Consider the 912 people to be a population. Let X be the number of times per week a person dines out for a person sampled at random from this population. Compute the mean.

Yes, Timothy is correct because triangle AKLM was dilated by using a scale factor of 1.5 centered at the origin.

In Mathematics, dilation can be defined as a type of transformation that is typically used for enlarging or reducing the size of a geometric object but not its shape, based on the scale factor.

For the given coordinates of the preimage triangle KLM, the dilation with a scale factor of 1.5 from the origin (0, 0) would be calculated as follows:

Coordinate K (-1, 3) → Coordinate K' (-1 × 1.5, 3 × 1.5) = Coordinate K' (-1.5, 4.5).

Coordinate L (8, 4) → Coordinate L' (8 × 1.5, 4 × 1.5) = Coordinate L' (12, 6).

Coordinate M (10, -3) → Coordinate M' (10 × 1.5, -3 × 1.5) = Coordinate M' (15, -4.5).

In conclusion, the coordinates of the image triangle K'L'M after a dilation with a scale factor of 1.5 from the origin are (-1.5, 4.5), (12, 6), and (15, -4.5) as shown in the graph above, therefore, Timothy is correct.

Read more on dilation here: brainly.com/question/20482938

#SPJ1

The values of x and y are 8 and 10, respectively

The list of the numbers is given as:

4, 7, x, y, 11

The mean and median of the five numbers are the same.

The median is the middle number.

So, we have

Median = x

This means that

Mean = Median = x

The mean is calculated as:

Mean = Sum/Count

This gives

(4+ 7+ x+ y+ 11)/5 = x

Evaluate the sum

(22 + x + y)/5 = x

This gives

22 + x + y = 5x

Evaluate the like terms

4x = 22 + y

Based on the order of the list, we have:

7 < x < y < 11

Assume y = 10

4x = 22 + 10

This gives

x = 32/4

x = 8

Recall that:

7 < x < y < 11

This means that

7 < 8 < 10 < 11

The above is true

Hence, the values of x and y are 8 and 10, respectively

Read more about mean and median at:

https://brainly.com/question/14532771

#SPJ1

Answer:

80%

Step-by-step explanation:

We know that the plant was 5 inches and it grew 4 inches to become 9 inches, so now we just need to figure out what percentage 4 is of 5. An easy way to do this is by multiplying 5 by 2 to get 10 and since 4 is 40% of ten we know that 4 is 80% of 5 because we have to multiply 4 by 2 because we did 5.

the plant grew by 80%.

Step-by-step explanation:

Answer:

5.55 million cells per microliter

4.68 million cells per microliter

Step-by-step explanation:

First, use a chart or calculator to find the z-score for reach percentage.

P(Z > z) = 0.24

P(Z < z) = 1 − 0.24 = 0.76

z = 0.706

Next, use definition of z-score to find the value.

z = (x − μ) / σ

0.706 = (x − 5.2) / 0.5

x = 5.55

Repeat for the other percentage.

P(Z < z) = 0.15

z = -1.036

z = (x − μ) / σ

-1.036 = (x − 5.2) / 0.5

x = 4.68

The conversion from degree to radian will be 180° = π radian. Then the measure of angle 75° is 1.31 radians.

Conversion means to convert the same thing into different units.

Convert the degree measure to the radian measure.

⇒ 75°

We know the conversion is given as

180° = π radian

   1° = π/180°

Then we have

75° = 75° x π/180° radian

75° = 1.30899 radian

75° ≅ 1.31 radian

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ1

Answer:

the probability of a client owning stocks OR bonds is 0.825

Step-by-step explanation:

The computation of the probability of a client owning stocks OR bonds is given below:

= P(stocks) + P(bonds) - P(stocks and bonds)

= 0.60 + 0.50 - (0.55 × 0.50)

= 0.60 + 0.50 - 0.275

= 0.825

Hence, the probability of a client owning stocks OR bonds is 0.825

Answer:

y = -3

Step-by-step explanation:

y = |x| - 4

y = |-1| - 4

y = 1 - 4

y = -3

 I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.

However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.

Now,  I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.

