the best measure of central location for a numerical data set when the data set contains outliers is the

Answer:

8(6-4n) = -27-7n

8×6 8× -4n

48 -32n = -27-7n

Collect like terms

48+27 = -7n+32n

75 = 25

Divide both sides by 25

75/25 = 25/25

The smallest representable positive number is 2149, or roughly 1.4*10-45.

Lets take a  32-bit floating point integer (IEEE 754) with the following bits,

0-22 for the mantissa (23 bits), 23-30 for the exponent ( 8 bits), and 31 for the sign (1bit)

The decimal counterpart of this expression would be if we put all zeros in the mantissa and all ones in the exponent.

The way of representing huge numbers in terms of powers is known as an exponent.

Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.

The exponent is represented by the symbol  ^ . This symbol is known as a carrot . As an illustration, 4 raised to 2 can be expressed as 4^2 .

To learn more about exponents

brainly.com/question/5497425

#SPJ4

Answer:

C

Step-by-step explanation:

Answer:

C: Yes, the terms can be regrouped and still be equivalent.

Step-by-step explanation:

Most terms can be regrouped and still be equivalent.

Answer:

the answer is -119

But, I don't know it as a fraction

Answer:

-20/3

Step-by-step explanation:

4 + (−1 2/3)

= 4 + (-5/3)

= -4/1 × 5/3

= -20/3

Answer:

0*2=0

4*5=20+3+1+0

Step-by-step explanation:

Answer:

Well If is just putting numbers then number 2 and 4.

But it like addition, multiplication then....

4x5 = 20

20 + 2 + 3 = 25

25 -1 = 24

24 - 0 = 24

Answer:

4

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

x          

 (— -  6) -  2  = 0

  4          

6     6 • 4

   6 =  —  =  —————

        1       4

x - (6 • 4)     x - 24

———————————  =  ——————

     4            4

 (x - 24)    

 ———————— -  2  = 0

    4        

        2     2 • 4

   2 =  —  =  —————

        1       4

(x-24) - (2 • 4)     x - 32

————————————————  =  ——————

       4               4

 x - 32

 ——————  = 0

   4  

x-32

 ———— • 4 = 0 • 4

  4  

x-32

Yes, the spokesman's claim that 70% of all U.S. adults drink cereal milk is true.

This can be tested using a hypothesis test, where the null hypothesis is that the proportion of people who drink cereal milk is equal to 70%, and the alternative hypothesis is that the proportion of people who drink cereal milk is not equal to 70%.

We then calculate the test statistic, which is the z-score of the sample proportion, ^. If the z-score is greater than the critical value (1.96 for a 95% confidence level), then we reject the null hypothesis and conclude that the proportion of people who drink cereal milk is not equal to 70%.

In this case, since the sample proportion is close to 70%, the z-score is very small, and the null hypothesis is accepted. Therefore, the spokesman's claim is true.

For more questions like Hypothesis click the link below:

https://brainly.com/question/29519577

#SPJ4

a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

To learn more about  area Click Here:  brainly.com/question/22469440

#SPJ11

Super Gym employees sold 8,823 gym memberships this year, 70% more than the 5,190 gym memberships last year.

In mathematics, a percentage, usually denoted by %, is a number or ratio that represents a fraction of 100.

If the problem states that the gym's employees sold 70% (70 percent) more memberships than last year, and it's employees sold 5,190 gym memberships last year, then

memberships this year = 70% more than last year

memberships this year = 70%(5,190) + 5,190

memberships this year = 3,633 + 5,190

memberships this year = 8,823

Hence, the gym's employees sold 8,823 memberships this year.

Learn more about percentage here: https://brainly.com/question/24877689

#SPJ4

Answer:

W = 6t + 90

Step-by-step explanation:

Given :

Starting weight = intercept = 90 kg

Weight gained after 8 months = 138 kg

Using the slope intercept relation ;

We can obtain the rate of change, slope ;

y = mt + c

m = slope ; t = time after t months ; c = intercept

y = weight gained after 8 months

138 = 8m + 90

138 - 90 = 8m

48 = 8m

m = 48 / 8

m = 6

Hence, slope intercept equation equals :

W = 6t + 90

Regression analysis is a statistical method used to investigate the relationship between a dependent variable (y) and one or more independent variables (x). B. The first equation is for sample data, the second equation is for a population.

The two regression equations mentioned in the question are:y = b0 + b1x and y = β0 + β1xThe difference between these two equations is explained below:A. The first equation is for sample data, and the second equation is for a population.The difference between the two equations is that the first equation (y = b0 + b1x) is for sample data, whereas the second equation (y = β0 + β1x) is for a population. When the regression analysis is performed on a sample of data, we use b0 and b1 as the estimates of the population parameters β0 and β1. These estimates are obtained using the sample data. Therefore, the first equation is an estimate of the true population regression equation. B. The first equation is for sample data, and the second equation is for a population.

