Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are

represented by the dot plots.

Brand A

0

1

2

3

4

5

6

7

8

9

10

11

12

BrandB

0

1

2

3

4

5

6

7

8

9

10

11

The mean absolute deviation for brand Als

The mean absolute deviation for brand B is

The mean absolute deviations for the two brands

Answers

Answer 1

The following conclusion is reached concerning the results represented by the dot plots:

The Mean Absolute Deviation for brand A is: 2.02

The Mean Absolute Deviation for brand A is: 1.905

The Mean Absolute Deviation for the two brands is similar.

The mean absolute deviation is a test of the variability of a data set which is the average distance between each of the data points in the data set and the mean.

Mean Absolute Deviation for Brand A:

The points are, 1,1,2,2,2,3,4,4,5,5,5,5,6,6,7,7,8,8,8,9

Mean = (1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 6 + 7 + 7 + 8 + 8 + 8 + 9) ÷ 20 = 98÷20

Mean = 4.9

Mean Absolute Deviation

= [(1 - 4.9) + (1 - 4.9) + (2 - 4.9) + (2 - 4.9) + (2 - 4.9) + (3 - 4.9) + (4 - 4.9) +

(4 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (5 - 4.9) + (6 - 4.9) + (6 - 4.9) +

(7 - 4.9) + (7 - 4.9) + (8 - 4.9) + (8 - 4.9) + (8 - 4.9) + (9 - 4.9)] ÷ 20

= [(3.9) + (3.9) + (2.9) + (2.9) + (2.9) + (1.9) + (0.9) + (0.9) + (0.1) + (0.1) + (0.1) + (0.1) + (1.1) + (1.1) + (2.1) + (2.1) + (3.1) + (3.1) + (3.1) + (4.1)] ÷20

= 40.4÷20

Mean Absolute Deviation for brand A = 2.02

Mean Absolute Deviation for Brand B:

The points are, 1,3,3,4,4,4,4,4,5,5,5,6,6,6,6,8,8,9,10,10

Mean = (1 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 8 + 8 + 9 + 10 + 10)÷20

Mean = [tex]\frac{111}{20}[/tex]= 5.55

Mean Absolute Deviation = [(1 - 5.55) + (3 - 5.55) + (3 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (4 - 5.55) + (5 - 5.55) + (5 - 5.55) + (5 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (6 - 5.55) + (8 - 5.55) + (8 - 5.55) + (9 - 5.55) + (10 - 5.55) + (10 - 5.55)] / 20

Mean Absolute Deviation = [tex]\frac{38.1}{20}[/tex]

Mean Absolute Deviation for brand B = 1.905

The complete question is-

Martin and Clara decide to keep track of the number of different colors in two brands of tennis shoes, brand A and brand B. Their results are represented by the dot plots. The mean absolute deviation for brand A is. The mean absolute deviation for brand B is. The mean absolute deviations for the two brands are similar.

Learn more about mean absolute deviation on:

brainly.com/question/17381861

#SPJ4

Martin And Clara Decide To Keep Track Of The Number Of Different Colors In Two Brands Of Tennis Shoes,

Related Questions

In a large population of adults_ the mean IQ is 119 with standard deviation of 18_ Suppose 50 adults are randomly selected for market research campaign: (Round to 2 decimal places for all z-values and round all other answers t0 decimal places, if needed ) (a) The distribution of IQ is exactly normal (b) The distribution of the sample mean IQ is approximately normal with mean of and standard deviation of (c) The probability that the sample mean IQ is less than 117 is (d) The probability that the sample mean IQ is greater than 117 is (e) The probability that the sample mean IQ is between 117 and 123 is

