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Answer:

The mean number of books to a box is 11.

Step-by-step explanation:

Given - Garth is packing boxes with books. The list shows how many books are in each of 10 boxes.

6, 14, 6, 18, 9, 9, 12, 10, 11, 15

To find - Which statement is true about the number of books packed to a box?

Solution -

Mean of number of books is equal to

= (6+ 14+ 6+ 18+ 9+ 9+ 12+ 10+ 11+ 15)/10

= 110/10

= 11

∴ we get

The mean number of books to a box is 11.

For Median -

Firstly, arrange the data into increasing order

6, 6, 9, 9, 10, 11, 12, 14, 15, 18

Now, we know that,

If total data(n) is even then median is the average of value at (n/2)th place and [(n/2 + 1]th place

Here n = 10

So,

Median is average of 10 and 11

i.e. Median = (10+11)/2

                  = 21/2 = 10.5

So,

Median number of books to a box is 10.5

∴ we get

The correct option is - The mean number of books to a box is 11.

Answer:

The mean number of books to a box is 11.

Step-by-step explanation:

Answer:

A = 38.5 units²

Step-by-step explanation:

the figure has one pair of parallel sides and is therefore a trapezium.

the area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

b₁ and b₂ are the parallel bases and h the perpendicular height between them.

here h = 7 , b₁ = 5 , b₂ = 6 , then

A = [tex]\frac{1}{2}[/tex] × 7 × (5 + 6) = 3.5 × 11 = 38.5 units²

Answer:

10.5

Step-by-step explanation:

3x - 9 = x + 12

Subtract x from both sides

2x - 9 = 12

ad 9 to both sides

2x = 21

Divide both sides by 2

x = 10.5

Answer:

[tex]these \: sides \: are \: equal \: (rhombus) \\ x + 12 = 3x - 9 \\ 2x = 21 \\ x = 10.5[/tex]

The maximum number of zeros is 2, and the x-intercepts are -9, 9.

The x-intercept is where the graph crosses the x-axis.

Here, we have,

The function is given as:

y=(x+9)(x-9)^2

The above function can be rewritten as:

y=(x+9)(x-9)(x-9)

The x-intercept is the point where the graph crosses the x-axis

To determine the x-intercepts, we remove the common factors

So, we have:

y=(x+9)(x-9)

Equate to 0

(x+9)(x-9)=0

Split

(x+9)=0 and, (x-9)=0

Solve for x

x=9 & x=-9

So, the maximum number of zeros is 2, and the x-intercepts are -9, 9.

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Set of value that belong to the Domain are: Values of Independent, Variable, Input Values

Set of value that belong to the Range are: Output Values, Values of Dependent Variables.

Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A->B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

Domain :

Values of Independent Variable

Input Values

Range :

Output Value

Values of Dependent Variables.

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Answer:

-6 < x <1 , (-6, 1)

Step-by-step explanation:

Answer:

x-3

Step-by-step explanation:

hope i helped, tell me if you get it right! :)

Answer:

it is not factorable

Step-by-step explanation:

There are no factors of 24 that will make -4, so it is not factorable

Answer:

2/5

Step-by-step explanation:

Rolling a number less than two means that you roll a 1.

1/10 is the answer to less than 2

Roll a number greater than 7 means you roll 8 9 or 10 that's 3 out of 10

Answer

1/10 + 3/10 = 4/10 = 2/5

Answer:

24/7

Step-by-step explanation:

tan 2t =+ 2 tan t) /( 1 - tan²t)

(2(-4/3))/(1- 16/9)

(-8/3)/(-7/9) = 24/7

From the inventory ratios of  24 8, 33.4 and 53.8 of  Dunn and Bradstreet report. It can be concluded that

The problem is seeking expression of ratios in percentage

Ratios represents part or share of a whole while percentage refers to a fraction of hundred

Calculation of the whole among the ratios 24 8 : 33.4 : 53.8 is done by adding up

= 24 8 + 33.4 + 53.8

= 108

Expressing as ratio 53.8 a percentage, we have

= 53.8/108 * 100

= 0.4981 * 100

= 49.81%

approximately 50%

We can therefore say that inventory of 53.8 or more is 50%

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Answer:

54

Step-by-step explanation:

ratio is 7:9

7=42

9=?

9×42÷7

Answer:

The mean number of customers that will arrive in a five-minute period is 2.

Step-by-step explanation:

a. What is the mean or expected number of customers that will arrive in a five-minute period

For one minute, the mean is of 0.4 customers.

So, using proportions, for 5 minutes, the mean is of 5*0.4 = 2 customers.

The mean number of customers that will arrive in a five-minute period is 2.

Answer:

-4

Sorry if this is wrong.

Answer: It is a reflection over the x axis!

Step-by-step explanation: The x axis is the horizontal line, so you reflect it over there. It is a reflection because you didn't rotate it, and you didn't translate it. You reflected the coordinates to the other side.

Answer:

180 degrees counter-clockwise and 180 degrees clockwise

Step-by-step explanation:

Answer:

k = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

given variation equation

y = kx

to find k substitute y = 3 and x = 4 into the equation and solve for k

3 = 4k ( isolate k by dividing both sides by 4 )

[tex]\frac{3}{4}[/tex] = k

Answer:

Area= 46,000

Permiter= 4,600

Step-by-step explanation:

The formula to find the area of a rectangle is Length(L) times Width(W).

So 2,000(L) times 23 (W)= 46,000.

The formula for perimeter is 2(l+w).

So you're going to go 2,000 + 23 = 2,300 times 2 which equals 4,600.

Hope that helped, have a great day!!

Answer: 441.32 currency units

Step-by-step explanation:

The CD changer costs 108 currency units and the Camera costs 364 currency units.

First add these up to find out the total price:

= 108 + 364

= 472 currency units

The sales tax is 6.5% and this needs to be deducted from the total to get the after-tax total:

= 472 * ( 1 - 6.5%)

= 441.32 currency units

The simplified expression is [tex]c^2 d^2 e^6 / b^8[/tex]

The given expression is [tex](a^0 b^-4 cde^3)^2[/tex]

We know that any number raised to the power of 0 is 1.

Therefore,[tex]a^0 = 1[/tex].

Also, any number raised to the power of -1 is its reciprocal.

Therefore, [tex]b^-4 = 1/b^4[/tex]

Simplifying the above expression we get

[tex](1*1/b^4 * cde^3)^2 = (cde^3/b^4)^2[/tex]

Now, we apply the rule that [tex](a^m * a^n) = a^(m+n)[/tex]

So, [tex](cde^3/b^4)^2 = c^2 d^2 e^6 / b^8)[/tex]

Hence the simplified expression is [tex]c^2 d^2 e^6 / b^8[/tex]

Please note, when an exponent is raised to another exponent, we can multiply the exponents, so [tex](a^m)^n = a^(m*n)[/tex]

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The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.

It is not always possible to interview or survey an entire population. Therefore, in many research studies, a portion of the population that is expected to represent the population is drawn and surveyed instead. The portion that is drawn is called the sample, and the method used to draw the sample is called the sampling method. Broadly, there are two types of sampling methods. The probability sampling method is a method wherein all members of the population have an equal probability to be selected to be included in the sample. The non-probability sampling method is a method wherein not all members of the population have an equal probability to be selected to be included in the sample. Instead, members are recruited into the sample based on the researcher's subjective and personal judgment.

Simple Random Sampling Method:

Simple random sampling method, sometimes abbreviated as SRS, is the purest form of probability sampling. Figuratively, it is like putting the names of the entire population in a hat and drawing each member from the hat with a blindfold. Therefore, every member of the population has an equal chance of being included in the sample.

Two-stage Cluster Sampling Method:

In the first stage of a two-stage cluster sampling method, the population is first divided into subgroups called clusters. For instance, the population is divided into subgroups based on geographic location. Unlike strata in stratified sampling, clusters are heterogeneous and each cluster is supposed to represent the heterogeneity of the population. These clusters are also known as primary sampling units or PSUs. In the second stage, the simple random sampling method is used to draw individuals from each of the PSUs to be included in the study sample.

Hence, The method illustrated in this example is not a simple random sampling method. Instead, it is a two-stage cluster sampling method.

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Answer:

C

Step-by-step explanation:

The double step class is in studio b

Answer:

C) The double step class is in studio A.

