Find the lower quartile (Q1).

55, 60, 65, 95, 90, 75, 75, 80, 85, 80, 85, 85

The perimeter of the composite figure, made up of two semicircles and a rectangle is 2(πb + a).

In the given question we have to find the perimeter of the composite figure, made up of two semicircles and a rectangle.

The composite figure, made up of two semicircles and a rectangle is given below.

Let the height of the composite figure is a.

The width of the composite figure is 2b.

The width of rectangle and diameter of semicircle is same. So the radius of semicircle be 2b/2 = b.

As we know that the perimeter of semicircle is πr and perimeter of rectangle is 2(l+b).

Now the perimeter of semicircle is πb and perimeter of rectangle is 2(a+2b).

So the perimeter of composite figure is sum of perimeter of two semicircle and rectangle then subtract the width of the both side of rectangle because in counts in the perimeter of semicircle.

So, the perimeter of composite figure = πb + 2(a+2b) + πb - 2b - 2b

The perimeter of composite figure = 2πb + 2a + 4b - 4b

The perimeter of composite figure = 2πb + 2a

The perimeter of composite figure = 2(πb + a)

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Answer:

The dimensions are 106, 47,116

Step-by-step explanation:

\(when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116\)

$25,000 of Geoffrey's income is subject to the net investment income tax.

The net investment income tax applies to certain types of income, including rental real estate income, and is calculated based on an individual's modified adjusted gross income (MAGI) and filing status. In the case of Geoffrey, his rental real estate income of $25,000 is subject to the net investment income tax.

To calculate the net investment income tax, we need to determine Geoffrey's MAGI. His total income for the year consists of $25,000 in rental real estate income and $180,000 in wages, totaling $205,000. Since he has no adjustments to income, his MAGI is equal to his total income of $205,000.

Therefore, the amount of Geoffrey's income subject to the net investment income tax is $25,000.

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The graph of the equation is attached below and this can be determined by using the formula of the volume of the cone and the slope-intercept form of the line

Given :

For cones with a radius of 6 units, the equation V=12h relates the height h of the cone, in units, and the volume V of the con, in cubic units.

The volume of the cone is given by the formula:

v = 1/3. π .r².h

Now, substitute the value of r in the above formula.

v = 12πh

Now, compare this equation with a slope-intercept form which is given by:

y = mx + c

where m is the slope and c is the y-intercept.

From comparing the equation, it can be concluded that:

y = V

x = h

c = 0

m = 12

Now, draw the graph of the line that passes through the origin. The graph is attached below.

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The exponential equation is \(y=ab^x\). Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

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The exponential equation is y = \(ab^{x}\) . Let's look at some properties of this equation.

'b' must be greater than 0 and not equal to 1. b>0, b1.

The formula for exponential regression is y = \(ab^{x}\) . This refers to the process of arriving at the best exponential curve equation for your dataset. This regression is very similar to linear regression and tries to find the best (straight line) line equation for a data set.

Exponential regression refers to the process of obtaining the best exponential curve equation for a data set.

A model that explains the process of doubling growth.

The exponential equation is y = \(ab^{x}\)

Exponential functions are commonly used in life sciences and are used to represent the specific quantity that you want to model. B. Population size modeled over time. Plots of experimental data are usually plotted with time on the x-axis and quantity on the y-axis.

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A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The range of customer satisfaction scores is a. 4

To find the range of customer satisfaction scores, we need to calculate the difference between the highest and lowest scores.

The highest score in the given data set is 10, and the lowest score is 6. Therefore, the range is 10 - 6 = 4.

The range is a measure of variability and represents the spread of the data. In this case, the customer satisfaction scores range from 6 to 10, indicating a spread of 4 points on the scale.

It's important to note that the range only considers the highest and lowest scores and does not take into account the distribution of the remaining scores.

Therefore, it provides a limited understanding of the overall variability in customer satisfaction.

Other measures such as standard deviation or interquartile range may provide a more comprehensive analysis of the data distribution.

The correct option is: a. 4

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Complete question below :

A company conducts a survey to measure customer satisfaction on a scale of 1 to 10. The survey results for a sample of 50 customers are as follows: 8, 9, 7, 6, 9, 8, 10, 7, 8, 6, 7, 9, 10, 9, 8, 7, 6, 9, 8, 10, 7, 6, 7, 8, 9, 10, 8, 7, 9, 8, 6, 7, 9, 8, 10, 7, 8, 6, 9, 8, 7, 10, 9, 8, 6, 7, 9, 8, 10, 7, 8.

