At a high school, students can choose between three art electives, four history electives, and five computer electives. Each student can choose two electives. What is the approximate probability that a student chooses a computer elective and an art elective? 0. 11364 0. 21212 0. 22727 0. 42424.

The degrees of freedom for a goodness-of-fit test with 7 categories is 6, and this value is used to determine the critical value for the chi-square test statistic.

The degrees of freedom (df) for a goodness-of-fit test with k categories is calculated as (k-1), where k represents the number of categories or groups being compared. Therefore, for a goodness-of-fit test with 7 categories, the degrees of freedom would be 6.

The goodness-of-fit test is a statistical test that assesses whether a set of observed data fits a particular theoretical distribution. The test involves comparing the observed frequencies of data in each category with the expected frequencies based on the theoretical distribution. The chi-square test is commonly used for this purpose.

The degrees of freedom in a chi-square goodness-of-fit test are important because they determine the critical value of the test statistic. The critical value is compared to the calculated chi-square value to determine whether the observed data fits the theoretical distribution.

If the calculated chi-square value is greater than the critical value, then the observed data does not fit the theoretical distribution and the null hypothesis is rejected. If the calculated chi-square value is less than the critical value, then the observed data fits the theoretical distribution and the null hypothesis is not rejected.

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Answer:

He has used 1395 or more minutes each month.

Step-by-step explanation:

Each minute cost $0.05.

m minutes cost 0.05m.

The monthly fee is $30.

The total monthly charge for the monthly fee and minutes is

0.05m + 30

His smallest charge was $99.75, so all his charges are $99.75 or more.

That means his charges are greater than or equal to $99.75.

0.05m + 30 ≥ 99.75

0.05m ≥ 69.75

m ≥ 1395

Answer: He has used 1395 or more minutes each month.

Answer:

The data in this scenario would most likely be categorical, as the responses would likely consist of categories or labels that describe the different activities that the teenagers would like to see in the community room on Saturdays.

Step-by-step explanation:

For example, the responses might include categories such as "video games," "board games," "movie nights," "sports activities," "arts and crafts," and so on. These categories are not numerical values, but rather descriptive labels.

The numbers that are located to the right of - 4 on a horizontal number line is

A.) - 1/2

B.) 5 1/2

D.) - 3 2/3

E.) - 1 2/3

G.) 2 /3

H.) - 4

What is number line?

A number line is a diagram of a graded straight line used to represent real numbers in introductory mathematics. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

Given the numbers :

A. -1/2 ; B. 5 1/2 ; C. -4 2/3 ; D. -3 2/3 ; E. -1 2/3 ; F. -5 1/2 ; G. 2/3 ; H. -4

Select which are located to the right of - 4 1/3 on an horizontal number line;

Kindly note that ; numbers located to the right of - 4 1/3 will be greater.

Hence, all numbers in the option greater Than - 4 1/3 are correct.

All positive numbers are located to the right ;

All negative greater than - 4 1/3

A.) - 1/2

B.) 5 1/2

D.) - 3 2/3

E.) - 1 2/3

G.) 2 /3

H.) - 4

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The area of the top surface of the wedge is 9 × pi square inches.

To find the area of the top surface of the wedge, we first need to find the area of the whole circle with radius 6 inches. The formula for the area of a circle is A = pi × \(r^2\), where A is the area and r is the radius.

So, A = pi × \((6)^2\) = 36 × pi square inches.

Since the central angle of the wedge is pi/2 radians, we can find the fraction of the circle that is represented by the wedge by dividing pi/2 by 2 × pi (the total number of radians in a circle).

So, the fraction of the circle represented by the wedge is pi/2 / 2 × pi = 1/4.

To find the area of the top surface of the wedge, we simply multiply the area of the whole circle by this fraction:

Area of top surface = (1/4) × 36 × pi = 9 × pi square inches.

Therefore, the area of the top surface of the wedge is 9 × pi square inches.

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Since Tony is self-employed, he will have to pay all of the tax himself.

Take his adjusted earnings times the tax rate

58238.74 * 2.9%

58238.74 * .029

1688.92346

Rounding to the nearest cent

1688.92

Answer:

-9/8

Hope this helps

The right answer is - 9/8

please see the attached picture for full solution

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One vase of flowers contains eight purple tulips and six yellow tulips. A second vase of flowers contains five purple tulips and nine yellow tulips. An example of dependent events is selecting a purple tulip from the first vase and then selecting a yellow tulip.

The probability of selecting a purple tulip from the first vase is 8/14. Therefore, the probability of selecting a yellow tulip from the first vase is 6/14. Now, the second event is to select a tulip from the second vase. The event of choosing a purple tulip from the second vase is 5/14. Therefore, the second event would depend on the result of the first event. The answer is "yellow tulip" since the two events are dependent on each other.

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Answer:

47

Step-by-step explanation:

Answer:

x = 63

Step-by-step explanation:

180 = 47 + 70 + x

180 = 117 + x

180 - 117 = x

63 = x

Answer:

No Solution

Step-by-step explanation:

It's false there's no solution

the equation for g(x) is g(x) = (x - 3)² - 6.

The function g(x) can be obtained by applying a horizontal and vertical shift to the graph of f(x) = x². The horizontal shift of three units to the right can be achieved by replacing x in f(x) with (x - 3), which moves the graph to the right. The vertical shift of six units down is accomplished by subtracting 6 from f(x).

