Nancy bought a new rectangular rug for her kitchen. The rug measures 2 feet by 2 feet. What is the area of the rug?
A. 4 3/4
B. 5 1/2
C. 5 3/4
D. 9 1/2​

Answer:

There is a 1/250 chance that his ticket will be chosen

There is a 249/250 chance that his ticket will not be chosen

Step-by-step explanation:

Hope that helps!

[tex]\cos \angle H =\dfrac{\text{Base}}{\text{Hypotenuse}}= \dfrac{IH}{GH}=\dfrac{28}{53}[/tex]

Answer:

Angle u is 52

Step-by-step explanation:

I only know this

52 because internal angle of triangle is 180 subtract 90 and 38 from 180 and you will get 52

Answer:

Step-by-step explanation:

The set of relationships can be formulated as three equations in three unknowns. These can be written as an augmented matrix and solved using a calculator.

Let x, y, z represent the numbers of compact, midsize, and luxury cars, respectively. Then the relations are ...

  x + y + z = 48 . . . . . . total number of cars purchased

  13x +25y +39z = 932 . . . . . total cost in thousands

  20x +27y +45z = 1265 . . . . daily rental revenue

The augmented matrix of coefficients looks like ...

  [tex]\left[\begin{array}{ccc|c}1&1&1&48\\13&25&39&932\\20&27&45&1265\end{array}\right][/tex]

And its solution is ...

  (x, y, z) = (25, 15, 8)

The agency should purchase 25 compacts, 15 midsize, and 8 luxury cars.

Step-by-step explanation:

You can find the complete solution

You should use cross multiplication to solve

I hope it helped you

Answer:

Step by step Solution :-

25X^2 + Y^2 = 25

A) Finding X value :-

1. Subtract Y^2 from both sides:

25X^2 = 25 - Y^2

2. Divide both sides by 25 :

( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25

3. Dividing by 25 undo the multiplication by 25 :

X^2 = ( 25 - Y^2 ) ÷ 2

4. Divide ( 25 - Y^2 ) by 25 :

X^2 = ( - Y^2 ÷ 25 ) + 1

5. Take Square Root for both sides of equation ( before & after (=) ) :

X = √ ( 25 - Y^2 ) ÷ 5

X = - √ ( 25 - Y^2 ) ÷ 5

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

Now that we knew what X value is, we'll figure out Y value too!

B) Finding Y value ( Finding Square Root ):-

Y^2 = 5√ ( 1 - X^2 )

1. Finding Square Root :

25X^2 + Y^2 = 25

2. Subtract 25X^2 value from both sides :

Y^2 = 25 - 25X^2

3. Take square root for both sides of equation :

Y = 5√ ( 1 - X^2 )

Y = - 5√ ( 1 - X^2 )

Using the normal distribution and the central limit theorem, it is found that the probability is of 0.1368 = 13.68%.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

The mean and the standard error are given by:

[tex]\mu = p = 0.47[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.47(0.53)}{61}} = 0.0639[/tex]

The probability that less than 40% of the sample are looking to buy an SUV is the p-value of Z when X = 0.4, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.4 - 0.47}{0.0639}[/tex]

Z = -1.095

Z = -1.095 has a p-value of 0.1368.

0.1368 = 13.68% probability that less than 40% of the sample are looking to buy an SUV.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Answer:

$35

Step-by-step explanation:

7 customers - 2 who didn't tip =  5 who did tip

$7 from those who did tip * 5 ppl who tipped = $35 earned

Answer:

6,000

Step-by-step explanation:

1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.

Have a great day!

Answer:

0.55

Step-by-step explanation:

In this question we need to find the Z score says that the area under the standard normal curve to the right is 0.29. So here in this question I have drawn here the normal distribution curve. So at this point we need to calculate the z value And with the probability of 29%. So to find the value of Z says that probability of zero great Small, that is equal to 0.29. So I can write this left hand side as one minus probability of less than small. It's called a 0.29 probability of zero, less than or equal to zero will do 0.29 one minus .29 which is equal to 0.71. So here we know the value of probability And we need to find the value of zero and there are various methods to calculate that one is the using the normal distribution tables and then there is the um MS Excel should. So from the table you can find the area closest to 0.71. So here the flow chart for finding me value. Using normal distribution table is given. So the first thing is from this table of the standard normal distribution, look at the probability value. So as you can see from this this is the snapshot of the table we need to find the probability value. So We have got the value of 0.71. So this is the nearest value to that you need to, next second is move left until the first column is reached. So move left until the first column is rich. This is the first column. Move upward until the top row is rich. Note that value. So here as you can see it is 0.5 and here it is 0.05. The intersection of the Roman columns gives the area of the two day loves. So which is 0.5 Plus 0.05 is equal to zero 55. This is the value of Z. Or as you can use the um xxl shoot to calculate the value of Z. Here, I have given the flow chart for that. Also you can use this to calculate the value of Z. So probability of mhm Less than or equal to 0.55 Is equal to 0.71. This is the answer. 0.55 is the answer for the solution.

Answer:

7

Step-by-step explanation:

We can setup this equation as x representing his number.  (x+13) * 3 = 9x -3.

Now, we just need to solve for x.  

3(x+13)=9x-3

x+13=3x-1

14=2x

x=7

Answer:

72.6

Step-by-step explanation:

y = 3.23x + 33.86

y = 3.23 (12) + 33.86

y = 38.76 + 33.86

y = 72.62

Hope this helps!

Answer:

Viewed as a right angled triangle

tan

(

x

)

=

5

12

can be thought of as the ratio of opposite to adjacent sides in a triangle with sides

5

,

12

and

13

(where

13

is derived from the Pythagorean Theorem)

So

sin

(

x

)

=

5

13

and

cos

(

x

)

=

12

13

Step-by-step explanation:

Answer:

1. 3.33

2. 8.75

3. 4.8

4. 2.5

Step-by-step explanation:

divide the numbers.

Answer:

Below

Step-by-step explanation:

Diameter = 2r (r is radius) so the diameter is 40 inches

Circumference= 2pi r= 40pi or 125.663

Area= pi r^2= pi(20)^2= 400 pi pr 1256.637

Answer:

Diameter: 40 inches

Circumference: 40π, or ~125.66 inches

Area: 400π, or ~1256.64 inches

Step-by-step explanation:

Diameter is twice the radius, so 20×2 = 40 inches.

Circumference formula is C = 2πr, so plugging everything in, C = 2π×20,

and simplify, C = 40π, or C ≈ 125.66 inches.

Area formula is A = πr², so plugging everything in, A = π20², and then simplify, A = 40π, or A ≈ 1256.64 inches.

Answer: B

Step-by-step explanation:

Answer:

169 + 121 = 225

Step-by-step explanation:

It is not a right triangle
A squared + b square should equal c squared.
169 + 121 = 290

Answer:

Angle BFC is complimentary to AFB. Its measure is 12.

Step-by-step explanation:

Complementary angles add up to 90 degrees. When these two angles combine, it adds up to 90. 90-78 = 12. This angle's measure is 12.

Answer:27

Step-by-step explanation:

Its pretty simple. Perimeter is the addition of all the sides. Add 4+9+8+6 to get 27.

Answer:

56 Chickens

36 Cows

Step-by-step explanation:

You can set this up as a system of equations:

(x=chickens, y=cows)

[tex]\left \{ {{92 = x+y} \atop {256=2x+4y}} \right. \\[/tex]

To solve this system, first we can solve for x in the top equation:

[tex]x=92-y[/tex]

Next, we can plug in x to the second equation and solve for y:

[tex]256=2(92-y)+4y\\256=184+2y\\2y=72\\y=36[/tex]

And now that we have y, we can plug it into the first equation and solve for x:

[tex]92=x+36\\x=56[/tex]

Answer:

B  Angle obtuse Since 126o 32 ' is bigger  90o but  smaller than 180o.

Step-by-step explanation:

Acute: An angle that measures < 90o.

Right: An angle that measures 90o.

Obtuse : An angle that is > 90o but < 180o.

Straight: An angle that measures 180o.

Answer:

1/6

Step-by-step explanation:

it is like a cube just with slightly different numbers on each side. but the probabilty structure is still the same.

we have 6 different possible outcomes, all with the same basic probabilty (as every field on the spinner is seemingly of the same size as the others).

and we desire one of these possible outcomes (6).

so the probabilty to get 6 is still 1/6 (1 desired over 6 possible outcomes).

[tex]0.3x = 2.1\\\\\implies 10\times 0.3x = 10 \times 2.1~~~~;[\text{Multiply both sides by 10}]\\\\\implies 3x = 21\\\\\implies x = \dfrac{21}3 = 7[/tex]

Step-by-step explanation:

so, they want to sell 200,000 tickets (and we assume they can really sell all of these).

they have to pay the prize money afterwards :

1 × $8,000 = $8,000

10 × $300 = $3,000

75 × $50 = $3,750

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

$14,750

and they have to pay for the ticket production at the beginning.

this is not really well defined, but I assume the following :

C(20) = 4500 + 6x

x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).

that means the cost for these 200,000 tickets is then

4500 + 6×20 = $4,620

$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).

and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).

so, the total expenses are

$14,750 + $4,620 = $19,370

under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be

19,370 / 200,000 = $ 0.09685 ≈ $0.10

if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.

for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?

then the printing costs would be

4500 + 6×200000 = $1,204,500

and the total expenses would be

$14,750 + $1,204,500 = $1,219,250

and the prize per ticket would have to be

1,219,250 / 200,000 = $ 6.09625 ≈ $6.10

The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.

Given that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:

Therefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.

Learn more about amount calculation in https://brainly.com/question/14695611

Answer:

1 1/3 cups of milk

Step-by-step explanation:

In our recipe

For every 1 1/2 cups of flour we need  2 cups of milk

then the flour and milk are two proportional quantities

1 1/2 ————-> 2

We know that 1 1/2 = 1/2 + 1/2 + 1/2  then

1/2 + 1/2 + 1/2 ————-> 2

Then (we divide both sides by 3)

1/2 ————-> 2/3

Then (we multiply  both sides by 2)

1 ————-> 4/3

finally , 4/3 = 1 1/3

Answer: 4n-7

Step-by-step explanation:

Answer:

No slope.

Step-by-step explanation:

There is no such thing as a vertical slope, meaning that there is no slope. I hope this helps! :)

Answer:

No slope

Step-by-step explanation:

The line is going straight up :)

Brainliest pls?

Answer:

-54/385

Step-by-step explanation:

Answer:

[tex]x=6-\sqrt{ -100}/2=3-5i=3.0000-5.0000i\\x=6+\sqrt{-100} )/2=3+5i=3.0000+5.0000i[/tex]

Step-by-step explanation:

Step 1: Trying to factor by splitting the middle term

The first term is,  x²  its coefficient is  1 .

The middle term is,  -6x  its coefficient is  -6 .

The last term, "the constant", is  +34

Step-1 : Multiply the coefficient of the first term by the constant   1 • 34 = 34

Step-2 : Find two factors of  34  whose sum equals the coefficient of the middle term, which is   -6 .

     -34    +    -1    =    -35

     -17    +    -2    =    -19

     -2    +    -17    =    -19

     -1    +    -34    =    -35

     1    +    34    =    35

     2    +    17    =    19

     17    +    2    =    19

     34    +    1    =    35

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Equation at the end of step 1:

 x² - 6x + 34  = 0

Parabola, Finding the Vertex:

 Find the Vertex of   y = x^2-6x+34

Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   We know this even before plotting  "y"  because the coefficient of the first term, 1 , is positive (greater than zero).

Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two  x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.

Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.

For any parabola,Ax2+Bx+C,the  x -coordinate of the vertex is given by  -B/(2A) . In our case the  x  coordinate is   3.0000  

Plugging into the parabola formula   3.0000  for  x  we can calculate the  y -coordinate :

 y = 1.0 * 3.00 * 3.00 - 6.0 * 3.00 + 34.0

or   y = 25.000

Parabola, Graphing Vertex and X-Intercepts :

Root plot for :  y = x2-6x+34

Axis of Symmetry (dashed)  {x}={ 3.00}

Vertex at  {x,y} = { 3.00,25.00}

Function has no real roots

Solve Quadratic Equation by Completing The Square

Solving   x2-6x+34 = 0 by Completing The Square .

Subtract  34  from both side of the equation :

  x2-6x = -34

Now the clever bit: Take the coefficient of  x , which is  6 , divide by two, giving  3 , and finally square it giving  9

Add  9  to both sides of the equation :

 On the right hand side we have :

  -34  +  9    or,  (-34/1)+(9/1)

 The common denominator of the two fractions is  1   Adding  (-34/1)+(9/1)  gives  -25/1

 So adding to both sides we finally get :

  x2-6x+9 = -25

Adding  9  has completed the left hand side into a perfect square :

  x2-6x+9  =

  (x-3) • (x-3)  =

 (x-3)2

Things which are equal to the same thing are also equal to one another. Since

  x2-6x+9 = -25 and

  x2-6x+9 = (x-3)2

then, according to the law of transitivity,

  (x-3)2 = -25

We'll refer to this Equation as  Eq. #2.2.1  

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

  (x-3)2   is

  (x-3)2/2 =

 (x-3)1 =

  x-3

Now, applying the Square Root Principle to  Eq. #2.2.1  we get:

  x-3 = √ -25

Add  3  to both sides to obtain:

  x = 3 + √ -25

In Math,  i  is called the imaginary unit. It satisfies   i2  =-1. Both   i   and   -i   are the square roots of   -1

Since a square root has two values, one positive and the other negative

  x2 - 6x + 34 = 0

  has two solutions:

 x = 3 + √ 25 •  i

  or

 x = 3 - √ 25 •  i

Solve Quadratic Equation using the Quadratic Formula

2.3     Solving    x2-6x+34 = 0 by the Quadratic Formula .

According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

           - B  ±  √ B2-4AC

 x =   ————————

                     2A

 In our case,  A   =     1

                     B   =    -6

                     C   =   34

Accordingly,  B2  -  4AC   =

                    36 - 136 =

                    -100

Applying the quadratic formula :

x = 6 ± √ -100/2

In the set of real numbers, negative numbers do not have square roots. A new set of numbers, called complex, was invented so that negative numbers would have a square root. These numbers are written  (a+b*i)

Both   i   and   -i   are the square roots of minus 1

Accordingly,√ -100  =

                   √ 100 • (-1)  =

                   √ 100  • √ -1   =

                   ±  √ 100  • i

Can  √ 100 be simplified ?

Yes!   The prime factorization of  100   is

  2•2•5•5

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 100   =  √ 2•2•5•5   =2•5•√ 1   =

               ±  10 • √ 1   =

               ±  10

So now we are looking at:

          x  =  ( 6 ± 10i ) / 2

Two imaginary solutions :

x =(6+√-100)/2=3+5i= 3.0000+5.0000i

 or:

x =(6-√-100)/2=3-5i= 3.0000-5.0000i

Two solutions were found :

x =(6-√-100)/2=3-5i= 3.0000-5.0000i

x =(6+√-100)/2=3+5i= 3.0000+5.0000i