Isabella ran the 100-meter dash five times. The time it took her to complete each race, in seconds, was 12.7, 12.807, 12.78, 12.08, and 12.087.
Isabella wants to order the race times from her slowest time to her fastest time. Sort the decimals in order from greatest to least.

During the 2013 Major League Baseball season, the St. Louis Cardinals averaged 41,602 fans per home game. Attendance during the season follows the normal probability distribution with a standard deviation of 9,440 per game. The task is to find the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people.

Using the formula for z-score, which is z = (X - μ) / σ, where X = attendance during the 2013 season, μ = the mean attendance during the season, and σ = the standard deviation during the season, we can solve for the probability. Substituting the given values in the formula, we get z = (50,000 - 41,602) / 9,440, which equals 0.8915.

The probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people is P(X > 50,000) = P(z > 0.8915) = 1 - P(z < 0.8915). We need to find the value of P(z < 0.8915) using a standard normal table. The value of P(z < 0.8915) is 0.8133.

Substituting the given value in the formula P(X > 50,000) = P(z > 0.8915) = 1 - P(z < 0.8915), we get P(X > 50,000) = 1 - 0.8133, which equals 0.1867. Therefore, the probability that a randomly selected game during the 2013 season had an attendance greater than 50,000 people is 0.1867.

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The sample mean is 42.8 thousand dollars. The sample standard deviation is 7.89 thousand dollars.

In order to find the sample mean, we sum up all the salaries and divide by the number of employees. Adding up the given salaries, we get a total of 568 thousand dollars.

Since there are 13 employees in the sample, the mean is 568/13 = 43.69 thousand dollars. Rounded to one decimal place, the sample mean is 42.8 thousand dollars.

To calculate the sample standard deviation, we need to determine the variation of the salaries from the mean. We subtract the mean from each salary, square the differences, sum them up, divide by the number of employees minus one (to account for the degrees of freedom), and take the square root.

After performing these calculations, we find that the sample standard deviation is approximately 7.89 thousand dollars.

(b) After giving each employee a $3000 raise, the new salaries become: 49, 34, 56, 48, 39, 39, 49, 34, 56, 38, 48, 49, 53. The sample mean of this revised data set is 45.46 thousand dollars, and the sample standard deviation is 7.61 thousand dollars.

(c) After each employee takes a $4000 pay cut, the new salaries become: 42, 27, 49, 41, 32, 32, 42, 27, 49, 31, 41, 42, 46. The sample mean of this revised data set is 38.92 thousand dollars, and the sample standard deviation is 7.89 thousand dollars.

From the results of (a), (b), and (c), we can observe the following:

The sample mean remains relatively close to the original mean in all three scenarios, indicating that the changes made to the salaries did not greatly affect the average.

The sample standard deviation remains unchanged in scenario (a) and slightly decreases in scenario (b), but it remains the same in scenario (c). This suggests that the changes in salaries did not significantly impact the overall variability of the data.

Overall, these results indicate that the original sample data had a relatively stable mean and standard deviation, and the subsequent raises and pay cuts did not drastically alter these statistical measures.

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An equation that matches the table include the following: y = x + 5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 5)/(1 - 0)

Slope (m) = 1/1

Slope (m) = 1.

At data point (0, 5) and a slope of 1/, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = 1(x - 0)

y - 5 = x

y = x + 5

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Answer:

mmmmmvmbabdjfbfjbsjbfjbsfjbf

Step-by-step explanation:

Answer:

2.1

Step-by-step explanation:

This involves trigonometry. Since we need to find the value of a, we need to find a trig equation with a as the numerator. Luckily, we have one, tan. So, tan(20) is equal to a/6, right. So, using a calculator, tan(20) is approximately equal to 0.363. This times 6 should equal a. This is approximately around 2.1. Thus our answer is 2.1

The situation that represents the expression, 3/5 divided by 1/4 is Option B

The interquartile range is described as  the range of values that resides in the middle of the scores.

It is abbreviated as (IQR)

From the information given, we have the expression in a fraction form as;

3/5 divided by 1/4

Now, we can see that the value of 3/5 is divided by 4, since

3/5 ÷ 1/4

Take the inverse of the divisor, we get;

3/5 × 4/1

Multiply the values, we have;

12/5

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Answer:

\(Distance = Speed \times Time\)

Step-by-step explanation:

Further -Explanation

\(Speed = 55 miles\\Time = 4 hours\\Distance = 55 \times 4\\Distance = 220miles/hour\)

Answer:

there are 8 pieces total

Answer:

Step-by-step explanation:

I used to do these as a kid! theyre pretty fun :)

for the first one:

the sum has to be 9. (as we can see from the first row).

the middle box in the last row will be -1. (since two boxes fill to be 10, you subtract 1 to get to 9)

and so on. it solves itself. use similar tactics for all others.

