There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?

Answer:

36

Step-by-step explanation:

Answer:

x = 22/3  y = 20/9

Step-by-step explanation:

2x-3y =8 x+3y=14

Add the two equations together to eliminate y

2x-3y =8

x+3y=14

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

3x +0y = 22

Divide each side by 3

3x/3 = 22/3

x = 22/3

Then take the second equation and multiply by -2 and add to eliminate x

2x-3y =8

-2x-6y=-28

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

  -9y = -20

Divide by -9

-9y/-9 = -20/-9

y = 20/9

x = 22/3  y = 20/9

Step-by-step explanation:

Total money=15000

food=20%

edu.=10%

food AMT=20% of 15000

=20/100*15000

= 3000

education AMT= 10/100*15000

=1500

savings = 15000-1500-3000

=Rs10500

total expenditure=1500+3000

=4500

Answer:

Combine like terms:

3x + 29 ≤ 62

-29          -29

3x = 33

Divide by 3 on both sides.

x = 11!

Answer:

x is 11

Step-by-step explanation:

4X + 24 - X + 5 ≤ 62

24 + 5

is 29

29-3x  ≤ 62

-3x  ≤  33

-x ≤ 11

x ≥ 11

9514 1404 393

Answer:

  z = 14.4

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  z/12 = 6/5 . . . . . . . . . write a proportion*

  z = 12(6/5) = 72/5 . . . . . multiply by 12

  z = 14.4

_____

* We consider the proportion easier to solve if the unknown is in the numerator. Then the solution is found by multiplying the equation by that denominator.

Answer:

see uploaded image

Step-by-step explanation:   5 30  10 04

x(x+3)²(x-1)(x-3)²

I attached my guess, since I don't see any graphs.  

NOTE the x axis scale change on my submission.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

A polynomial is an equation with many terms whose leading term is the highest exponent known as a degree. The degree or exponent tells how many roots exist. These roots are the x-intercepts.

This polynomial has roots -3, 0, 1, and 3. This means the graph must touch or cross through the x-axis at these x-values. What determines if it crosses the x-axis or if the simple touch it and bounces back? The even or odd multiplicity - how many times the root occurs.

In this polynomial:

Root -3 has an even multiplicity of 2 so it only touches and does not cross through.

Root 0 has an odd multiplicity of 1 so crosses through.

Root 1 has an odd multiplicity of 1 so crosses through.

Root 3 has an even multiplicity of 3 so it only touches and does not cross through.

Knowing this, only the first and second graphs are possible answers.

Lastly, what determines the facing of the graph (up or down) is the leading coefficient. If positive, the graph ends point up. If negative, the graph ends and points down. All even degree graphs will have this shape.

Only option A graph matches the features of this polynomial. Therefore, option A is the correct answer.

To learn more about the polynomial function visit:

https://brainly.com/question/12976257.

#SPJ6

Answer:

39

Step-by-step explanation:

Yes, the base of the bicycle rack measures about 15 inches.

The sine (sin) of an acute angle in a right angled triangle is the ratio between the side opposite the angle and the hypotenuse of the triangle.

A restaurant owner plans to install this bicycle rack in front of her restaurant.

In order to meet city safety requirements, the base of the bicycle rack cannot exceed 20 inches so as to not obstruct pedestrians.

The base of the bicycle is ;

In the right angle triangle;

[tex]\rm = sin38 \times 24\\\\ =0.61 \times 24\\\\=14.77[/tex]

Yes, the base of the bicycle rack measures about 15 inches.

Hence, Yes, the base of the bicycle rack measures about 15 inches.

Learn more about sin angle here;

https://brainly.com/question/18597026

#SPJ2

You Are Not Allowed To Put Links Or To Tell To Go To Other Websites according To The Rules

Answer:

two of them are possible which one is the correct

Answer:

x = 3

y = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

In a parallelogram , pair of opposite sides are always equal in length.

SOLUTION :-

PQRS will be a parallelogram only when :-

1) Assume that PQ = RS.

[tex]=> 2y + 3 = y + 5[/tex]

[tex]=> 2y - y = 5 - 3[/tex]

[tex]=> y = 2[/tex]

∴ For y = 2 , PQ = RS.

2) Now, assume that PS = QR.

[tex]=> 4x - 3 = 4y + 1[/tex]

(Put y = 2 in the equation)

[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]

[tex]=> 4x - 3 = 9[/tex]

[tex]=> 4x = 9 + 3 = 12[/tex]

[tex]=> x = \frac{12}{4} = 3[/tex]

∴ For x = 3 , PS = QR.

CONCLUSION :-

For x = 3 & y = 2 , PQRS is a parallelogram.

