In a survey of 15000 students of different schools, 40% of them were found to have tuition before the see examination. Among them 50% studied only mathematics ,30% only science and 10% studied others subject. how many student studied mathematics as well as science. ​

Answers

Answer 1

Answer: 600 students.

Step-by-step explanation:

Ok, we start with 15,000 students.

40% of them had tuition, so the actual number of them that had tuition is:

15,000*0.40 = 6,000.

Now we want to find the number of students that studied math and science.

50% only studied math,

30% only studied science

10% studied other subjects.

So 50% + 30% + 10% did NOT studied both math and science

90% is the percentage that did not study math and mathematics as well as science, then the other 10% did.

Then, out of the 6,000 students that had tuition, 10% studied math and science, the total number is:

6,000*0.10 = 600


Related Questions

is this a function {(-2, 6), (-3, 7), (-4, 8), (-3, 10)}

Answers

No, that is not a function.

To be a function, each different input (x) needs a different output (y)

In the given function there are two -3’s as inputs and they have different y values, so it can’t be a function.

Answer: no

Step-by-step explanation: To determine if a relation is a function, take a look at the x–coordinate of each ordered pair. If the x–coordinate is different in each ordered pair, then the relation is a function.

Note that the only exception to this would be that if the x-coordinate pairs up with the same y-coordinate in a relation more than once, it's still classified ad a function.

Ask yourself, do any of the ordered pairs

in this relation have the same x-coordinate?

Well by looking at this relation, we can see that two

of the ordered pairs have the same x-coordinate.

In this case, the x-coordinate of 3 appears twice.

So no, this relation is not a function.

Which equation has no solution?

Answers

Answer:

number 3

Step-by-step explanation:

Rewrite to make true: There are five terms in the series (attached)

Answers

Answer:

There are six terms in the series

Step-by-step explanation:

We can see that n starts from 0, and ends at 5. There are therefore 6 terms in this series - as 0 is included. Therefore there will be 6 terms in this series, not 5.

There are six terms in the given series.

In the year 2010, 148 million Americans will be enrolled in an HMOt is the sum of the geometric series ? Is this descriptive or inflectional statistics

Answers

Answer:

His own problem to his explanation

On a coordinate plane, line P Q goes through (negative 6, 4) and (4, negative 4). Point R On a coordinate plane, a line goes through (negative 4, 0) and (4, negative 4). A point is at (2, 3). What is the equation of the line that is parallel to the given line and passes through the point (2, 3)? x + 2y = 4 x + 2y = 8 2x + y = 4 2x + y = 8

Answers

Answer:

x + 2y = 8.

Step-by-step explanation:

Line goes through (-4, 0) and (4, -4).

The slope is (-4 - 0) / (4 - -4) = -4 / (4 + 4) = -4 / 8 = -1/2.

Since we are looking for the equation of the line parallel to that line, the slope will be the same.

We have an equation of y = -1/2x + b. We have a point at (2, 3). We can then say that y = 3 when x = 2.

3 = (-1/2) * 2 + b

b - 1 = 3

b = 4.

So, we have y = -1/2x + 4.

1/2x + y = 4

x + 2y = 8.

Hope this helps!

ANSWEAr

x + 2y = 8

because it is

Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.
a^2-2a-224=0

Answers

Answer:

{-14, 16}

Step-by-step explanation:

The coefficients of this quadratic are a = 1, b = -2 and c = -224.

Thus, the discriminant is b^2 - 4ac, or (-2)^2 - 4(1)(-224), or 900, whose square root is 30.

Thus, the roots (solutions) are

      -(-2) ± 30

x = -----------------  =  {-14, 16}

             2

The mouse weights​ (in grams) of a random sample of 100 mice involved in a nutrition experiment​ are: Interval 41.5----43.5 43.5-----45.5 45.5------47.5 47.5--------49.5 49.5--------51.5 51.5----53.5 53.5----55.5 55.5---- 57.5 57.5--------59.5 Frequency Interval 3 7 13 24 15 16 13 7 2Required:a. Find the mean of the weight of the mice. (Round to two decimal places.)b. Find the standard deviation of the weight of the mice. (Round to two decimal places.)