Answers

Standard deviation

a) The distribution of IQ is exactly normal.Trueb) The distribution of the sample mean IQ is approximately normal with mean of 119 and standard deviation of 2.54c) The probability that the sample mean IQ is less than 117 is 0.114d) The probability that the sample mean IQ is greater than 117 is 0.886e) The probability that the sample mean IQ is between 117 and 123 is 0.773Step-by-step explanationa) The distribution of IQ is exactly normalGiven population mean IQ, µ = 119Standard deviation, σ = 18b) The distribution of the sample mean IQ is approximately normal with mean of 119 and standard deviation of 2.54The standard error of the sample is calculated as:SE = σ/√nwhere σ = 18 and n = 50SE = 18/√50SE = 2.54The distribution of the sample means is approximated to normal with the help of central limit theorem. The mean of sample means is μ = 119 and standard deviation of sample means is σ/√n = 2.54.c) The probability that the sample mean IQ is less than 117 is 0.114We need to calculate the z-score using the formula:z = (x-μ)/SEz = (117-119)/2.54z = -0.79Now, using z-table, the probability is calculated as:P(Z < -0.79) = 0.2146The probability that the sample mean IQ is less than 117 is 0.114d) The probability that the sample mean IQ is greater than 117 is 0.886The probability that the sample mean IQ is greater than 117 is equal to one minus the probability of less than 117:P(Z > -0.79) = 1 - 0.2146 = 0.786The probability that the sample mean IQ is greater than 117 is 0.886.e) The probability that the sample mean IQ is between 117 and 123 is 0.773We need to calculate the z-score for 117 and 123 as:z1 = (117-119)/2.54 = -0.79z2 = (123-119)/2.54 = 1.57The probability of sample means between 117 and 123 can be found as:P(-0.79 < Z < 1.57) = 0.773The probability that the sample mean IQ is between 117 and 123 is 0.773.

Learn more about Standard deviation

brainly.com/question/23907081

#SJP4

??????????????????????question is on the pic

Answers

Answer:

Step-by-step explanation:

QR^2=PQ^2+PR^2

QR^2=(8[tex]\sqrt{3}[/tex])^2+(8)^2=8^2*(3+1)=8^2 * (4)

PR=8*2=16

answer is C

12 In terms of л, work out the length of an arc which subtends an angle of 240° at the cen- tre of a circle of diameter 6 cm.

Answers

Answer:

search-icon-header

Search for questions & chapters

search-icon-image

Class 10

>>Maths

>>Areas Related to Circles

>>Area of Sector and Length of an Arc

>>Find the length of the arc in terms of p

Question

Bookmark

Find the length of the arc in terms of π that subtends an angle of 30

∘

at the centre of a circle of radius 4 cm.

Easy

Updated on : 2022-09-05

Solution

verified

Verified by Toppr

⇒ θ=30

and r=4cm

⇒ Length of an arc =

360

(2πr)

Where, θ is angle subtended at a center.

2πr is circumference of a circle.

⇒ Length of an arc =

360

×2π×4

⇒ Length of an arc =

2π×4

∴ Length of an arc =

2π

Alex has 1/3 bag of cat food. If he feeds his cat an equal amount of food for 7 days, what fraction of the bag does he feed his cat each day

Answers

Alex feeds his cat 1/21 of the bag each day.

The fraction of the bag that Alex feeds his cat each day is 1/21. This can be calculated using the following formula:

Fraction of Bag = 1/3 / 7

Using algebra, we can solve this equation by multiplying both sides of the equation by 7, which results in the following equation:

1/3 = (1/21) * 7

Simplifying the equation, we get

1/3 = 1/21

Therefore, the fraction of the bag that Alex feeds his cat each day is 1/21.

Learn more about fraction here:

https://brainly.com/question/8969674

#SPJ4

Two rectangles were used to form the following figure. Use the ruler provided to measure the dimensions of the figure to the nearest quarter of an inch.Which measurement is closest to the area of the shaded region of this figure in square inches

Answers

The measurement that is closest to the area of the shaded region is 19 square inches.

How to find the area of Shaded Region this figure?

So to determine the area of shaded region. we first find by the area of the big rectangle.

Let the dimensions of rectangle are 10 by 15 inches.

The area would be

[tex]A = 10 *15\\= 150\ inches^{2}[/tex]

Now, we calculate the area of small rectangle.

Let the dimensions of rectangle are 10 by 13 inches.

The area would be

[tex]A = 10 *13\\= 130\ inches^{2}[/tex]

Now we calculate the difference between these two area,

= 150 - 130 inches²

= 20 inches²

19 value is the closest to 20.

So, 19 in² is the closest to the area of the shaded region.

To learn more about Rectangle, visit:

https://brainly.com/question/29444449

#SPJ1

Complete Question :

Two rectangles were used to form the following figure. Use the ruler provided to measure the dimensions of the figure to the nearest quarter of an inch.

Which measurement is closest to the area of the shaded region of this figure in square inches?

a. 19 in²

b. 11 in²

c. 6 in²

d. 8 in²

Suppose that the Local sales tax rate is 4% and you purchase a car for 24,500. A. How much Tax is paid?
B. What is the car’s total cost?

