Which statement correctly compares the spreads of the distributions?
Team A's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
Team B's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
O A. The interquartile range (IQR) of team A's scores is greater than the
IQR of team B's scores.
O B. The range of team A's scores is greater than the range of team B's
scores
O C. The interquartile range (IQR) of team B's scores is greater than the
IQR of team A's scores.
D. The interquartile ranges (IQRs) are the same

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

Mark me brainliest!

Answer:

90

Step-by-step explanation:

Answer: So you need to find the area of the big circle and the little circle, if you add the diamaters they add up to 16 so we do pi*r^2 if the diameter is 16 we need the radius so we divide by 2, so we do pi*8^2, pi*64, 200.96 if we use 3.14, then we find the area of the little circle which is pi*r^2 which since the diameter is 8 we divide by 2 and get 4 so it is pi*4^2 which gets us pi*8 using 3.14 it is 25.12, now if we subtract 200.96-25.12 we get 175.84   mm

Answer:

Where is the image or work so I can help you?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3.19 become 3.20 . 1.69 becomes 1.70. Then 3.20 plus 1.70 is 4.90 or 4.9.

Answer:

D. 4.9

3.19 -> 3.2

1.69 -> 1.7

3.2 + 1.7 = 4.9

Step-by-step explanation:

4v+6=2(2y+3)

4v+6=4y+6

-4. -4

6=6

Qwen saved $70 last month.saving a portion of her earnings is a prudent financial habit that allows her to build a safety net, invest for the future, or work towards specific financial goals.

qwen earned $350 last month and saved 20% of her earnings. to calculate the amount she saved, we can multiply her earnings by the savings rate. in this case, her savings rate is 20% or 0.2.

so, the amount she saved can be calculated as:$350 * 0.2 = $70 savings are an essential part of personal finance as they provide a financial cushion in case of emergencies and help individuals achieve long-term financial stability. by saving consistently over time, qwen can accumulate funds that can be used for various purposes, such as buying a house, starting a business, or planning for retirement.

it's important for individuals to evaluate their expenses and income regularly to determine how much they can comfortably save. additionally, having a budget and tracking expenses can provide a clearer picture of where money is being spent and identify potential areas for savings. by practicing mindful spending and saving habits, individuals can work towards their financial goals and improve their overall financial well-being.

Learn more about financial  here:

 https://brainly.com/question/17140752

#SPJ11

Answer:  x=25.9

Step-by-step explanation:

Tan = opp / adj

Tan 67 ° = x / 11

11 Tan (67 °)= x

x = 25.914

  = 25.9 ( 3 significant figures)

Solution:

The given information would be illustrated with the image below as;

We would apply the tangent ratio. Let x be the distance between the base of cliff and the ship. We have;

Then, we have;

FINAL ANSWER:

The mean of a distribution is the average of all the values in the data set. Since the mean is the center of the distribution, any data point that is exactly the same as the mean will have a standard score of 0.

The mean of a distribution is the average of all the values in the data set. It is the central point in the data set, and any data point that is exactly the same as the mean will have a standard score of 0. The standard score is the number of standard deviations that a given data point is away from the mean. Since the mean is the center of the distribution, it is always 0 standard deviations away from itself and thus has a standard score of 0.

Learn more about Distribution: https://brainly.com/question/27701525

#SPJ4

Answer:

2142

Step-by-step explanation:

Answer:

The answer is B) $1,213

Step-by-step explanation:

Just subtract $3578 and $2365 to get the amount of refund due, which would be your answer of $1,213.

The statement is false. A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart.

An \( \bar{X} \) chart is NOT used to track a process with binary outcome variables. The statement is false.

Explanation: A process chart is a graphical tool used to monitor processes in production and service industries. The average process performance and the upper and lower limits are calculated and displayed on an X-bar chart, which is a common process chart. The values for a variable can be collected and analyzed using process charts. An \( \bar{X} \) chart, commonly known as an x-bar chart, is used to monitor a process with continuous numerical data. A binary outcome variable, on the other hand, has only two possible outcomes (e.g., yes/no, pass/fail, etc.). As a result, binary data is unsuitable for an \( \bar{X} \) chart, which is only used to monitor continuous numerical data.

Variables are values that may be altered in a process, which can affect its results. Variables may be categorized as continuous or discrete, depending on whether they can be measured or counted. Discrete variables, such as the number of employees working on a task or the number of items produced in a process, are quantifiable and can be measured precisely. Continuous variables, such as the temperature, length, or weight, can take on any value over a range and are therefore less specific. The reasons for holding inventory include serving as a buffer against uncertainties, ensuring product availability and preventing stockouts, reducing lead times and transportation costs, taking advantage of discounts and bulk purchasing opportunities, and providing a hedge against inflation and price fluctuations.

To know more about X-bar chart visit: https://brainly.com/question/31861365

#SPJ11

Answer:

take a break kid you must enjoy life :(

Step-by-step explanation:

Answer:

Jim will be paid $150 or 30% to his account.