What is the range of customer satisfaction scores?

a. 4

b. 3

c. 5

d. 2

e. 1

Answer:

B

Step-by-step explanation:

Lets draw a picture of our problem

then, we have a right triangle

we can relate such quantities by means of the tangent function, that is,

by moving 100 to the left hand side, we have

therefore, the answer is

that is,by rounding up, the height is 1467 feets

Answer:

C, 6 by 15 ft.

Step-by-step explanation:

10*3/2=15, and 4*3/2=6, so we get 6 by 15ft

Pls brainliest for leveling up

92-√36 ×3√1000

92-√6^2 ×3√10^3

92-6×3×10√10

92-6×30√10

86×30√10

2580√10

Answer and Step-by-step explanation:

Samantha's recipe has:

3 parts cranapple juice

2 parts lemonade

In total, this recipe has:

t = 3 + 2

t = 5

ratio = \(\frac{2}{5}\)

Caden's recipe has

4 parts cranapple juice

3 parts lemonade

In total:

t = 4 + 3

t = 7

ratio = \(\frac{3}{7}\)

The punch with stronger lemon taste will be the one whose recipe have a bigger proportion of lemon.

For Samantha's recipe, the proportion is 2 ÷ 5 = 0.4

For Caden's, 3 ÷ 7 = 0.43

Caden's punch will have a slightly stronger taste of lemon, because its proportion is slightly higher than Samantha's.

Answer:

x = 228

Step-by-step explanation:

pretty simple

Answer:

i'm pretty sure its C-228

We can find the value if we write the complete expression:

Considering only two factors at a time, and knowing that - * - = +, we have:

Therefore, (-2)^4 = 16

Answer:

-16!!

-2x-2x-2x-2= -16.

The coordinates of the midpoint of segment FG are (3,-1) which was found using midpoint formula.

When it comes to practical application, the midpoint formula is rather straightforward.

Step 1: Determine the line segment or the two ends.

Step 2: Determine their coordinates.

Step 3: Add the x coordinates of both ends and divide by 2.

Step 4: Adding the y coordinates of both endpoints, divide by 2, and complete the step.

Step 5: As you specify the coordinates of any point, write the values that were acquired in Steps 3 and 4.

Given: Endpoints of a line segment are F(2, -1) and G(-8, -1).

We need to find the coordinates of its midpoint.

Using midpoint formula,

(a,b) = (x₁ + x₂)/2,(y₁ + y₂)/2

       = (2-8)/2,(-1-1)/2

       = 3,-1

So, coordinates are (3,-1)

Therefore, the coordinates of the midpoint of segment FG are (3,-1) which was found using midpoint formula.

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In triangle ∆PKH, the measures of the angles P = 30.8299, K = 82.8452, and H = 66.3249 to the four decimal place using the cosine rule.

In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Considering the given triangle, angle H is calculated with cosine rule as follows;

h² = p² + k² - 2(p)(k)cosH

19.4² = 29.8² + 13.9² - 2(29.8)(13.9)cosH

cosH = (376.36 - 43.7)/2(29.8)(13.9)

H = cos⁻¹(332.66/828.44)

H = 66.3249

k² = p² + h² - 2(p)(h)cosK

13.9² = 29.8² + 19.4² - 2(29.8)(19.4)cosK

cosK = (193.21 - 49.2)/2(29.8)(19.4)

K = cos⁻¹(144.01/1156.24)

K = 82.8452

P = 180 - (82.8452 + 66.3249) {sum of interior angles of a triangle}

P = 30.8299

Therefore, in triangle ∆PKH, the measures of the angles P = 30.8299, K = 82.8452, and H = 66.3249 to the four decimal place using the cosine rule.

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To find the average quarterly loads for the rest of the years, you can use the formula below:

Average Quarterly Load = Total Annual Load  4 For example, let's say the total annual load for Year 1 is 800.

To find the average quarterly loads for Year 1, we would divide 800 by 4 to get an average quarterly load of 200. Then, you can use this average quarterly load to find the seasonal indices for each quarter of each year.To find the seasonal index for a given quarter and year, you would divide the actual quarterly load by the average quarterly load for that year.

For example, let's say the actual load for Quarter 1, Year 1 is 240. To find the seasonal index for this quarter and year, we would divide 240 by 200 to get a seasonal index of 1.2. You would repeat this process for each quarter and year to find the seasonal indices for all quarters and years.

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The number in the sentence that represents the number of demos, D, that each executive will receive is 72 ÷ 6 < D. Option B

Since there are more than 72 demos

Each executive will receive at least 72/6 = 12 demos.

The number of demos that each executive will receive is 12 demos

Therefore, the number in the sentence that represents the number of demos, D, that each executive will receive is 72 ÷ 6 < D.

Hence, the correct inequality is 72 ÷ 6 < D.

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There are a total of 6,311,042,650 possible ways to arrange two focus groups of students, one with size 4 and the other with size 6, from a group of 30 students including John and Jane.

To calculate the total number of possible ways to arrange two focus groups of students, one with size 4 and the other with size 6, we can use the combination formula. We need to choose 4 students from 30 for the first group, which can be done in C(30,4) ways, and then choose 6 students from the remaining 26 for the second group, which can be done in C(26,6) ways.

The total number of possible arrangements is the product of these two combinations:

C(30,4) * C(26,6) = (30! / (4! * (30-4)!) ) * (26! / (6! * (26-6)!) )

= 27,405 * 230,230

= 6,311,042,650

Therefore, there are a total of 6,311,042,650 possible ways to arrange two focus groups of students, one with size 4 and the other with size 6, from a group of 30 students including John and Jane.

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Answer:

23s-7

Step-by-step explanation:

Given the expression:

17s-10+3(2s+1)

Using distributive property;

a.(b+c)=a.b+a.c

then;

17s-10+6s+3

Combine like terms;

23s-7

Therefore, an expression which is equivalent to the given expression is,

23s-7

hope it is helpful

The answer is:

Work/explanation:

The expression is:

\(\bf{17s-10+3(2s+1)}\)

Use the distributive property

\(\bf{17s-10+6s+3}\)

Combine like terms

\(\bf{17s+6s-10+3}\)

Simplify

\(\bf{23s-7}\)

Hence, 23s - 7 is equivalent to 17s-10+3(2s+1).

Answer:

108 in²

Step-by-step explanation:

Area of a triangle is given as ½*base*height

The base of the given triangle = h + 6

height = h

Algebraic expression for its area = \( \frac{1}{2}*(h + 6)*h = \frac{1}{2}(h^2 + 6h) = \frac{h^2 + 6h}{2} \)

Evaluate the area if h is given as 12 inches.

Plug in the value of h into the algebraic expression:

\( \frac{h^2 + 6h}{2} = \frac{12^2 + 6(12)}{2} \)

\( = \frac{144 + 72}{2} \)

\( = \frac{216}{2} = 108 in^2 \)

If p and q vary inversely and p is 5 when q is 4, the value of q when p is equal to 10 is 2.

An inverse variation can be defined as a type of proportionality which shows the relationship that exist between two (2) distinct variables, wherein, as the value of one variable increases, the value of the other variable decreases and vice-versa.

Mathematically, an inverse variation can be modeled or represented by this expression:

p ∝ 1/q

p = k/q

Where:

Next, we would determine the constant of proportionality (k) by substituting the value of the given variable as follows:

k = pq

k = 5(4)

k = 20

Now, we can determine the value of q:

q = k/p

q = 20/10

q = 2.

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C is the answer!

Step-by-step explanation:

The slope of points P and Q is,

m=y2-y1/x2-x1

substitute the numbers in the equation above,

m=2-3/4-8

m=-1/-4

m=1/4

The slope of points R and S,

m=-2-(-5)/-1-(-5)

m=-2+5/-1+5

m=3/4

Remember, that parallel lines have the SAME SLOPE!

So no, the lines are not parallel!

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Answer:

cause 2+2≠⁴

Step-by-step explanation:

10¥6

8910111213

aans =t-5

Answer:

28 pages per day

Step-by-step explanation:

126 divided by 4.5 = 28

I hope this helps :3

Answer:

x/5

Step-by-step explanation:

x is the money so if you divide it equaly you would divide it by the five freinds.

Answer:

6/16

Step-by-step explanation:

3/8

We count all the shapes which are 16 and the circles are 6

so 6/16 we simplify to get 3/8

Answer:

102 beads will be used for each necklace.

Step-by-step explanation:

3,264/32=102

Answer:

use distance formula

Step-by-step explanation: