PLEASE HELP!!!! What is the interquartile range (IQR) of the data set represented by this box
plot?

Answers:

128 subsets

127 proper subsets

=========================================================

If we have a set A = {x is some integer such that 7 < x < 15}

Then set A can be written as A = {8, 9, 10, 11, 12, 13, 14}. This is called roster notation. We write every integer between 7 and 15, excluding both 7 and 15.

There are 7 items in set A. So n = 7

This means there are 2^n = 2^7 = 128 different subsets possible

And there are (2^n) - 1 = (2^7) - 1 = 128-1 = 127 different proper subsets. A proper subset is a subset that is smaller than the original set

By evaluating a linear equation, we can complete the table:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

We know that her membership fee costs $80.00, and it allows her to get her hair done for $26.00 for each visit, so if she does x visits, then the total cost for these x visits (including the membership fee) is:

c(x) = $80.00 + $26.00*x

So we have a linear equation that models the total cost.

Evaluating the equation in the values of the table we will get the other values.

c(2) = $80 + $26*2 = $132

c(4) = $80 + $26*4 = $184

c(5) = $80 + $26*5 = $210

c(8) = $80 + $26*8 = $288

Then the complete table is:

Number of visits   |  total cost

      2                            $132

      4                            $184

      5                            $210

      8                            $288

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the lower class limit represents the smallest data value that can be included in the classThe statement is true.

The lower class limit is the smallest value that can be included in a class interval.

Therefore, the statement is correct.

The lower class limit represents the smallest data value that can be included in a particular class. In a frequency distribution table, data values are grouped into classes, and each class has a lower and upper class limit. The lower class limit denotes the lowest value within that class, and any data value equal to or greater than the lower limit but less than the upper limit falls into that class.

The statement is true, as the lower-class limit indeed represents the smallest data value that can be included in the class.

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Answer:

is this answer

Step-by-step explanation:

5(m+1)-1

5m+5-1

5m-4

Answer:

10 to the power of 6 = 10^6

Step-by-step explanation:

just count the number of times 10 is repeated

in this case 6 times

10^6

Step-by-step explanation:

when you have a problem you can tell me please follow

Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

We need to find the general solution of the above PDE. Let's solve the above PDE by the method of characteristic. Let us first solve the PDE by using the method of characteristics.

The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations. To use this method, we first need to find the characteristic curves of the given PDE. Thus, the characteristic curves are given by $x = t + c_1$.

Now, we need to eliminate $t$ from the above equations in order to obtain the general solution. By eliminating $t$, we get the general solution as:$$u(x,y) = f(2x - 3y) + 3(x - 2y)$$ where $f$ is an arbitrary function of one variable. Hence, the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$ is given by the above equation. Thus, the main answer to the given question is $u(x,y) = f(2x - 3y) + 3(x - 2y)$. In order to find the general solution of the PDE $u_{xx} - 2u_{xy} - 3u_{yy} = 0$, we first used the method of characteristics. The method of characteristics is a well-known method that provides a solution to the first-order partial differential equations.

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The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.

Orange :  Lemonade

  3  :  5

After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;

Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)

(3 x 6L)  :  (5 x 6L)

18L  :  30L      

total fizzy juice = 18L + 30L = 48 liters

bottle of orange = (18 L ÷ 2 L) = 9 bottles

bottle of lemonade = (30 L ÷ 3L ) = 10 bottles

cost of orange = 9 x £1.20 = £10.8

cost of lemonade = 10 x £1.50 = £150

Total cost = £10.8 +  £150 =  £25.80 =  2580 P

250 mL = 0.25 L

0.25L(n) = 48 L

n = 48/0.25

n = 192 bottles

cost = 2580 P/192

cost = 13.44 P

A = 100%(initial cost) + 60%(initial cost)

A = 160%(initial cost)

A = 1.6(initial cost)

A = 1.6 x 13.44 P

A = 21.5 P ≈ 22 P

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Last option: The height and weight distributions, respectively, show positive and negative skews.

We know that,

Graphs are used to represent information in bar charts. To depict values, it makes use of bars that reach various heights. Vertical bars, horizontal bars, clustered bars (multiple bars that compare values within a category), and stacked bars are all possible options for bar charts.

we have,

There isn't a lot of data, but it shows that the weights have a negative skew and the heights have a positive skew, with the long tails pointing in opposite directions.

change/ starting point * 100

2.5 millions of books were sold in 1991.

Millions of books sold in 1992 equaled 3.4.

Change = 0.9 (in millions).

