What is the first quartile of the data set represented by the box plot shown
below?
13 20 25
A. 25
B. 40
C. 20
D. 13
40
48

Answer:

D

Step-by-step explanation: I did it

Answer:

89392i + 788

Step-by-step explanation:

The divide by 5 and the multiply by 5 cancel out, and we cannot simplify 89392i + 788 any further, since we don't know what i is. Therefore the answer is 89392i + 788.

Hope that helps!

Answer: Let's follow the same steps as in the previous example:

Identify the constants and the variables.

The known constant here is 4. Shailyn read 4 fewer books than Oswaldo. Let's call the number of books Oswaldo read "o".

Identify the operations.

The phrase "four fewer" tells us we need to subtract.

Rewrite the phrase as an expression.

"Four fewer books than Oswaldo" is o - 4.

So, the expression that shows how many books Shailyn read last year is o - 4.

Step-by-step explanation:

Using the formula of simple interest, the time it will take to accumulate to $3200 at a rate of 4.5% is 71.35 years

Simple interest is a method of calculating the interest charge on a loan or deposit. It is based on the principle of earning interest only on the initial amount (principal) that was borrowed or deposited.

The formula for simple interest is:

I = P * r * t

where:

I is the interest amount

P is the principal amount

r is the interest rate (expressed as a decimal)

t is the time period (in years)

Substituting the values into the formula;

A = P(1 + rt)

3200 = 760(1 + 0.045(t))

3200 = 760 + 34.2t

34.2t = 3200 - 760

34.2t = 2440

t = 2440 / 34.2

t = 72.35 years

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In 30 minutes the two friends 2 miles apart.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given that, Wendy headed due north at 3 miles per hour, and Roger hiked due south at 6 miles per hour.

We know that, Time= Distance/Speed

Now, T₁= 2/3

T₂= 2/6 =1/3

T=T₁-T₂

T=2/3+1/3

T=1/3

T=0.33 hours

= 30 minutes

Therefore, in 30 minutes the two friends 2 miles apart.

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Using the rules for matrix multiplication we will see that a₁₂ = 144

That would by the second element on the first row of the product matrix.

Remember how the product works, we will get:

a₁₂ = 24*2 + 32*3

a₁₂ = 48 + 96

a₁₂ = 144

The correct option is the last one.

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The correlation coefficient r of the data given is 0.938  

The correlation coefficient is a statistical measure of the strength of a linear relationship between two variables.

Given that a set of data showing the values of variables x and y, we are asked to find the correlation coefficient r of the data given,

We know that,

The correlation coefficient r is a number between and calculated to represent the linear dependence of two variables or sets of data.

Using an Excel tool :- (CORREL function) = CORREL(B3:B10,C3:C10)

We get, r = 0.938

Hence, the correlation coefficient r of the data given is 0.938  

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The exact perimeter of the segment is 54.13 inches, and the exact area of the segment is 301.44 square inches.

What is perimeter and area enclosed in circle?

A circle is also defined by two properties: area and perimeter. The formulas for both the measures of the circle are given by; Area of a circle = πr². The perimeter of a circle = 2πr.

Let's call the center of the circle O and the endpoint of the arc A. Let's also call the endpoint of the chord that defines the segment B. Then we have an isosceles triangle OAB, where OA = OB = 24 inches.

1) The perimeter of the segment is equal to the length of the arc plus the length of the chord. To find the length of the arc, we can use the formula:

Arc length = (Ф / 360) * 2πr,

where Ф is the measure of the angle in degrees, r is the radius (which is 24 inches in this case), and π is pi.

In this case, the measure of the angle is 60°, so the length of the arc is:

Arc length = (60 / 360) * 2π * 24 inches

Arc length  = (1/6) * 2π * 24 inches

Arc length  = 4π inches

To find the length of the chord, we can use the formula:

Chord length = 2r * sin(Ф/2), where r is the radius and Ф is the measure of the angle in radians.

First, we need to convert the angle measure from degrees to radians:

60° = 60 * (π / 180) radians = π / 3 radians

Now, we can find the length of the chord:

Chord length = 2 * 24 * sin(π / 6)

Chord length = 24 * 2 * sin(π / 6)

Chord length = 24 * √3 inches

Finally, we can add the length of the arc and the chord to find the perimeter:

Perimeter = 4π + 24 * √3

Perimeter = 4π+41.57

Perimeter = 54.13 inches

2) To find the area of the segment, we can use the formula:

Area = (Ф/ 360) * πr², where Ф is the measure of the angle in degrees and r is the radius.

In this case, the measure of the angle is 60°, so the area of the segment is:

Area = (60 / 360) * π * 24² square inches

Area = (1/6) * π * 576 square inches

Area = 96π square inches

Area = 301.44 square inches

So, The exact perimeter of the segment is 54.13 inches, and the exact area of the segment is301.44 square inches.

