)

Answers

Answer:

F and B (as far as I can see).

Step-by-step explanation:

First, let's simplify the equation. You can easily do this by dividing by -4.

                                                  -4x < 20

                                                   /-4    /-4

                                                      x > -5

REMEMBER- Whenever dividing or multiplying a negative number with inequalities, the sign flips!!

On A, we can see that it has a negative symbol, but if we were to divide that, the sign would flip, making -5 greater than x. That's not what we want.

On B, the 20 is negative instead of the 4. Does this change anything?

                                                   4x > -20

                                                   /4    /4

                                                      x > -5

Nope! It still simplifies to what we had at the beginning so it works!

C and D are slightly confusing me because, well, I don't really see how it's relevant to anything so... It doesn't even have a inequality symbol so I don't know lol.

E is wrong because we need the 5 to be positive.

F is obviously right compared to our first answer.

Answer: F, b, a

Step-by-step explanation:

you deposit $1,300 in an account that pays 4% interest compounded yearly find the Balance after 3 years​

Answers

Answer:In 3 years, you will have $1,462.32

Step-by-step explanation:

A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
for a random sample to obtain a margin of error of at most 0.05 with 90% confidence?
A.236
B.271
C.335
D.578

Answers

Answer:

Step-by-step explanation:

236, did on edge

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(1.08)^x

Answers

Answer:

It represents growth, and the percentage rate of increase is of 8%

Step-by-step explanation:

Exponential equation:

An exponential equation has the following format:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.

In this question:

[tex]y = 21(1.08)^x[/tex]

So

[tex]1 + r = 1.08[/tex]

[tex]r = 0.08[/tex]

Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%

The mean monthly temperature for the year 1900 is 53.75. The Mean Absolute Deviation for the temperatures in 1900 is approximately 15 degrees The mean monthly temperature for the year 2017 is 56.25 degrees. The Mean Absolute Deviation for the temperatures in 2017 is 13.7 Is there a meaningful difference between the two mean monthly temperatures? Your answer must reference the number of MADs that separate the two means.

Answers

Answer:

the mean is 4.86 & the mad is 1.91 hope this helped you and pls give me the Brainly crown

Step-by-step explanation:

Between 8:00 a.m. and 9:00 a.m., the temperature rose 2 degrees. Every hour after that, the temperature rose 3 degrees. At 12:00p.m., the temperature was 72°F. What was the temperature at 8:00 p.m.?

Answers

72-3=69-3=66-3=63-2= 61°???

Find the slope of the line.
Y=5/3x

Answers

Answer:

[tex] \frac{5}{3} [/tex]

~ See attatchment

Step-by-step explanation:

I'm unsure what you want me to do here, so I drew a graph (using Desmos) and the slope.

The slope is given, 5/3. The slope-intercept equation is usually y = mx + b -- m being the slope and b being the y-intercept.

Hi!

Let's check if the equation that we're going to work with is in slope-intercept form.

Remember, the slope-intercept formula is:

                                   [tex]\diamondsuit~~~\boldsymbol{y=mx+b}[/tex]

Where:

m -> Slopeb -> Y-intercept

Details:

[tex]\boxed{\\\begin{minipage} {8cm}\sf{Slope = coefficient \ of \ x, \ or \ the \ number \ before \ x.}\\\sf{Y-intercept = \ a \ number \ added \ to \ or \ subtracted \ from \ the \ slope.} \end{minipage}}[/tex]

Therefore:

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Slope:}\quad\boldsymbol{\displaystyle\frac{5}{3}}}}}[/tex]

I hope I helped, have a wonderful day!

If you need any explanation or clarification, reach out to me, I'm always happy to help. :D

At Walmart there is a jacket for $75, you have a coupon for 30% off. How much is the price of the jacket after the sale? How much was saved?

Answers

Answer:

Price after sale = $52.5

Amount saved = $22.5

Step-by-step explanation:

Cost of Jacket - $75

Percentage off = 30%

Discount price = 30% of $75

Discount price = 0.3 * 75

Discount price = $22.5

Price after sale = Original cost - Discount price

Price after sale = 75-22.5

Price after sale = $52.5

The amount saved = 75 - 52.5

The amount saved = $22.5

A rectangular gift box has dimensions that can be represented as shown in the figure. The volume of the box is 56w cubic inches. Which of the following is not a dimension of the box?

Answers

The dimension of the box is 12 by 7 by 8

How to calculate the volme of  a box

The volume of the box = lwh

Given the following

l = w

w = w - 5

h = w - 4

Hence;

w(w-5)(w-4) = 56w

Expand to have

(w^2-5w)(w-4) = 56w
w^3 - 4w^2 - 5w^2 + 20w = 56w
w^3 -9w^2 - 36w = 0

Factorize to get the value of w;

w(w^2-9w-36)=0

w^2 - 12w + 3w - 36 = 0

w(w-12) + 3(w-12)= 0
w = -3 and 12

Hence the dimension of the box is 12 by 7 by 8

Learn more on volume of box here: https://brainly.com/question/15532376

Bob gets the following homework grades:

2, 2, 2, 2, 2, 10, 10, 10, 10, 10.

Tom gets the following homework grades:
7, 7, 7, 7, 7, 7, 7, 7, 7, 7

Pat gets the following homework grades:

1, 1, 8, 8, 8, 8, 8, 8, 10, 10

Required:
Find the mean homework grade for each student, find the median homework grade for each student, and ESTIMATE the standard deviation for each student.

Answers

Step-by-step explanation:

for bob;

his grades = 2, 2, 2, 2, 2, 10, 10, 10, 10, 10.

total = 60

mean = total/n

= 60/10 = 6

meadian is the middle value in the set of scores. the numbers are even so =

2+10 / 2

median = 12/2 = 6

standard deviation using excel = 4.216

for tom

7, 7, 7, 7, 7, 7, 7, 7, 7, 7

total = 70

mean = 70/10 = 7

median = 7+7/2 = 14/2 = 7

standard deviation using excel = 0

for pat:

1, 1, 8, 8, 8, 8, 8, 8, 10, 10

total = 70

mean = 70/10 = 7

median   =  8+8/2 = 16/2 = 8

standard deviation using excel = 3.265

Rearrange b = c + xd to make x the subject of the formula.​

Answers

Answer: x = (b-c)/d

Step-by-step explanation:

xd + c = b

xd = b-c

x = b-c/d

find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=5.

Answers

Answer:56

Step-by-step explanation:

Helpp!! Show all work!!

Answers

Answer:

x = 13, and y = 32.5

Step-by-step explanation:

A parallelogram's angles will all have to add up to 360 degrees.

We can count 55° and 60° twice, because of the interior angle rule.

So:

2 (55 + 60)

360 - 230 = 130

So:

5x = 2y = 65

130 ÷ 2 = 65

5x = 65

x = 65 / 5

x = 13

2y = 65

y = 65 / 2

y = 32.5

What is the slope of the person who types words faster words (greater slope) per minute? (type just the number).

Answers

i think it is 82 but i could be wrong

five times a certain number plus 5 is 45​

Answers

Answer:

8

Step-by-step explanation:

8x5=40 + 5 = 45

That's the answer

Answer:

8.

Step-by-step explanation:

five times 8 is 40. add five is 45.

ABC is a triangle.
Work out the size of the angle marked p.

Answers

Answer:

p= angle180_(50+70)

p=180_120

angle p=60

How to understand the area of triangles using height and base

Answers

The area of a triangle is 1/2 x base x height.

When you know the base and the height of a triangle, multiply them together, than multiply by 1/2 ( this is the same as dividing it by 2).

Answer:

Base times height divided by 2 = area.

i got 10.6 am i wrong?

Answers

Answer:

15.3

Step-by-step explanation:

because 15 is the number I think

Can you simplify 7/6

Answers

Answer:

76 is already in the simplest form. It can be written as 1.166667 in decimal form (rounded to 6 decimal places).

You are the only bidder in an online auction of a nintendo wii system with games and accessories. The seller has set a secret reserve price (the minimum price she is willing to accept for the wii). Assume that the secret reserve price x is uniformally distributed between $240 and $320.1) Height of the probability density function f(x) varies with x as follows (round to four decimal places). 240 ≥ x ≥ 3202) You enter a bid of $280 for the wii. What is the probability that you'll win the auction?3) What is the mean secret reserve price?4) What is the standard deviation of the above question?5) You enter your bid of $280 and see that the seller's reserve price has not been met. You enter a new bit of $300. Now what is the probability that you'll win the auction?

Answers

Answer:

1. 1/80 = 0.0125

2. 1/2 = 0.5

3. 280

4. 23.09

5. 1/2 = 0.5

Step-by-step explanation:

1. height of probability density function

[tex]\frac{1}{320-240} \\= \frac{1}{80}[/tex]

= 0.0125

2. probabilty that you will win the auction given a bid of 280

= [tex]\frac{280-240}{320-240} \\=\frac{40}{80} \\= \frac{1}{2}[/tex]

3. mean secret service price

[tex]\frac{320+240}{2} \\=\frac{560}{2} \\= 280[/tex]

4. the standard deviation of the above

= (320-240)/12^1/2

= 23.09

5. with a new bid of 300 dollars, probability you will win auction

= [(300-280)/(320-240)]/[(320-280)/(320-240)

= (20/80) / (40 /80)

= 0.25/0.5

= 0.5

PLEASE HELP 2O POINTS

What function is graphed below



y = x - 3
y = 3x
y = - 1
y = x + 3

Answers

Answer:

the answer is the third one :)

Step-by-step explanation:

Answer:

number 3

Step-by-step explanation:

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