Answer:

[tex]2 - i[/tex]

Step-by-step explanation:

Substitute i for x. Remeber i means imaginart number.

[tex] {i}^{3} - 2 {i}^{2} [/tex]

Use the Imaginary number exponents rules

[tex] {i}^{2} = - 1[/tex]

[tex] {i}^{3} = - i[/tex]

[tex]i {}^{4} = 1[/tex]

Simplify the equation.

[tex] - i - ( - 2)[/tex]

[tex] - i + 2[/tex]

Write as a complex number in form a+bi

[tex]2 - i[/tex]

Answer:

40

Step-by-step explanation:

Answer:7-10

Step-by-step explanation:

In this question it is asking what is the biggest change in the temperature that happened "next to the other one" on the table

And the change from 7-10 is the highest change that is "next to each other"

Answer:

1.5 liters

Step-by-step explanation:

300 mL per person

50 people

300 x 50 = 1500

1500 mL = 1.5 L

Answer:

(52/10)

5 (2/10)

5.2

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

Answer:

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

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

Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

I don't know plz correct me If I'm wrong

Also brainliest?

Step-by-step explanation:

skakisjsjsjjajabbajaj

Answer:

If an event has a probability of 0 it means that it is impossible. For example when they say there is 0% of rain. It is very unlikely it is going to rain. If an event has a probability of 1 it means that it is certain. For example, if they say there is a 100% chance it is going to rain. It is very certain that it's going to rain. If an event is 1/2 then it means there it is likely as it is unlikely. For example, if they say there is a 50% chance of rain. Then it might not rain, but there is a chance that it might rain as well.  

Step-by-step explanation:

Hope this helps!

Probability can simply be defined as the chances of an event a, occuring with respect to event b, with respect to event n, given an nth number of possible outcomes.

Probability can be calculated using the following expression:

[tex] \frac{freq \: of \: event \: n}{freq \: of \: total \: number \: of \: events} [/tex]

When an event has a probability of 0, it means that by no chance or condition will the event be true. For example, the probability of a person who is a boy has 0 probability that he is a girl.

When an event has a probability of 1, it means that with every chance or condition, the event will be true. For example, the probability that a person who is a boy has a probability of 1 that he is a boy.

An event that has a probability of 1/2 means that the event could either return a probability of 0 or 1 on different chances or conditions. For example, the probability of a fuetus whose gender is not known has a probability of 1/2 for being a boy and 1/2 for being a girl.

Answer:

C)

B)

C)

Step-by-step explanation:

recall the surface area formula of cylinder

[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]

given that,h=5 and r=0.7

substitute:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =25.0572 sqm[/tex]

hence, our answer is C

remember the surface area formula of cone

[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]

given that,r=7 and s=10

substitute:

[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =373.66sqcm[/tex]

hence, our answer is B

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]

we are given that,[tex]A_S=600[/tex] Thus

substitute:

[tex] \displaystyle 6 {a}^{2} = 600[/tex]

divide both sides by 6:

[tex] \displaystyle {a}^{2} = 100[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 10[/tex]

hence, the measurement of each

edge is 10 cm therefore our answer is C)

Answer:

4/6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

30

you can easily find out the answer by multiplying 2/3 by 10 on both the numerator and denominator to get 20/30 which is the amount of people that like the chip flavor. the other 10 is the people that don't like it.sorry if I gave you a stroke but 20 people like the chip and 10 people don't so theres 30 people in total

Answer:

nice

Step-by-step explanation:

whats the rest of the problem or is it just that she rolled a dice

Answer:

Solution given:

12 Ouches =$7200

per Ouches =$7200/6=$600

So

the required equation for the cost of any weight of gold is:

C.

600W=C is a required equation.

Answer:

600W=C

Step-by-step explanation:

.......................

Answer:

Step-by-step explanation:

We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:

[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us

3x + 3x + 4x = 12 and

10x = 12 so

x = 1.2 hours

Answer:

1.2 hours

Step-by-step explanation:

we need to see how much each pipes does in the same amount of time

The least common multiple of 3 hours and 4 hours is 12 hours

In 12 hours:

Pipe 1 at 4 hours to fill a tank fills 3 tanks

Pipe 2 at 4 hours to fill a tank fills 3 tanks

Pipe 3 at 3 hours to fill a tank fills 4 tanks

All three pipes can fill 10 tanks in 12 hours

12 hours/10 tanks = 1.2 hours to fill one tank

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

Doing just the math

1/4 + 1/4 + 1/3 = x

3/12 + 3/12 + 4/12 = 10tanks/12 hours

12hours/10tanks = 1.2 hours