Determine the upper-tail critical value for the χ2 test with 7
degrees of freedom for α=0.05.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical rule that applies to data that is approximately normally distributed. It states that:
Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard deviations of the mean

In the context of your question, where the mean IQ is 100 and the standard deviation is 15, we can use the empirical rule to answer certain questions.
Approximately 68% of individuals would have an IQ between 85 and 115, since this range falls within one standard deviation of the mean.

Approximately 95% of individuals would have an IQ between 70 and 130, since this range falls within two standard deviations of the mean. Approximately 99.7% of individuals would have an IQ between 55 and 145, since this range falls within three standard deviations of the mean.

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Approximately 99.7% of the IQ scores will fall between 55 and 145. The empirical rule, also known as the 68-95-99.7 rule, is a statistical principle that applies to data that follows a normal distribution. It states that:

1. Approximately 68% of the data falls within one standard deviation of the mean.
2. Approximately 95% of the data falls within two standard deviations of the mean.
3. Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, the standardized test of intelligence has a mean IQ of 100 and a standard deviation of 15.

1. To determine the range of IQ scores within one standard deviation of the mean, we can use the empirical rule. Since 68% of the data falls within one standard deviation of the mean, we can calculate the range as follows:
  - Lower bound: Mean - Standard deviation = 100 - 15 = 85
  - Upper bound: Mean + Standard deviation = 100 + 15 = 115
  Therefore, approximately 68% of the IQ scores will fall between 85 and 115.

2. To determine the range of IQ scores within two standard deviations of the mean, we can use the empirical rule. Since 95% of the data falls within two standard deviations of the mean, we can calculate the range as follows:
 \(- Lower bound: Mean - (2 \times Standard deviation) = 100 - (2 \times 15) = 70\\- Upper bound: Mean + (2 \times Standard deviation) = 100 + (2 \times 15) = 130\)
  Therefore, approximately 95% of the IQ scores will fall between 70 and 130.

3. To determine the range of IQ scores within three standard deviations of the mean, we can use the empirical rule. Since 99.7% of the data falls within three standard deviations of the mean, we can calculate the range as follows:
 \(- Lower bound: Mean - (3 \times Standard deviation) = 100 - (3 \times 15) = 55\\ -Upper bound: Mean + (3 \times Standard deviation) = 100 + (3 \times 15) = 145\)
  Therefore, approximately 99.7% of the IQ scores will fall between 55 and 145.

These ranges give us an idea of where the majority of IQ scores are likely to fall based on the standard deviation from the mean.

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To check the if a table represents a linear function we have to find the rate of change between the first two ordered pairs can be compared to the rate of change between the first and last ordered pairs to see if they are the same.

Well, a straight line is proportional to a linear function (on a graph). And the answers to the numbers can't be the same. If the X input is 5, for instance, and the Y output is 7, then Another non-linear X input of 5 and Y output of 8 follows.

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

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Answer:

They won 16 games

Step-by-step explanation:

divide 20 by 5 = 4

4 tiems 4 equal to 16

To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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The sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

To calculate the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator we will follow these steps:

Step 1: Calculate the amount of discount = Regular Price × Discount rate

Discount rate = 35/100

Simplifying the value we have:

Discount rate = 0.35

Amount of discount = 91 × 0.35

Amount of discount = $31.85

Step 2: Calculate the sale price

Sale price = Regular price − Amount of discount

Sale price = $91 − $31.85

Sale price = $59.15

Hence, the sale price of an item that is regularly priced at $91 and is on sale for 35% off the regular price using the aleks calculator is $59.15.

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Answer:

y=0.5x-2

Step-by-step explanation:

8y=4x-32/2

First thing you are going to do is solve for 32/2=16 and then enter it into the equation.

8y=4x-16

Second thing you are going to do is divide everything by 8 to get rid of 8y.

8y=4x-16

-------------

   8

4/8=0.5 and 16/8=2

y=0.5x-2

Answer:

Step-by-step explanation:

-3x - 3(15x - 17) = 3

-3x - 45x + 51 = 3

-48x + 51 = 3

-48x = -48

x = 1

Answer: (a)

Step-by-step explanation:

Given

The given graph is y=-2x+6 and it changed to y=3x+2

The slope of the graph determines the steepness

Slope changes from -2 to 3. So, latter graph is more steeper.

Also, y intercept is obtained by putting x as 0

Y intercept changes from 6 to 2 i.e. decrease of 4 units

Hence, option (a) is correct.

The length of the line is approximately 5 people.

To find the length of the line given the arrival rate, service rate, and average waiting time, you can use the following formula:

Length of the line = (Arrival rate × Average waiting time) + (Arrival rate / Service rate)

First, convert the average waiting time from minutes to hours:

24 minutes = 24/60 = 0.4 hours

Now, plug in the given values into the formula:

Length of the line = (9 arrivals/hour × 0.4 hours) + (9 arrivals/hour / 14 services/hour)

Length of the line = (3.6 arrivals) + (0.6429 arrivals)

Length of the line ≈ 4.24 arrivals

Since you can't have a fraction of a person in the line, round up to the nearest whole number:

Length of the line ≈ 5 arrivals

So, the length of the line is approximately 5 people.

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Answer:

(-3,0),(-2,1),(-1,0),(0,-3),(-5,-8)

Step-by-step explanation:

Answer:

The percentage change in volume from cylinder A to cylinder B is 50% volume increased by 50% option (C) is correct.

What is a cylinder?