Learn more about credit card:https://brainly.com/question/27350251

#SPJ1

The probability that a randomly selected high school student plays organized sports is 0.59 and  there is a strong chance that the event will occur.

The probability of an event is a number that indicates how likely the event is to occur. It is expressed as a number in the range from 0 and 1, or, using percentage notation, in the range from 0% to 100%. The more likely it is that the event will occur, the higher its probability.

Given that, a survey of 200 randomly selected high school students determine that 118 play organized sports.

We need to find the probability that a randomly selected high school student plays organized sports, and to interpret this probability.

a) P(event) = favorable outcomes / possible outcomes

Favorable outcomes = students that played organized sports 118

Possible outcomes = sample space 200

P(that a randomly selected high school student plays organized sports) = 118 / 200 = 0.59

b) Since, the probability is close to one, there is a strong chance that the event will occur.

Hence, the probability that a randomly selected high school student plays organized sports is 0.59 and  there is a strong chance that the event will occur.

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ1

Length of bike route A is 12(65)=780 and length of bike route B is 65.

Two or more expressions with an Equal sign is called as Equation.

Given that the Bike route A is 12 times as long as bike route B.

Let x be the length of the bike route B.

12x be the  length of the bike route B.

The total length of the bike trails is 845 miles

12x+x=845

13x=845

Divide both sides by 13

x=65

Length of bike route A is 12(65)=780 and length of bike route B is 65.

Hence, Length of bike route A is 12(65)=780 and length of bike route B is 65.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

Answer: 0.0622009569378

Step-by-step explanation:

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

Answer:

\( \frac{55}{35} \\ \frac{11}{7} \\ 1.57\)

Answer:

(x - 2)(x + 4)

Step-by-step explanation:

What are the factors of: f(x) = \(x ^2 + 2x - 8\)

\(x ^2 + 2x - 8\)

a = 1

b =  2

c = -8

Find two numbers that add to 2 and multiply to -8:

-2 + 4 = 2

-2(4) = -8

factors are:

(x - 2)(x + 4)

Step-by-step explanation:

\((9\pi \frac{2}{2} )\div 3\pi \\ \)

\( \frac{9\pi}{3\pi} \\ \)

\(3\pi\)

3π is the answer

Step-by-step explanation:

Let x be one of the numbers.

Given,

338*x = 454

Divide by 338,

x = 454/338 = 1.343

Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

Answer:

5(9x+23)

Step-by-step explanation:

45x+115

5(9x+23)

Answer:

1. -9/20

2.  1  7/12

3.  -4  1/3

Step-by-step explanation:

When adding and subtracting fractions with unlike denominators, you must first make them like denominators. To do this we must:

1. Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).

2. Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator.

3. Then add (or subtract) the fractions, as we wish!

The easiest way to this is by multiplying the denominators. Remember that whatever you do to the bottom, you also do to the top

1. -5/4 +4/5

if we multiply 4 and 5, we get 20. Our denominator will be 20 before we simplify.

our new equation is going to be -25/20 + 16/20. Now we can add these together to get an answer of -9/20. Which is in the simplist form.

One more thing: to make a mixed number an improper fraction, you multiply the whole number by the denominator, and add the numerator.

1X4=4

4+1=5

The improper fraction is 5/4.

To make a Whole number a fraction, multiply the number by the denominator

-5x3=15

The improper is -15/3.

To go from an improper to a mixed, divide the numerator by the denominator. The remainders are going to be the fraction attached.

Answer:

Step-by-step explanation:

12.7

Answer: if those are the smaller parts then the other side has to be as big as the 2 together or more and if the 13 is the biggest part the other has to be something plus the 4 that makes 13 or more

Step-by-step explanation:

Answer:

the possible lenths are 13 or more

Answer:

-7/3

Step-by-step explanation:

To find the slope, we use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 7 - -7)/(-3 -3)

    = ( 7+7)/( -6)

    = 14/-6

   = 7/-3

   = -7/3

Step-by-step explanation:

m = y2-y1 / x2-x1

= 7+7 / -3-3

= 14/-6

= -7/3

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

Learn more about Sample Survey here:

https://brainly.com/question/31670694

#SPJ1

Answer:

48/13

Step-by-step explanation:

To make this into an improper fraction, convert the integer into a fraction using the denominator of the fraction

3 * 13/13 = 39/13

Then add it to the rest of the fraction

39/13 + 9/13

= 48/13

Answer: 48/13

Step-by-step explanation: first multiply 3 x 13 to get 39. do this because you get the fraction for the whole number, 3. then, add 39 to the numerator (9). you will get 48/13. you do this because you are adding the whole number (3) to the fraction so that way it is an improper fraction.