1:

0 7 2

5 3 1

4 -1 6

2:

1 2 6

8 3 -2

0 4 5

3:

3 -2 5

4 2 0

-1 6 1

Answer:

5

Step-by-step explanation:

Since 1 and 3 on the number line are two tick marks apart from eachother that means the scale of the number line is each tick mark is equal to 1. Therefore, 2 tick marks above 3 will be 3 + 2 which is 5.

Hope this helps :)

Answer:

-8%

Step-by-step explanation:

Given : The humidity dropped an average of  each hour over the last six hours.

which can be written as  

Then , the total change in humidity in 6 hours will be:-

Hence, the total change in humidity = -8%

Answer:

√(4.93 × 17.1) is about √(5 × 20) = √100 = 10. 0.209 is about 0.2, or 1/5.

So we have 10/0.2 = 100/2 = 50.

Answer:

The direct answer is 745

Step-by-step explanation:

773 minus 28

✨745✨

There might be some non-linear pattern or other factors that the linear regression model fails to capture.

When a student fits a linear regression model for a class assignment, it is common practice to analyze the residuals to assess the model's performance. Residuals represent the differences between the observed values (yi) and the predicted values (yi head) obtained from the regression model.

In this case, the student plotted the residuals against the observed values (yi) and observed a positive relationship. This positive relationship indicates that the model tends to underestimate the values for some data points and overestimate them for others. In other words, the model's predictions tend to be consistently lower or higher than the actual observed values.

However, when the student plotted the residuals against the fitted values (yi head), they found no relationship. This means that the residuals are not systematically related to the predicted values. In other words, the model's performance is not influenced by the magnitude or direction of the predicted values.

This situation suggests that the linear regression model may not adequately capture the underlying relationship between the predictors and the response variable. It is possible that a linear model is not the best fit for the data, and a more complex model or a different regression approach may be required.

Alternatively, there might be some non-linear pattern or other factors that the linear regression model fails to capture. It would be advisable for the student to investigate further, possibly by exploring different model specifications, checking for influential data points, or considering additional predictors or transformations of the variables to improve the model's performance.

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Answer:

1420

Step-by-step explanation:

its in the question

The given graph shows a negative relationship becoming less steep. The option B, a negative relationship becoming less steep, is correct.

A negative relationship between two variables exists when one variable increases, and the other variable decreases. A negative relationship can be defined as an inverse relationship. It implies that two variables are inversely proportional. It means that the two variables have a relationship that is negative, or in the opposite direction. A negative relationship is often shown on a graph as a downward slope or curve

The steepness of a line or curve is a term used to describe how steep or gradual it is. Steepness is defined as the ratio of the change in y over the change in x, or Δy/Δx. The slope of a line is the same thing as its steepness. A steeper line or curve has a larger slope or a greater degree of change per unit of change. Therefore, in a negative relationship, a steeper slope represents a greater degree of change per unit of change. In the given graph, the slope of the curve decreases as x increases. Therefore, it can be concluded that the given graph shows a negative relationship becoming less steep.

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Answer:

Option B

Step-by-step explanation:

Given the following question:

\(5^2\times5^4\)

In order to find the answer, we simply apply the exponent rule and add the exponents.

\(5^2\times5^4\)
\(2+4=6\)
\(=5^6\)

The answer is option B or "5^6."

Hope this helps.

The radius AO of the circle is approximately 1.414 units when rounded to one decimal place.

To find the radius AO of the circle, we can use the properties of a regular polygon inscribed in a circle.

In a regular polygon, all sides and angles are equal. Let's consider one of the isosceles triangles formed by the center of the circle O, one of the vertices A, and the midpoint of one of the sides.

The triangle OAM is a right triangle with OA as the hypotenuse and AM as the adjacent side. The measure of angle OAM is half the central angle of the regular polygon, which is 360 degrees divided by the number of sides.

In this case, since the polygon is not specified, we cannot determine the exact central angle. However, we are given that the length of the side of the polygon is 8 units.

Using trigonometry, we can express the adjacent side AM in terms of the central angle (θ) and the radius (OA) as AM = OA × cos(θ).

Since AM is half the length of the side, we have AM = 4 units.

Substituting these values into the equation, we get 4 = OA × cos(θ).

Now, we can solve for the radius AO. Rearranging the equation, we have OA = 4 / cos(θ).

Using a calculator, we can calculate the value of cos(θ) by dividing the length of the side by 2 times the radius, which gives us 4 / (2 × OA).

