A box has seven orange hats and 19 yellow hats if you pick three hats without replacement what is the probability that you pick at least two orange hats from the box?

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 7 in.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The area of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]

A. 154 inches squared. ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]

[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]

[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer:

4in

Step-by-step explanation:

The width of the rectangle is

36:9=4

Answer:

xoy = 40º

toy = 140º

zox = 110º

toz = 70º

zoy = 70º

Step-by-step explanation:

There are 18 spaces so each is 180 / 18 = 10º

xoy = 40º

toy = 140º

zox = 110º

toz = 70º

zoy = 70º

Answer:

xoy = 40 degree angle

toy = 140 degree angle

zox = 110 degree angle

toz = 70 degree angle

zoy = 70 degree angle

Step-by-step explanation:

Use protractor to measure. Each mark is equal to 10 degrees.

Step-by-step explanation:

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 3p = 2p - 1 \dots \dots i\\2q - p = 1 \dots \dots ii\end{cases}[/tex]

cancel 2p from the i equation to get a certain value of p:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - p = 1 \end{cases}[/tex]

now substitute the value of p to the second equation:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - ( - 1) = 1 \end{cases}[/tex]

simplify parentheses:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q + 1= 1 \end{cases}[/tex]

cancel 1 from both sides:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q = 0\end{cases}[/tex]

divide both sides by 2:

[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\q = 0\end{cases}[/tex]

by order pair we obtain:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\3y= x + y \dots \dots ii\end{cases}[/tex]

cancel out y from the second equation:

[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\ x = 2y \dots \dots ii\end{cases}[/tex]

substitute the value of x to the first equation:

[tex] \displaystyle \begin{cases} \displaystyle 2.2y-y= 3 \\ x = 2y \end{cases}[/tex]

simplify:

[tex] \displaystyle \begin{cases} \displaystyle 3y= 3 \\ x = 2y \end{cases}[/tex]

divide both sides by 3:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2y \end{cases}[/tex]

substitute the value of y to the second equation which yields:

[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2 \end{cases}[/tex]

by order pair we obtain;

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \dots \dots i\\3q + 2p = 3 \dots \dots ii\end{cases}[/tex]

rearrange:

[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \\2p + 3q= 3 \end{cases}[/tex]

subtract and simplify

[tex] \displaystyle \begin{array}{ccc} \displaystyle 2p + q = 2 \\2p + 3q= 3 \\ \hline - 2q = - 1 \\ q = \dfrac{1}{2} \end{array}[/tex]

substitute the value of q to the first equation:

[tex] \displaystyle 2.p+ \frac{1}{2} = 2[/tex]

make q the subject of the equation:

[tex] \displaystyle p = \frac{3}{4} [/tex]

hence,

[tex] \displaystyle q = \frac{1}{2} \\ p = \frac{3}{4} [/tex]

Answer:

see above

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

Answer:

-x

Step-by-step explanation:

3x-4x= -x

The answer is minus x

hopes it helps

Answer:

-1x

Step-by-step explanation:

3x from &4x

= -4x-3x (minus minus =plus)

= 1x

Answer:

When someone is deaf they can’t hear, but they still have the ability to see. I believe the main part of living is being able to see, because even if you can’t hear at least you can see and remember the special moments that have occurred in your life. Of course, there are occasions in which it is necessary to hear, but being able to see is something truly valuable for someone because they are able to discover new things with their ability to see. Or maybe you can’t hear your partner tell you that they love you, but at least they can demonstrate it to you and actions speak louder than words in everything.

Step-by-step explanation:

I hope this helped you out

9514 1404 393

Answer:

 ∠1 = 40°

Step-by-step explanation:

Angles 1 and 2 are "alternate interior" angles, so are congruent.

  ∠1 = ∠2

  2x +20 = 3x +10

  10 = x . . . . . . . . . . .  subtract 2x+10 from both sides

The measure of ∠1 is ...

  ∠1 = 2x +10 = 2(10) +20 . . . . . degrees

  ∠1 = 40°

9514 1404 393

Answer:

  46 units

Step-by-step explanation:

Each midline is half the length of the parallel side of ΔCAT. This tells us ...

  TO = AO = DG = 10

  AD = GO = 7

  GT = DO = 9

The perimeter of the trapezoid is ...

  TA +AD +DG +GT = (TO+OA) +AD +DG +GT

  = (10 +10) +7 +10 +9 = 46

The perimeter of the trapezoid is 46 units.

The domain is all possible x values, specified for that function.

Answer:

Function A is less than the y value of Function B

Step-by-step explanation:

The y intercept of Function A is c = 3 [y = -3m + 3]

It's gradient will be m = 3 [ y = -9 + 3] to [y = -6]

Function B

[tex]{\huge{\underbrace{\bf{\pink{Answer}}}}}[/tex]

Length of missing leg = 12 km

Using Pythagoras theorem

a² = 15² - 9²

a = √ 225 - 49

a = √144

a = 12 km

HOPE IT HELPS..

