Paula is going to choose the size, color, phrase, and picture for a birthday card for her friend. There are 2 sizes, 4 colors, 7 phrases, and 4 pictures for her to choose from. (The printing company charges a fee to add extra design elements, so she will choose only one of each.)

The mean is the average, add the numbers together and divide by the quantity of numbers:

10 + 12 + 15 + 12 + 13 + 11 + 10 + 13 = 96

96 / 8 = 12

The mean is 12

The median is the middle value.

Rearrange the numbers from smallest to largest:

10 , 10 , 11 , 12 , 12 , 13 , 13 , 15

There are an even amount of numbers, so find the middle two values, add together and divide by 2:

12 + 12 = 24 /2

Median = 12

Answer: 1,760 centimeters

Step-by-step explanation: Your Answer is above

Answer:

She would need to complete 5.57 each noght to reach her goal of 100%.

Step-by-step explanation:

39/7 is equal to 5.57

Answer:

A) x+y=4

B) x-y=-6​

We add both equations and get

2x = -2 so x = -1

and y = 5

So the ordered pair (-1, 5) is the solution to the equations.

Step-by-step explanation:

The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure

[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]

Exterior angles are complementary to interior angles, which means each interior angle has measure

[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]

Answer: 3×607

Step-by-step explanation:

Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.

Answer:

0.42

Step-by-step explanation:

There are 12 different paths to the end. Five of those paths lead to money.

p(winning money) = 5/12 = 0.42

Step-by-step explanation:

[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]

[tex]\text{Answer:\ 4\ hours}[/tex]

Check the picture below.

Y=2x should be correct

Y is two times the value of X, which can be represented as Y = 2X.

This indicates a directly proportional relationship between Y and X, where Y increases as X increases.

To find the monthly rate of decay, we convert the annual decay rate of 8% to a monthly rate using the formula for compound interest. The monthly rate comes out to be approximately -0.6734%, which is closest to the provided option of -0.667%.

To find the monthly rate of decay for a car that depreciates 8% annually, we should convert the annual decay rate to a monthly decay rate assuming compound interest. This calculation involves using the formula for converting an annual percentage rate to a monthly rate when compounded monthly:

Monthly rate = [tex](1 + Annual rate)^(1/12)[/tex] - 1

Substitute the given annual rate of decay (-0.08 or -8%) into the formula:

Monthly rate = [tex](1 - 0.08)^(1/12)[/tex] - 1

This calculation gives us:

Monthly rate = [tex](0.92)^(1/12)[/tex] - 1
Approximately -0.006734

Expressed as a percentage, the monthly rate of decay is approximately -0.6734%, which means the correct answer is not exactly presented in the choices. However, the closest value from the options provided is -0.667%.

Answer:

Total output= H5, H6,T5, T6

Step-by-step explanation:

Bailey will roll a number cube and flip a coin for a probability experiment.

The faces of the cube are labeled 1-6= 6 possible outcomes

The coin can land on heads or tails= 2 possible outcomes

If Bailey rolls the number cube once= 1 output

and flips the coin once = 1 output

Total output will be combined outcome of cube and coin:

       possible outcome of cube= 1, 2, 3 , 4 , 5, 6

       possible outcome of coin= H, T

                                    (H for heads and T for tails)

Total output =possible combined outcome of cube and coin= H1, H2, H3 , H4 , H5, H6, T1, T2, T3 , T4 , T5, T6

Now

the outcomes in which the number cube lands on a number greater than :

reduces the total required output by removing the combination when the number cube lands on a number less than or equals to 4

therefore removing H1, H2, H3 , H4 and T1, T2, T3 , T4 from the total outcome will result in following list:

Total output= H5, H6,T5, T6 i.e.

5, Heads

5, Tails

6, Heads

6, Tails !

Answer:

[tex]f(15)=525\ ft^{2}[/tex]

f(15) is the area of the rectangular garden for a width of 15 ft

Step-by-step explanation:

we know that

[tex]f(x)=x(2x+5)[/tex]

where

x----> is the width of the rectangular garden

(2x+5) ----> is the length of the rectangular garden

so

f(15) -----> is the value of f(x) for x=15 ft

That means

f(15) is the area of the rectangular garden for a width of 15 ft

substitute the value of x and solve

[tex]f(15)=15(2(15)+5)[/tex]

[tex]f(15)=525\ ft^{2}[/tex]

Answer:f(15) is the area of the rectangular garden for a width of 15 ft

Step-by-step explanation:

we know that

where

x----> is the width of the rectangular garden

(2x+5) ----> is the length of the rectangular garden

so

f(15) -----> is the value of f(x) for x=15 ft

That means

f(15) is the area of the rectangular garden for a width of 15 ft

substitute the value of x and solve

Step-by-step explanation:

To express the area of a rectangle as a monomial, multiply the length and width. This gives 30m6.