Simplifying this expression, we have 2OA = 4 / (2 × OA).

Multiplying both sides by 2OA, we get 2OA^2 = 4.

Dividing both sides by 2, we have OA^2 = 2.

Taking the square root of both sides, we find OA = √2.

Using a calculator, we can evaluate this to be approximately 1.414.

Therefore, the radius AO of the circle is approximately 1.414 units when rounded to one decimal place.

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Answer:

QRU and VUR

Step-by-step explanation:

Alternative interior angles are angles that have the same degrees, but different locations. In this case, you can see QRU has the same degree of angle as VUR; They are only in different locations.

- Hope that helps! Please let me know if you need further explanation.

Answer:

QRU and VUR

Step-by-step explanation:

Hope this helps!

The given problem is about finding the linear speed of a vehicle when each of its tire has a diameter of 32 inches and is moving at 800 revolutions per minute. In order to solve this problem, we will use the formula `linear speed = (pi) (diameter) (revolutions per minute) / (1 mile per minute)`.

Since the diameter of each tire is 32 inches, the radius of each tire can be calculated by dividing 32 by 2 which is equal to 16 inches. To convert the units of revolutions per minute and inches to miles and hours, we will use the following conversion factors: 1 mile = 63,360 inches and 1 hour = 60 minutes.

Now we can substitute the given values in the formula, which gives us:

linear speed = (pi) (32 inches) (800 revolutions per minute) / (1 mile per 63360 inches) x (60 minutes per hour)

Simplifying the above expression, we get:

linear speed = 107200 pi / 63360

After evaluating this expression, we get the linear speed of the vehicle as 5.36 miles per hour. Rounding this answer to the nearest tenth gives us the required linear speed of the vehicle which is 5.4 miles per hour.

Therefore, the linear speed of the vehicle is 5.4 miles per hour.

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Answer:

67

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

x + 55 = 90 (Right angle triangle)

x = 90 - 55

x = 35

Please mark as brainliest.

Answer: left by 4 units and down 4 units

Step-by-step explanation: up and right is positive and left and down are negative

The solution set of the inequality " x/4 < (5x-2)/3 - (7x-3)/ 5 is C: (4, infinity).

x/4 < (5x-2)/3 - (7x-3)/ 5

taking the LCM of the right-hand side of the given inequality which is 15.

Now multiply 15 by both sides of the inequality

15 . x/4 < [ 15 . (5x-2)/3 ] - [ 15. (7x-3)/ 5 ]

15. x/4 <  [ 5 . (5x -2) ] - [ 3 . (7x -3) ]

15. x /4 < ( 25x - 10 )  -  ( 21x - 9 )

15. x/4 < 25x - 10  -  21x + 9

15. x/4 < 4x -  1

Now multiply boh sides with 4

4 (15 .  x/4) < 4. (4x - 1)

15 . x < 16x - 4

15x <  16x - 4

4 < - 15x  + 16x

4 < x

x  > 4

Hence, all real numbers x that are greater than 4 are the solution of the given inequality.

Therefore, the solution set of the given inequality is  (4, infinity).

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Answer:

4 bestie <3

Step-by-step explanation:

Answer:

Step-by-step explanation:

4

Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.

Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.

Error control: The identification and correction of errors that occur during the transmission of data is called error control.

Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.

Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.

Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.

All these tasks can be duplicated at different layers.

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Answer:

I] 135+45=180

therefore supplementary angles

ii] 55+35=90

complementary angles

iii]55+45=100

neither

iv] 77+13=90

complementary angles

The margin of error for the 95% confidence level is approximately $873.15.

To calculate the error bars for the 95% confidence level, we need to find the critical value of the z-score from the standard normal distribution table.

Accepting a 95% certainty level, the importance level (α) is 0.05, which implies the certainty level is 1-α = 0.95.

On the off chance that we see the z-score at the 95% certainty level on the standard typical conveyance table, we get an esteem of 1.96.

 Then you can use the formula for Tolerance (E).

error bar (E) = z * (standard deviation / sqrt(n))

where:

z = critical value in the standard normal distribution table

standard deviation = $3,000

n=40

Substitute the obtained value.

Error Bar (E) = 1.96 * ($3,000 / sqrt(40))

≈ $873.15

Therefore, the margin of error for the 95% confidence level is approximately $873.15.

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Answer: Diego's mistake is that he multiplied the exponents, instead of adding. The answer should be 2^3+^2= 2^5

Answer:

%556

Step-by-step explanation:

278 times 2 cuz its 50 percent off

Answer:

$556

Step-by-step explanation:

There was a 50% sale, so the original price has to be double the sale price.

$278 x 2 = 556

So, the original price is $556