There are 680 restaurants in downtown Metropolis. 20% of them serve pizza. How many of them serve pizza?

The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

Learn more about the mean here:

https://brainly.com/question/30891252

#SPJ1

Find the complete question below.

Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

-2

Step-by-step explanation:

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

m=(10-2)/(-9-(-5))

m=8/(-9+5)

m=8/-4

m=-2

Please mark me as Brainliest if you're satisfied with the answer.

Answer:

4ft

Step-by-step explanation:

V=base*h= l*w*h substitute what you know

24=2*3*w

24=6*w divide both sides by 6

24/6=w

4=w

Answer:

0.343, 0.424, 0.443

Step-by-step explanation:

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

For more such questions on Amy:

https://brainly.com/question/25319846

#SPJ8

Answer:

No

Step-by-step explanation:

\(7^{-1}\) is a fraction

using the rule of exponents

• \(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(7^{-1}\) = \(\frac{1}{7^{1} }\) = \(\frac{1}{7}\) ← that is a fraction

Derrick will receive total of $340 from all of his deductions

To create a histogram for these values using four classes, we must first determine the class width, which is determined as the data range divided by the number of classes. The data range is 151 - 58 = 93, which is the difference between the biggest and smallest numbers. The breadth of the class is 93/4 = 23.25. We'll round it up to 24 because we can't have a fractional class width.

Then, for each of the four classes, we'll start with the smallest number (58) and add the class width (24) again until we reach the maximum value (151). The lowest class boundaries for the four classes are as follows:

Class 1: 58

Class 2: 82

Class 3: 106

Class 4: 130

We'll determine the upper class limit for each lower class limit by adding the class width (24) - 1. The upper class restrictions are as follows:

Class 1: 81

Class 2: 105

Class 3: 129

Class 4: 153

Finally, we'll tally the amount of deductions made in each class and utilise that data to create the histogram. Each class has the following number of deductions:

Class 1: 1 (58)

Class 2: 3 (97, 98, 101)

Class 3: 3 (103, 127, 144)

Class 4: 3 (144, 151, 65)

We can compute the total amount Derrick will earn from all of his deductions now that we know the number of deductions in each class. He will earn $25 for each deduction of less than $130, and $45 for each deduction of $130 or more.

Derrick will receive the following total from all of his deductions:

$25 * 1 (for the single deduction of less than $130) + $45 * 7 (for the seven deductions of $130 or over) = $25 + $315 = $340

For more such questions on Histogram, click on:

https://brainly.com/question/25983327

#SPJ4

Answer:

3/4

Step-by-step explanation:

2- 1 1/4= 3/4

Answer:

3/4

Step-by-step explanation:

Answer:

I think the answer is

x= -2

y= 2

Given:

The tallest living man at one time had a height of 233 cm. The shortest living man at that time had a height of 74.5 cm. Heights of men at that time had a mean of 176.75 cm and a standard deviation of 6.24 cm.

Required:

We need to find that which man had the height that was more​ extreme

Explanation:

The formula for z-score is

where

put the values for tallest

now for shortest

more the z-score more will be the extreme.

Final answer:

z-score for talles is 9.01

z-score for shortest is -16.39

and the extreme is tallest men

Answer:

-5/9

Step-by-step explanation:

The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things

Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work

Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.

If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.

\( \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} \)

Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

Answer:

It will take 12 years using simple interest

Step-by-step explanation:

2,500 x 1.7% = 42.5

42.5 x 12 + 510

2500 +510 +3010

Answer:

perpendicular

Step-by-step explanation:

This question only asks about the slope of the line, so the intercept doesn't matter. You can see that the slope of one line is 3x and the other is -3x so they're perpendicular

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

Learn more about distance here:

https://brainly.com/question/30694816

#SPJ1

The mistake is when you try to divide by X - 1, because you can't divide by zero.

Here we start by defining:

X = 1

The second step makes sense, we are adding the same value in both sides:

X + X = X + 1

2X = X + 1

Now subtract 2 in both sides:

2X - 2 = X + 1 - 2

2X - 2 = X - 1

Here is the mistake, you divide both sides by X - 1

But we already defined that X = 1

Then you are trying to divide by zero, and that opeartion is not defined, that is why you reach a false equation.

