Please help will give you 20 points :)

Given:

Number of girls = 20

Number of boys = 30

The president must be a girl and the vice president a boy

To find:

Number of ways to choose a president, vice president, and secretary.

Solution:

The president must be a girl and the vice president a boy. So, out of three students 1 is girl and 1 is boy. Third student can be a girl or a boy.

Total number of ways = Selecting 2 boys and 1 girl +  Selecting 1 boy and 2 girls

[tex]=^{30}C_2\times ^{20}C_1+^{30}C_1\times ^{20}C_2[/tex]

[tex]=\dfrac{30!}{2!(30-2)!}\times \dfrac{20!}{1!(20-1)!}+\dfrac{30!}{1!(30-1)!}\times \dfrac{20!}{2!(20-2)!}[/tex]

[tex]=\dfrac{30\times 29\times 28!}{2\times 1\times 28!}\times \dfrac{20\times 19!}{19!}+\dfrac{30\times 29!}{29!}\times \dfrac{20\times 19\times 18!}{2\times 1\times 18!}[/tex]

[tex]=\dfrac{30\times 29}{2}\times 20+20\times \dfrac{20\times 19}{2}[/tex]

[tex]=8700+3800[/tex]

[tex]=12500[/tex]

Therefore, the required number of ways is 12500.

Answer:

: The Statue of Liberty is about 1.5108×10 to the 2 power feet tall from the base to the torch The pedestal is 1.54 X 10 to the 2 power feet tall . How tall is the Statue of Liberty from the foundation of the pedestal to the top of the torch

Step-by-step explanation:

Answer:

smaller value is 1.2

larger value is 6

Step-by-step explanation:

[tex]f(x)=\frac{3}{1+x^{2} }[/tex]

when x=a=0, one has

[tex]f(0)=\frac{3}{1+0^{2} } \\f(0)=3[/tex]

now, when x=b=2, one has

[tex]f(2)=\frac{3}{1+2^{2} } \\f(2)=\frac{3}{5}[/tex]

Therefore, the absolute minumun is

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

and the absolute maximun is

[tex]M=3[/tex]

The approximation to the integral is

[tex]\frac{3}{5}(2-0)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2-0)[/tex]

hence

[tex]\frac{3}{5}(2)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2)\\\frac{6}{5} \leq \int\limits^2_0 {f(x)} \, dx \leq 6\\1.2 \leq \int\limits^2_0 {f(x)} \, dx \leq 6[/tex]

Answer:

The length of rectangular field is 129 yards.

Step-by-step explanation:

Given that

Perimeter = P = 334 yards

Width = w = 78 yards

Length = l = ??

We will use the perimeter of the formula to find the length of rectangle.

The perimeter of a rectangle is given by:

[tex]P = 2(l+w)[/tex]

Putting the values of perimeter and width

[tex]334 = 2(l+38)\\334 = 2l+76\\334-76 = 2l+76-76\\258 = 2l\\\frac{2l}{2} = \frac{258}{2}\\l = 129[/tex]

Hence,

The length of rectangular field is 129 yards.

Answer:

Corresponding

congruent interior

equation 9x+8=4x+18

angle measure 26

Explanation:

9x+8=4x+18

-4x   = -4x

5x+8=18

-8    = -8

5x=10

x=10/5

x=2

---

so... now plug in 9(2)+8 = 18+8=26degrees

to confirm the angle should be the same for the next one

4x+18=26

solve for x

26-18=4x

8=4x

8/4=x

2=x

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

Answer:

the second one

Step-by-step explanation:

Answer:

The answer is B.) The second graph

Step-by-step explanation:

I just did he instruction on edge and got it right

Answer:

[tex]m=\frac{1}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

Point (0, 1)

Point (4, 2)

Step 2: Find slope m

Answer: Choice A)  All points with an x-value of 3 are located in Quadrant I.

We can show it is false through the use of a counter example. For instance, the point (3, -5) is not in quadrant 1, but rather in quadrant 4.

We would need to say "all points with x value 3 and positive y value" to ensure the point is in quadrant 1.

The false statement:

All points with an x-value of 3 are located in Quadrant I.

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

From the given choices:

Let the statement is true.

All points with an x-value of 3 are located in Quadrant I.

Let the coordinate point (3, -7)

This point lies in the fourth quadrant.

Which is contradiction.

Therefore, the statement is false.

