At Deion's boutique, 15 customers wore a size small, and 71 customers wore a different size. What is the probability that a randomly selected customer wore a size small?

Answer:

cos θ = [tex]\frac{\sqrt{11} }{6}[/tex]

Step-by-step explanation:

Substitute sin θ = [tex]\frac{5}{6}[/tex] into the identity

( [tex]\frac{5}{6}[/tex] )² + (cos θ )² = 1

[tex]\frac{25}{36}[/tex] + (cos θ )² = 1

(cos θ )² = 1 - [tex]\frac{25}{36}[/tex] = [tex]\frac{11}{36}[/tex] ( take the square root of both sides )

cos θ = [tex]\sqrt{\frac{11}{36} }[/tex] = [tex]\frac{\sqrt{11} }{6}[/tex]

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

Answer:

(m-4) (3-b)

Step-by-step explanation:

See the steps below:)

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation:

Answer:

C. 103/1/8

Step-by-step explanation:

Answer: Alex spent 3 5/12hours studying on Sunday

Step-by-step explanation:

total hours spent studying in the weekend  =5 2/3 hour

Hours spent on saturday =2 2/8

Hours spent on sunday  =total hours spent studying in the weekend  - Hours spent on saturday=

=5 2/3 - 2 2/8

=3 16-6/24

=3 10/24

=3 5/12

Answer:

1 and 0

Step-by-step explanation:

Let's call the smaller number x and the larger number y.

This means 5y+2x=5.

Also, 4y-x=4.

This is a system of equations. There are two main ways two solve this.

Method 1: Substitution

5y+2x=5

4y-x=4

Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.

I will take 4y-x=4 and solve for x.

4y=4+x

x=4y-4

Then substitute for x in the other equation and solve for y.

5y+2x=5

5y+2(4y-4)=5

5y+8y-8=5

13y=13

y=1

Now we can go back to our equation for x and substitute for y.

x=4y-4

x=4(1)-4=0

y, the larger number, is 1 and

x, the smaller number, is 0

Method 2: Elimination

5y+2x=5

4y-x=4

Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.

If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.

4y-x=4

becomes

8y-2x=8

Now we have 5y+2x=5 and 8y-2x=8.

Add the sides of both equations to cancel the x values.

5y+2x+8y-2x=5+8

13y=13

y=1

like last time, we can substitute for y in any of the original equations to get x.

5y+2x=5

5(1)+2x=5

5+2x=5

2x=0

x=0

y, the larger number, is 1 and

x, the smaller number, is 0

Answer:

3.

Step-by-step explanation:

X+2=-1/4(4x-8)

x+2=-x+2

0=0

Answer:

100÷(20÷5)

Step-by-step explanation:

first find out how many chairs each worker made

20÷5=4

then divide 100 by 4 and that will give you 25

they would need 25 workers the equation that they should use is

100÷(20÷5)

Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.

Answer: The answer to this problem would be points A and B

In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?

Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

Substituting the values given in the formula, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]

Now, to convert any fraction into percentage, We multiply it by 100, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]

Calculating further, We get,

⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]

Answer:

I think it is either A or D

Answer:

B

Step-by-step explanation:

We can determine the total miles run by the 10 students by adding all the miles run by each individual student:

A

1 student * 1/12 miles = 1/12 miles

2 students * 1/8 miles = 2/8 miles = 1/4 miles

1 student * 1/6 miles = 1/6 miles

2 students * 1/4 miles = 2/4 miles = 1/2 miles

1 student * 1/3 miles = 1/3 miles

3 students * 1/2 miles = 3/2 miles

We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.

B

2 students * 1/6 miles = 1/3 miles

2 students * 1/4 miles = 1/2 miles

2 students * 1/3 miles = 2/3 miles

3 students * 1/2 miles = 3/2 miles

1 student * 1 mile = 1 mile

We add all these fractions to obtain 4 miles, which is as the question describes.

Answer:

14

Step-by-step explanation:

42=3p

42/3=3p/3

14=p

Answer:Answer:

13.0feet

Step-by-step explanation:

Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.

Using SOH, CAH, TOA to get the unknown EF.

Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse

Based on SOH:

Sin<D = Opposite/Hypotenuse

Sin<D = EF/DE

Sin19° = EF/40

EF = 40sin19°

EF = 13.0 feet to the nearest tenth of a foot

Answer: Warsaw

Step-by-step explanation:

Warsaw is the capital and largest city of Poland. It is located on the Vistula River, in east-central Poland, roughly 260 kilometres from the Baltic Sea and 300 kilometres from the Carpathian Mountains.

Respuesta:

Aplicando la propiedad distributiva

Explicación paso a paso:

Sin resolver la operación contenida en el paréntesis, podríamos suprimir el paréntesis usando la propiedad distributiva, de modo que el factor fuera del paréntesis se use para multiplicar cada factor entre paréntesis:

(3 + 8). 2 + 6. (5 + 4)

Sin tener que ocuparnos de la operación de suma entre paréntesis, podemos extraer ambos valores mediante

2 * 3 + 2 * 8 + 6 * 5 + 6 * 4

6 + 16 + 30 + 24

= 76

Answer:

a) no solution

Step-by-step explanation:

there is no solution because absolute values can never equal a negative

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

Answer:

a= 3

Step-by-step explanation:

Answer:

565.2

Step-by-step explanation:

565.2

Answer:

−6

Step-by-step explanation:

3(−6+4)

=(3)(−2)

= −6

Hope this helps :)

Do the Brackets

-6+4=-2

Now multiply 3 and -2

3*-2=-6

You have your answer

-6

Answer:

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Step-by-step explanation:

Given

Total bags of seeds [tex]= 5\frac{1}{2}[/tex]

Weight of each bag [tex]= \frac{3}{4}[/tex] Pounds

Total weight of the grass seed  = Total number of bags of seeds * Weight of each bag

Total weight of the grass seed  =

[tex]5\frac{1}{2} *\frac{3}{4} \\=\frac{11}{2}*\frac{3}{4}\\=\frac{33}{8}[/tex]Pounds

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Answer:

33/8= 4 1/8 so its B.

Step-by-step explanation:

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

Answer: Area= the surface included within a set of lines the number of unit squares equal in measure to the surface

the scope of a concept, operation, or activity : field

areaway

Step-by-step explanation:

answer:

60 in²

step-by-step explanation:

the formula for the area of a rhombus-

a= p*q/2

=15*8/2

=60 in ²

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

plus minus

Step-by-step explanation:

Answer:

-Symbol: ±

-Symbol Name: plus - minus

-Meaning / definition:  both plus and minus operations

~~~~~~~~~~~~~~~~~~~

-Example: 3 ± 5 = 8 or -2

                 3+5=8

                     or

                 3-5=-2