The boxplot displays the arm spans for 44 students.
Which of the following is not a true statement?

There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.

According to the combination method, there are 6 ways for the selection to be made if one worker is to be a receptionist, one a secretary, and one a technical typist.

Combinations:

A combination is all about grouping. The number of different groups which can be formed from the available things can be calculated using combinations.

The standard form for calculating the combinations is,

[tex]^{n}C_{r}=\frac{n!}{r!(n-r)!}[/tex]

where,

0 ≤ r ≤ n.

This formula is sometimes also called as ncr formula.

Given,

An executive hires 3 office workers from 8 applicants.

Here we need to find how many ways can the selection be made if one worker is to be a receptionist, one a secretary, and one a technical typist.

Here we have to split the problem like the following,

We know that the total number of office workers is 3.

Like, if one worker is to be a receptionist, the the combination is like,

So, the value of n = 3 and r = 1.

Then, according to the ncr formula,

=> ³C₁ = [tex]\frac{3!}{1!(3-1)!}[/tex]

=> 3!/1!2!

=> (3 x 2 x 1) / 1 x 2 x 1

=> 3

Similarly,  if one worker is to be a secretary,

Here the value of n = 2 (Because we have already select one person as receptionist) and r = 1

So,

=> ²C₁ = (2!)/1!(2-1)!

=> (2x1)/ 1 x 1

=> 2

Similarly,  if one worker is to be a technical typist,

Here the value of n = 1 (Because we have already select one person as receptionist) and r = 1

So,

=> ¹C₁ = 1

Therefore, the total number of possible ways are,

=> 3 x 2 x 1

=> 6

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Given data:

The given figure of the trapezium.

The expression for the area of the trapezium is,

Thus, the area of the given trapezium is 360 sq-m.

We are asked to determine the arc length of HJ. To do that we will use the following formula:

Given two secant lines that intercept outside a circle as follows:

We have the following relationship:

Substituting the values we get:

Now, we multiply both sides by 2:

Now, we subtract 96 from both sides:

Solving the operations:

Now, we multiply both sides by -1:

Therefore, the measure of the arc length of HJ is 38.

Reflection across the y axis the y coordinate values remains the same but the x coordinates value changes sign. For example

Therefore,

Set D has an error.

The concentration of A 0.29M and Concentration B  0.755M  that the initial concentration of a is 1.0 moll−1 and that no b is present at the beginning of the reaction.

a A (g)⇔ b B (g)          k =2.4

when a= 1  and b= 1

                         A⇔B

initial                  1      0

concentration

change             -x       +x

equilibrium       1-x        x

concentration  

so, k = [tex]\frac{B}{A}[/tex] = [tex]\frac{x}{1-x}[/tex]= 2.4

x = 2.4 (1-x)

x = [tex]\frac{2.4}{3.4}[/tex] = =0.755

The equilibrium concentration are

concentration of A  = 1-x = 1- 0.755 = 0.29M

Concentration B =  x = 0.755M

The first measured the concentration of the compound in the substance.

The best way to determine the rate constant k for a first-order half-life  is to determine the half-life using experimental data. This is because the first-order half-life is independent of the initial concentration of its initial value. So based on the above relationship, the half-life of a first-order reaction does not depend on the initial  concentration.

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Answer:

A. y - 2 = 2/3 (x - 0)

Step-by-step explanation:

The outer perimeter of the no-slip surface is equal to 78 feet.

Perimeter is a term used to describe the sum of the outside edge lengths or it can also be described as the whole of the outer edge or boundary.

The outer perimeter of this swimming pool can be determined by adding 3 feet twice to all the sides of the rectangular swimming pool and then adding these sides together.

Since it is a 12-ft-by-15-ft rectangular swimming pool, this means that two sides of this swimming pool are 12 feet and two sides of this pool are 15 feet, therefore;

12 + 6 = 18

15 + 6 = 21

Now the perimeter can be determined by adding all the sides as follows;

18 + 21 + 18 + 21 = 78 feet

Hence, the outer perimeter of the no-slip surface is calculated to be 78 feet.

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The measure of angle UVX is 30°

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. The arc is centered at the vertex and defined by the sides in the case of a geometric angle.

Given, measure of angle UVW = 72°

measure of angle XVW = 42°

So, the measure of angle UVX = 72° - 42° = 30°

Hence, the measure of angle UVX is 30°

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The area of a circle can be calculated as follows:

Using the area given in the problem and solving for the radius r:

Finally, the diameter is twice the radius:

Then the answer is the first option 3.27 in

Answer:

45%

Step-by-step explanation:

In a class of 20 students, 5 have a brother and 11 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who does not have a brother has a sister?

P (no bro / yes sis) = P(no bro) - P(sis and bro)

       = 12/20 - 3/20

       = 9/20

       or 45%

Answer:

0

Step-by-step explanation:

Whole numbers are 0.1.2.3...  Follows that pattern forever.

Answer:

a.) Let x be Kim's sister's age.  Kim's age would therefore be 2x.

b.) 2x + x = 36

c.) 2x + x = 36  

          3x = 36

             x = 12

d.) So Kim's sister (x) is 12.

e.) Since Kim's age is 2x, Kim is 24.

Step-by-step explanation:

See above.

The simplified form of the given expression is option c 1 1/2x - 1 3/4

Given,

The expression; 1/4 (3x - 7) + 3/4x

We have to simplify this expression;

Simplification of expressions;

To simplify a phrase, create an equivalent expression without any terms that are identical. The expression will then be rewritten using the fewest terms feasible.

Then,

1/4 (3x - 7) + 3/4x

= 1/4 × 3x - 1/4 × 7 + 3/4x

= 3/4x - 7/4x + 3/4x

= 6x/4 - 7/4

= 3x/2 - 7/4

= 1 1/2x - 1 3/4

Therefore,

The simplified form of the given expression is option c 1 1/2x - 1 3/4

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Answer:

2y-4x=6

Step-by-step explanation:

it can be correct i dk

Jacinda get 12% of commission

How to find percentage :

The cost of shoe that customer purchased is $259.50

The amount that Jacinda get commission is $31.14

To calculate the percentage of commission divide 31.14 by 259.50 and multiply by 100.

That is percentage of commission = 31.14/259.50 * 100

                                                         = 12%

Jacinda get 12% of commission.

What is percentage ?

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The correct statement about the function is the y-intercept is (0.71), and 71 represents the starting temperature.

A graph can be described as a pictorial representation of data. A graph has a y-axis and a x-axis. The x-axis in this question represents time and the y-axis is the temperature.

The function shown in the graph is a linear function. This is because the curve is a straight line.  The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero. The y-intercept represents the initial temperature or the starting temperature.

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Assume grapes cost $2.35 per pound, oranges cost $0.99 per pound, and apples cost $1.65 per pound in exercise 13. Adrian paid a total of $5 for the fruits.

Therefore,

The cost of Grapes = $2.35 per pound

The cost of Oranges = $0.99 per pound

The cost of Apples = $1.65 per pound

If Adrian purchased one pound of each fruit,

He paid:

$2.35 + $0.99 + $1.65 = $4.99 = $5 (Approx.)

So, Adrian paid $5 in total for the fruits.

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The profuct of the given expression (x-2)³ is (x³ - 6x² + 12x - 8).

So, (x-2)³:

Do, the product as follows:

Perfect cube root formula: (a - b)³ = a³ - 3a²b + 3ab² -b³

Simplify:

Therefore, the profuct of the given expression (x-2)³ is (x³ - 6x² + 12x - 8).

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Answer:

x= −20

Step-by-step explanation:

The solution is x = 38

The equation to measure the value of x is ( 2x - 15 )° + ( 3x + 5 )° = 180° and the value of x = 38 from the two angles

What are angles in parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line. The intersecting line is known as transversal line.

We can conclude three factors determining parallel lines ,

Alternate angles are equal

Corresponding angles are equal

Co-interior angles add up to 180°

Same side exterior angles are supplementary

Given data ,

Let the first angle be represented as A

Now , the value of A is = ( 2x - 15 )°

Let the second angle be represented as B

Now , the value of B is = ( 3x + 5 )°

The angles A and B are on the same side of the exterior angles

And , lines a and b are parallel

So , When two parallel lines are intersected by a transversal, the angles that are exterior to the parallel lines and on the same side of the transversal line are supplementary

Substituting the values in the equation , we get

( 2x - 15 )° + ( 3x + 5 )° = 180°

On simplifying the equation , we get

2x - 15 + 3x + 5 = 180

5x - 10 = 180

Adding 10 on both sides of the equation , we get

5x = 190

Divide by 5 on both sides of the equation , we get

x = 190/5

x = 38

Therefore , the value of x is 38

Hence , the value of x from the equation is 38

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The factors of the quadratic equation are found as the 7 and -3/2

For the given question, the quadratic equation is give as;

2x² - 11x - 21 = 0

Find the factors of -21×2 = 42 such that on subtraction it gives -11.

2x² - 14x + 3x - 21 = 0

Take 2x common from the first two terms and 3 from the last two terms.

2x(x - 7) + 3(x - 7) = 0

Take (x - 7) common from the terms.

(x - 7)(2x + 3) = 0

Then,

x - 7 = 0

x = 7

and, 2x + 3 = 0

x = -3/2

Thus, the factors of the quadratic equation are found as the 7 and -3/2.

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Answer:

3x

Step-by-step explanation:

Using a piecewise function, it is found that:

a. The rule is:

b. C(75) = 36.25.

c. C(100) = 27.

d. A practical domain for the function is integer values of w ≥ 0

e. A practical range the function is C(w) ≥ 0.

A piecewise-defined function is a function that has different definitions, depending on the input of the function.

For 0 to 50 wristbands, which is the first definition of the function, the cost is of $0.75 per each wristband, hence the definition is:

C(w) = 0.75w, 0 ≤ w ≤ 50.

From 51 to 75 wristbands, which is the second defition of the function, the cost is of $0.35 per each wristband plus the $10 shipping fee, hence:

C(w) = 0.35w + 10, 51 ≤ w ≤ 75.

For more than 75 wristbands, which is the third definition of the function, the cost is of $0.2 per wristband plus the $7 shipping fee, hence:

C(w) = 0.2w + 7, w > 75.

The numeric values are as follows:

The domain and the range of the function are as follows:

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The expression to find the population of fruit flies on 6th day in Lavania's laboratory can be (9+5x) where x is the number of fruit flies on the first day. After evaluating the expression, the number of fruit flies on 6th day will be 109.

According to the question,

We have the following information:

Lavania observes 20 fruit flies on the first day of her study.

On 6th day, the number of fruit flies would be nine more than 5 times as many fruit flies as when she begun her study.

Now, let's take the number of fruit flies on first day to be x.

So, we have:

x = 20

Now, the expression to find the number of fruit flies on 6th day would be:

9+5x

Now, putting the value of x:

9+5*20

9+100

109

Hence, the required expression is (9+5x) and the number of fruit flies on 6th day are 109.

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Answer:

x = 40

Step-by-step explanation:

x = 8 x 5

x = 40

that's it

A 30% percentage of the total price was taken off the TV.

So, the percentage is taken off from TV:

$1,420 - $994 = $426

Formula: (original price - decreased price)/original price × 100

Now, substitute values as follows:

Now, 100% - 70% = 30%

Therefore, a 30% percentage of the total price was taken off the TV.

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Notice that in the given sequence the difference between the first two terms is 7 so the solution must be in terms of multiples of 7 plus a constant. The only two options that have this characteristic are first and last ones, for the sum to consider the first term the sum must start for r=0.

Answer: last option.

Answer:

using the quadratic formula

Step-by-step explanation:

x= 3/2

I'm pretty sure it's 6>p-3

Answer: w<22

1. Group all constants on the right side of the inequality

2. Subtract  from both sides

3. Simplify the arithmetic

4. Simplify the arithmetic

Answer:

w < 22

Step-by-step explanation:

w + 2 < 24

Step 1 : Subtract 2 on both sides.

w + 2 - 2 < 24 - 2

           w < 22

Hence, simplified