To learn more about the coordinates;

https://brainly.com/question/27749090

#SPJ6

perpendicular=p=8cm

Hypontenuse =h =10cm

According to Pythagoras thereon

[tex]{\boxed{\sf b^2=h^2-p^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b^2=10^2-p^2[/tex]

[tex]\longrightarrow[/tex][tex]\sf b={\sqrt {10^2-8^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b={\sqrt{100-64}}[/tex]

[tex]\longrightarrow[/tex][tex]\bf b={\sqrt {36}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf b=6[/tex]

[tex]\therefore[/tex][tex]\overline{BC}=6cm[/tex]

BD=BC+CD

[tex]\longrightarrow[/tex][tex]BD=9+6[/tex]

[tex]\longrightarrow[/tex][tex]BD=15cm [/tex]

Perpendicular=p=8cm

Base =b=15cm

According to Pythagoras thereon

[tex]{\boxed {\sf h^2=p^2+b^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h^2=8^2+15^2 [/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {8^2+15^2}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {64+225}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h={\sqrt {289}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf h=17cm [/tex]

[tex]\therefore[/tex][tex]{\underline{\boxed{\bf x=17cm}}}[/tex]

Answer:

the value of 2y would be 2

Step-by-step explanation: 3+1=4 so you would plug the 3 in for x and the 1 in for y to get 5

Answer:

The slope is m=5/6 .

Answer:

k=140

Step-by-step explanation:

64+76=140

180-140=40

180-40=140

k=140

a² = b² + c²

a² = 40² + 50²

a² = 1600 + 2500

a² = 4100

a = √4100

a = 64.03

Answer:

no

Step-by-step explanation:

because there is supposed to be a decimal point for example 5.18 there needs to be a period

Answer:

what do you mean there is not decimal in the number you could make it a decimal tho

it would be 5.18 as a decimal

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

3x - 15 = -18

Add 15 to both sides;

3x = -3

Divide both sides by 3;

x = -1

Answer:

X=-1

Step-by-step explanation:

3x-15=-18

    +15  +15

3x=-3

x=-1

Answer:

108π cm^3/min

Step-by-step explanation:

At a time of t min, let the height be h cm

The volume of a cylinder;

V = π r^2 h

  = 36π h

differentiating both sides with respect to t;

dV/dt = 36π dh/dt

but dh/dt = 3 cm/min

dV/dt = 36π(3) = 108π cm^3/min

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

Answer:

y = 1/4x

Step-by-step explanation:

The slope changes from 4 to 1/4

so,

y = 1/4x + b

Then, plug in (4,1) into the equation

1 = 1/4(4) + b

1 = 1 + b

b = 0

y = 1/4x + 0

y = 1/4x

Answer:

12

Step-by-step explanation:

Answer:

12 ounces

Step-by-step explanation:

48÷4 = 12 ounces

Answer:

1. 0.18333333333

2.  1.5

3. 0.55555556

4. 2.75

5. 0.81818181818

6. 4.1111111111

Have a nice day, brainliest Please? :)

Answer:

-(400/9)

Step-by-step explanation:

-44(4/9)

answer A

Answer:

2884

Step-by-step explanation:

First plug in -10 for x, which would look like this: 734 + (-215 * (-10) ) =

Then, first you calculate everything in the parenthesis, which is (-215) * (-10)

and the equation would look like this after you multiply: 734 + 2150 =

If you noticed the number turned out positive after we multiplied, that is because - number times a - number would always be positive, just like if you divide - number by a - number your answer would be positive.

Your last step would be adding 734 with 2150. : 734 + 2150 = 2884

+ 734

2150

_____

2884

And the answer would be 2884

Answer:

y=-5/2x+13

Step-by-step explanation:

m=(-2)-3/4-2

m=-5/2

y-y=m(x-x1)

y-3=-5/2(x-2)

y-3=-5/2x+10

+3 +3

y=-5/2x+13

Answer:

Option B. $231.13 is the correct answer.

Step-by-step explanation:

Given that

Listed price of furniture = P = $255

Discount = d = 12%

Sales tax = s = 3%

First of all, we have to find the discounted price by calculating the discount first

So,

[tex]Discount = 12\%\ of\ P\\= 0.12*255\\= 30.6[/tex]

Discounted Price:

[tex]= Listed\ Price - Discount\\= 255 - 30.6\\= 224.4[/tex]

The sales tax will be calculated on the discounted price

So,

[tex]Sales\ tax = 3\%\ of\ Discounted\ price\\= 0.03 * 224.4\\= 6.732[/tex]

Now,

[tex]Final\ price\ of\ furniture = Discounted\ price + Sales\ tax\\= 224.4 + 6.732\\=231.132[/tex]

He will actually pay $231.132 for the furniture.

Hence,

Option B. $231.13 is the correct answer.

Answer:

x=40

Step-by-step explanation:

2−3=77

2−3+3=77+3

2=77+3

2x=80

2x/2=80/2

x=80/2

x=40

Answer:

Step-by-step explanation: for a party, the family bought 24 pizzas for $12.50 each and 36 bottles of soda for $1.20 each. how much did the family spend on pizza? fill in the blank with the numerical answer only. the family spent $_______ on pizza.

The family spent 300$ on pizza

Answer:

Answer

Step-by-step explanation:

for pizza: $300.00

for soda: $43.20

In all: 343.20