Answers

Answer:

(a) The mean of the weight of the mice is 50.26 grams.

(b) The standard deviation of the weight of the mice is 14.08 grams.

Step-by-step explanation:

(a)

The mean is given as follows:

[tex]\bar X=\frac{\sum f_{i}x_{i}}{\sum f_{i}}[/tex]

    [tex]=\frac{5026}{100}\\\\=50.26[/tex]

Thus, the mean of the weight of the mice is 50.26 grams.

(b)

Compute the standard deviation as follows:

[tex]s=\frac{1}{\sum f_{i}-1}[\sum f_{i}x_{i}^{2}-\frac{1}{\sum f_{i}}(\sum f_{i}x_{i})^{2}][/tex]

  [tex]=\frac{1}{100-1}[254001-\frac{1}{100}(5026)^{2}]\\\\=\frac{1}{99}\times 1394.24\\\\=14.08323\\\\\approx 14.08[/tex]

Thus, the standard deviation of the weight of the mice is 14.08 grams.

Help me please thank you

Answers

Answer:

x = 7

Step-by-step explanation:

The angles are alternate interior angles, so for the lines to be parallel, the angle measures must be equal.

7x - 7 = 4x + 14

3x = 21

x = 7

The Masmim family’s monthly budget is shown in the circle graph provided in the image. The family has a current monthly income of $5,000. How much money do they spend on food each month? A. $250 B. $500 C. $750 D. $1,100 Please include ALL work! <3

Answers

The correct answer is $750

Explanation:

The total of food the Masmin family spend according to the graph is 15%. Now, to know the amount of money this represents, it is necessary to find the 15% of $5000, which is the total budget. The steps to do this are shown below.

1. To calculate the percentage of a given number, first, write all values

5000 = 100%

 x       =  15%

2. Use cross multiplication, this means you multiply 5000 by 15 and x by 15

x 100 = 75000

3. Solve the equation to find x or the 15% of 5000

x = 75000 ÷ 100

x = 750

I NEED HELP! I will name the person who answers this corectly the Brainliest

Answers

Answer:

[tex]\large \boxed{\sf \bf \ \ 12 \ \ }[/tex]

Step-by-step explanation:

Hello, we can see that this shape is ...

...at the left, a right triangle of side = 2

   area = (2*2)/2 =2

... at the middle, a square of side = 2

   area = 2*2 = 4

... at the right, a right triangle of sides 2 and 6

   area= (2*6)/2 = 6

So the total is 2 + 4 + 6 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

algebra and trigonometry difference

Answers

Answer:

Algebra deals with knowing the value of unknown variables and functional relationships, while trigonometry touches on triangles, sides and angles and the relationship between them.

Algebra is more on polynomial equations, x and y while trigonometry more on sine, cosine, tangent, and degrees.

Trigonometry is much more complicated than algebra but algebra has its uses in our daily lives, be it calculating distance from point to another or determining the volume of milk in a milk container.

Step-by-step explanation:

Answer:

Although both Algebra II and Trigonometry involve solving mathematical problems, Algebra II focuses on solving equations and inequalities while Trigonometry is the study of triangles and how sides are connected to angles.

hope this answer helps u

pls mark as brainliest .-.

what is the slope for the line y= -2?

Answers

Answer:

[tex]\boxed{Slope = 0}[/tex]

Step-by-step explanation:

Hey there!

We’ll y = -2 creates a horizontal line,

and horizontal lines have a slope of zero.

Slope = 0

Hope this helps :)

Answer:

The slope of a linear equation is always the coefficient of the x value when the equation is solved for y. Since we don't have an x value on this expresion, the coefficient of x is 0. Hence, the slope of the line is 0.

let d equal the distance in meters and t equal the time in seconds. Which is a direct variation equation for this relationship

Answers

Answer:

d = s x t

Step-by-step explanation:

The formula for distance.

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = 8x3 − 12x2 − 48x

Answers

Answer:

(2, -1)

Step-by-step explanation:

Given the function f(x) = 8x³ − 12x² − 48x, the critical point of the function occurs at its turning point i,e at f'(x) = 0

First we have to differentiate the function as shown;

[tex]f'(x)= 3(8)x^{3-1}- 2(12)x^{2-1} - 48x^{1-1}\\ \\f'(x) = 24x^2 - 24x-48x^0\\\\f'(x) = 24x^2 - 24x-48\\\\At \ the\turning\ point\ f'(x)= 0\\24x^2 - 24x-48 = 0\\\\\\[/tex]

[tex]Dividing \ through \ by \ 24\\\\x^2-x-2 = 0\\\\On \ factorizing\\\\x^2-2x+x-2 = 0\\\\x(x-2)+1(x-2) = 0\\\\(x-2)(x+1) = 0\\\\x-2 = 0 \ and \ x+1 = 0\\\\x = 2 \ and \ -1[/tex]

Hence the critical numbers of the function are (2, -1)

y varies directly as z, y=180, z=10 , find ywhen z=14

Answers

y = 252

Step-by-step explanation:

To find the value of y when z = 14 we must first find the relationship between them

The statement

y varies directly as z is written as

y = kz

where k is the constant of proportionality

when y = 180

z = 10

180 = 10k

Divide both sides by 10

k = 18

The formula for the variation is

y = 18z

When z = 14

y = 18(14)

y = 252

Hope this helps you

Determine if the matrix is symmetric.
(-1 -5 -9 8)
The transpose of the given matrix is nothing. Because this is_____to the given​ matrix, the given matrix_____symmetric.

Answers

Answer:

because this is equal to the given matrix, the given matrix is symmetric.

Step-by-step explanation:

A symmetric matrix is a square matrix which has same number of rows and columns. Square matrix is equal to transpose. Equal matrices have equal dimensions. The given matrix is symmetric because the rows and columns are equally distributed.

Which is a correct expansion of (4x + 1)(2x2 – 2)?

Answers

Answer:

option A is correct

4x.2x²+4x.(-2)+1.2x²+1.(-2)

hope this will help :)

Answer:

A.  4x * 2x² + 4x( -2) + 1 * 2x² + 1 * (-2)

Step-by-step explanation:

(4x + 1)(2x² – 2)

apply the FOIL method

= 4x * 2x² + 4x( -2) + 1 * 2x² + 1 * (-2)

The volume of a spherical sculpture is 256 ft³. Rhianna wants to estimate the surface area of the sculpture. To do the estimate, she approximates π using 3 in both the surface area and volume formulas for a sphere.


Using this method, what value does she get for the approximate surface area of the sculpture?

Answers

Answer:

192 [tex]ft^2[/tex]

Step-by-step explanation:

Given that

Volume of spherical sculpture = 256 ft³

[tex]\pi[/tex] is used as 3.

To find:

Surface area of sculpture = ?

Solution:

First of all, let us learn about the formula for Volume and Surface Area of Sphere:

1. [tex]Volume =\frac{4}{3}\pi r^3[/tex]

2. [tex]Surface\ Area = 4\pi r^2[/tex]

Given volume is 256 ft³.

[tex]256 = \dfrac{4}{3}\pi r^3\\\Rightarrow 256 = \dfrac{4}{3}\times 3 r^3\\\Rightarrow 256 = 4 r^3\\\Rightarrow r^3=64\\\Rightarrow \bold{r = 4\ ft}[/tex]

Now, let us put r = 4 in the formula of Surface Area to find the value of Surface Area:

[tex]Surface\ Area = 4\pi 4^2 = 4 \times 3 \times 16 = \bold{192\ ft^2}[/tex]

So, approximate surface area of sculpture is 192 [tex]ft^2[/tex].