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the formula for the volume of the cylinder is given by:

We have r = 10 inches and h = 5 inches

V = 500π cubic inches

Percent change in volume from cylinder A to cylinder B:

= 50%

Thus, the percentage change in volume from cylinder A to cylinder B is 50% volume increased by 50% option (C) is correct.

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Step-by-step explanation:

The equation of line is given by y = 3x - 1 and the slope is m = 3

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = 3x - 1   be equation (1)

And , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

So , the slope of the line is m = 3

The y intercept of the line b = -1

Hence , the equation of line is y = 3x - 1 and the graph is plotted

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Answer:

Annalise is correct because the outputs are closest when x = 1.35

Step-by-step explanation:

The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.

The solution set of the example inequality, 2•x + 3 ≤ -3, is the option;

A possible inequality that can be used to get one of the options, (the inequality is not included in the question) is as follows;

Solving the above inequality, we have;

2•x + 3 ≤ -3

2•x ≤ -3 - 3 = -6

2•x ≤ -6

Therefore;

x ≤ -6 ÷ 2 = -3

x ≤ -3

Which gives;

-∞ < x ≤ -3 in interval notation is (-∞, -3]

The solution set of the inequality, 2•x + 3 ≤ -3, is therefore the option;

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Answer: 7a

Step-by-step explanation:

Step-by-step explanation:

do sum of 3a and 4a your answer will be 7a

Answer: 8

Step-by-step explanation:

A box plot has 5 data descriptions. The correct option is b, 8.

A box plot has 5 data descriptions.

As it is known about the box-plot that the mid-line shows the median of the data, therefore, the median of the given box-plot is 8.

Hence, the correct option is b, 8.

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Answer:

9 laps

Step-by-step explanation:

75% of something is the same as three-fourths, or multiplying by 0.75

12 x 0.75 = 9

or you can divide by 4 and then multiply by three if you know what to separate the original number into

12/4 = 3     3 x 3 = 9

Answer: 22 miles per gallon

Step-by-step explanation: 66/3 = 22.

Answer:

22 miles per gallon

Step-by-step explanation:

66/3=22

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, Gregg cut 4 sections of pizza dough.

Answer:

B.) 25 mph

 2 5

4 | 1 0 0

8

2 0

2 0

0      0

Answer:

25mph

Step-by-step explanation:

100/4

Work Shown:

g(x) = -x+2

g(5) = -5+2 ... replace every x with 5

g(5) = -3

Answer:

g(5) = -3

Step-by-step explanation:

given:

\(g(x ) = - x + 2g(x) = - x + 2\)

find:

\(g(5)\)

replace x with 5

\(g(5) = - 5 + 2\)

\(g(5) = - 3\)

Answer:

Are you doing monarch?

If so I do too!

Answer:

v = 3.483

Step-by-step explanation:

-6v -15v -19 = -91

-21v = -91 +19

-21v = -72

-21v/-21 = -72/-21

v = 3.483

Answer:

Corresponding Angles and Alternate Exterior

Step-by-step explanation:

The angles are corresponding if same side in a parallel.

This is because as the lines are parallel to one another that means that the next following angle measure is the same in approach.

For the other problems if they are opposite sides from one another.

They are called alternate exteriors.

Answer: are you in the algerbra in flvs ? lol just wondering

Step-by-step explanation:

it would be the last option or

(40, 70, 70, 80, 80, 95, 95, 100)

have a great day :)

The following data sets are represented in the box plot

(40, 70, 70, 80, 80, 95, 95, 100)

We have given that,

the class scores on a particular math test box plot with a number line titled percent with 40 as the minimum, 70 as quartile 1, 80 as the median, 95 as quartile 3, and 100 as the maximum

A boxplot is a graph that gives you a good indication of how the values in the data are spread out.

The following data sets are represented in the box plot

(40, 70, 70, 80, 80, 95, 95, 100).

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Answer:

y-intercept: 2

x-intercept: -2, 4

Step-by-step explanation:

Y-intercepts and x-intercepts are points on the graph that are on the y-axis and x-axis, respectively.

Looking at the graph, the graph passes through the y-axis at y=2. Therefore, the y-intercept is 2.

Looking at the graph, the graph passes through the x-axis at x=-2 and x=4. Therefore, the x-intercepts are -2 and 4.

The area between the function f(x) = 2x and the x-axis over the interval [-3, 3] is 18 square units.

Given function: f(x) = 2x

The interval is [-3, 3]

To find the area between the curve and the x-axis over the interval [-3, 3], we need to integrate the absolute value of the function i.e.,

∫|f(x)| dx from -3 to 3.

Here, f(x) = 2x, so

|f(x)| = 2x

∴ Area between the curve and the x-axis = ∫|f(x)| dx from -3 to 3

= ∫|2x| dx from -3 to 3

= ∫2x dx from -3 to 3

As we know that absolute value is a piecewise-defined function. Therefore, we can evaluate it separately for x < 0 and x ≥ 0.  

So,

∫|2x| dx from -3 to 3 =∫-2x dx from -3 to 0 + ∫2x dx from 0 to 3

∴ Area between the curve and the x-axis= (∫-2x dx from -3 to 0 + ∫2x dx from 0 to 3)

= [x²] from -3 to 0 + [x²] from 0 to 3

= [(0)² - (-3)²] + [(3)² - (0)²]

= 9 + 9

= 18 square units.

Conclusion: So, the area between the function f(x) = 2x and the x-axis over the interval [-3, 3] is 18 square units.

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Answer:

All of them work just depends on which coordinate you use.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You can cross off B because 1 × 2 does not equal 7

and A because 2×6=12 not 10

and c because 4×3 does not equal 16