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Using the given set of scores, let's find the set that has the smallest standard deviation.

The standard deviation shows the dispersion of the dataset from its mean.

We have the following:

• A. 126, 129, 131, 134

Let's find the mean:

Answer:

2/3

Step-by-step explanation:

there will be 4/6 of the pie and simplify to be 2/3

Answer:

9 feets

Step-by-step explanation:

From the question, we have our scale factor as:

4:9 = 4/9

Smaller circle /Bigger circle = 4/9

A circle has a radius of 4 feet. What is the radius of a bigger circle?

Let the radius of the bigger circle = x

This is calculated as:

4/9 = 4/x

Cross Multiply

4x = 9 × 4

x = 36/4

x = 9 feet

Therefore, the radius of the bigger circle is 9 feet

Answer:

1353.4 x 10^3

Step-by-step explanation:

(7.2 x 107) + (5.5 x 106) = 770.4 + 583 = 1353.4

Scientific Notation: 1353.4 = 1353.4 x 10^3

Answer: 1.3534x10^3

Step-by-step explanation:

(7.2 x 107) + (5.5 x 106) =6767/5 = 1353.4 =  1.3534x10^3

Answer:

n = 9 \(\frac{1}{3}\)

Step-by-step explanation:

First, let's write an equation to show this statement, using a variable N for the number.

3n - 9 = 19

Now to isolate variable N, add nine to both sides to cancel out.

3n = 19 + 9

Simplify.

3n = 28

Now we can divide both sides by three to get our answer.

n = 9 \(\frac{1}{3}\)

Sorry about the fraction - Brainly wouldn't let me bold it :(

I hope this helps! As always, if you have questions, leave a comment, and i'll answer it as soon as I can (or maybe someone else will). Also if possible brainliest would be super appreciated, and I also just wanted to thank you for being SO GENEROUS with the points on this question. You don't even know how much I appreciate them!

Answer: 5,000 calories

Step-by-step explanation:

Subtract both

Answer:

72.26

Step-by-step explanation:

Circumference formula is C=2\(\pi\)r

Radius is 1/2 the diameter so, 23/2 = 11.5

11.5 will be your radius.

Now, plug your radius into your formula: 2 x \(\pi\) x 11.5

and your answer will be approximately 72.26.

Answer:

Step-by-step explanation:

Answer:

You must find the diameter then half it, so the radius, and then multiply it by 3.14152

Step-by-step explanation:

Suppose after the shock, the economy temporarily stays at the short-run equilibrium, then the output gap Y2−Y1 is: B< (less than)As the output gap measures the difference between the actual output (Y2) and potential output (Y1), when the output gap is less than zero, that is, the actual output is below potential output.

The inflation gap π2−π1 is 0. C= (equal)When the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.12. Suppose there is no government intervention, the economy will adjust itself from short-run equilibrium to long-run equilibrium, at such long-run equilibrium, output gap Y3−Y1 is 0. C= (equal). As the long run equilibrium represents the potential output of the economy, when the actual output is equal to the potential output, the output gap is zero.13.

The inflation gap π3−π1 is 0. C= (equal) Again, when the inflation gap is zero, it means that the current inflation rate is equal to the expected inflation rate.14. (1 point) Suppose the Fed takes price stability as their primary mandates, then which of the following should be done to address the shock. B monetary tightening When the central bank takes price stability as its primary mandate, it aims to keep the inflation rate low and stable. In the case of a positive shock, which can lead to higher inflation rates, the central bank may implement a monetary tightening policy to control the inflation.

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Answer:

74747

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:133.4

Step-by-step explanation:

When describing the central tendency for qualitative data, the measure that is commonly used is the mode.

Unlike quantitative data, where measures such as the mean or median can be used to describe central tendency, qualitative data consists of categories or labels rather than numerical values.

Therefore, the mode is the most appropriate measure for central tendency in this context.

The mode can be useful in summarizing qualitative data by identifying the most common category or response. It provides insight into the most prevalent characteristic or attribute among the data, allowing for a better understanding of the distribution and patterns within the dataset.


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Answer:

Part A. x is greater than y

Part B. y is greater than x.

Step-by-step explanation:

Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.

Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.

Step-by-step explanation:

2524 ÷ 23 = 24a6u= 7

bengek hyung

Answer:

f(4) = 5

Step-by-step explanation:

functions are represented by f(x), so x should be the value in parenthesis and the y value should be what it equals

The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.

Hence, the correct interpretation of the 95% confidence interval is:

"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."

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Answer:

Richard

Step-by-step explanation:

40÷4 weeks(28 days)=10

Nestor:45÷5=9

There are 2730 ways in which 15 race cars can finish in first, second, and third place.

Let's examine this logically now. Any one of the 15 runners can cross the finish line in first place. You can still have any one of the 14 race cars who are still running finish in second place. Any one of the 13 race cars who haven't crossed the finish line yet can take third place.

As a result, multiplying all the possibilities will give us the number of ways ;

Number of ways =15*14*13

                            =2730

So, the total number of ways in which the race cars finish in first, second, and third place is 2730.

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

$97.2

Step-by-step explanation:=Given

The expression p + 0.08p

where P= the initial price

let y be the total cost, so that

y=p + 0.08p

for p=$90

y=90+0.08*90

y=90+7.2

y=$97.2

Hence the total cost for a $90 price is $97.2

9514 1404 393

Answer:

  a) 9/2 = 4.5, bushels per hour

  b) (3, 10), (6, 20), (9, 30), (12, 40)

  c) Shawn

Step-by-step explanation:

a) The line goes through the grid point (4, 18), so its slope is ...

  18/4 = 4.5 . . . . slope = "unit rate"

The units are (y-units)/(x-units) = bushels/hour.

__

b) You have correctly filled in the table.

Time-values are 3, 6, 9, 12.

Fruit values are 10, 20, 30, 40.

The unit rate for Carla is ...

  10 bu/(3 h) = 3 1/3 bushels/hour ≈ 3.33 bushels/hour

__

c) Shawn's unit rate of 4.5 bushels per hour is greater than Carla's unit rate of 3.33 bushels per hour. Shawn picked fruit at a faster pace.

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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The total number of defective iphones from a batch of 16,530 iphones is equal to 513 .

Total  number of iphones examined by quality-control inspector =290

Total number of iphones in a batch = 16,530

Number of iphones defective out of 290 = 9

Let us consider x be the number of defective iPhones in the batch of 16,530 iPhones.

Use proportions to find out how many defective iPhones there will be in a batch of 16,530 iPhones.

The proportion of defective iPhones in the sample of 290 iPhones is,

= 9/290

Proportion of defective iPhones in a batch of 16,530 iPhones,

Set up a proportion,

9/290 = x/16530

To solve for x, we can cross-multiply,

⇒ 9 x 16530 = 290 x

⇒ 148,770 = 290 x

⇒ x = 513

Therefore, there will be approximately 513 defective iPhones in a batch of 16,530 iPhones.

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The negative correlation coefficient of -0.73 between consumption of vitamin A and the cancer rate of a particular type of cancer suggests that as vitamin A consumption increases, the cancer rate tends to decrease.

A correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this case, a correlation coefficient of -0.73 indicates a negative correlation between consumption of vitamin A and the cancer rate.

Interpreting this correlation, it can be inferred that there is an inverse relationship between the two variables. As consumption of vitamin A increases, the cancer rate tends to decrease.

However, it is important to note that correlation does not imply causation.

It would be incorrect to conclude that consuming more vitamin A causes this type of cancer. Correlation does not provide information about the direction of causality.

Other factors and confounding variables may be involved in the relationship between vitamin A consumption and cancer rate.

To establish a causal relationship, further research, such as experimental studies or controlled trials, would be necessary. These types of studies can help determine whether there is a causal link between vitamin A consumption and the occurrence of this particular cancer.

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The calculated value of the area of the figure  is 11326.5 sq units

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

Composite figure

The shapes in the composite figure are

This means that

Area = Rectangle + Triangle

Using the area formulsa on the dimensions of the individual figures, we have

Area = 62 * 180 + 1/2 * (62 - 25) * 9

Evaluate

Area = 11326.5

Hence, the area of the figure below  is 11326.5 sq units

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1) Point-slope form: y + 3 = -3(x - 7) and Slope-intercept form: y = -3x + 16

2) Point-slope form: y + 4 = -1/4(x + 3) and Slope-intercept form: y = -1/4x - 19/4

3) Point-slope form: y + 1 = -7(x + 1) and Slope-intercept form: y = -7x - 6

4) Point-slope form: y - 9 = 4(x + 3) and Slope-intercept form: y = 4x + 21

5) Point-slope form: y - 7 = 4(x - 2) and Slope-intercept form: y = 4x - 1

1) Passing through (7,-3) and perpendicular to the line whose equation is Y = (1/3)x + 5.

To find the equation of a line perpendicular to another line, we need to take the negative reciprocal of the slope of the given line. The given line has a slope of 1/3, so the perpendicular line will have a slope of -3 (negative reciprocal of 1/3).

Point-slope form:

Using the point-slope form, where (x₁, y₁) is the given point (7,-3), and m is the slope (-3):

y - y₁ = m(x - x₁)

y + 3 = -3(x - 7)

Slope-intercept form:

To convert the equation to slope-intercept form (y = mx + b), we simplify the equation:

y + 3 = -3x + 21

y = -3x + 18

2) Passing through (-3,-4) and perpendicular to the line whose equation is Y = -4x + 4.

Again, we find the slope of the given line, which is -4, and take its negative reciprocal to get the slope of the perpendicular line, which is 1/4.

Point-slope form:

Using the point-slope form, with (x₁, y₁) as (-3,-4) and m as 1/4:

y - y₁ = m(x - x₁)

y + 4 = 1/4(x + 3)

Slope-intercept form:

Simplifying the equation:

y + 4 = 1/4x + 3/4

y = 1/4x - 13/4

3) Slope = -7 passing through (-1,-1).

Using the point-slope form, with (x₁, y₁) as (-1,-1) and the given slope of -7:

y - y₁ = m(x - x₁)

y + 1 = -7(x + 1)

Slope-intercept form:

Simplifying the equation:

y + 1 = -7x - 7

y = -7x - 8

4) Slope = 4 passing through (-3,9).

Using the point-slope form, with (x₁, y₁) as (-3,9) and the given slope of 4:

y - y₁ = m(x - x₁)

y - 9 = 4(x + 3)

Slope-intercept form:

Simplifying the equation:

y - 9 = 4x + 12

y = 4x + 21

5) Slope = 4 passing through (2,7).

Using the point-slope form, with (x₁, y₁) as (2,7) and the given slope of 4:

y - y₁ = m(x - x₁)

y - 7 = 4(x - 2)

Slope-intercept form:

Simplifying the equation:

y - 7 = 4x - 8

y = 4x - 1

These are the detailed solutions for finding the equations of the lines in point-slope form and slope-intercept form based on the given conditions.

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99% confidence interval for the number of chocolate chips per cookie is

15.4 ± 1.1115

The mean of sample plus and minus the range of that sample constitutes a confidence interval.

Within a specific level of confidence, this is the range of values anticipated to fall within, if the test is repeated.

Number of cookies in the sample n = 55

Mean μ = 15.4

Standard deviation s = 3.2

Confidence = 99%

For 99% confidence interval Z-value = 2.576

Confidence interval

= μ ± Zs/√n

= 15.4 ± 2.576×3.2/√55

= 15.4 ± (8.2432/7.4162)

= 15.4 ± 1.1115

Hence, 15.4 ± 1.1115 is the 99% confidence interval for the number of chocolate chips per cookie.

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Required values:

The length of one side of the garage was originally 17.7 ft long

The length of one of the sides of the garage is now 21.7 ft long

The percentage increase in length is 22.5%.

Given parameters are;

The area of the square garage is 314 ft.²

The area of the new garage has 50% more space

Required;

Initial side length:

The initial side length, given to the nearest tenth, s, is the square root of the area, A, given as follows;

s = √(314 ft.²) ≈ 17.7 ft.

New Side length:

The side was increased by 50%, to give,

314 + 0.5×314 = 471

The new area of the garage = 471 ft.²

The side length of the new garage, s = √(471) ≈ 21.7 ft

The side of the garage now is 21.7 ft.

Percentage increase in length:

The percentage increase is given as follows;

% increase in length

= new side length - old side length / old side length * 100  

= 21.7 - 17.7 / 17.7 *100

= 22.5 %

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The graph shown in option (B) represents the solution to the inequality y<1/2x-4

A relation between two mathematical expressions which are not equal is known as inequality.

The inequality symbol is "<" (less than).

So, the line of the graph should be dashed and shaded below the line.

Comparing the graphs given in the question, we can conclude that option (B) is correct.

Hence, the graph in option (B) represents the solution to inequality y<1/2x-4.

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Answer:

B aka y<1/2x-4

Step-by-step explanation:

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