Answers

The purchase cost of a car 24,500 with local sales tax rate 4% has following answer,

Total tax paid = $980

Total cost of a car including tax = $25.480.

Purchasing cost of a car = $24,500

Local sales tax rate on a car = 4%

Tax paid on the car purchase = (Purchase price) × (tax rate)

Substitute the value we get,

⇒ Tax amount = 4% of 24,500

⇒ Tax amount = 0.04 x 24,500

⇒ Tax amount = $980

Total cost of a car including tax = ( Tax amount ) + (Purchase price )

Substitute the value we have,

⇒ Total cost of a car = Purchase price + Tax amount

⇒ Total cost of a car = 24,500 + 980

⇒ Total cost of a car = $25,480

Therefore, the tax paid on the car purchase and the car's total cost including tax is equal to $980 and $25,480 respectively.

Learn more about tax here

brainly.com/question/13259756

#SPJ4

question jordan wondered if the bean burritos at restaurant a tend to be heavier than bean burritos at restaurant b. to investigate, she visited each restaurant at 10 randomly selected times, ordered a bean burrito, and weighed the burrito. the 95% confidence interval for the difference (a - b) in the mean weight of the burrito is 0.06 ounce 0.20 ounce. based on the confidence interval, which conclusion is most appropriate?

Answers

The conclusion of question as discuss below.

Define the term mean?

The mean is a measure of central tendency that represents the average value of a set of numbers. It is calculated by adding up all the values in the set and then dividing by the total number of values.

Based on the given information, we can say that there is a 95% chance that the true difference (a - b) in the mean weight of the bean burritos between Restaurant A and Restaurant B falls within the interval 0.06 ounce to 0.20 ounce.

Since the confidence interval does not include zero, we can conclude that there is a statistically significant difference between the mean weights of the bean burritos at the two restaurants. Specifically, we can say that the mean weight of the bean burritos at Restaurant A is likely to be heavier than the mean weight of the bean burritos at Restaurant B.

However, it's important to note that we cannot determine the magnitude of the difference or the direction of causation (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).

To know more about mean, visit:

https://brainly.com/question/14532771

#SPJ1

We can infer that there is a statistically significant difference among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero.

Define the term mean?

The mean, which reflects the average value of a group of numbers, is a metric of central tendency. It can be calculated by adding up all of the values in the collection, dividing by the total number of values, and then taking the remainder away.

Based on the information provided, we can state that there is a 95% chance that the actual difference (a - b) between Restaurant A and

Restaurant B's mean weight of the bean burritos will lie between 0.06 ounce and 0.20 ounce.

We can infer that there is a statistically significant variance among the mean weights of the bean burritos at the two eateries because the confidence interval does not include zero. We can specifically state that the bean burritos' average weight at Restaurant A is probably heavier than the average bean burrito's weight at Restaurant B.

It's crucial to remember that we cannot establish the size of the difference or the causal relationship. (i.e., whether Restaurant A intentionally makes their burritos heavier or whether they use different ingredients that naturally result in heavier burritos).

To know more about mean, visit:

brainly.com/question/14532771

#SPJ1

Let the random variable Z follow a standard normal distribution. Find the value u , such that P(−0.62

Answers

We know, standard normal distribution is given by Z~N(0, 1) => σ=1Now, P(-0.62 P(Z P(u P(Z P(u) = 0.7392

Given, Random variable Z follows standard normal distribution. To find the value of u such that P(−0.62-0.62)Now, we will find the Z value for -0.62 using standard normal table as follows:-We get the value of P(Z<-0.62) as 0.2676Now, P(Z>-0.62)=1-P(Z<-0.62)=1-0.2676=0.7324Now, P(-Z<0.62)=P(Z<0.62)=0.7324We know, 0.62 lies between u=0 and u', we can find u' using standard normal table as follows:-From the standard normal table, we get that P(Z<0.62)=0.7315P(Z<0)=0.5Now, Z follows standard normal distribution, Z~N(0, 1) => 0.62=(u'-0)/1 => u'=0.62To find the value of u, let's use the formula Z = (X - μ) / σ where X is the observation, μ is the mean and σ is the standard deviation. We know, standard normal distribution is given by Z~N(0, 1) => σ=1Now, P(-0.62 P(Z P(u P(Z P(u) = 0.7392Now, using standard normal table, we get the value of Z when P(Z

Learn more about Standard Normal Distribution

brainly.com/question/29509087

#SPJ11

Select the correct answer from each drop-down menu.