Learn more about divisions at:

https://brainly.com/question/25289437

#SPJ1

While an absolute value may be any number, the output from an absolute value expression is always greater than or equal to zero

The absolute value | x | of a real number x is defined as the non-negative value of x without regard to its sign. For example, the absolute value of 3 is 3, and the absolute value of −3 is also 3. The absolute value of a number may be thought of as its distance from zero along real number line.

The absolute value of any number is seen to be always greater than or equal to zero. Both a number and its opposite are the same distance from zero on the number line. Since they have the same distance from zero, they have the same absolute value.

Read more about Absolute Value Function at: https://brainly.com/question/3381225

#SPJ1

Answer:

The correct option is (B).

Step-by-step explanation:

The given statement is :

\(\sqrt[4]{2} =2^{\dfrac{1}{4}}\)

We need to select the correct simplification for this.

We know that, \(\sqrt[a]{x} =x^{\dfrac{1}{a}}\)

So,

\(\sqrt[4]{2} =(2)^{\dfrac{1}{4}}\)

Also, \((x^a)^b=x^{a\times b}\)

So,

\((2^{\dfrac{1}{4}})^4=2^{\dfrac{1}{4}}\times 2^{\dfrac{1}{4}}\times 2^{\dfrac{1}{4}}\times 2^{\dfrac{1}{4}}\\\\=2^{\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}}\\\\=2^1\\\\=2\)

So, these are the steps. Hence, the correct option is (B).

An Annual is not an example of an agreement.

Answer:

Below

Step-by-step explanation:

(x-10)^2 = 90     sqrt both sides

x-10  =  ± sqrt (90)

x  =   10 ± sqrt (90)

Answer:

m=79

t=54

Step-by-step explanation:

yes these are the answers

Answer:

angle  t =  54 degrees

angle m=79(alternate angles)

Step-by-step explanation:

angle p=126 degrees

angle z=79 degrees

angle p + angle t=180(allied angles)

      126 + t           =180

                t           =180-126

                        t =  54 degrees

u=79(vertically opposite angles)

therefore;

    angle m=79(alternate angles)

mean

The measures of centaral tendency: mean, median and the mode

The most used one is the mean.

The mean obtained here = 86%

median = 85%

mose = 81%

Since the measures are not in a scale, the mode cannnot be used.

Also there are no missing information in the data set and there are no extreeme outliers.

Most of the data are within the range of the mean gotten.

Hence, Mario should use the mean to convince his parents that he is a maths superstar.

Answer:

Scientific Notation: 3.45 x 10^5

E Notation: 3.45e5

Step-by-step explanation:

literally impossible to put in standard form

Answer:

5.625 = 45/8 = 5 5/8

Step-by-step explanation:

To solve the equation 7(x + 3) = 7(x + 5), we can start by simplifying both sides of the equation:

7x + 21 = 7x + 35

Subtracting 7x from both sides, we get:

21 = 35

This is a contradiction, as 21 is not equal to 35. Therefore, the equation has no solution.

However, the problem states that the equation has an infinite number of solutions. This can only happen if the missing number is a factor that appears on both sides of the equation, and therefore cancels out when we simplify the equation.

Looking at the equation, we can see that both sides have a factor of 7, which cancels out when we simplify the equation. Therefore, the missing number must be the factor that was torn off, which is 7 multiplied by the difference between the two numbers inside the parentheses:

7(5 - 3) = 14

Therefore, the missing number is 14, which corresponds to answer option B.

3. The factored polynomial is p(x) = (x - 1)(x - 5)

4. The factored polynomial is p(x) = (x + 3)²

A polynomial is a mathematical expression in which the power of the unknown is greater than or equal to 2.

3. To factorize the polynomial using the graph, we see that the polynomial cuts the x - axis at x = 1 and x = 5.

This implies that its factors are (x - 1) and (x - 5)

So, the factored polynomial is p(x) = (x - 1)(x - 5)

4. To factorize the polynomial using the graph, we see that the polynomial touches the x - axis at only one point x = -3. So,it has repeated roots

This implies that its factors are (x - (-3)) = (x + 3) twice

So, the factored polynomial is p(x) = (x + 3)²

Learn more about factorization of polynomial here:

brainly.com/question/30806486

#SPJ1

Answer:

y= 7 and -1

Step-by-step explanation:

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ1