Expanded form for 4082 × 1/10=

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median.

A whisker plot, also known as a box and whisker plot, is a graphical representation of a set of numerical data through their quartiles. The plot consists of a box with whiskers extending from the top and bottom, showing the spread and distribution of the data. The five-number summary, which includes the minimum value, first quartile (Q1), median, third quartile (Q3), and maximum value, is used to create the whisker plot.

Here,

To create a box and whisker plot, we need to find the five-number summary of the data set, which includes:

Minimum value: the smallest value in the data set.

First quartile (Q1): the median of the lower half of the data set.

Median: the middle value in the data set.

Third quartile (Q3): the median of the upper half of the data set.

Maximum value: the largest value in the data set.

First, we need to put the data in order:

10, 12, 14, 15, 16, 18, 22, 24, 25, 28

The minimum value is 10 and the maximum value is 28.

The median is the middle value, which is 18.

To find the first quartile, we need to find the median of the lower half of the data set, which is:

10, 12, 14, 15, 16

The median of this lower half is 14.

To find the third quartile, we need to find the median of the upper half of the data set, which is:

22, 24, 25, 28

The median of this upper half is 24.

So, the five-number summary for this data set is:

Minimum value = 10

First quartile (Q1) = 14

Median = 18

Third quartile (Q3) = 24

Maximum value = 28

Now we can use this information to create the box and whisker plot:

      |          |      

 ----+----+----+----+----

    10   14   18   24   28

The box in the middle of the plot spans from the first quartile (Q1) to the third quartile (Q3), with a line inside representing the median. The whiskers extend from the box to the minimum and maximum values in the data set.

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Answer:

2251.86

Step-by-step explanation:

hope this works

The multiplication is gives 2400.

Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value.

Given number:

288.7 x 7.8

Now, rounding to 1 significant figure

288. 7 = 300

7.8 = 8

So, the multiplication is as follows:

=300* 8

= 2400

Hence, the multiplication is 2400.

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Answer:

C

Step-by-step explanation:

All others can be proved false.

The value of k in the cuboid is 7 cm when the volume is 196cm³.

The space taken up by any three-dimensional solid constitutes a volume, to put it simply. They can be a cube, cuboid, cone, cylinder, or sphere.

The volumes of various shapes vary. In three-dimensional geometry, we have examined a variety of solids and shapes that are defined in three dimensions, including cubes, cuboids, cylinders, cones, etc. We are going to learn to calculate the volume for each of these shapes.

The volume of cuboid = l × b × h

Here,

4 × k × k = 196cm³

k² =  196/4

k² = 49

k = √49

k = 7

Thus, The value of k in the cuboid is 7 cm when the volume is 196cm³.

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Answer:

y≤−13/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

The roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

Using the quadratic formula to solve the quadratic equation \(3x^2 - 14x - 5 = 0\),we have

\(x = (-(-14) ± sqrt((-14)^2 - 4(3)(-5))) / (2(3))\\x = (14 ± sqrt(14^2 + 4(3)(5))) / (2(3))\\x = (14 ± sqrt(196 + 60)) / 6\\x = (14 ± sqrt(256)) / 6\\x = (14 ± 16) / 6\\\)

Therefore, the two roots of the quadratic equation in exact square root form are:

\(x = (14 + 16) / 6 = 5\\x = (14 - 16) / 6 = -1/3\\\)

Thus, the roots of the quadratic equation \(3x^2 - 14x - 5 = 0\), in exact square root form, are x = 5 and x = -1/3.

A quadratic equation is a second-degree polynomial equation in one variable of the form:

\(ax^2 + bx + c = 0\)

where x is the variable, and a, b, and c are constants. In this equation, the highest power of x is 2, and it is called the coefficient of x^2. The coefficient of x is b, and the constant term is c.

The quadratic equation is called "quadratic" because the highest power of x is a square (i.e., x^2), and the graph of the equation is a parabola.