6(2/9)

4(2/3)

18/54

8/12

=18/54

=8/12

u divided all

Let the number should be duvided be X

Given number = 6 2/9

⇛ (6×9+2)/9

⇛ (54+2)/9

⇛ 56/9

On dividing 56/9 by X then the result

= (56/9)/X

= 56/9X

According to the given problem

The result = 4 2/3 = 14/3

⇛ 56/9X = 14/3

⇛ 9X×14 = 56×3

⇛ 9X = 56×3/14

⇛ 9X = 4×3

⇛9X = 12

⇛X = 12/9

=⇛X = 4/3 or 1 1/3

Answer↓

The required number is 4/3 or 1 1/3

Check↓

On dividing 6 2/9 by 1 1/3

⇛ 6 2/9 ÷ 1 1/3

⇛ (56/9)÷(4/3)

⇛ (56/9)×(3/4)

⇛ (56×3)/(9×4)

⇛ 14/3

⇛4 2/3

Verified.

Answer:

Answer ️️

Step-by-step explanation:

5.1÷104 = 4.903846154

Answer:

A, C and E

Step-by-step explanation:

that's your answer for this question

Answer:

The first box : -4  the second one : 6

Step-by-step explanation:

subtract 7 from 3 for the first box, then add 10 to -4 for the second one.

Answer:

The area of this circle is \((\frac{\pi}{2} )\)  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

Step-by-step explanation:

Area of the circle is given by;

\(A_c = \frac{\pi d^2}{4}\)

Area of the square is given by;

\(A_s = L^2\)

relationship between the edge length of the square, d, and length of its side, L,

\(d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}\)

But area of the square , \(A_s = L^2\)

\(d = \sqrt{2A_s}\)

Then, the area of the square in terms of the edge length is given by;

\(A_s = \frac{d^2}{2}\)

Area of the circle in terms of area of the square is given by;

\(A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )\)

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

\(\phi _{circle} = E.(\frac{\pi d^2}{4})\)

Flux through the surface of the square is given by;

\(\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )\)

Therefore, Φsquare is \((\frac{2}{\pi} )\) ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is \(\dfrac{2}{\pi}\)  ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

\(\rm Area \ of \ circle = \dfrac{\pi d^2}{4}\)

The area of the square is;

\(\rm Area \ of \ square = a^2\)

The relationship between the edge length of the square, d, and length of its side a is;

\(\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a\)
The area of the circle in terms of the area of the square is;

\(\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square\)

If the circle has the same diameter as the edge length of the square, then the area of this circle is \(\rm \dfrac{\pi }{2}\) the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

\(= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }\)

To know more about Flux click the link given below.

https://brainly.com/question/5932170

Answer:

6.21

Step-by-step explanation:

tha ratio 2.97/2.2 has to be the same as x/4.6.

so the new lenght, x, is 4.6×(2.97/2.2)

\(\stackrel{ \textit{ratio of (L)ength to (w)idth of old phone} }{\stackrel{L}{2.2}~~ : ~~\stackrel{w}{4.6}\qquad \implies \qquad \cfrac{L}{w}~~ = ~~\cfrac{2.2}{4.6}} \\\\\\ \stackrel{\textit{Length of new phone}}{2.97}\qquad \stackrel{\textit{keeping the same ratio}}{\cfrac{2.97}{w}~~ = ~~\cfrac{2.2}{4.6}} \\\\\\ (2.97)(4.6)=2.2w\implies \cfrac{(2.97)(4.6)}{2.2}=w\implies \stackrel{ new~width }{6.21=w}\)