The information shows the last 32 responses from a scale of 1 to 10 of customer service at a retail store.
7, 6, 5, 7, 8, 4, 4, 4, 3, 5, 6, 8, 9, 1, 1, 2, 10, 3, 4, 2, 5, 6, 8, 4, 5, 9, 10, 6, 4, 1, 1, 2
How many more responses will be needed to lower the median? What would these scores be?
O1 score less than 4.
O2 scores greater than 4
01 score greater than 5
O2 scores less than 5

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

it literally says just count them all lol just like this we see there are 9 squares correct? and there are 12 circles so the ratio is 9:12 put 9 in the first box and 12 in the next just ask me if you need more help

Answer:

2 / 5

Step-by-step explanation:

Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.

By answering the presented question, we may conclude that As a result, expression up to 250 candidate posters may be made for K400.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

(a) For 0 x 250, f(x) = K400.

f(x) = K400 + (x-250)*(K5 + K50) = K400 + K5x + K50 for 250 x (x-250)

(b) I f(1250-250) = K400 + K5(1250-250) = K400 + K6250 + K50000 = K56450

As a result, the cost of producing 1250 candidate posters is K56450.

(ii) We utilise the first charge function to print 250 candidate posters:

f(250) = K400

As a result, the cost of producing 250 candidate posters is K400.

K400 + K5x + K50(x-250) = K2500

Simplifying, K55x = K13750 x = 250

Hence, at a cost of K2500, the maximum number of candidate posters that may be delivered is 250.

(iv)K400 = K400

As a result, up to 250 candidate posters may be made for K400.

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According to the given data the equation of the new function is (D) f(x) = 2x - 4.

An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.

If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:

f(x) = h(x) + 5

Substituting the definition of h(x) into this equation, we get:

f(x) = 2x - 9 + 5

Simplifying, we have:

f(x) = 2x - 4

Therefore, the equation of the new function is (D) f(x) = 2x - 4.

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Answer:

  x ≠ 5

Step-by-step explanation:

For the two points to represent a function, the value of x cannot be repeated. The only restriction on the values of x and y is that x is not 5. (x can be anything but 5.)

Answer:

The value of x can be

✔ any real number except 5

.

The value of y can be

✔ any real number

Step-by-step explanation:

i got it correct on edguinty

The lengths DG and GC are 12 and 24 units respectively

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

G is the centroid and DC = 36.

The centrod divides the triangle in 1 : 2

Using the above as a guide, we have the following:

DG : GC = 1 : 2

Multiply by 12

So, we have

DG : GC = 12 : 24

12 and 24 add uo to 36

This means that

DG = 12 and GC = 24

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The two students that mix the same ratio of juice to water is given as follows:

A. Luca.

D. Micah.

The ratio between two amounts a and b is given as follows:

a to b.

Which is also the division of the two amounts.

Hence the ratio of juice to water for each person is given as follows:

Hence Luca and Micah used the same ratio, meaning that options A and D are correct.

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Answer:

4 to the power of 3 is 64

Step-by-step explanation:

4×4×4=64

Answer:

$518.85/x

Step-by-step explanation:

$582.85 - $64 = $518.85

$518.85/x = How much each player would get

Answer:

1. (582.85-64)/p

2. 64.85

Step-by-step explanation:

i did the assignment and got it correct.

hope this helps!

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Answer:

A) 12%

Step-by-step explanation:

Lets assume a random diameter to work with. I will use a diameter of 10.

Circumference = πD

Circumference = π * 10

Circumference = 31.415

Decreasing the circumference by 12%

31.415 * 0.12 = 3.769

31.415 - 3.769 = 27.64

To find out what percent the diameter is reduced by we will find out the new diameter with the new circumference

Circumference = πD

27.64 = π * D

D = 27.64 / π

New Diameter = 8.8

OldD - NewD

10 - 8.8 = 1.2

1.2/10 = 0.12

The diameter decreased by 12%

The diameter of the circle decreased by 12% due to decrease of circles circumference by 12%.

A circle is a geometrical figure which becomes by plotting a point around a fixed point by keeping a constant distance.

The diameter is the longest line that can be drawn inside a circle.

Area of circle = πr² and the perimeter of circle = 2πr where r is the radius of the circle.

Let's say the diameter of the circle is D

Circumference of circle = πD

12% of Circumference = (12/100) × πD

⇒ 0.12πD

So new circumference will be

πD -  0.12πD = 0.88πD

Now let say new diameter after decreasing circumference is d

Circumference of new circle will be

πd = 0.88πD

d = 0.88D

% decrement = (change/original) × 100

diameter decrease = (D - 0.88D)/D × 100

⇒ 12% hence it will be correct answer.

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To find the area of the regular 12-gon inscribed in a unit circle, first calculate the area of a regular octagon. The area of a regular octagon is equal to two times the length of one side squared, multiplied by the constant π/2. Since all the sides of a regular octagon inscribed in a unit circle have length 1, we can calculate the area of the octagon as 21^2(π/2) = π.

Next, divide the octagon into four red regions, each with an area of 12. To calculate the area of the blue region, subtract the total area of the four red regions (12*4 = 48) from the area of the octagon (π). This gives us an area of π - 48 = 8 for the blue region.

To find the distance from O to PQ in the isosceles triangle OPQ, use the Pythagorean theorem. Since the base of the triangle has length 2, and the legs of the triangle have length OP=OQ, we can calculate the distance from O to PQ as the square root of 2^2 - (OP)^2, which is equal to √2.

To find the area of the smaller hexagon, subtract the area of triangle ACE from the area of triangle BDF. The area of an equilateral triangle with side length 2 is √3/4, so the area of triangle ACE is (√3/4)2 = √3/2. Similarly, the area of triangle BDF is (√3/4)2 = √3/2. Subtracting these two values gives us an area of 0.5 for the smaller hexagon.

Lastly, to find the measure of [ABCDE], use the fact that the sum of the interior angles of a regular polygon is equal to (n-2)180°, where n is the number of sides of the polygon. In this case, n = 5, so the measure of [ABCDE] is (5-2)180° = 120°.

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The expression can be completed as 4 × (4 + 3)

A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.

Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.

Looking at the pages:

On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:

4 × (4 + 3)

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Answer:

1, 2, and 3

Step-by-step explanation:

4n < 16

simplify

n < 4

the only options less than 4 are 1, 2, and 3

Answer:

hope this helps u

Step-by-step explanation:

The answer is 1,2,3. if my answer helps u pls mark me brainlist

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-3x<3  Equation/Question

Step 2

-3x<3  Simplify

-3x<3

Step 3

-3x<3  Divide by -3

Answer

x>-1

Answer:

I THINK 2

Step-by-step explanation:

Answer: (-3, 5) :  Quadrant 2

Answer:

162

Step-by-step explanation:

54 * 3 = 162

hope it's helpful

Answer:

162

Step-by-step explanation:

54 x 3 = 162

54+ 54+ 54= 162

This question was not written properly

Complete Question

Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.

7/6, 5/3, 13/6, 8/3

Answer:

a) Common difference = 1/2

b) Fifth term = 19/6

c) nth term = 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term = 152/3

Step-by-step explanation:

We solve using the formula for arithmetic sequence

an = a1 + (n - 1)d

a1 = First term

n= nth term

d = common difference

a) Common difference = Second term - first term or Third term - second term

= d = 5/3 - 7/6

d = LCD (Lowest Common Denominator = 15

d = 5 × 6 - 3 × 7/18

d = 30 - 21/15

d = 9/18

d = 1/2

b) Fifth term =

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 5

d = 1/2

a5 = 7/6 + (5 - 1)1/2

a5 = 7/6 + (4)1/2

a5 = 7/6 + 4/2

a5 = 7/6 + 2

a5 = LCD = 6

= 7× 1 + 2 × 6/6

= 7 + 12/6

= 19/6

c) nth term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = n

d = 1/2

= 7/6 + (n - 1)1/2

= 7/6 + n/2 - 1/2

d) 100th term

an = a1 + (n - 1)d

a1 = First term = 7/6

n= nth term = 100

d = 1/2

a5 = 7/6 + (100- 1)1/2

a5 = 7/6 + (99)1/2

a5 = 7/6 + 99/2

a5 = 7/6 + 99/2

a5 = LCD = 6

= 7× 1 + 3 × 99/6

= 7 + 297/6

= 304/6

= 152/3

Answer:

V = 310.5 cm³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Prism Formula: V = lwh

Step-by-step explanation:

Step 1: Define

Identify variables

l = 13.8 cm

w = 4.5 cm

h = 5 cm

Step 2: Solve for V

Answer:

The shopper received a 75% discount

Step-by-step explanation:

ok so first we turn it into an equation

let x=percentage discount

16(x)=12

x=.75

discount=75%

The best answer is C: II and III.

To protect her gains, Mary should consider strategies that limit her potential losses. Of the choices listed, the best strategies to protect Mary's gains would be to close out her short position (III) or buy puts on XYZ (II).

Buying calls on XYZ (I) would not protect Mary's gains, as it would only allow her to potentially make more money if the price of XYZ goes up. Buying more XYZ using leverage (IV) would also not protect Mary's gains, as it would expose her to even more risk if the price of XYZ goes down.

Therefore, The best answer is C: II and III.

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

(a) $60

(b) $180

Step-by-step explanation:

Let the price of 1 table lamp be t.

Then the price of a fan is 3t.

2(3t) + 3t = 540

6t + 3t = 540

9t = 540

t = 60

A table lamp costs $60.

3($60) = $180

A fan costs $180.

Step-by-step explanation:

rectangular patio.

one length is the side of the house (and no string of lights).

so, we know then

length + 2×width = 50 ft

and we know

length = 2×width + 6

me we can use that identity in the first equation and get

(2×width + 6) + 2×width = 50 ft

4×width + 6 = 50 ft

4×width = 44 ft

width = 11 ft

therefore,

length = 2×width + 6 = 2×11 + 6 = 22 + 6 = 28 ft

Answer:

12xy+8z^7+62^7+10

Step-by-step explanation:

Using a system of equations, it is found that she uses 700 ml of Solution B.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

She uses 400 milliliters less of Solution A than Solution B, hence:

x = y - 400.

Solution A is 20% alcohol and Solution B is 17% alcohol. The esulting mixture has 179 milliliters of pure alcohol, hence:

0.2x + 0.17y = 179.

Since x = y - 400, we have that:

0.2(y - 400) + 0.17y = 179.

0.37y = 259

y = 259/0.37

y = 700.

She uses 700 ml of Solution B.

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Answer:

97

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.

The sequence is given as:

\(Blue = 1\)

\(Red = 2\)

\(Green = 3\)

The number of squares is given as:

\(n = 100\)

First, we calculate the number of complete iteration of the sequence of squares.

\(Total = Blue + Red + Green\)

\(Total = 1+2+3 =6\)

So, the complete iteration (k) is:

\(k = \frac{n}{Total}\)

\(k = \frac{100}{6}\)

\(k = 16.67\)

Remove decimal (do not approximate)

\(k = 16\)

Next, calculate the position of the last element in the iteration.

\(Position = k \times Total\)

\(Position = 16 \times 6\)

\(Position = 96\)

The blue square is the first on each iteration.

So, the highest numbered blue square is:

\(Highest = Position + Blue\)

\(Highest = 96 + 1\)

\(Highest = 97\)

Hence, the highest numbered square that is painted blue is 97.

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