The area of a rectangle is calculated by multiplying its length and width. For a rectangle with length 5m4 and width 6m2, to express the area as a monomial, you multiply these two together. So, the area A = 5m4 * 6m2.

In terms of exponents, when we multiply terms with the same base (in this case, m), we add up the exponents. Thus, A = 30m4+2 = 30m6. Therefore, the area of the rectangle expressed as a monomial is 30m6.

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Answer:

=53 seconds.

Step-by-step explanation:

24ft=7sec

180

180 x 7

_______=52.5=53

24

Answer:

1/3, 5/6, 4/3, 11/6, 7/3.

Step-by-step explanation:

This is an arithmetic sequence where you add 1/2 to each term to get the next one.

a1 = 1/3 so a2  = 1/3 + 1/2 = 5/6, and a3 = 5/6 + 1/2 = 4/3.

The first 5 terms are:

1/3, 5/6, 4/3, 11/6, 7/3.

Answer:

The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion

Step-by-step explanation:

The output is decreased by 8.4% from 2006 to 2016.

Amount of output in 2006 = 1.8 billion dollars

Decrease in output = 8.4%

We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.

We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9

8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)

                             = 151200000

So, Output expected in 2016 = 1.8 x 10^9 - 151200000

                                                 = 1648800000 or 1.6488 x 10 ^9

So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.

Answer:

It would be D

Step-by-step explanation:

$1.65 billion

Answer:

152 kids and 30 adults

Step-by-step explanation:

To solve this, we must create a system of equations

Suppose:

x = the number of adults

y = the number of children

We know that a total of 182 people attended the trip.

So:

x + y = 182

This equation represents the number of people attending the trip.

To find out the cost, look at the problem.

It costs 13$ for one adult and 8$ for a child.

So:

13x + 8y = 1606

This equation represents the total cost to attend the museum. Now, we must solve.

[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]

The final answer is 152 kids and 30 adults

I hope this helps!!! :)

Answer:

[tex]\large\boxed{x=-\dfrac{1}{5}}[/tex]

Step-by-step explanation:

[tex]\dfrac{a-x}{x-a}=5x\\\\\dfrac{(a-x)}{-(a-x)}=5x\qquad\text{cancel}\ (a-x)\\\\-1=5x\qquad\text{divide both sides by 5}\\\\-\dfrac{1}{5}=\dfrac{5x}{5}\to\boxed{x=-\dfrac{1}{5}}[/tex]

Answer:

f-1(x) = (-1/5)x - 42/5

Step-by-step explanation:

f(x) = -5x - 42

Switch the x and y

x = -5y - 42

solve for y

-5y = x + 42

y = (-1/5)x - 42/5

Answer:

Infinitely many solution

Step-by-step explanation:

The given equations are:

y = 3x + 2

3y = 9x + 6

We graph the two equations as shown in the attachment.

We can see that the second equation is lying on top of the first one.

This means that, they have infinitely many solutions.

Answer:

The provided system of equations have infinitely many solutions.

Step-by-step explanation:

Consider the provided system of equations:

y = 3x + 2 and 3y = 9x + 6

Now use the graphing technology in order to draw the graph of the equations.

The graph of the provided system of equations is shown in figure 1:

As it can be observed that the second equation is lying on top of the first one.

Therefore, they have infinitely many solutions.

Answer:

The square root of 130 would be 11.4017543. Rounding to the nearest tenth, we would get 11.4, because the value 0 is below 5. Rounding 11.4 to the nearest whole number, we would get 11, because the value 4 is below 5. So either 11 or 11.4 works, depending on if you are looking for a decimal or a whole number.

Hope this helps ya :D

Final answer:

The simplified square root of 130 is √130 and cannot be further simplified using integers as 130 does not have pairs of identical prime factors.

Explanation:

The question asks for the simplified form of the square root of 130. To simplify a square root, you want to factor the number under the square root into its prime factors and look for pairs of identical factors, because the square root of a pair of identical factors is just that number. In this case, 130 = 2 x 5 x 13, and since there are no pairs of identical factors, we cannot simplify it further without using a decimal or fractional answer. Therefore, the simplified square root of 130 is √130, which cannot be further simplified using integers.

Answer:

[tex]\boxed{0.2}[/tex]

Step-by-step explanation:

Convert [tex]\dfrac{12}{60}[/tex] to a decimal

Step 1. Reduce the fraction to its lowest terms.

Divide both numerator and denominator by their greatest common factor (12)

[tex]\dfrac{12}{60} =\dfrac{1}{5}[/tex]

Step 2. Convert the denominator to a power of 10

Multiply both numerator and denominator by 2.

[tex]\dfrac{1}{5} \times \dfrac{2}{2} = \dfrac{2}{10}[/tex]

Step 3. Divide the numerator by the denominator

Dividing by 10 moves the decimal point one place to the left.

[tex]\dfrac{2}{10} = \boxed{0.2}[/tex]

Answer:

[tex](f + g) (2) = -4[/tex]

Step-by-step explanation:

We have the functions

[tex]F(x) =-3x^2-2[/tex]

And

[tex]g(x)=4x+2[/tex]

We want to find [tex](f + g) (x)[/tex]

Then

[tex](f+g)(x) = f(x) + g(x)\\\\(f+g)(x) = -3x^2-2 + 4x+2\\\\(f+g)(x)= -3x^2 +4x[/tex]

finally we find [tex](f + g) (2)[/tex]

[tex](f + g) (2) = -3(2)^2 + 4(2)\\\\(f + g) (2) = -3*4 + 8\\\\(f + g) (2) = -12+ 8\\\\(f + g) (2) = -4[/tex]

Answer:

(f+g)2 = 20

Step-by-step explanation:

18. if F(x) =-3x2-2 and g(x)=4x+2 what is value of (f+g)(2)?

We know, (f+g)2= f(2) + g(2)

We will put 2 in the place of x for f(x) and g(x) and then find their result.

Solving:

(f+g)2= f(2) + g(2)

         =3(2)^2 -2 + 4(2) +2

         = 3(4) -2 + 8 +2

         = 12 -2 +8 +2

         = 20

So, (f+g)2 = 20

Answer: Third option

[tex]V_s=14\ m^3[/tex]

Step-by-step explanation:

The volume of a sphere is:

[tex]V_s=\frac{4}{3}\pi r^3[/tex]

Where r is the radius of the sphere

The volume of a cylinder is:

[tex]V_c = \pi r ^ 2 h[/tex]

Where h is the height of the cylinder and r is the radius

We assume that the height of the sphere is its diameter or 2 times its radius.

Then [tex]2r = h[/tex]

[tex]V_c= 21\ m^3=\pi r ^ 2 h[/tex]

[tex]V_c= 21\ m^3=\pi r ^ 2(2r)[/tex]

We solve the equation for r

[tex]\frac{21}{2\pi}=r ^ 3\\\\r= \sqrt[3]{\frac{21}{2\pi}}\\\\r=1.495\ m[/tex]

The radius of the cylinder is equal to the radius of the sphere

Finally

[tex]V_s=\frac{4}{3}\pi (1.495)^3[/tex]

[tex]V_s=14\ m^3[/tex]

Check the picture below.

Answer:

4.5 in²

Step-by-step explanation:

Given that the triangles are similar then

linear ratio of corresponding sides = 3 : 4, then

ratio of corresponding areas = 3² : 4² = 9 : 16

let the area of ΔEDF be x then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )

16x = 72 ( divide both sides by 16 )

x = 72 ÷ 16 = 4.5

Area of ΔEDF = 4.5 in²

These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:

x + 40 = 3x

Combine like terms

(x-x) + 40 = 3x - x

40 = 2x

Isolate x

40/2 = 2x/2

x = 20

Hope this helped!

Answer:

Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.

Step-by-step explanation:

0.8/100 = x/618

618(0.8) = 100x

494.4 = 100x

/100. /100

x = 4.944

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.

Let "N" be the number of runners who completed the race. Then the equation is given as,

0.8% = (N / 618) x 100

0.008 = N / 618

N = 0.008 x 618

N = 4.944

N ≈ 5

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

More about the percentage link is given below.

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Answer is -11/17.

I've attached an image to show you how I got this answer.

11/17 THERE YOU GO YOU ARE WELCOME