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

H²= B²+ P²

[tex]15 {}^{2} = 9 {}^{2} + p {}^{2} \\ \\ p {}^{2} = 15 {}^{2} + 9 {}^{2} \\ \\ p {}^{2} = 225 - 81 \\ \\p {}^{2} = 144 \\ \\ p = \sqrt{144} \\ \\ p = 12[/tex]

Answer:

Graphs W and Z

Step-by-step explanation:

Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.

Index of the given graphs,

Graph W → Odd index

Graph X → Even index

Graph Y → Even index

Graph W → Odd index

Therefore, graphs W and Z show the radical functions with odd index.

Answer:

The answer is W and Z,  I don't know why people rated it badly.  I just took the practice and got it correct.

Step-by-step explanation:

Answer:

-10, -1

Step-by-step explanation:

See Image below:)

Answer:

7. 190

8. C

9. A

10. ~66% (not sure about this one though)

Step-by-step explanation:

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

ⁿ√M = M^1/n

Thus,

⁸√(6/5) = (6/5)^⅛

Therefore,

A = (6/5)^⅛

Recall:

(A/B)ⁿ = (B/A)¯ⁿ

(6/5)^⅛ = (5/6)^-⅛

Therefore,

A = (5/6)^-⅛

Answer:

[tex]\frac{17262}{5825}[/tex]

Step-by-step explanation:

A ratio is another way of expressing a fractional value. One can express a ratio as a fraction. This problem asks one to find the ratio of (A) to (B). Set this up as a fraction, then substitute the given values in and simplify,

[tex]\frac{A}{B}[/tex]

The following information is given.

[tex]A=51786\\B=17475[/tex]

Substitute these values into the problem,

[tex]=\frac{51786}{17475}[/tex]

Both numbers are divisible by (3), thus reduce the ratio,

[tex]=\frac{17262}{5825}[/tex]

Since they have no other factors in common, the final answer is the following,

[tex]=\frac{17262}{5825}[/tex]

Answer:

80 degrees

Step-by-step explanation:

Since a triangle is 180 degrees

you then add to 2 degrees given and subtract it from 180

65+35=100

180-100=80 degrees

Answer:

16 slices

Step-by-step explanation:

Given :

Number of pizzas ordered = 4

Number of slices per pizza = 4

If 4 pizzas are each sliced into 4 parts ; the we have :

Pizza 1 = 4 slices

Pizza 2 = 4 slices

Pizza 3 = 4 slices

Pizza 4 = 4 slices

Total slices = (4 +4 +4 +4) = 16 slices

Answer:

1. n= 20 /13

2. n=10

3. n=35

4. n=9

That's all I could do, I got tired of typing lol

Step-by-step explanation:

1.  4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation.  13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13

2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10

3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35

4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4.  n=9

Answer:

23.31 pounds of food per day

Step-by-step explanation:

1 mcal = 1000 kcal

0.0333 mcal = x

0.0333 * 1000 = 33.3 kcal of food per kg

A horse which weighs 665 kg ; will this need :

(33.3 *665) = 22144.5 kcal of food per day

Kcal per pound of food purchased = 950 kcal

1 pound = 950 kcal

x pound = 22144.5 kcal

950x = 22144.5

x = 22144.5 / 950

x = 23.31 pounds of food

9514 1404 393

Answer:

  (d)  100x^32

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  √a = a^(1/2)

__

Then ...

  [tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]

Answer:

Step-by-step explanation:

5000x^8

Answer

1• 2/5÷7/8

if there is a division sign in between two fractions what u have to do is multiply and, the fraction at the right need to change

=2/5×8/7

=16/35

=0•457

2• 3/4÷6/5

3• 3/5÷7/8

=3/5×8/7

=24/35

=0•6857

4• 3/4÷5/6

=3/4×6/5

=18/20

=0•9

Answer:

[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers

Step-by-step explanation:

[tex]a(x) = 3x+1[/tex]

[tex]b(x)=x-4[/tex]

[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]

Therefore, the domain of the composite function is all real numbers.

Answer:

parallelogram. rectangle,

Step-by-step explanation:

Answer:

A parallelogram.

Step-by-step explanation:

The decimal cannot be rounded. It is already rounded to the nearest hundredth.

Answer:

D

Step-by-step explanation:

Base perimeter = side x 5 = 4 x 5 = 20 in

LA = (base perimeter x slant height)/2 = (20 x 8)/2 = 80 in^2

SA = base area + LA = 27.5 + 80 = 107.5 in^2

Answer:

y = 3

y = 2

y = 1

y = 0

Step-by-step explanation:

Given expression;

y = (-x/3) + 2

Find:

Computation:

Value of y, if x = -3

y = (-x/3) + 2

y = (3/3) + 2

y = 3

Value of y, if x = 0

y = (-x/3) + 2

y = (-0/3) + 2

y = 2

Value of y, if x = 3

y = (-x/3) + 2

y = (-3/3) + 2

y = 1

Value of y, if x = 6

y = (-x/3) + 2

y = (-6/3) + 2

y = 0