4. Suppose that Researcher Doe increased her sample size from 100 to 120, while Researcher Smith increased his sample size from 500 to 520. Which researcher will get a greater increase in precision by increasing the sample size by 20

a. The class width for all intervals in this frequency distribution is 3.

b. Calculating the class midpoints for all intervals, we get:

32-35: 33.5

36-39: 37.5

40-43: 41.5

44-47: 45.5

48-51: 49.5

52-55: 53.5

56-59: 57.5

c. Calculating the class boundaries for all intervals, we get:

32-35: 30.5-36.5

36-39: 34.5-39.5

40-43: 38.5-43.5

44-47: 42.5-47.5

48-51: 46.5-51.5

52-55: 50.5-55.5

56-59: 54.5-59.5

The number of full oscillations that any wave element performs in one unit of time is how we determine the frequency of a sinusoidal wave.

To find the class width, class midpoints, and class boundaries for the given frequency distribution, let's analyze the temperature intervals and frequencies:

Temperature (°F)    Frequency

32-35                      1

36-39                      3

40-43                      5

44-47                      11

48-51                      7

52-55                      7

56-59                      1

(a) Class width:

The class width is the difference between the upper and lower boundaries of each temperature interval. In this case, all the intervals have the same width.

Class width = Upper boundary - Lower boundary

For example, in the first interval (32-35), the lower boundary is 32 and the upper boundary is 35.

Class width = 35 - 32 = 3

The class width for all intervals in this frequency distribution is 3.

(b) Class midpoints:

The class midpoint is the average value of the upper and lower boundaries of each interval. It represents the central value of the interval.

Class midpoint = (Upper boundary + Lower boundary) / 2

For example, in the first interval (32-35), the lower boundary is 32 and the upper boundary is 35.

Class midpoint = (35 + 32) / 2 = 33.5

Calculating the class midpoints for all intervals, we get:

32-35: 33.5

36-39: 37.5

40-43: 41.5

44-47: 45.5

48-51: 49.5

52-55: 53.5

56-59: 57.5

(c) Class boundaries:

The class boundaries are the values that separate each interval. They are calculated by adding or subtracting half of the class width from the upper and lower boundaries.

For example, in the first interval (32-35), the lower boundary is 32 and the upper boundary is 35, and the class width is 3.

Lower class boundary = Lower boundary - (0.5 * class width) = 32 - (0.5 * 3) = 32 - 1.5 = 30.5

Upper class boundary = Upper boundary + (0.5 * class width) = 35 + (0.5 * 3) = 35 + 1.5 = 36.5

Calculating the class boundaries for all intervals, we get:

32-35: 30.5-36.5

36-39: 34.5-39.5

40-43: 38.5-43.5

44-47: 42.5-47.5

48-51: 46.5-51.5

52-55: 50.5-55.5

56-59: 54.5-59.5

Note: The class boundaries are inclusive of the lower boundary and exclusive of the upper boundary.

These are the calculations for the class width, class midpoints, and class boundaries for the given frequency distribution.

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To find the class width, subtract the lower class limit from the upper class limit. To find the class midpoints, add the lower and upper class limits and divide by 2. To find the class boundaries, subtract 0.5 from the lower class limit and add 0.5 to the upper class limit.

(a) Class width:

To find the class width, we subtract the lower class limit from the upper class limit. For example, the class width for the first class interval (32-35) is 35 - 32 = 3.

(b) Class midpoints:

To find the class midpoints, we add the lower class limit and the upper class limit and divide the sum by 2. For example, the class midpoint for the first class interval (32-35) is (32 + 35) / 2 = 33.5.

(c) Class boundaries:

To find the class boundaries, we subtract 0.5 from the lower class limit and add 0.5 to the upper class limit. For example, the class boundaries for the first class interval (32-35) are (32 - 0.5) and (35 + 0.5).

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Answer: A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?

Answer: A) Juan buys 3 packs of markers. Each pack has 6 markers. How many markers does Juan buy in all?

Answer:

Slope = -2

Step-by-step explanation:

Slope = \(\frac{y^{2}-y^{1} }{x^{2} -x^{1} }\)

Slope = \(\frac{-4-0}{1-(-1)}=\frac{-4}{2}=-2\)

The linear equation is Y = -55643.61069X + 112841371.95165, and

value for year 2000 is  $15,54,150.6.