Answer:

3

Step-by-step explanation:

Add all the costs of the fruit.

5.75

Then divide it by 20.

= 3.4782.....

You can't have a quarter or half and apple so you round down.

Son answer is 3.

Hope this has helped!

Answer:

hope it helps you..,.....,..........

Answer:

y = 2x – 1

Step-by-step explanation:

When x=0, y = -1

When y=0, x = 0.5

A sample size of at the least 103 batteries should be randomly decided on and examined from the manufacturing run to make sure that the hypothesis test has a level of significance of 0.02 and that the possibility of erroneously accepting a batch with an average use life of much less than 400 hours isn't any more than 10%.

To determine the specified sample size for the hypothesis test, we want to apply the formulation for the sample size required for checking out a population mean, given by:

\(n = (zα/2 * σ / E)^2\)

in which:

In this example, the margin of error E may be calculated with the aid of subtracting the required minimum mean use life of 400 hours from the actual mean use existence of 384 hours, and taking the absolute value  

E = |384 - 400| = 16

The critical value zα/2 may be determined the usage of a standard normal distribution table or calculator, with a level of significance of 0.02:

zα/2 = 2.33

Substituting those values into the sample size method, we get:

\(n = (2.33 * 35 / 16)^2 = 72.43\)

Rounding up to the closest whole range, we get a recommended sample size of 73.

But, the production manager additionally needs a sampling procedure that only 10% of the time might show erroneously that the batch is suitable.

This requirement corresponds to the possibility of type I errors, or α, that's identical to 0.10. To make certain that the probability of kind I error is no more than 0.02, we need to modify the extent of significance and the critical price consequently:

zα/2 = 2.58 (from standard ordinary distribution table with α = 0.02)

Substituting this elements into the sample size formulation, we get:

\(n = (2.58 * 35 / 16)^2 = 102.07\)

Rounding as much as the closest entire number, we get a encouraged sample length of 103.

Thus, 103 sample size is recommended for the hypothesis test.

Learn more about Hypothesis test:-

https://brainly.com/question/15980493

#SPJ4

This does not make sense as x is a discrete variable, so it cannot take on a value of 3.5.

A binomial variable is a discrete variable, meaning it can only take on certain values. In this case, x can take on values from 0 to 10 (inclusive). Since 3.5 is not one of these values, it does not make sense to calculate the probability that x equals 3.5.

This does not make sense as x is a discrete variable, so it cannot take on a value of 3.5.

A binomial variable is a discrete variable, meaning it can only take on certain values that are determined by the given parameters. For example, if the binomial variable x is defined as the number of heads in 10 flips of a coin, then x can only take on values from 0 to 10 (inclusive). Since 3.5 is not one of these values, it does not make sense to calculate the probability that x equals 3.5.

Learn more about variable here

https://brainly.com/question/29430246

#SPJ4

Answer:

x= ~8.69

solve with law of sine:

law of sine essentially states that

(side length)/(sine of opposite angle) are in the same ratio as another (side length)/ (sine of its opposite angle)

right angles =90 degrees

line QS is opposite to angle R

so

QS/ (sin 90)

9/ (sin 90)

line RS is opposite to angle Q

measure of angle Q= 75 degrees

RS/ (sin 75)

x/ sin (75)                 RS is x

and these ratios are equal according to law of sine

9/ (sin 90)= x/ sin (75)  

sin 90=1

sin 75 = approx ~0.9659

       4th decimal place for accuracy, will round more later

9/ (sin 90)= x/ sin (75)  

9/ 1= x/ 0.9659

9= x/ 0.9659

x=8.6931

round to nearest tenth

8.6931

~8.69

hope this helps !!

Answer: 10.7 years.

Step-by-step explanation:

7,300 * (1 + 0.015)^x = 8,560 <=>

7,300 * 1.015^x = 8,560 <=>

1.015^x = 8,560 / 7,300 <=>

1.015^x = 1.1726 <=>

x = 10.694

To the nearest tenth:

x = 10.7 years

Answer: 1/6

Step-by-step explanation:

2/6 - 1/6 = 1/6

Rosie, this is the solution to the system of equations:

___________________________________________

2x - 3y = 6

2x - 6y = 9

___________

Step 1: Let's multiply by -1 the second equation, therefore we have:

2x - 3y = 6

-2x + 6y = -9

___________

Step 2: We eliminate x and solve for y, as follows:

-3y + 6y = 6 - 9

3y = -3

Dividing by 3 at both sides:

3y/3 = -3/3

y = -1

_______________________

Step 3: We substitute y and solve for x in the first equation, this way:

2x - 3 (-1) = 6

2x + 3 = 6

Subtracting 3 at both sides:

2x + 3 - 3 = 6 - 3

2x = 3

Dividing by 2 at both sides:

2x/2 = 3/2

x = 3/2

_________________________

Step 4: Now, let's prove x = 3/2 and y = -1 are right, replacing in the second equation, as follows:

2x - 6y = 9

2 (3/2) - 6 (-1) = 9

3 + 6 = 9

9 = 9

We proved that x = 3/2 and y = -1 are correct.