Answer:

192

Step-by-step explanation:

How does one solve for the n+1st term with the nth term of a sequence

Answers

Answer:

The answer is option B

Step-by-step explanation:

The nth term of the sequence is

A(n) = 5n + 7

To find the (n+1)st term substitute n+1 into the general equation

That's

For (n + 1)st term

A(n+1) = 5(n+ 1) + 7

A(n+1) = 5n + 5 + 7

A(n+1) = 5n + 12

Hope this helps you

[tex] n^{\text{th}} \text{ term is } 5n+7 [/tex]

forget n for a while.

let's call it t .

The [tex] t^{\text{th}} \text{ term is } 5t+7 [/tex]

agreed? I don't think there should be a problem.

you're asked what's the [tex](t+1)^{\text{th}}[/tex] term.

let's call it u . so just like we did before,

[tex] u^{\text{th}} \text{ term is } 5u+7 [/tex]

but we know, [tex]u=t+1[/tex]

So, [tex]5u+7=5(t+1)+7=5t+12[/tex]

does that answer your question?


a) which function has the graph with the greatest y intercept?
b) which functions have graphs with slopes less than -3
c) which functions graph is the least steep?​

Answers

Answer:

a =4,b=2, c=3

Step-by-step explanation:

I will mark u brainleist if u help me and 5 stars and a thanks

Answers

Answer:

1. Jan checks the weather.  It is 27 degrees outside.  Jan did chores for two hours.  After Jan was done, she checked the weather again.  The temperature had decreased 11 degrees.

2. (See screen shot below.)

Step-by-step explanation:

1.  It doesn't have to be as complicated as I made it.  You can just say that the weather started out with 27 degrees, and decreased later on.  Remember, decreased means subtracted and 27+(-11) is the same as 27-11 because when a + and - are together - always wins.  So no.1 wants you to say something got subtracted.

2. On the number line, make a dot at 29 because it said it was 29 degrees.  Then drag the dot at the number 29 to 13 because it said it decreased 16, so it is 19 minus 16 which is 13.

On May 1st, Jay’s mom gives him 1 cent. Each day, she pays him double the amount she paid the day before. How much money did Mike earn in total by May 15?

Answers

Answer: $1.83

Step-by-step explanation:

1. Solve this problem: 1+2+4+6+8+10+12+14+16+18+20+22+24+26. There are 15 numbers for 15 days. You want to solve this because each day is doubled. For example: first day is 1 cent, second day is 2 cents, third day is 4 cents, and so on.

2. Answer is 183 cents.

3. Convert 183 cents to dollars.

4. Your answer is $1.83.

Hope it helps!

Answer:

$1.83.

You start with one cent, and add two more cents after that day.

6(2+5)-2^2x2(9/3)+10/5

Answers

Answer:

The answer is 20

Step-by-step explanation:

You work for a pharmacy and monthly sales of asthma inhalers in your pharmacy follows a normal distribution with a mean of 191 inhalers per month and a standard deviation of 21 due to a storm the next shipment of inhalers did not arrive. The pharmacy only has 163 inhalers currently in stock and available to sell for the current month. What is the z score corresponding to selling 163 inhalers?

Answers

Answer: -1.33 .

Step-by-step explanation:

Formula to find the Z-score :

[tex]Z=\dfrac{\text{Expected value - Mean}}{\text{Standard deviation}}[/tex]

Given: Mean = 191  and Standard deviation = 21

Then , the z-score corresponding to the expected value of 163 will be :

[tex]Z=\dfrac{163-191}{21}\\\\=\dfrac{-28}{21}\approx-1.33[/tex]

Hence, the z score corresponding to selling 163 inhalers is -1.33 .

Write the perimeter of the triangle as a
simplified expression.
3y + 5
бу
Y-4

Answers

Answer:

10y+1

Step-by-step explanation:

The perimeter is the three sides added together

3y+5+6y+y-4=

10y+1

Answer:

[tex]\huge\boxed{P_\triangle=10y+1}[/tex]

Step-by-step explanation:

The formula of a perimeter of a triangle:

[tex]P_\triangle=a+b+c[/tex]

We have:

[tex]a=3y+5,\ b=6y,\ c=y-4[/tex]

Substitute:

[tex]P_\triangle=(3y+5)+(6y)+(y-4)=3y+5+6y+y-4[/tex]

Combine like terms:

[tex]P_\triangle=(3y+6y+y)+(5-4)=10y+1[/tex]

Compute the flux of the vector field LaTeX: \vec{F}=F → =< y + z , x + z , x + y > though the unit cubed centered at origin.

