For a study to allow conclusions about causality, the researchers must: Randomly assign participants to conditions Make sure participants are all of the same socio-economic status Manipulate the dependent variable Gather a random sample of participants

A fraction that is sometimes used to approximate pi is 22/7.

One example of a fraction that is sometimes used to approximate pi is 22/7. This fraction is an approximation of pi that has been used for centuries, even though it is not an exact value of pi.

It is a good approximation that is accurate to within about 0.04%, which makes it useful in many practical applications.

The fraction 22/7 comes from dividing the circumference of a circle by its diameter, which is the definition of pi. While the exact value of pi is an irrational number that cannot be expressed as a fraction, 22/7 is a commonly used approximation that is easy to remember and calculate with. However,

there are more accurate approximations of pi that can be used for more precise calculations, such as 355/113 or 3.14159265359.

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The value that results when a number is multiplied by itself is known as the square root. So, to find the square root of 16, we need to find a number that, when multiplied by itself, equals 16. The value of the expression is 4.

One way to do this is to try different numbers and see if their square equals 16. For example, we can start with 1 and see if 1 times 1 equals 16. Clearly, 1 times 1 is 1, so we know that the square root of 16 is not 1.

Next, we can try 2. 2 times 2 is 4, which is less than 16, so we know that the square root of 16 must be greater than 2.

We can then try 3. 3 times 3 is 9, which is still less than 16, so the square root of 16 must be between 3 and 4.

Finally, we can try 4. 4 times 4 is 16, which means that the square root of 16 is indeed 4.

Therefore, the value of the given expression square root 16 is 4.

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1. The values which the given number sentences true are:

a) 11 b) 5 c) 36

2. After substituting the value of  x we get the value for y as :

a) 6 b) 0 c) 7 d) 15

3. The number sentences are :

a) x ₋ y = 25

b) 5 × p = q ÷ 2

c) 2y ₋ 14 = 6

d) 15 × 4 = 4 ₋ (x₊y)

Given in the first bit we need to find the variables:

a) h ₊ 8 = 19

arrange the constants on one side.

h = 19 ₋ 8

h = 11

b) 2p ₋ 6 = 4

arrange the constants on one side.

2p = 4 ₊ 6

2p = 10

p = 10/2

p = 5

c) 1/3 y = 12

cross multiply.

y = 36

Now in the second exercise we are asked to substitute the x value and get the value of y.

a) y = 3x ₊ 2 if x =8

substitute x value in the equation.

y = 3(8) ₊ 2

y = 24 ₊ 2

y = 26

b) y = 4x ₋ 1 if  x = 1/4

y = 4(1/4) ₋ 1

y = 1 ₋ 1

y = 0

c) y = 0.2x ₊ 5 if x = 10

y = 0.2(10) ₊ 5

y = 2 ₊ 5

y = 7

d) y = 10x ₊ 12 if x = 0.3

y = 10(0.3) ₊ 12

y = 3 ₊ 12

y = 15

In the last third bit we need to frame equations for the given word problems.

a) The difference between two numbers is 25.

let the two numbers be x and y.

x ₋ y = 25.

b) The product of 5 and p is equal to quotient of q and 2.

5 × p = q ÷ 2

c) The difference between 14 and 2y is equal to 6.

2y ₋ 14 = 6

d) The product of 15 and 4 is equal to four less than the sum of x and y.

15 × 4 = 4 ₋ (x₊y)

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Answer:

on the first one you would take 106 and subtract 22 from that since the bigger number is 22 more than the smaller number 106 - 22=84 then you would divide that by two because there are two numbers. which would be 42 as a smaller number so half of the smaller number would be 21. I think

Step-by-step explanation:

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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Answer:

d = 12800/f

Step-by-step explanation:

variation of proportion is 256(50) = 12,800

d = 12800/f

Regular shapes are geometric; irregular shapes are organic (option B).

Regular shapes are geometric because they have well-defined and consistent properties such as equal sides and angles. Examples of regular shapes include squares, circles, triangles, and hexagons.