The linear equation that is represented by the given table is:

y = -3*x + 4

The relation on the table seems to be a linear equation.

Remember that a linear equation is written in general form as:

y = a*x + b

Where a is the slope and b is the y-intercept.

On the table we can see the point (0, 4), which means that the y-intercept (the value of y when x = 0) is b= 4, then we can replace that in the general linear equation above to get:

y = a*x + 4

To find the value of a, we can use one of the other pairs on the table, for example if we use (1, 1), then we will get.

1 = a*1 +  4

1 = a + 4

1 - 4 = a

-3 = a

Then we conclude that the linear equation represented in the table is:

y = -3x + 4

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

(a) The series Σn! as n approaches infinity is divergent.

(b) The series Σn^2e^(na)/2P-n^3 as n approaches infinity is convergent.

(a) The series Σn! grows very quickly, much faster than the geometric series or any other p-series, and does not approach a finite limit as n approaches infinity. Therefore, the series is divergent.

(b) To determine the convergence of Σn^2e^(na)/2P-n^3, we can use the ratio test. The limit of the ratio of consecutive terms approaches zero as n approaches infinity, which means that the series converges absolutely. This can also be seen by comparing the series to the convergent geometric series Σ(1/2)^n.

The series Σ7n/(n-2) is divergent because the limit of the ratio of consecutive terms approaches 7 as n approaches infinity. The series Σsin(n) oscillates between -1 and 1 and does not approach a finite limit, so it is also divergent.

For more questions like Ratio click the link below:

https://brainly.com/question/13419413

#SPJ11

There are 22 girls and 32 boys in the class.

Given that,  there are 54 people in a class

and the ratio of girls to total people is \(2:5\)

Number of girls in the class is,

                                \(=\frac{2}{5}*54=21.6\)

In class, there are 22 girls.

Number of boys is, \(54-22=32\)

Learn more about the ratio and proportion here:

https://brainly.com/question/19994681

Answer:

Step-by-step explanation:

Errrr....this is kind of big brain for me. also i'm new here. hope somebody else can answer you.

Answer:

the sales tax is 10%

Step-by-step explanation:

710 plus 10% is 781

The standard deviation of the salary for firefighters in Finland is approximately $319.80.

To determine the standard deviation of the salary for firefighters in Finland, we can use the given information about the z-score and mean salary. The z-score is a measure of how many standard deviations an individual's salary is from the mean.

The formula to calculate the z-score is:

z = (x - μ) / σ

Where:

- z is the z-score

- x is the individual's salary

- μ is the mean salary

- σ is the standard deviation

In this case, we are given that the firefighter's salary is $2,291.90 and has a z-score of 0.50 relative to other firefighters in Finland. The mean salary of firefighters in Finland is $2,132.

Using the formula, we can rearrange it to solve for the standard deviation:

σ = (x - μ) / z

Substituting the given values:

σ = ($2,291.90 - $2,132) / 0.50

Calculating this expression:

σ = $159.90 / 0.50

σ ≈ $319.80

To know more about standard deviation refer here:

https://brainly.com/question/29115611#

#SPJ11

The exact value of all six trigonometric functions from the given below point (-4,5) on the terminal side of an angle θ in standard position are as follow:

sinθ = (-4/√41) ,   cosecθ = ( -√41/4)

cosθ =(5/√41) ,    secθ = ( √41 /5)

tanθ =(-4/5) ,        cotθ = ( -5/4)

As given in the question,

Given point ( x, y) = (-4,5)  which is below on the terminal side of an angle θ in standard form.

Coordinate y represents the perpendicular side

Coordinate x represents the base

Using Pythagoras theorem ,

Let 'r' represents the hypotenuse .

r = √x² + y²

 = √(-4)² + 5²

 = √16 + 25

 = √41

Exact value of all the trigonometric functions are as follow:

sinθ = (x/r)

        = (-4 /√41)

cosθ = ( y /r)

       = ( 5/ √41 )

tanθ = ( x/y)

       = ( -4 /5)

cosecθ = ( r / x)

            = ( -√41 /4)

secθ = ( r/y)

        = ( √41/ 5)

cotθ = ( y/x)

        =( -5/4)

Therefore, the exact value of all six trigonometric functions from the given below point (-4,5) on the terminal side of an angle θ in standard position are as follow:

sinθ = (-4/√41) ,   cosecθ = ( -√41/4)

cosθ =(5/√41) ,    secθ = ( √41 /5)

tanθ =(-4/5) ,        cotθ = ( -5/4)

Learn more about trigonometric functions here

brainly.com/question/14746686

#SPJ4

Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30