Answers

Assuming the cube is closed, you can use the divergence theorem:

[tex]\displaystyle\iint_S\vec F\cdot\mathrm dS=\iiint_T\mathrm{div}\vec F\,\mathrm dV[/tex]

where [tex]S[/tex] is the surface of the cube and [tex]T[/tex] is the region bounded by [tex]S[/tex].

We have

[tex]\mathrm{div}\vec F=\dfrac{\partial(y+z)}{\partial x}+\dfrac{\partial(x+z)}{\partial y}+\dfrac{\partial(x+y)}{\partial z}=0[/tex]

so the flux is 0.

Find the measure of F. A. 44 B. 88 C. 90 D. 46

Answers

Answer:

A. 44º

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180 degrees, whereas the sum for a square is equal to 360 degrees. Given that three triangles depicted on figure constructs a square, it is to conclude that each is an isosceles triangle. The following relations are presented:

1) [tex]e + 92^{\circ} = 180^{\circ}[/tex] Given

2) [tex]a = b[/tex], [tex]c = d[/tex] Given

3) [tex]a + b + 92^{\circ} = 180^{\circ}[/tex] Given.

4) [tex]c + d + e = 180^{\circ}[/tex] Given.

5) [tex]b + c = 90^{\circ}[/tex] Given.

6) [tex]2\cdot a + 92^{\circ} = 180^{\circ}[/tex] 2) in 3)

7) [tex]a = 44^{\circ}[/tex] Algebra

8) [tex]b = 44^{\circ}[/tex] By 2)

9) [tex]b= f[/tex] Alternate internior angles.

10) [tex]f = 44^{\circ}[/tex] By 8). Result

Hence, the answer is A.

xThe closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $18 and $28 per share. What is the probability that the stock price will be: More than $20? (Round your answer to 4 decimal places.)

Answers

Answer:

The  probability is [tex]P(X > 20 ) = 0.8[/tex]

Step-by-step explanation:

From the question we are told that

  The closing price of Schnur Sporting Goods Inc. common stock is uniformly distributed between $18 and $28 per share.

Given that the stock is uniformly distributed then the probability that the stock price will be more than $20 is mathematically evaluated as

       [tex]P(X > 20 ) = 1 - P(X < 20 )[/tex]

Since it is uniformly distribute  between $18 and $28 per share then we can solve is as follows

=>     [tex]P(X > 20 ) = 1 - [\frac{ 20 - 18 }{28 -18} ][/tex]

=>    [tex]P(X > 20 ) = 0.8[/tex]


If (a, b, c) is a solution to the system of equations above, what is the value of c?
•-26
•-6
•6
•It cannot be determined from the information given

Answers

Answer:

Option (3)

Step-by-step explanation:

The given system of the equations is,

-2x + 4y - 3z = 10 ------(1)

x - 2y + z = 8 -------(2)

If the system of equations has the solution as (a, b, c),

Which shows,

x = a, y = b and z = c

Multiply equation (2) by 2 and add it to equation (1),

2(x - 2y + z) + -2x + 4y - 3z = 10 - 16

2x - 2x - 4y + 4y + 2z - 3z = 10 - 16

-z = -6

z = 6

Therefore, z = c = 6 will be the answer.

Option (3) will be the correct option.

A person tosses a fair coin until a tail appears for the first time. If the tail appearson thenth flip, the person winsndollars. LetXdenote the player’s winnings.ComputeE(X).

Answers

Answer: The answer in a is No while the answer in b is Yes

Step-by-step explanation:

Find the explanation in the attached file.

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