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Answer:

To find the value of b_n in an arithmetic sequence given by the recursive definition b_1 = 8 and b_n = b_{n-1} - 3, we can use the formula for the nth term in an arithmetic sequence:

b_n = b_1 + (n-1)d

where d is the common difference. In this case, d = -3.

So, we can plug in the values for b_1 and d to find b_n:

b_n = 8 + (n-1)(-3)

b_n = 8 - 3(n-1)

Now, to find the value of b_n for a specific n, we just need to substitute the value of n into the equation for b_n. For example, if we want to find b_14, we would substitute n = 14:

b_14 = 8 - 3(14-1)

b_14 = 8 - 3(13)

b_14 = 8 - 39

b_14 = -31

So, the value of b_14 is -31, and the answer is (1) 14.

Answer: no exact answer

Step-by-step explanation:

The result of fraction multiplication are:

2/3 x 2/5 = 4/15

4/2 x 6/3 = 4

2/4 x 3/6 = 1/4

2/3 x 6/3 = 4/3

Given that, simplify the following:

2/3 x 2/5

4/2 x 6/3

2/4 x 3/6

2/3 x 6/3

For the expression 2/3 x 2/5:

To multiply fractions, we multiply the numerators together and the denominators together.

So, (2 x 2)/(3 x 5) = 4/15.

For the expression 4/2 x 6/3:

Again, we multiply the numerators together and the denominators together.

Thus, (4 x 6)/(2 x 3) = 24/6 = 4.

For the expression 2/4 x 3/6:

Following the same process, we multiply the numerators and denominators.

Therefore, (2 x 3)/(4 x 6) = 6/24 = 1/4.

Lastly, for the expression 2/3 x 6/3:

Similarly, we multiply the numerators and denominators together.

Hence, (2 x 6)/(3 x 3) = 12/9 = 4/3.

Therefore, the result of fraction multiplication are:

2/3 x 2/5 = 4/15

4/2 x 6/3 = 4

2/4 x 3/6 = 1/4

2/3 x 6/3 = 4/3

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Answer: See the attached image below for the proof table.

Explanation:

We start with what we're given. Simply repeat the given information word for word. This is statement 1 of the proof.

Statement 2 mentions AB is parallel to CD. This is valid due to the definition of a parallelogram. The name means "two sets of opposite parallel sides. Statement 3 is a similar situation.

Statement 4 relies on statement 2. The red angles in the diagram are congruent alternate interior angles. They are only congruent because of AB parallel to CD.

Statement 5 relies on statement 3 for similar reasoning as the previous paragraph. Focus on the blue angles.

Statement 6 is hopefully self explanatory so there's not much for me to mention here.

Statement 7 has us connect statements 4, 5, and 6 to prove triangle ADB is congruent to triangle CBD. We use the ASA (angle side angle) theorem here.

Statements 8 and 9 finish up the proof. CPCTC stands for "Corresponding parts of congruent triangles are congruent". If two triangles are congruent, then their corresponding pieces must be congruent as well. It would be like saying two houses are identical if and only if their front doors are identical.

Company should provide insurance policies to employees because the employees are assets to them.

An insurance policy is a contract between the insurance company and the person getting the insurance.

Employees are assets of a company.

Companies should look after by insuring this asset like any other asset.

Although it is not the only factor for an employee to stick to a company, it is also one of the contributing factor for the employees to stick to a company longer.

It is a very good benefit for the employee since the premium is paid by the employer for the employee.

Hence companies should provide insurance policies to employees.

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Answer:

y = 2

Step-by-step explanation:

If x = -2, what is y = ?

When x = -2 the line crosses the y axis at 2, so y = 2

The length of CD can be found to be 7. 21 units .

The length of CD can be found by using the distance formula which is :

= √ [ ( x ₂ - x ₁ ) ² + ( y ₂ - y ₁ ) ² ]

Given the points, ( 3, - 2 ) and ( 7, - 8 ).

The length of CD is :

= √ [ ( 7 - 3 ) ² + ( - 8 - (- 2 ) ) ² ]

= 7. 21

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The composite function is given below with examples.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Consider two functions f(x) and g(x).

Now,

f o g = f(g(x)) is called a composite function.

f(x) = 2x + 1

g(x) = x + 2

So,

(f o g)(x)

= f(g(x))

= f(x + 1)

= 2 (x + 1) + 1

= 2x + 2 + 1

= 2x + 3

Thus,

The composite function is given above with examples.

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Answer:

9.5

Step-by-step explanation:

Law of sine:

[tex]\frac{SideXY}{sinZ^{o}} = \frac{SideZY}{sinX^{o}} = \frac{SideXZ}{sinY^{o}}[/tex]

Sum of interior angles = 180°:
∴∠Z° = 180° - 63° - 41°

 ∠Z° = 76°

∴[tex]\frac{14}{sin76^{o}}[/tex]= [tex]\frac{x}{sin41^{o}}[/tex]

Cross- multiplication is applied:

(x)(sin76°) = (14)(sin41°)

x has to be isolated and made the subject of the equation:

x = [tex]\frac{[(14)(sin41^{o})]}{sin76^{o}}[/tex]

x = 9.466

x = 9.5 (Rounded to the nearest tenth)

Answer:we can’t help if it is barely readable

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here's a step by step explanation of how to calculate the number of cakes baked if the bakery baked 96 loaves of bread:

First, determine the number of sets of 12 loaves of bread that were baked:

96 loaves of bread ÷ 12 loaves per set = 8 sets of 12 loaves

Next, determine the number of cakes baked for each set of 12 loaves of bread:

For every set of 12 loaves, 5 cakes are baked.

Finally, multiply the number of sets by the number of cakes baked per set to find the total number of cakes baked:

8 sets × 5 cakes per set = 40 cakes

So, if the bakery baked 96 loaves of bread, they would have baked 40 cakes.

Answer:

40

Step-by-step explanation:

12 times 8 equals 96 and 5 times 8 equals 40, there for 40 cakes will be backed

Yes, It intersect at positive x-coordinates.

The equation of line in point-slope form which passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Given that;

The function f (x) is defined in graph.

Now, The function g (x) is defined as,

⇒ y - 5 = (10 - 5) / (2 - 1) (x - 1)

⇒ y - 5 = 5 (x - 1)

⇒ y - 5 = 5x - 5

⇒ y = 5x

Clearly, By the graph of functions f (x) and g (x), both intersect at positive x - coordinate.

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Answer: A) $725

Step-by-step explanation:

The value of the asset that the business bought with $300 cash and $425 on credit is $725. The total amount that the business spent on the equipment is equal to the sum of the cash and the credit, which is $300 + $425 = $725.

Answer:

To convert from kilometers per hour to miles per hour, we use the conversion factor of 1 mile per hour = 1.609 kilometers per hour.

So, 50 km/h = 50 x 1.609 mph = 80.45 mph

Rounding to one decimal place, the answer is 80.5 mph.

The typical speed limit in Europe is,

⇒ 833.3 miles per hour.

We have to given that,

A typical speed limit in Europe is, 50 km/h (kilometers per hour).

We can change the speed limit from kilometers per hour in miles per hour.

⇒ 50 kilometers per hour

⇒ 50 × 1000 / 60 miles per hour.

⇒ 50000 / 60  miles per hour.

⇒ 833.3 miles per hour.

Therefore, The typical speed limit in Europe is,

⇒ 833.3 miles per hour.

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A parent function is the most fundamental function that still satisfies the criteria for a specific type of function. When considering the linear functions that make up a family of functions, for instance, the parent function would be y = x. The simplest function is this linear one.

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Answer:

50:7

Step-by-step explanation:

You just put ":" in between the numbers requested.

The area of the equilateral triangle with side length 10 cm is 25 cm².

What is triangle ?

Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.

To find the area of an equilateral triangle, we need to find the height first. The height of an equilateral triangle is equal to the length of the perpendicular line from the center of the triangle to one of its sides.

To find the height, we can divide the equilateral triangle into two 30-60-90 triangles. The height is equal to half of the hypotenuse of one of these triangles, which can be calculated as:

10 cm / 2 = 5 cm

Now that we have the height, we can find the area of the equilateral triangle as follows:

Area = ½ * base * height

Area = ½ * 10 cm * 5 cm

Area = 25 cm²

Hence, The area of the equilateral triangle with side length 10 cm is 25 cm².

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Answer:

D

Step-by-step explanation:

using the rules of logarithms

• log a - log b = log ([tex]\frac{a}{b}[/tex] )

• log [tex]x^{n}[/tex] = nlog x

then

[tex]log_{4}[/tex] [tex]\frac{7}{x^3}[/tex]

= [tex]log_{4}[/tex] 7 - [tex]log_{4}[/tex] x³

= [tex]log_{4}[/tex] 7 - 3[tex]log_{4}[/tex] x

Answer:

16 years old

Step-by-step explanation:

Let's call Mikhail's age "x". Gabrielle's age is 3 times that, so her age is 3x. The sum of their ages is 64, so:

x + 3x = 64

4x = 64

x = 16

So, Mikhail's age is 16 years old.

The equation of the line given by the coordinates (-8, 3) and (-6, 0) is 2y = -3x -18.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Hence, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

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

The coordinates of the points are:

(-8, 3) and (-6, 0)

The slope of the line is given as:

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

Substituting the coordinates we have:

m = (0 - 3)/ (-6 + 8)

m = -3/2

Using the point slope form:

y - y1 = m (x - x1)

Substituting the values of slope and coordinates we have:

y - 3 = -3/2(x + 8)

2(y - 3) = -3(x + 8)

2y - 6 = -3x -24

2y = -3x -18

Hence, the equation of the line given by the coordinates (-8, 3) and (-6, 0) is 2y = -3x -18.

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