Step-by-step explanation:

Answer:

b= 106 or b= -58

Step-by-step explanation:

word sentence

82= b-24

solution b equals 106

or

word sentence 82= 24-b

solution b equals -58

So we're trying to find the equation of a line using the provided x and y values in the chart. We should start by finding the slope of the line, since that's easiest!

We know that the equation for slope is [tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

All we need to do is pick two points (two x and y coordinates) and respectively plug them into the equation! I want to note that it does not matter which two points you choose! You will always get the same slope!

Alright, so using the two points (-2, -17) and (0, 23) I'll calculate the slope!

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{23-(-17)}{0-(-2)}\\m=\frac{23+17}{0+2}\\m=\frac{40}{2}\\m=20[/tex]

(Just to prove that you can use any two points I'm going to do another example. The only thing you need to keep in mind is that y values are always on top and x values are always on the bottom! In this example I'm using (-6, -97) and (2,63)!)

[tex]m=\frac{63-(-97)}{2-(-6)}\\m=\frac{160}{8}\\m=20[/tex]

As we can see, no matter which points you use, it will always simplify to the same slope!

Now that we have the slope, we need to find the x and y intercepts! An x intercept is the point where y = 0 on the x-axis. A y intercept is the pint where x = 0 on the y-axis!

We already have a y intercept given to us, as you can see in the table there is a point (0, 23). This point is where x = 0! This will be our value next to the y in the equation. So so far, our equation looks like this:

[tex]y-23=20(x-x_1)[/tex]

And how do we know what the x intercept (x1) is? Well, we have a table full of values, so we can use those to plug in for y and x! I want to note again, you do not need to worry about which values you use! Just make sure you have your x and y straight and plug in whichever pair of coordinates you want! I will use the point (-2, -17).

[tex](-17)-23=20((-2)-x_1)\\-40=20(-2-x_1)\\-2=-2-x_1\\x_1=0[/tex]

So it looks like this line goes straight through the origin! If you want to confirm your findings, you can just use another point. This time I'll just use (2, 63)!

[tex](63)-23=20(2-x_1)\\40=20(2-x_1)\\2=2-x_1\\x_1=0[/tex]

This also makes sense to be our x-intercept value since if it was any other number, our y intercept would not be (0, 23) and the given values wouldn't be true anymore! (This is just another way to confirm that it's right!)

Therefore, our final equation is:

y - 23 = 20 (x - 0)

y = 20x + 23 (same answer, just in a different form)

Answer:

a₁₂₀ = 64.5 , S₁₂₀ = 4170

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = 0.5 , then

a₁₂₀ = 5 + (119 × 0.5) = 5 + 59.5 = 64.5

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

the sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ] , then

S₁₂₀ = [tex]\frac{120}{2}[/tex] [ (2 × 5) + (119 × 0.5) ]

      = 60(10 + 59.5)

      = 60 × 69.5

      = 4170

Answer:

y=(x+4)/3

Step-by-step explanation:

Answer:

x + 4 / 3

Step-by-step explanation:

There is a directly proportional relationship between the weight and total cost of bag of of lemons.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

When two variables are directly or indirectly proportional to one another, their relationship may be expressed using the formulas y = kx or y = k/x, where k specifies the degree of correspondence between the two variables. The proportionality constant, k, is often used.

As an illustration, we may write y = kx, where x is the amount of gas in gallons, y is the price in dollars, and k is the proportionality constant.

Given data :

One bag weighs 2.4 pounds and cost $5.28.

Another bag weighs 2.7 pounds and cost $5.94

2.4k = 5.28

k= 2.2

2.7k = 5.94

k = 2.2

k > 1

The weight and total cost of bag of of lemons is directly proportional, so when weight of lemon increases, the cost of lemon also increases.

Therefore, there is a directly proportional relationship between the weight and total cost of bag of of lemons.

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Answer:

increase amount = 32× 4.4%

= 32 × 4.4 ÷ 100

= 32 × 44 ÷ 1000

= 1.408

32 increased by 4.4% = 32 + 1.408 = 33.408

Answer: The answer is 29,446,941,856

Step-by-step explanation:

Answer:

Hello, the answer is 6, C.

Step-by-step explanation:

50 percent of 12 is 6.