As previously stated, the first equation is for sample data, while the second equation is for a population. It is essential to understand the difference between these two because the sample regression equation (y = b0 + b1x) can be used to make predictions about the population. However, it is necessary to use the population regression equation (y = β0 + β1x) to draw inferences about the population as a whole. Therefore, the second equation is used for hypothesis testing, while the first equation is used for prediction purposes. In conclusion, the two equations have the same structure, but they are different in terms of the population or sample data that they represent.

To learn more about regression equations, refer:-

https://brainly.com/question/32162660

#SPJ11

Answer:

52 Chairs

Step-by-step explanation:

Red Chairs = 6

Yellow Chairs = 4 x red chairs

Blue Chairs = yellow chairs - 2

Yellow Chairs = 4 x 6 = 24 chairs

Blue Chairs = 24 - 2 = 22 chairs

Total # of chairs = 6 + 24 + 22 = 52 chairs

-Chetan K

Answer:

It’s c. -37 and -3

Step-by-step explanation:

Answer:

X=3.5

Step-by-step explanation:

9=x2+2

9-2=x2

(9-2)÷2=x

The answer is 11 luv!  hope this helped you out!!

Answer:

-7

Step-by-step explanation:

|2(-3)| = |-6| = 6

|-3| = 3

(3 - 4 * 6) / 3 = -21 / 3 = -7

Answer:

2.375 inches

Step-by-step explanation:

for every 2 feet, that is equivalent to 0.5 inches in the drawing. so count how many 2 feet in 9.5 feet first. there are 4.75.

mutiply 4.75 now by 0.5

that is 2.375 in inches

Answer:

$10.54

Step-by-step explanation:

42.24 divided by 4

Answer:

1. m=4/9

2.m=-26/7

3.m=0

Step-by-step explanation:

Formula: Y=mx+b

1.y = 4 /9 x − 25 /9

2.y = − 26 /7 x + 452 /7

3.y=17

✨Hope this helps!✨

Answer:

  at least 5

Step-by-step explanation:

You want to know the number of cups needed to contain 7/8 pitcher of water when each cup holds 3/16 pitcher.

The number of cups can be found by dividing the water quantity by the amount each cup holds:

  (7/8 pitcher)/(3/16 pitcher/cup) = 14/3 cups = 4 2/3 cups

Eve needs at least 5 cups to hold the amount of water in the bottle.

__

Additional comment

If every cup is filled to capacity, then the 5th cup will be 2/3 full. The number of cups can be any number greater than or equal to 5.

If you want, you can write an inequality relating the capacity of the cups to the amount of water:

  n(3/16) ≥ 7/8

  n ≥ 4 2/3 . . . . . . . . . where n is a counting number

  n ∈ {5, 6, 7, ...}

This more clearly shows that the number is not restricted to 5.

The existence/uniqueness theorem guarantees that there are solutions to the differential equation dy/dt=√(y²−4) through the points (0,-2), (-8,6), and (-5,2).

Given the differential equations dy/dt=√(y²−4).

We have to find whether the existence/uniqueness theorem guarantees that there is a solution to this equation through the given points.1. (0,-2)

Using dy/dt=√(y²−4),

By integrating both sides of the equation, we get:

`∫dy/√(y²−4)=∫dt

`Let `y=2sec θ`

.Then `dy/dθ=2sec θ tan θ

=d/dθ(2sec θ)

=2sec θ tan θ`, and

`dy=2sec θ tan θ dθ`.

Substituting these values in the equation, we get:

`∫dy/√(y²−4)=∫dt`

= `∫2sec θ tan θ/2sec θ tan θ dθ

=∫dθ=θ + C`

Now, `θ=cos⁻¹(y/2) + C`.

As `y=2 when θ=0`, we have `θ=cos⁻¹(y/2)`.

So, `cos θ=y/2` and `sec θ=2/y`.

Therefore, `y=2sec θ=2/cos θ=2/cos(cos⁻¹(y/2))=2/(y/2)=4/y`.

Differentiating with respect to t, we get `dy/dt=(-4/y²) dy/dt`.

Therefore, `dy/dt=(-4/y²)√(y²−4)`

From the equation `dy/dt=√(y²−4)`, we get `-4/y²=1`.

Therefore, `y=±2√5`.So, there are two solutions, i.e., y=2√5 and y=-2√5 through the point (0,-2).

2. (-2,10) We can use the same method as in the above example for finding the solution through the point (-2,10). But, the resulting solution will be complex. Hence, there is no solution through the point (-2,10).

3. (-8,6) We can use the same method as in the first example for finding the solution through the point (-8,6).We have `y=±4√5`.Therefore, there are two solutions, i.e., y=4√5 and y=-4√5 through the point (-8,6).

4. (-5,2)We can use the same method as in the first example for finding the solution through the point (-5,2).We have `y=±2√5`.Therefore, there are two solutions, i.e., y=2√5 and y=-2√5 through the point (-5,2).

Hence, the existence/uniqueness theorem guarantees that there are solutions to the differential equation dy/dt =√(y²−4) through the points (0,-2), (-8,6), and (-5,2).

To know more about differential equation visit:

https://brainly.com/question/32645495

#SPJ11

Answer:

15.70

Step-by-step explanation:

\(5 \times 3.14 = 15.70\)

Answer:

\(15.71ft\)

Step-by-step explanation:

C=2πr

d=2r

Solving for C

\(c = \pi \: d \: = \pi \: \: .5 \: = 15.70796\)

Hope it helps you ..

Answer:

If we are solving for x the answer would be

-1.5,-4 (fraction form is -3/2, -4)

Step-by-step explanation:

The answer to this question is c.The use of a correlation coefficient.

The use of a correlation coefficient would tell you that an association claim is being made in a research study. A correlation coefficient is a statistical measure that shows the strength and direction of a relationship between two variables. It ranges from -1 to 1, with 0 indicating no relationship and -1 or 1 indicating a perfect negative or positive relationship, respectively.

A scatterplot or bar graph may be used to visually display the relationship between two variables, but they do not necessarily indicate that an association claim is being made. The measurement of two variables is necessary for any type of research study, but it does not inherently imply that an association claim is being made.

Interrogation of internal validity is a process used to ensure that the study's results accurately reflect the relationship between the variables being studied. It is important for any research study but does not specifically indicate that an association claim is being made.

Therefore,the answer to this question is c.The use of a correlation coefficient.

Know more about correlation coefficient here,

https://brainly.com/question/29704223

#SPJ11

The choice of whether to report the median or mean as a measure of central tendency depends on the shape of the data distribution and the purpose of the analysis.

a) Whether the median or mean would be larger depends on the shape of the distribution of the data. The median is the value that separates the lower half of the data from the upper half, and is a robust measure of central tendency, meaning that it is not greatly affected by outliers or extreme values. On the other hand, the mean is the sum of the data values divided by the number of values, and can be influenced by outliers or extreme values.

In the case of the life expectancies data, if the distribution is roughly symmetrical, with most of the values clustered around the center and relatively few outliers or extreme values, then the mean and median would likely be similar in value. However, if the distribution is skewed to one side, with many values concentrated on one end and relatively few values on the other end, then the mean would likely be larger than the median.

b) The best measure to report depends on the context and the purpose of the analysis. In general, the median is a more appropriate measure of central tendency for skewed distributions, since it is not greatly affected by outliers or extreme values. On the other hand, the mean is more appropriate for symmetrical distributions, since it provides a more accurate representation of the typical value of the data.

In the case of the life expectancies data, it may be useful to report both the median and the mean in order to provide a full picture of the central tendency of the data. However, if there are outliers or extreme values that could significantly affect the mean, it would be more appropriate to report the median as the primary measure of central tendency.

To learn more about central tendency please click on below link.

https://brainly.com/question/12896875

#SPJ4

Answer:

The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

A simple random sample of 49 8th graders at a large suburban middle school indicated that 84% of them are involved with some type of after school activity.

This means that \(n = 49, \pi = 0.84\)

98% confidence level

So \(\alpha = 0.02\), z is the value of Z that has a p-value of \(1 - \frac{0.02}{2} = 0.99\), so \(Z = 2.327\).  

Margin of error:

\(M = 2.327\sqrt{\frac{0.84*0.16}{49}} = 0.1219\)

The margin of error associated with a 98% confidence interval that estimates the proportion of them that are involved in an after school activity is of 0.1219.

Answer:

36°

Step-by-step explanation:

2x+3x=90

5x=90

x=18

plug in 18

2(18)=36

3(18)=54

The difference between the largest 5-digit number and the smallest 6-digit number is 1.

The aim is to find the largest 5-digit and the smallest 6-digit numbers, and then we need to identify the difference between these two values.

Let's start by finding the smallest 6-digit number.

We know that 0 is the smallest digit that can not be used in the highest place value, so we will consider the next smallest digit; that is, 1 and 1 can be used in the highest place value.

Thus, we can create the required 6-digit smallest number with 0 and 1.

Hence, the smallest 6-digit number is 100000.

Now, we will discover the largest 5-digit number.

As we know, the largest digit is 9, which can be used anywhere. So, we will form the largest 5-digit number with the digit 9.

Thus, the largest 5-digit number is 99999.

Next, we need to find the difference between these two values.

So, we can determine the difference between the smallest 6-digit number and the largest 5-digit number by subtracting the smallest from the largest.

Thus, we get,

⇒100000 - 999999

⇒1

Hence, 1 is the difference between the smallest 6-digit and the largest 5-digit numbers.

To know more about place value, here

brainly.com/question/843056

#SPJ4

The best line fit go through to represent the data is (3,8) and (5,12)

The correct option is Option c)

What is best fit line?

A straight line that minimises the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

We are given some points we will plot the graph on the points

From that if we plot the line through the point (3,8) and (5,12)

That will leave 2 points above the line and 2 point below the line

Hence it is the best fit line

The correct option is option C)

To learn more about best fit line please refer the following link

https://brainly.com/question/17013321

#SPJ1