When modelling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method (also known as dependent and independent variables). Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are numerous variables. As opposed to multivariate linear regression, which predicts numerous correlated dependent variables as opposed to a single scalar variable, this phrase is more specific.

Given

X(year)          2008           2012         2013         2014            2015           2019

Y(values $) 1,363,812   1,097,236   1,021,124    945,012    868,900  500,200

Mean of X is Mx 2013.5

Mean of Y is My 802961.8333

X - Mx      Y - My     (X - Mx)²  (X - Mx)(Y - My)

-5.5   560850.1667  30.25  -3084675.917

-1.5      -693238.8333         2.25  1039858.25

-0.5       218162.1667         0.25  -109081.0833

0.5       151050.1667         0.25  75525.0833

1.5      65938.1667         2.25  98907.25

5.5        -302761.8333       30.25  -1665190.083

                                  SS: 65.5     SP: -3644656.5

equation is y = mx + c

m = SP/SS = -3644656.5/65.5 = -55643.61069

c = My - mMx = 802961.83 - (-55643.61 x 2013.5) = 112841371.95165

Y = -55643.61069X + 112841371.95165

and value for year 2000 is

Y = -55643.61069X + 112841371.95165

Y = $15,54,150.6

Hence the equation is  Y = -55643.61069X + 112841371.95165 and amount for year 2000 is  $15,54,150.6.

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You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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The set A' ∩ B' contains the elements 3 and 6, which are all the elements in U that are not in sets A or B.

The complement of set A, denoted by A', contains all elements in the universal set U that are not in A. Similarly, the complement of set B, denoted by B', contains all elements in U that are not in B. Therefore, we have:

A' = {3, 4, 6}

B' = {2, 3, 6, 7}

To find the intersection of A' and B', we need to find the elements that are common to both sets. In this case, the common elements are 3 and 6, so:

A' ∩ B' = {3, 6}

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It will take Mary 3.6 months (The period will occur in April.) from January to pay off her bill of $70 if she continues to pay $20 per month.

The period Mary will take to pay off her credit card balance is determined using an online finance calculator.

The input data required includes the interest rate, the present value of the bill, and the periodic payments.

I/Y (Interest per year) = 16%

PV (Present Value) = $70

PMT (Periodic Payment) = $-20

FV (Future Value) = $0

Results:

N = 3.608

Sum of all periodic payments = $-72.16

Total Interest = $2.16

Thus, Mary requires 3.6 months to pay off her credit card balance, which will occur in period 4 from January.

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Samantha was receiving an interest rate of 12% on her account.

Present value is the present value of future cash flows discounted at a certain rate. Present value is based on the concept of the time value of money, where a dollar today is worth more than a dollar in the future.

PV = FV /(1 + r )ⁿ

Information provided to us ,

time period , n = 6 years

let " $x " be the present value of Samantha's account money.

After 6 years it becomes double that is

future value, F = $2x

let "r" be rate of interest was Samantha receiving on her account.

plugging all known values in above formula,

$x = $2x /(1+r)⁶

=> (1+r)^6 = 2

=> 1 + r = (2)^1/6 = 1.122

=> r = 1.122 - 1 = 0.122

=> r = 12%

So, rate of interest is 12% .

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The solution to the inequality y < 43.5 can be graphed on a number line. The graph will show all the values of y that are less than 43.5.

To graph the solution to the inequality y < 43.5 on a number line, we start by marking the point 43.5 on the number line. Since the inequality is y < 43.5, we represent it with an open circle at 43.5 to indicate that 43.5 itself is not included in the solution.

Next, we shade the region to the left of the open circle. This shaded region represents all the values of y that are less than 43.5, including any negative values and values approaching negative infinity.

The resulting graph on the number line will show a shaded region to the left of the open circle at 43.5, indicating that all values of y in that region satisfy the inequality y < 43.5.

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George has $3,800 in the account that earns 1% annual interest and $4,200 in the account that earns 9% annual interest.

Let the amount of money in the first account that earns 1% annual interest be x and let the amount of money in the second account that earns 9% annual interest be y.

We have to find the values of x and y such that the total amount is $8,000 and the total interest earned is $416.

We can solve the problem by creating two equations.

Equation 1:

x + y = 8000

Equation 2:

0.01x + 0.09y = 416

From Equation 1, we can get the value of x as follows:

x + y = 8000y = 8000 - x

Substitute the value of y in Equation 2 and solve for x:

0.01x + 0.09(8000 - x) = 4160.01x + 720 - 0.09x = 416-0.08x = -304x = 3800

Substitute the value of x in Equation 1 to find y:

y = 8000 - x = 8000 - 3800 = 4200
Therefore, George has $3,800 in the account which earns 1% annual interest, and $4,200 in the account which earns 9% annual interest.

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The given sample is stratified sampling with topology as the stratum variable.

Archaeologists plan to examine a sample of two-meter-square plots near an ancient Greek site for artifacts visible in the ground. They choose separate samples of plots from the floodplain, coast, foothills, and high hills. We need to find the kind of this sample.

It is not a simple random sample since we cannot include just floodplains in the sample, for example. As a result, not all feasible subsets have an equal chance of being picked. This is stratified sampling with topology as the stratum variable.

Statistics is the study of data gathering, organization, analysis, interpretation, and presentation. It is customary to begin with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

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Answer:

A) 25% or 1/4

B) 5% or 1/20

Step-by-step explanation:

Part A)

Divide the down payment by the total purchase price to find the percent:

\(60,000/240,000=1/4=0.25\)

Part B)

Divide the new down payment by the total purchase price to find the percent:

\(12,000/240,000=1/20=0.05\)

Answer:

a) $1250 b) $6250

Step-by-step explanation:

1. I = PRT

2. Sub in what you know into the equation.

I = $5000 x 0.025 x 10

3. Put this into a calculator and you get $1250. This is the simple interest earned.

4. For B, simply add $1250 to $5000 to get $6250. This is how much Jamals investment will be worth at the end of the term.

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

Answer: 81,000

Step-by-step explanation:

We can solve this by using the formula given.

If f(1)=1000x3^1, then 1,000x3=3,000

If f(2)=1000x3^2, then 3^2=9 and 1000x9=9000,

and so on,

Now, f(4) will equal 1000x3^4, and 3^4 is 3x3x3x3, which is 9x9 or 9^2, which would be equal to 81, and 81x1000=81,000

To complete the table of values for the exponential function f(x) = 1000*3^x, we can evaluate the function for x = 0, 1, 2, 3, and 4, since we are interested in the number of bacteria on the phone after 4 hours.

x f(x)

0 1000

1 3000

2 9000

3 27,000

4 81,000

Therefore, after 4 hours, there will be 81,000 bacteria on the surface of the phone, assuming the number of bacteria triples every hour and can be described by the exponential function f(x) = 1000*3^x.

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The length of the line segment AB to the nearest tenth as required to be determined is; 19.1cm.

It follows from the task content that it can be inferred that; AB = 2AD.

Since the diameter of the circle is 28cm; it follows that the radius of the circle is; 28/2 = 14cm.

Hence, from trigonometric ratios;

sin ¢ = AD / OA where OA = 14 and ¢ = 86/2 = 43°.

Consequently, AD = 14 sin 43°.

AB = 2 × 14 sin 43°.

AB = 19.1

Consequently, the length of AB is; 19.1.

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Answer:

d. All of the above are true

Step-by-step explanation:

All of the following statements,

a. the stronger the linear relationship between two variables, the closer the correlation coefficient will be to 1.

b. if the correlation coefficient between the x and y variables is negative, the sign on the regression slope will also be negative.

C. if the correlation coefficient between the dependent and independent variable is determined to be significant, the regression model for y given x will also be significant.

are true

The possible amount of money in the other piggy bank correct is x < 2.69.

Given that,

Teddy has two piggy banks.

And, The difference in the amount of money between the two banks is no more than $10.

Here, One piggy bank has $7.31 in it.

Let us assume that,

The amount of money in the other piggy bank  = x

Hence, the inequality is,

7.31 + x < 10

Solve for x,

x < 10 - 7.31

x < 2.69

Therefore, x < 2.69 is the possible amount of money in the other piggy bank.

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Answer:

hol up

x=-1/8  negative one over eight

Step-by-step explanation:

Answer:

To simplify the given expression -2wx² (7w^5-3w³x² +8x^4), we can use the distributive property of multiplication over addition/subtraction. First, we can distribute -2wx² to each term inside the parentheses:-2wx² * 7w^5 = -14w^6x²-2wx² * (-3w³x²) = 6w³x^4-2wx² * 8x^4 = -16wx^6\

Now, we can combine these simplified terms by adding or subtracting them based on their exponents:-14w^6x² + 6w³x^4 - 16wx^6. This is the final simplified form of the given expression.

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The name for a data value that is far above or below the rest is called an outlier.

An outlier is an observation that deviates significantly from other observations in a dataset. It is an extreme value that lies outside the typical range of values and may have a disproportionate impact on statistical analyses and calculations. Outliers can occur due to various reasons, including measurement errors, data entry mistakes, or genuine rare events. Identifying and handling outliers appropriately is important in data analysis to ensure accurate and reliable results.

When dealing with outliers, it is important to assess whether they are the result of errors or genuine extreme values. Statistical techniques, such as box plots, scatter plots, or z-scores, can be used to detect outliers. Once identified, the appropriate action depends on the nature and cause of the outliers. In some cases, outliers may need to be corrected or removed from the dataset, while in other cases, they may provide valuable insights or require further investigation.

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Since we know that the heptagon is convex, all of its interior angles are less than 180 degrees. Let's call the smallest angle x degrees.

According to the problem, the other six angles are each 1 degree larger than the angle just smaller than it. This means the second angle is x+1, the third angle is x+2, and so on, until we get to the seventh angle which is x+6.

We know that the sum of the interior angles of a heptagon is (7-2) * 180 = 900 degrees. So we can set up an equation:

x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) = 900

Simplifying this equation, we get:

7x + 21 = 900

Subtracting 21 from both sides:

7x = 879

Dividing both sides by 7:

x = 125.57

So the smallest angle is approximately 125.57 degrees.

To find the fourth largest angle, we need to find the value of x+3.

x+3 = 125.57 + 3 = 128.57

So the fourth largest angle is approximately 128.57 degrees.

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If the price of the dream car will increase at an annual rate of 1.7 percent, it will cost about $62,232.25 after 7 years.

To find the future cost of the dream car in 7 years, we can use the formula for compound interest.

The formula for compound interest is given:

A = P (1 + r/n)^nt

Where:

A = amount of money after n years

P = principal (initial) amount of money

r = annual interest rate

t = number of years

n = number of times interest is compounded per year

Given that the dream car costs $52,300 today and it will increase at an annual rate of 1.7%, we can find the future cost of the car in 7 years as follows:

P = $52,300r = 1.7% = 0.017t = 7 years

n = 1 (annual compounding)

Using these values in the formula

A = $52,300 (1 + 0.017/1)^(1*7)

A = $52,300 (1.017)^7A ≈ $62,232.25

Therefore, the dream car will cost about $62,232.25 after 7 years.

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Answer:

(D) $20,240

Step-by-step explanation:

Since the value of her car decreases by 8% every year, in one year it will be 92% of its original price ($22,000). 0.92 * 22,000 is 20,240. Therefore, the answer is D.

Hope this helps :)

Answer:

Jimmy ran 12 miles last week.

Step-by-step explanation:

32-20=12

F

1) For variables like these, we most often use the mean that will compute all data points (in this case, the number of jobs a person had throughout his life ) for a central tendency measure.

2) Examining the options, then we can state that the answer is: F

and that is the answer.

Answer:

21/7=3

3 times bigger.

Step-by-step explanation:

the conclusion is that angle AOZ  and XOB is approximately equal

We are given that WOA and AOZ are equal, and since the AB intersects the line WY and XZ, were from the vertical angles theorem, This hypothesis says that when two straight lines meet, they frame two sets of linear sets with congruent angles, then angle WOZ and XOY equal and XOW and YOZ are too, now since the Ab intersects those angle on pint A and by the transitive property If any angles or segments are congruent to the same angle, at that point they are consistent to each other, according to which it was clear that both the angle BOY and XOB are approximately equal, there  vertical angle which are angles WOA and AOZ are equal  to them, So it can be concluded that the angle AOZ and XOB are equal too.

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Answer:

b

Step-by-step explanation:

for edmuntum

The length of the fence in feet if he uses all 72 feet of material is 33 feet.

Perimeter = 2(length + width)

72 = 2(x + 3)

72 = 2x + 6

72 - 6 = 2x

68 = 2x

x = 68/2

x = 33 feet

Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.

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