The approximate length of side XY is (3, 3. 16, 4, 4. 24) units.

The approximate length of side YZ is (3, 3. 16, 4, 4. 24) units.

The approximate length of side ZX is (3, 3. 16, 4, 4. 24) units.

The approximate perimeter of triangle XYZ is (9. 32, 10, 10. 32, 11. 4) units

Answers

The approximate length of side XY is 3.16 units, side YZ is 4 units, and side ZX is 4.24 units. The approximate perimeter of triangle XYZ is 10.32 units.

To calculate the approximate perimeter of triangle XYZ, we must first find the approximate length of each side. To do this, we can use the Pythagorean theorem. For side XY, we calculate 3² + 3² = 9 + 9 = 18. We then take the square root of 18, which is approximately 3.16. For side YZ, we calculate 4² + 3² = 16 + 9 = 25. We then take the square root of 25, which is approximately 4. For side ZX, we calculate 4² + 4² = 16 + 16 = 32. We then take the square root of 32, which is approximately 4.24. Finally, we add the lengths of all three sides together to get the approximate perimeter of triangle XYZ, which is 3.16 + 4 + 4.24 = 10.32.

Learn more about length here

https://brainly.com/question/30625256

#SPJ4

In a certain fraction, the denominator is 6 more than the numerator. If 3 is added to both the numerator and denominator, the resulting fraction is equivalent to 1. What was the original fraction (not written in lowest terms)+

Answers

The original fraction is 5/8. The numerator of the original fraction is then n = √6, and the denominator is (√6 + 6). If we add 3 to both the numerator and denominator, we get (√6 + 3)/(√6 + 9). This fraction simplifies to 5/8.

Let the numerator be 'n'. The denominator is 6 more than the numerator, so the denominator is (n + 6).

We can represent this as an equation:

n/(n + 6) = 1

We can solve for the value of n by multiplying both sides by the denominator, (n + 6):

n*(n + 6) = 1*(n + 6)

Simplifying, we get:

n^2 + 6n = n + 6

Subtracting 6n from both sides gives us:

n^2 = 6

Taking the square root of both sides yields:

n = √6

The numerator of the original fraction is then n = √6, and the denominator is (√6 + 6). If we add 3 to both the numerator and denominator, we get (√6 + 3)/(√6 + 9). This fraction simplifies to 5/8.

Learn more about fraction here

https://brainly.com/question/10354322

#SPJ4

An isosceles triangle has an angle that measures 54°. What measures are possible for the other two angles? Choose all that apply.

63 34 54 72

Answers

Angles in a triangle add up to 180
and an isosceles triangle always has 2 angles that are the same
180 - 54 = 126
if we split this equally over 2 angles:
126/2 = 63
THE ANSWER IS 63

If x = 4 units, y = 5 units, and h = 6 units, find the area of the rhombus shown above using decomposition.

Answers

The area of a rhombus is 15 units².

What is the rhombus?

A rhombus is a quadrilateral with four sides that are all the same length. It is sometimes referred to as a lozenge or a diamond. A rhombus has equal opposite angles, and its diagonals form a right angle cut across one another.

Rhombus area can be express using the formula:

Area = (base x height) / 2

where the base and height refer to any two sides of the rhombus that form a right angle.

Given figure: base = 5 units and height = 6 units

Area of a rhombus = (5 × 6) / 2 = 30/2

Area of a rhombus = 15 units²

To know more about quadrilateral, visit:

https://brainly.com/question/12672291

#SPJ1

how do i write a linear equation to represent this relationship

Answers

Note that the linear equation that represents this relationship is y = -3x + 9.

What is the explanation for the above response?

To write a linear equation to represent this relationship, we need to find the slope and y-intercept of the line that passes through the given points.

Using the formula for slope, we have:

slope = (change in y) / (change in x)

= (0 - 9) / (3 - 0)

= -3

Now we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where m is the slope and (x1, y1) is any point on the line. Let's use the point (0, 9):

y - 9 = -3(x - 0)

Simplifying, we get:

y - 9 = -3x

Adding 9 to both sides, we get:

y = -3x + 9

Therefore, the linear equation that represents this relationship is y = -3x + 9.

Learn more about linear equation at:

https://brainly.com/question/29739212

#SPJ1

The Hair Care Salon charges a stylist $30 per day to rent a station at the salon. Rhonda, a stylist, makes $12 on each haircut.

Answers

Answer: I got it :)

The equation that represents the number of haircuts she needs to do is 10.5x = 168.