The quadratic equation can have zero, one, or two real solutions, depending on the values of a, b, and c. The solutions can be found by using the quadratic formula:

\(x = (-b ± √(b^2 - 4ac)) / 2a\)

where the symbol ± means "plus or minus" and the square root is of the discriminant (b^2 - 4ac).

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The value of the radical √48 is 4√3.

Radical is a symbol (√) that denotes square roots and nth roots. The number inside the symbol is called Radicand and the expression containing the radical or a square root is called a Radical expression.

Here, we are given the radical √48

To find the value of the radical, we will factorize 48

i.e., 48 = 2×2×2×2×3

           = 16×3

Now, the square root of 48, that is, √48

                                                       = \(\sqrt{16\cdot3}\) =\(\sqrt{16} \cdot \sqrt{3}\)

We know 16 is a perfect square of 4, that is, the square root of 16= 4

⇒√16=4

Using this, we have √48= 4√3

The correct answer is 4√3.

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Answer:

x=3

Step-by-step explanation:

10+3x=2(3+4)+5

3x=2(7)-5

3x=14-5

3x=9

x=3

You're welcome sir

Explanation

Given the inequality

We can find its solution below.

Therefore; we will combine the intervals;

E(x) for the given data is  6.6 and p(x=0) =0.22 and variance is = 15.26

The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within an “x” period of time. In other words, we can define it as the probability distribution that results from the Poisson experiment. A Poisson experiment is a statistical experiment that classifies the experiment into two categories, such as success or failure. Poisson distribution is a limiting process of the binomial distribution.

mean = 9 on a rainy day

mean=3 on a dry day.

Let X denote the number of traffic accidents tomorrow. If it will rain tomorrow with a probability of 0.6,

a)

E[x]= E[X|R]+E[X|D}

E[X]=0.6*9-0.4*3

=5.4-12=6.6

B)

X is equal to zero. Why is it called a small way?

P(Y)=e^(-9*0.6+3*0.4).

P(X=0)=0.22

part C.

He had variance affected also missing. So I will calculate that,

V(x)=x2-E(x) =15.26.

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The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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Answer:

its 2

Step-by-step explanation:

rise/run. it goes up one and over .5 each time, so 1÷0.5=2.

Student A rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.

Student B did not rewrite the expression correctly. When the factor is multiplied by the quotient, it does not yield the dividend.

Student C rewrote the expression correctly. When the factor is multiplied by the quotient, it yields the dividend.

The expression when it is rewritten is 4x²(9x + 4x³)

The factor of a number is a number that perfectly divides a number. A common factor is a factor that two or more numbers share. An example of a common factor of 10 and 20 is 10.

In order to determine if the students rewrote the expressions correctly, use the distributive property to determine if it would yield the initial expression. If it does, the students are correct.

Student A = 4x³(9 + 4x²) = 36x³ + 16\(x^{5}\)

Student B = 3x²(12x + 2x³) = 36x³ + 6\(x^{5}\)

Student C = 2x(18x² + 8\(x^{4}\)) = 36x³ + 16\(x^{5}\)

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Answer:

This is the answer for your question. I hope it helps you!!!! Pls Mark as the brainliest answer!!!

Step-by-step explanation:

Simplifying

Cy + -5 = -3d + 6y

Reorder the terms:

-5 + yC = -3d + 6y

Solving

-5 + yC = -3d + 6y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6y' to each side of the equation.

-5 + -6y + yC = -3d + 6y + -6y

Combine like terms: 6y + -6y = 0

-5 + -6y + yC = -3d + 0

-5 + -6y + yC = -3d

Add '5' to each side of the equation.

-5 + -6y + 5 + yC = 5 + -3d

Reorder the terms:

-5 + 5 + -6y + yC = 5 + -3d

Combine like terms: -5 + 5 = 0

0 + -6y + yC = 5 + -3d

-6y + yC = 5 + -3d

Reorder the terms:

-5 + 3d + -6y + yC = 5 + -3d + -5 + 3d

Reorder the terms:

-5 + 3d + -6y + yC = 5 + -5 + -3d + 3d

Combine like terms: 5 + -5 = 0

-5 + 3d + -6y + yC = 0 + -3d + 3d

-5 + 3d + -6y + yC = -3d + 3d

Combine like terms: -3d + 3d = 0

-5 + 3d + -6y + yC = 0

The solution to this equation could not be determined.

Answer:

option 2, 3, and 5

Step-by-step explanation:

Any equation that has an exponent would not be linear

Problem 11

A = old amount  = 5000

B = new amount = 6500

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (6500-5000)/5000 ] * 100%

C = (1500/5000) * 100%

C = 0.3*100%

C = 30%

We have a percent increase because C is positive.

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

Problem 12

A = old amount  = 150

B = new amount = 135

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (135-150)/150 ] * 100%

C = ( -15/150 ) * 100%

C = -0.10*100%

C = -10%

The negative C value indicates a percent decrease.

Answer:

x = 7

Step-by-step explanation:

Answer:

x =7

Step-by-step explanation:

7x8 = 56. or 56÷8 is 7

Answer:

The green room is 12 (4x3)

The yellow room is 9 (3x3)

The red room is 12 (2x6)

Step-by-step explanation:

Answer:

Step-by-step explanation:

total interest paid is given as $4,643.46.

total payments = $429.95 x 36 months = $15,478.20

total lease payments = total payments - total interest

total lease payments = $15,478.20 - $4,643.46 = $10,834.74

Remaining balance = Total cost of the lease - Total lease payments

$23,495 - $10,834.74 = $12,660.26

Answer:

a

 \(E(Z) =  202 \)  

b

\(E(Z) = 198\)

c

\(E(Z) = -140  \)

Step-by-step explanation:

From the question we are told that

   The mean of X  is \( E(X)  =  20\)

   The standard deviation of X is  \(s_1 = 5\)

   The mean of Y  is \(\= y  =  40\)

    The standard deviation of Y is  \(s_2 = 10\)

Considering question a  

Generally the mean of   Z = 2 + 10X. is mathematically  represented

    \(E(Z) = E[2 + 10X ]\)

=> \(E(Z) =  2 +  10 E(X)\)

=>  \(E(Z) =  2 +  10 * 20 \)        

=>  \(E(Z) =  202 \)          

Considering question b

Generally the mean of   Z = 10X - 2.. is mathematically  represented  

        \(E(Z) = E[10X -2 ]\)

   => \(E(Z) = 10E(X) - 2\)

  =>  \(E(Z) = 10* 20  - 2\)

  =>  \(E(Z) = 200  - 2\)

 =>  \(E(Z) = 198\)

Considering question c

Generally the mean of   -3X - 2Y is mathematically  represented

     \(E(Z) = E[-3X -2Y ]\)

     \(E(Z) = -3 E(X) -2E(Y) \)

=>   \(E(Z) = -3 * 20 -2* 40 \)

=> \(E(Z) = -140  \)

Answer:

x = 65.26 degrees or x = 245.26 degrees.

Step-by-step explanation:

To solve the equation 4tan(x)-7=0 for 0<=x<360, we can first isolate the tangent term by adding 7 to both sides:

4tan(x) = 7

Then, we can divide both sides by 4 to get:

tan(x) = 7/4

Now, we need to find the values of x that satisfy this equation. We can use the inverse tangent function (also known as arctan or tan^-1) to do this. Taking the inverse tangent of both sides, we get:

x = tan^-1(7/4)

Using a calculator or a table of trigonometric values, we can find the value of arctan(7/4) to be approximately 65.26 degrees (remember to use the appropriate units, either degrees or radians).

However, we need to be careful here, because the tangent function has a period of 180 degrees (or pi radians), which means that it repeats every 180 degrees. Therefore, there are actually two solutions to this equation in the given domain of 0<=x<360: one in the first quadrant (0 to 90 degrees) and one in the third quadrant (180 to 270 degrees).

To find the solution in the first quadrant, we can simply use the value we just calculated:

x = 65.26 degrees (rounded to two decimal places)

To find the solution in the third quadrant, we can add 180 degrees to the first quadrant solution:

x = 65.26 + 180 = 245.26 degrees (rounded to two decimal places)

So the solutions to the equation 4tan(x)-7=0 for 0<=x<360 are:

x = 65.26 degrees or x = 245.26 degrees.

Answer:

18

Step-by-step explanation:

5x+90=180

5x=90

x=18

Can i get brainliest?

Hi there!

\(\large\boxed{x = 18}\)

3x + 2x + 90 = 180

Begin by combining like terms:

5x + 90 = 180

Subtract 90 from both sides to isolate for x:

5x + 90 - 90 = 180 - 90

5x = 90

Divide both sides by 5 to further isolate:

5x/5 = 90/5

x = 18.

Answer:

The common ratio is 4

Step-by-step explanation:

To find the common ratio take the second term and divide by the first term

-20/-5 = 4

To verify take the third term and divide by the second

-80/-20 = 4

The common ratio is 4

Answer:

4

Step-by-step explanation:

To find the common ratio, divide one term by the term before it.

-20 ÷ -5 = 4

-80 ÷ -20 = 4

Each number is multiplied by 4 to get to the next number.

I hope this helps :))

Answer:

Y=x-3/4

Step-by-step explanation:

slope intercept form

(slope=x)(1x=x)

Answer:

\(Length = 18m\)

\(Width = 10m\)

Step-by-step explanation:

Given

\(Area = 180m^2\)

\(Width = Length - 8\)

Required

Determine the Length and the Width

Represent Width with W and Length with L;

So, we have:

\(Area = L * W\)

\(Area = L * (L - 8)\)

\(180 = L * (L - 8)\)

\(180 = L^2 - 8L\)

\(L^2 - 8L - 180 = 0\)

Expand

\(L^2 - 18L + 10L- 180 = 0\)

\(L(L - 18) + 10(L- 18) = 0\)

\((L + 10)(L- 18) = 0\)

Split

\(L + 10 =0\) or \(L - 18 = 0\)

\(L = -10\) or \(L = 18\)

But length cant be negative:

So,

\(L = 18\)

Recall that:

\(Width = Length - 8\)

\(W = 18 - 8\)

\(W = 10\)

Hence:

\(Length = 18m\)

\(Width = 10m\)

The dimension of the rectangular garden is 8m by 10m

The formula for calculating the area of the rectangular garden is expressed as;

A = lw

l is the length

w is the width

If the width of the garden must be 8 meters less than the length, then;

w = l - 8

Substitute into the formula;

180 = l(l-8)

180 =l^2 - 8l

l^2-8l - 180 = 0

Factorize the result;

l(l+10)-8(l+10) = 0

(l-8)(l+10)=0

l = 8 and -10

Since A = lw

w = A/l

w = 180/8

w = 10

Hence the dimension of the rectangular garden is 8m by 10m

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Answer:

(a) After 9 months, the unpaid balance is $125,874.09.

(b) Over the 9 months, she paid a total of $4,918.56 in interest.

To create the amortization table, we can use the formula for calculating the monthly payment of a loan:

P = (r * A) / (1 - (1 + r)^(-n))

where:

P = monthly payment

r = monthly interest rate

A = loan amount

n = total number of payments

In this case, we have:

A = $128,000.00

n = 25 years * 12 months/year = 300 months

r = 5.3% / 12 = 0.00441666667

Using the formula, we can calculate the monthly payment:

P = (0.00441666667 * $128,000.00) / (1 - (1 + 0.00441666667)^(-300))

P = $770.82

Now, we can create the amortization table: