The heights, in inches, for 120 people (male and female) have been measured. The results are presented:Heights sample data: 66.13 65.84 69.19 61.94 68.86 65.66 70.19 59.54 70.29 62.64 67.59 61.29 66.34 65.19 62.7 64.96 70.35 71.36 70.29 62.21 73.46 65.74 66.22 64.28 66.56 66.5 68.55 67.01 61.13 66.93 63.98 65.88 66.02 69.86 65.5 61.14 62.27 64.93 66.04 71.74 68.69 65.27 67.39 66.01 67.51 67.41 67.62 66.2 65.25 64.78 68.87 68.5 67.17 62.62 61.76 63.41 64.73 65.22 62.14 68.19 67.59 68.64 66.3 66.34 65.66 63.14 69.68 68.07 63.1 66.86 62.2 69.44 65.35 61.53 59.7 61.12 69.98 66.52 63.27 65.69 70.76 68.02 69.35 65.45 70.28 62.04 69.28 63.45 67.52 63.37 64.47 68.82 73.15 62.47 65.56 68.28 67.66 63.81 66.39 69.88 67.26 65.5 66.33 65.75 68.83 71.8 64.6 69.95 66.8 70.82 66.71 67.11 69.23 70.71 64.32 67.18 65.1 64.79 62.58 67.2 a)Calculate the mean and standard deviation for the sample. Give your answers to 2 decimal places. sample mean

A left the work after 3 days was solved by using work formula.

An algebraic equation is a mathematical statement that asserts that two expressions are equal. These expressions can contain variables, which are represented by letters, and the equation states that the values of the expressions are equal for some particular values of the variables.

The work formula is a mathematical concept used to determine how long it will take two or more workers to complete a job together. The formula is based on the idea that the amount of work done is directly proportional to the time spent working.

In the given question,

Let's assume that A worked for x days, and therefore he left the work unfinished for (15 - x) days. During this time, B finished the remaining work in 7 days.

According to the work formula, the amount of work done by A and B together in one day is:

1/15 + 1/18 = 11/90

This means that in one day, they can complete 11/90th of the work together.

During the x days when A worked, the amount of work he did is:

x * (11/90)

And during the remaining (15 - x) days, the amount of work left undone is:

(15 - x) * (11/90)

When A left, B completed the remaining work in 7 days, so we can set up an equation:

(11/90) * 7 = (15 - x) * (11/90)

Simplifying and solving for x, we get:

x = 3

Therefore, A left the work after 3 days.

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Answer:

4*9

Step-by-step explanation:

It's obvious.

Answer:

The formula for finding the area of a circle using its radius is:

The formula for finding the area of a circle using its radius is:A = πr²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.

The formula for finding the area of a circle using its radius is:A = πr²where A is the area of the circle and r is its radius.The formula for finding the area of a circle using its diameter is:A = (π/4)d²where A is the area of the circle and d is its diameter.Note that π (pi) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14

Step-by-step explanation:

Hope it Helps

The formula for finding the area of a circle using its radius is π * r².

The formula for finding the area of a circle using its diameter is (π/4) * d².

The formula for finding the area of a circle using its radius is:

A = π * r²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

r represents the radius of the circle.

If you have the diameter of the circle instead of the radius, you can use the following formula:

A = (π/4) * d²

where:

A represents the area of the circle,

π (pi) is a mathematical constant approximately equal to 3.14159, and

d is the diameter of the circle.

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Answer:

$25.10

Step-by-step explanation:

We can find the total amount Andrew spent at the hockey game by finding the sum of each individual cost, including the costs for admission, the program, the popcorn, and the large drink

Total amount spent = 13.50 + 4.75 + 3.50 + 3.35

Total amount spend = $25.10

Answer:

1. 2

2.6

3. 28

4. -10

Step-by-step explanation:

hope this helps

Based on the Triangle Inequality Theorem the possible lengths of the sides of a triangle are:

The Triangle Inequality Theorem which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, is used to determine if three lengths can be the lengths of the sides of a triangle.

Considering each option:

A. 12cm, 5cm, 17cm:

12 + 5 > 17 (not satisfied)

5 + 17 > 12 (satisfied)

12 + 17 > 5 (satisfied)

B. 10cm, 15cm, 24cm:

10 + 15 > 24 (satisfied)

15 + 24 > 10 (satisfied)

10 + 24 > 15 (satisfied)

C. 9cm, 22cm, 11cm:

9 + 22 > 11 (satisfied)

22 + 11 > 9 (satisfied)

9 + 11 > 22 (not satisfied)

D. 21cm, 7cm, 6cm:

21 + 7 > 6 (satisfied)

7 + 6 > 21 (not satisfied)

21 + 6 > 7 (satisfied)

Hence, option B and D are correct.

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Step-by-step explanation:

4 - 7m + n - 2m + 1

5 + 5m + n

i think is complicated

Answer:

Step-by-step explanation:

I do know give me brainliest first

Answer:

24 gift bags

Step-by-step explanation:

Well first the question says to find the GCF and you find that by finding prime factors in each number. Then you would want to subtract 96-72 and get the answer of 24 so you would be able to make 24 gift bags. Hope this helps!!

May I have heart, 5 star, and brainliest please?

The random variable X is the ounces of water in the bottle.

The mathematical formalization of a number or object that is subject to chance events is known as a random variable. It is a function or mapping between a sample space of potential outcomes to a measured space, frequently the real numbers.

A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment. A random variable is a numerical representation of the result of an experiment in statistics. Discrete random variables are those that can only take on a finite number or an infinite series of values.

According to the provided information, it is known that a bottle of water contains 12.05 fluid ounces; hence it is clear that the random variable X will be the ounces of water.

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Answer:

Jim would have to spend two hours on his task. And Michael seven.

Step-by-step explanation:

Jim spends two hours. Michael spends double that time plus three more hours. Two doubled is four. Three plus four is seven.

And two plus seven equals nine.

Answer:

it would be about 5984 times around the earth

Step-by-step explanation:

first of all 149,000,000 miles is active lifetime

Using those measurements, the equatorial circumference of Earth is about   24,901 miles

so therefore if you divide 149,000,000 by 24,901 you would get the answer of 5983.69543392 so if you round all the numbers to the nearest whole number you would get 5984

hope tis helps out with your question

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Answer:

hello your question has some missing part and the table as it relates better to the question

set up the ANOVA table ( to 1 decimal if necessary )

Step-by-step explanation:

attached below is the image of the Analysis of variance using Minitab software

Attached below as well is the Require Anova table

Answer: it is an exponential decay function

Step-by-step explanation:

Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y

Answer:

  c

Step-by-step explanation:

A piecewise-defined function is properly graphed when the pieces of the definition match the pieces of the graph. To identify the function, match the pieces of the function with the pieces of the graph.

__

The domain is the horizontal extent of the graph. The discontinuity in the graph at x=2 tells you the domain of the function will be divided into 2 parts.

The solid dot on the part of the graph that extends to the left tells you that x=2 and points to its left are one part of the domain: x ≤ 2.

The open dot on the part of the graph that extends to the right tells you that x=2 is not part of the domain for that section. It will be x > 2.

Recognizing that these are the domain definitions already eliminates choices B and D.

The answer choices (or your examination of the graph) tell you that the two lines are described by ...

The y-intercept for the line to the left of x=2 is clearly at y=2, so we now know the match-up between domains and function definitions is ...

  \(y=\begin{cases}x+2&x\le2\\x+1&x > 2\end{cases}\)

This eliminates choice A.

The correct answer choice is C:

  \(\boxed{\textsf{c.}\quad y=\begin{cases}x+1&x > 2\\x+2&x\le2\end{cases}}\)

Answer:

  x = 1

Step-by-step explanation:

You want to know the value of x in the trapezoid with adjacent angles (43x+2)° and 135°.

The two marked angles can be considered "consecutive interior angles" where a transversal crosses parallel lines. As such, they are supplementary.

  (43x +2)° +135° = 180°

  43x = 43 . . . . . . . . . . . . . . divide by °, subtract 137

  x = 1 . . . . . . . . . . . . . . . divide by 43

The value of x is 1.

__

Additional comment

Given that the figure is a trapezoid, we have to assume that the top and bottom horizontal lines are the parallel bases.

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Answer:

Domain: x \(\geq\) -5

Range: y \(\geq\) -3

Step-by-step explanation:

The domain is all the possible inputs or x value.  x will be greater than -5.

The range is all of the possible outputs or y value.   y will be greater than -3

Answer:

Domain:  [-5, ∞)

Range:  [-3, ∞)

Step-by-step explanation:

The given graph shows a continuous curve with a closed circle at the left endpoint (-5, -3) and an arrow at the right endpoint.

A closed circle indicates the value is included in the interval.

An arrow shows that the function continues indefinitely in that direction.

The domain of a function is the set of all possible input values (x-values).

As the leftmost x-value of the curve is x = -5, and it continues indefinitely in the positive direction, the domain of the  graphed function is:

The range of a function is the set of all possible output values (y-values).

From observation, it appears that the minimum y-value of the curve is y = -3. The curve continues indefinitely in the positive direction in quadrant I. Therefore, the range of the graphed function is:

Answer:

\(\huge\boxed{\sf Area = 12.8 cm\²}\)

Step-by-step explanation:

Let,

The length of rectangle = x

The width of rectangle = y

The length of square = x - 4

The width of square = y + 5

Area of rectangle = xy

Area of square = xy + 40

Condition No. 1:

Area of Square = Length of square * Width of square

xy + 40 = (x - 4)(y - 5)

xy + 40 = xy - 5x - 4y + 20

- 5x - 4y = 40 - 20

- 5x - 4y = 20

5x + 4y = -20 ------------------(1)

Condition No. 2:

We know that:

Length of square = Width of square

x - 4 = y + 5

Add 4 to both sides

x = y + 5 + 4

x = y + 9 ---------------------------(2)

Solution:

Put Eq. (2) in (1)

5 (y + 9) + 4y = -20

5y + 45 + 4y = -20

9y + 45 = -20

9y = -20-45

y = -65 / 9

Now, Put the value of y in Eq. (2)

x = (-65 / 9) + 9

x = (-65 + 81) / 9

x = 16 / 9 cm

Now,

Area of rectangle = xy

Area = ( -65 / 9 ) * ( 16 / 9 )

Area = (-65*16) / (9*9)

Area = -1040/81

Area = 12.8 cm² (Neglecting -ve sign)

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

360

Step-by-step explanation:

360m^2

It will take 2 hours for the ambulance to pass the police car.

Given that a police car leaves a crime scene heading east directly towards the hospital at 72 kilometers per hour, and an ambulance leaves a quarter of an hour later and also heads directly east towards the hospital at 81 kilometers per hour, to determine how long will it take for the ambulance to pass the police car, the following calculation must be performed:

Therefore, it will take 2 hours for the ambulance to pass the police car.

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Answer:

8.5

Step-by-step explanation:

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 17 ÷ 0.2.

X = 8.5

So 20% of 17 is 8.5.

Answer:

20 blue beads........20 black beads

Answer: 132 cm cubed

Step-by-step explanation:

0.5*3*4*2=12

10*5=50

4*10=40

3*10=30

30+40+50+12=132 cm cubed

Answer:

800,000

Step-by-step explanation:

hope it helps v b

Answer:

Examples of 2D shapes

2D Shape Properties

Pentagon A shape with five sides and five equal angles.

Kite A quadrilateral with two pairs of sides of the same length.

Rhombus A quadrilateral with both pairs of opposite sides parallel and all sides of the same length. Unlike a square, however, its angles are not all 90˚.

Step-by-step explanation:

1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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Answer:

The sample space of rolling two six-sided dice at the same time consists of all possible outcomes of the two dice. Each die can show any number from 1 to 6, so the sample space contains 6 x 6 = 36 possible outcomes.

Each outcome is represented by an ordered pair (a,b) where a and b are integers from 1 to 6 representing the numbers shown on each die, respectively. For example, (1,1), (1,2), (1,3),......., (6,5), (6,6) are all possible outcomes in the sample space.

Answer:

B. Gift

Step-by-step explanation:

Taxation can be defined as the involuntary or compulsory fees levied on individuals or business entities by the government to generate revenues used for funding public institutions and activities.

A gift tax can be defined as a type of tax that is imposed or levied on property or money that is being transferred (given) as a gift from one person to another. Thus, in this type of scenario, there are no financial incentives or compensation for this items being gifted.

Basically, the annual gift tax exemption or exclusion for this year is $15,000 per recipient.

Hence, when an item worth more than 15,000 is given to someone, this tax is called gift tax.

9514 1404 393

Answer:

  A)  y = -3x +7

  B)  y = (7/3)x

Step-by-step explanation:

Maybe you want the equations of the lines.

Two points are marked on each graph. These can be used to compute the slope. One of them is the y-intercept, so that can be used in the slope-intercept equation.

A) m = (y2 -y1)/(x2 -x1) = (1 -7)/(2 -0) = -3

  b = 7

So, the equation y = mx+b is ...

  y = -3x +7

__

B) m = (7 -0)/(3 -0) = 7/3

  b = 0

The equation is ...

  y = (7/3)x