Therefore, the equation for g(x) is g(x) = (x - 3)² - 6. This equation represents a parabola that has the same shape as f(x) = x² but is shifted three units to the right and six units down in the coordinate plane.

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Answer:

he isn't

Step-by-step explanation:

The wood has dimensions of 18 x 12

If He wants the tray to have a height of 2, subtract 2 x 2 from both the length and the width

18 - 4 = 14

12 - 4 = 8

the highest possible dimensions of the tray can be 14 x 8

10 1/2 x 10 1/2 is greater than 14 x 8. so he is not correct

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

\(\dfrac{9x-9}{3x - 3}=\dfrac{9*(x -1)}{3 * (x - 1)} = 3\)

The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.

The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.

To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.

Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.

The coefficient of variation is then given by:

CV = (s / μ) x 100%

Substituting the values, we get:CV = (60 / 535) x 100%

= 0.1121 x 100%

= 11.21%

Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.

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The coefficient of variation for SAT scores at this school is approximately 11.21%.

The coefficient of variation for SAT scores at this school can be calculated using the following formula:

Coefficient of Variation = (Standard Deviation / Mean) x 100

Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is

60, we can plug these values into the formula:

Coefficient of Variation = (60 / 535) x 100

Now, let's perform the calculations:

Coefficient of Variation ≈ 11.21 %

So, the coefficient of variation for SAT scores at this school is approximately 11.21%.

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all are rational EXCEPT sqrt(48)

sqrt(225) = 15 so it is rational

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

Step-by-step explanation:

Price of one pound of apples = $1.49

∴Price of 2 and 1/2 pound of apples = \(2\frac{1}{2}\) × \(1.49\)

                                                            = 2.5 × 1.49

                                                            = 3.725

                                                            = $ 3.73

Hope this helps!!

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Answer:

$3.73

Step-by-step explanation:

Answer:

9 would be the place u put it on!!

Step-by-step explanation:

hope this hellps!!!

Answer:

The answer is

Step-by-step explanation:

Answer:  \(y < -\frac{1}{2}x+3\)

This is the same as writing y < (-1/2)x+3

==============================================================

Explanation:

The dashed boundary line goes through (0,3) and (4,1)

Apply the slope formula for those two points

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

m = (1-3)/(4-0)

m = -2/4

m = -1/2

The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing \(y = -\frac{1}{2}x+3\)

We shade below the dashed line to represent the inequality \(y < -\frac{1}{2}x+3\). Points in the shaded region are solutions to the inequality. One example point is (0,0).

Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.

Answer:

4/24

Step-by-step explanation:

225 = 81 - a2

a2 =225 - 81 = 144

\( \sqrt{144} \)

"The spaces are usually stocked with standard office [26] equipment,

such as photocopiers, printers, and fax machines." Option A: No Change, i.e., no sentence correction is needed.

Sentence correction or sentence improvement is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

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The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

The force produced when two surfaces collide and slide against one another is known as frictional force. The following variables impact the frictional force: Surface roughness and the amount of force pressing them together have the biggest an impact on these forces..

Given that,

8 kg is indicated as the sled[mass. ]'s

The fictional force is given as 2.4 N

A force of 20 N was exerted on the sled at angle of 50⁰.

The force is split into vertical and horizontal components,

\(F_{h} =F_{p}cos\)  And  \(F_{v}=F_{p} sin\)

Here  \(F_{h}\) is the horizontal component and \(F_{v}\)  is the vertical component.

\(F_{h} =20\) × \(cos50\) = 12.85575219 N

Similarly,  \(F_{v} =\) 20 × \(sin50=15.32088886 N\)

Since there is no motion in the vertical direction, the sum of the vertical components is 0.

Hence, \(F_{N}\)+\(F_{P}sin =mg\) where g is the acceleration due to gravity.

\(F_{N}=mg-F_{p}sin50\)⁰

\(F_{N}=8\) × \(9.8-15.32088886\)  [In this case, g is 9.8 m/s²]

= 63.1 N

The acceleration of the sled and the normal force acting on it is

a = 1.3 m/s²; FN = 63.1 N.

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Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer:

307.72

Step-by-step explanation:

S=2nr²

S=2×3.14×7²

S=307.72

Answer:

4 pounds

Step-by-step explanation:

The ratio of pounds of dog bones to dollars is 1:1/4. Multiplying this by 4 to get to 1 dollar leaves you with 4 pounds of dog bones. Hope this helps!

The APR, or stated rate, is calculated as the annualized interest rate expressed as a percentage.

The APR, or stated rate, represents the annualized interest rate on a loan or investment, expressed as a percentage.

To calculate the APR, we need to consider the nominal interest rate and the compounding frequency. The formula to calculate the APR is:

APR = (1 + nominal interest rate/compounding periods)^(compounding periods) - 1

The nominal interest rate is the stated rate without taking compounding into account.

The compounding periods refer to the number of times interest is compounded in a year, typically based on daily, monthly, or quarterly periods.

By applying the formula and considering the appropriate compounding periods, we can determine the APR.

The APR is an important metric as it allows for easy comparison of interest rates across different financial products.

It helps consumers and investors understand the true cost or yield associated with a loan or investment and enables them to make informed decisions.

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Answer:

Step-by-step explanation:

-2x+8

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

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