0.9/2.5 * 100

= 36%

The height and weight distributions, respectively, show positive and negative skews.

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Answer:

x=1/35

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

I just did it

Answer:

-8i + 12

Step-by-step explanation:

-4i(2 + 3i) = -8i - \(12i^{2}\) = -8i - 12 * (-1) = -8i + 12

Answer:

12−8i

Step-by-step explanation:

-(-4 *3+4*2i)

-4*3=12

4*2=8

=12-8i

From the question

We are given the dimensions of the ice tray to be

The ice tray is

1 inch deep

9 inches long

3 Inches wide

We are to find how many cubic inches of ice will the tray hold

This means we are to find the volume

The volume will be calculated using

Where

Hence

Therefore,

The ice tray will hold 27 cubic inches of ice

Answer:

Step-by-step explanation:

Neither.

It is a complex number. The - sign is the culprit. sqrt(-144) = i * sqrt(144) = 12 i

The "i" is an imaginary representation for the square root of -1. It is a definition for sqrt(-1). So a new category of number has been created. The ancients would have been profoundly surprised to learn that such a thing existed.

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Let's split this up into two shapes: a half-circle and a triangle.

First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.

A = 1/2 * 3.14 * 8^2

A = 1/2 * 3.14 * 64

A = 3.14 * 32

A = 100.48 m^2

Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.

A = 1/2 * 12 * 8

A = 6 * 8

A = 48 m^2

Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.

100.48 + 48

148.48 m^2

Hope this helps!! :)

Step-by-step explanation:

area of the triangle

\( \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48\)

area of the half circle

\( \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48\)

area of entire shape

\(48 + 100.48 \\ 148.48 {m}^{2} \)

Answer:

264

Step-by-step explanation:

End result 200,

200 minus 68 added is 132, go back a day with double the chips is 264

The equations given are x - 5y = 3 and 3x - 2y = -4. To find the solution to this system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

One way to solve this system of equations is by substitution. We can solve one equation for x or y, and then substitute that expression into the other equation to eliminate one variable. Let's solve the first equation for x:

x - 5y = 3

x = 5y + 3

Now we can substitute this expression for x into the second equation:

3x - 2y = -4

3(5y + 3) - 2y = -4

15y + 9 - 2y = -4

13y = -13

y = -1

We can now substitute this value for y back into either equation to find the value of x:

x - 5y = 3

x - 5(-1) = 3

x + 5 = 3

x = -2

Therefore, the solution to the system of equations x - 5y = 3 and 3x - 2y = -4 is (-2, -1). This is the point where the solid line and dotted line intersect, as shown in the image.

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with 4 df.

The correct answer is d. Two-sample t test with 9 df.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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1/2 ef sinG is the expression that correctly represents the area of triangle EFG. Select option d.

Given: the triangle EFG as shown in the image

The formula for the Area of triangle is:

A = 1/2 × base(b) × height(h)  

Area of EFG = 1/2 × f × h

Using trigonometric ratio:

sin G = h/e     (opp. / hyp.)

h = e sin G

put h = g sin E into the Area of EFG:

Area of EFG = 1/2 × f × e sin G = 1/2 ef sin G

Therefore, the expression correctly represents the area of EFG is 1/2 ef sinG

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Answer:

28%

Step-by-step explanation:

1800/2500 = 0.72

0.72 = 72%

100% - 72% =  28%

\(\frac{8}{5}\) Converted to decimal is 1.6

Answer:

The expression of tan θ in terms of x for the triangle is x/√(52 - x²)

From the question, we have the following parameters that can be used in our computation:

The right triangle

The tangent of an angle is calculated as

tan angle = opposite/adjacent

Where we have

y² = 52 - x²

This gives

y = √(52 - x²)

In this case, we have

opposite = x

adjacent = y = √(52 - x²)

So, we have

tan θ = x/√(52 - x²)

Hence, the expression of tan θ in terms of x for the triangle is x/√(52 - x²)

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Answer:

C

Step-by-step explanation:

did it on edge

Answer:

B, A

Step-by-step explanation:

In the first equation, if an unknown number plus 17 equals 66, then what step would you take?

For example, if an unknown number plus 2 equaled 3, then you would know that number is 1, right? What steps did you take to get that? You subtracted 2 from both sides.

In this example, if x + 17 = 66, then subtracting 17 from both sides gets us x = 49.

The same applies for the second example. If x minus 54 equals 125, then you would add 54 to get x = 179.

Answer:

32

Step-by-step explanation:

add 12 + 6 + 14