Step-by-step explanation:

Given, The Hair Care Salon charges a stylist $30 per day to rent a station at the salon, Rhonda, a stylist makes $10.50 on each haircut.

Therefore, She needs to earn $138 + $30 to make a profit of $138 and let

'x' be the number of haircuts.

Therefore, the equation that equation that represents this situation is.

10.50x = 138 + 30.

10.5x = 168.

Choose the most likely correlation value for this scatterplot:
r=−0.127
r=−0.383
r=−0.828
r=0.678
r=0.845
r=0.941

Answers

Based οn the given οptiοns, the mοst likely cοrrelatiοn value fοr this scatterplοt wοuld be r = -0.383.

What is cοrrelatiοn?

Cοrrelatiοn refers tο the statistical relatiοnship between twο οr mοre variables. In οther wοrds, it measures hοw strοngly twο variables are related tο each οther. A cοrrelatiοn value ranges frοm -1 tο +1, with -1 indicating a perfectly negative cοrrelatiοn, 0 indicating nο cοrrelatiοn, and +1 indicating a perfectly pοsitive cοrrelatiοn. A cοrrelatiοn cοefficient οf 0 means there is nο linear relatiοnship between the twο variables.

The cοrrelatiοn cοefficient ranges frοm -1 tο +1, where -1 indicates a perfect negative cοrrelatiοn, 0 indicates nο cοrrelatiοn, and +1 indicates a perfect pοsitive cοrrelatiοn. Based οn the given οptiοns, the mοst likely cοrrelatiοn value fοr this scatterplοt wοuld be r = -0.383. This indicates a mοderate negative cοrrelatiοn between the variables.

The absοlute value οf the cοrrelatiοn cοefficient (0.383) suggests that the relatiοnship is nοt particularly strοng, but there is sοme evidence tο suggest that as οne variable increases, the οther variable tends tο decrease.

To know more about correlation visit:

brainly.com/question/30053138

#SPJ1

In a large consumer survey, 610 randomly selected customers are interviewed in a large grocery store. They are asked, among other things, how much they have shopped for. On average, they have shopped for 412 SEK with a standard deviation of 181 SEK . Estimate with a 95% confidence interval the average purchase amount in the entire population.
Answer only with the statistical margin of error.

Answers

On the arranged survey, the statistical margin of error is supposed to be 14.73 SEK.

In a large consumer survey, 610 randomly selected customers are interviewed in a large grocery store. They are asked, among other things, how much they have shopped for. On average, they have shopped for 412 SEK with a standard deviation of 181 SEK .

Estimate with a 95% confidence interval the average purchase amount in the entire population. The formula for finding the margin of error is given as;

Margin of Error = z * (σ/√n)

Where:

σ is the standard deviation

n is the sample size

z is the Z-score for the desired confidence level, which is 95%.

Z-score corresponding to 95% confidence level is 1.96

Margin of Error = 1.96 * (181/√610) = 14.73

The statistical margin of error is 14.73 SEK.

Learn more about Statistical Margin of Error here: brainly.com/question/30760735

#SPJ11

The same video is uploaded to a different website. There are also 100 views in day one ,but 400 views on day 2and 1,600 views on day 3. Explain how the explicit and rescursive formula change

Answers

The explicit formula is given by the equation a(n) = 50n² + 25n + 25 and the recursive formula is given by a(n) = a(n-1) + 200, with a(1) = 100.

What is the finite differences method?

A approach for identifying patterns in numerical sequences is the method of finite differences. It entails first identifying the differences between each word in the sequence, then repeating the procedure with the sequence of differences that results. If a pattern forms where the gaps between the gaps are always the same, the initial sequence exhibits a polynomial pattern. Both the recursive formula, which enables us to compute any term by utilising the previous term in the series, and the explicit formula for the sequence, which allows us to calculate any term in the sequence directly, can be found using the procedure.

Given the views on different days we have:

First finite difference: 300-100 = 200

Second finite difference: 1200-300 = 900

We observe that second finite difference is constant and hence follows a quadratic pattern.

Using the explicit formula we have:

a(n) = 50n² + 25n + 25

where, a(n) is the views on day n.

Using recursive formula:

a(n) = a(n-1) + 200, with a(1) = 100

Hence, the explicit formula is given by the equation a(n) = 50n² + 25n + 25 and the recursive formula is given by a(n) = a(n-1) + 200, with a(1) = 100.