Irregular shapes are organic because they do not have uniform properties and may exhibit variation in sides, angles, or curves. They are often found in nature and have a more freeform or natural appearance. Examples of irregular shapes include clouds, trees, rocks, and various biological organisms.

Therefore, regular shapes are associated with geometric characteristics, while irregular shapes are associated with organic characteristics. The correct option is B.

The complete question is:

Regular shapes are ____; irregular shapes are ____.

A. organic and biomorphic

B. geometric and organic

C. organic and geometric

D. biomorphic and two-dimensional

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Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is  ( 9/50 ) sq ft .

Length of the side of cube = s

The given volume of cubical box  = ( 27/1000 ) ft cubed         equation 1

Volume of Cubical box = \((length of cube side)^{3}\)

Volume of Cubical box = \(s^{3}\)                                          equation 2

On comparing equation 1 and equation 2 , we get

\(s^{3}\) = ( 27 / 1000 )

s = ( 3 / 10 ) = 0.3 ft

Sabrina wants to completely cover two of the faces with labels, So we need to calculate the area of two sides of cubical box.

The area of two sides of cubical box = 2 \(s^{2}\)

The area of two sides of cubical box = 2 ( 3/10 )² = ( 9 / 50 ) sq ft

Length of the side of cube is ( 3/10 ) ft and the area of two sides of cubical box that sabrina will cover is  ( 9/50 ) sq ft .

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Answer:

-7x = 10

Step-by-step explanation:

step 1:  multiply each term inside the parentheses by -5, to get:

-5x + 5 = 2x + 15

you can subtract 2x from each side of the equation to get:

-7x + 5 = 15

now you subtract 5 from each side to get:

-7x = 10

The contribution margin per unit is $ 1.50

The contribution margin is the percentage of a product's sales revenue that isn't consumed by variable costs and goes toward paying the firm's fixed expenses.

One of the main components of break-even analysis is the idea of contribution margin.

Labor-intensive businesses with few fixed expenses tend to have low contribution margins, whereas capital-intensive, industrial businesses have more fixed costs and, thus, higher contribution margins.

According to the question,

Total expenses per unit = $(5.50+3.00+1.50+4.00+2.50+2.00+1.00+0.50)

                                        = $ 20

Selling Price per unit = $ 21.50

Thus, contribution margin per unit = $ (21.50 - 20)

                                                         = $ 1.50

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Answer:

sec\(x^{2}\)(x)-1\(\frac{\\}{y}\)/sin power 2(x)=sec power 2(x)

Answer:

d i think

Step-by-step explanation:

Answer: C

Step-by-step explanation:

our points are

(0, 64) and (17, 30)

slope = 30-64/17-0 = -34/17 = -2

y=-2x+64 aka C

The inverse function f-1(x) has a value of 5/3

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

f(x) = 3x - 4

To calculate the inverse function f-1(x). we make use of the following representation:

We set the function to -1 and then solve for x

So, we have

3x - 4 = -1

Evaluate the like terms

3x = 5

Divide by 3

x = 5/3

So, we have

f-1(x) = 5/3

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Complete question

f(x) = 3x - 4

Find f-1(x)

Both a frequency table and a frequency distribution are tools used to organize and summarize data, particularly in statistical analysis. They both display the frequency or count of occurrences of each unique value or category in a dataset.

The main difference between a frequency table and a frequency distribution is the type of data they are used to summarize. A frequency table is typically used to display the frequency of occurrence of qualitative or categorical data. It lists the categories or classes of data and the number of observations that fall into each category. For example, a frequency table could display the number of students in a class that received an A, B, C, D, or F grade in a course.

On the other hand, a frequency distribution is typically used to display the frequency of occurrence of quantitative or numerical data. It groups the data into classes or intervals and lists the number of observations that fall into each class or interval. For example, a frequency distribution could display the number of times a coin toss resulted in 0, 1, or 2 heads in a series of 10 tosses.

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The proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.

How to calculate proportion?

Assumed,

mean = μ = 3500

standard deviation = σ = 200

For proportion over 4,000 grams, use this formula

P(x>4,000) = P(z>\(\frac{x-\mu}{\sigma}\))

P(x>4,000) = P(z>\(\frac{4000-3500}{200}\))

= P(z>2.5)

Look z score table for 2.5. So, z = 0.9938. Since is over so 1 - the result

= 1 - 0.9938

= 0.0062 or 0.62%

For proportion between 3,200 and 3,800 grams, use this formula

P(3,200<x<3,800) = P(\(\frac{x-\mu}{\sigma}\)<z<\(\frac{x-\mu}{\sigma}\))

P(3,200<x<3,800) = P(\(\frac{3200-3500}{200}\)<z<\(\frac{3800-3500}{200}\))

= P(-1.5<z<1.5)

= P(z<1.5) - P(z<-1.5)

Look z score table for 1.5 and -1.5. So, z for 1.5 = 0.9332 and z for -1.5 = 0.0668

= 0.9332 - 0.0668

= 0.8664 or 86.64%

Your question is incomplete, but this answer uses assumptions and general formulas that can be used.

Thus, the proportion of babies have a birthweight over 4,00 grams is 0.62% and the proportion of babies have a birthweight between 3,200 and 3,800 is 86.64%.

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- #4 -

y = 12

[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other

8x - 61 = 6x - 13

8x - 48 = 6x

-48 = -2x

24 = x

[] Then, we will plug it into one of the angles (with x) and solve:

8x - 61

8(24) - 61

192 - 61 = 131

[] Last, these are supplementary angles so we can add them together and set it equal to 180:

131 + 3y + 1 = 180

132 + 2y = 180

2y = 48

y = 12

- #6 -

y = 22

[] First we will solve for x. These angles are vertial angles, so we can do the following:

9x + 42 = 15x

42 = 6x

7 = x -> x = 7

[] Then, we will plug it into one of the angles (with x) and solve:

15x = 15(7) = 105

[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:

4y - 13 + 105 = 180

4y + 92 = 180

4y = 88

y = 22

- #7 -

y = 9

[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:

x + 21 + 3x + 11 = 180

4x + 32 = 180

4x = 148

x = 37

[] Then, we will plug it into one of the angles (with x) and solve:

3x + 11 = 3(37) + 11 = 111 + 11 = 122

[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:

122 = 14y - 4

126 = 14y

9 = y

- See attached for where I pulled numbers from -

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

D 5

Step-by-step explanation:

Solve the inequality

5-2x ≥-3

Subtract 5 from each side

5-2x-5 ≥-3-5

-2x ≥-8

Divide by -2, remembering to flip the inequality

-2x/-2 ≤-8/-2

x ≤4

The only number not less than or equal to 4 in the choices is 5.

5 is not a solution

Answer:

Answer D is correct

Step-by-step explanation:

First, let us solve for x.

\(5 - 2x \geqslant - 3\)

First, subtract 5 by both sides.

\( - 2x \geqslant - 3 - 5 \\ - 2x \geqslant - 8\)

Divide both sides by -2.

\(x \leqslant 4\)

Now, let us identify the equality sign and write the solutions of it.

\( \sf \leqslant \: \: \rightarrow \: \: x \: is \: less \: than \: or \: equals \: to \: 4\)

Solutions

x = { 4, 3, 2, 1, 0...}

Accordingly, as 5 is greater than 4, 5 is not a solution for this given inequality.

Answer:

4x=-12

Step-by-step explanation:

Let a number = X

So

The product of four and a number is negative twelve

4x=-12

Answer:

lateral area = side area = (10 x 6 x 2) + (14 x 10 x 2) = 400 in²

total surface area = lateral area + top & bottom area = 400 + (14 x 6 x 2) = 568 in²

You know that there are 25 people and each person had 36 carrots. To find how many carrots everyone has in total, you have to multiply 25 by 36.

25 times 36 is 900.

There are 900 carrots altogether.

Answer:

2/8 of the fifth graders are not in band

Step-by-step explanation:

To find how many fifth graders are not in band, subtract the # of fifth graders in band. Your difference is the amount of fifth graders that are not in band. To check your answer add 2/8 + 6/8 which should be equal to 8/8 or a whole ( 1 ).

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Answer:

the number of sides is 12

Step-by-step explanation:

The computation of the number of sides in the polygon is shown below:

As we know that

S_n = n ÷ 2 (a_1 + a_n)

= n ÷ 2 × (128 + 172)

= 150 n

Now given that the sum of the measures = 180 (n - 2)

So,

Sn = 180 (n - 2)

150n = 180n - 360

30n = 360

n = 12

Hence, the number of sides is 12

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

The index of x should  be 0 so that its value will be equal to 1.

Answer:

it means wh

Step-by-step explanation:

it means that what are the size in each side

Step-by-step explanation:

there are multiple concepts we can use.

I will focus on similar triangles. that would mean all angles in both triangles are the same, and the side length ratio of a corresponding side pair is the same for all side pairs.

ABC is similar to WYC.

the lengths of the legs in WYC are clearly half the lengths in ABC.

so, also the baseline of WYC must be half of the baseline of ABC.

therefore,

AB = 2×WY = 2×38 = 76

WYC is similar to XBY. in fact, as the ratio of the side lengths is 1 (because CY = YB), they are not only similar but congruent.

but in any case, with the same ratio of 1 it means that WC = XY = 24

therefore,

AC = 2×WC = 2×24 = 48

AXW is again similar to ABC (because again, the side ratios are the same : 1/2).

so, WX is half of CB

therefore,

WX = CB / 2 = 66/2 = 33

Answer:

B. The slope is positive

Step-by-step explanation:

If line looks like this / the slope is positive

If line looks like this \ the slope is negative

If line looks like this --- the slope is 0

If line looks like this | the slope is undefined

To determine the sample size necessary for this study, we use the formula: n = (Z^2 * p * q) / E^2. The necessary sample size is approximately 1091.

Where:
- n = sample size
- Z = Z-score for the desired confidence level (98% confidence level corresponds to a Z-score of 2.33)
- p = estimated proportion (based on the information given, p = 0.8)
- q = 1 - p
- E = desired margin of error (3 percentage points)

Plugging in the values:

n = (2.33^2 * 0.8 * 0.2) / 0.03^2
n = 806.67

Rounding up to the nearest whole number, we get a sample size of 807. Therefore, the researcher needs to survey at least 807 women to be 98% confident that the proportion of women who wear shoes that are too small is within 3 percentage points of the true proportion.

To determine the necessary sample size for this study, we can use the formula for sample size calculation in proportion estimation:

n = (Z^2 * p * q) / E^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, p is the estimated proportion, q is the complement of the proportion (1 - p), and E is the margin of error.

In this case, we have:
- Confidence level: 98%, which corresponds to a Z-score of 2.33 (from the standard normal distribution table)
- Estimated proportion (p): 80% or 0.80
- Complement of the proportion (q): 1 - 0.80 = 0.20
- Margin of error (E): 3 percentage points or 0.03

Now, we can plug these values into the formula:

n = (2.33^2 * 0.80 * 0.20) / 0.03^2
n ≈ 1090.65

Since we need to round to the nearest whole number, the necessary sample size is approximately 1091.

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The different percentages are, 42%, 21% and 63%.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The word "percent" is used to symbolize it.

There is no dimension to percentages. As a result, it is known as a dimensionless number. We must divide the value by the entire value to find the percentage, and then multiply the resulting number by 100.

Now, according to the given information, the double number line shows that 42 people watched Deon's new video today.

Now, we are to find,

100% of 42 people.

This is, (100/100)*42 = 42%.

Again, 50% of 42 people is,

(50/100)*42 = 21%.

Again, 150% of 42 people is,

(150/100)*42 = 63%.

Hence, the percentages are, 42%, 21% and 63%.

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Answer:

Answers are in the explaination.

Step-by-step explanation:

100% of 42 people answer is 42

50% of 42 people answer is 21

150% of 42 people answer is 63