Learn more about explicit formula here:

https://brainly.com/question/18069156

#SPJ1

In circle F with m< EFG =30 and EF =11 units, find the length of arc EG. Round to the nearest hundredth

Answers

The required length of the arc is 5.75 units.

What are circle and arc?

A circular represents 360 degrees. A circular can be split up into smaller sections. An arc is a segment of a circle, and arcs are designated based on their angles. The three types of arcs are semicircles (v = 180°), major arcs (180° v 360°), and minor arcs (0° v 180°).

According to question:

We have;

∠EFG =30° = π/6

and EF =11 units

To find; length of arc EG.

So, we know that;

∅(Radian) = arc/ radius

π/6 = arc/11

arc = 11π/6

Arc = 5.75 units.

Thus, required length of the arc is 5.75 units.

To know more about Circle visit:

brainly.com/question/12711347

#SPJ9

Complete question:

Find the first 4 terms of the infinite geometric series if
S=33/4
r=1/3

Answers

The first four terms of the infinite geometric series are 11/2, 11/6, 11/18, and 11/54.

What are the first 4 terms of the infinite geometric series?

We can use the formula for the sum of an infinite geometric series to find the value of the first term:

S = a / (1 - r)

Where S is the sum of the infinite geometric series, a is the first term, and r is the common ratio.

Given that:

S=33/4

r=1/3

Substituting the given values:

33/4 = a / (1 - 1/3)

33/4 = a / (2/3)

a = (33/4) × (2/3) = 11/2

Now that we know the first term, we can use the formula for the nth term of a geometric series to find the first four terms:

an = a × r^(n-1)

Where an is the nth term, a is the first term, r is the common ratio, and n is the number of the term we want to find.

So the first four terms are:

a1 = 11/2

a2 = 11/2 × 1/3 = 11/6

a3 = 11/6 × 1/3 = 11/18

a4 = 11/18 × 1/3 = 11/54

Therefore, the first four terms are 11/2, 11/6, 11/18, and 11/54.

Learn more about geometric series here: https://brainly.com/question/27587903

#SPJ1

A large soda cup holds 32 ounces. What is this capacity in cubic

inches?

Answers

Answer:

57.7 cubic inches

Step-by-step explanation:

1 ounce = 1.8 cubic inches

32 ounces = 57.7 cubic inches

So, the capacity is 57.7 cubic inches.

A company sold 200 devices in 2007. The company sold 180 devices in 2008. The number of devices that the compnay sales is decreasing exponentially. If this trend continues, How many devices will the company sell in 2012?

Round to the nearest whole number.

Answers

Round to the nearest whole number A company sold 200 devices in 2007.

What is number?

Number is a mathematical concept that can be used to represent an amount, value, or quantity. It is an abstract concept that can be used to count, measure, and compare. Numbers can be represented in many different forms such as words or symbols. Numbers are also used in algebra and other mathematical operations, as well as in everyday life.

The company sold 180 devices in 2008. The number of devices that the compnay sales is decreasing exponentially. If this trend continues, How many devices will the company sell in 2012?
Round to the nearest whole number. Based on the trend of the company's sales, it is estimated that the company will sell approximately 140 devices in 2012. This is a decrease of 40 devices from the sales in 2008. This trend is expected to continue into future years due to the exponential decrease in the number of devices sold.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1

Rounding to the nearest whole number, the company will sell 75 devices in 2012.

What is number?

Number is a mathematical concept that can be used to represent an amount, value, or quantity. It is an abstract concept that can be used to count, measure, and compare. Numbers can be represented in many different forms such as words or symbols. Numbers are also used in algebra and other mathematical operations, as well as in everyday life.

To calculate the number of devices that the company will sell in 2012 using an exponential model, we can use the following equation:

y = 200e(-0.08x)

where y is the number of devices sold, 200 is the number of devices sold in 2007, and 0.08 is the rate of decay per year.

Plugging in x=5 (for 2012), we get:

y = 200e(-0.08×5) = 200e(-0.4) = 74.7

Rounding to the nearest whole number, the company will sell 75 devices in 2012.

To know more about number click-
brainly.com/question/24644930
#SPJ1

Find the following percentiles for the standard normal distribution. Interpolate where appropriate. (Round two decimal places.) (a) 61 st (b) 39 th (c) 75th (d) 25th (e) 15th

Answers

Finding the following percentiles for the standard normal distribution

a) P₁(61st percentile)

b) P₂(39th percentile)

c) P₃(75th percentile)

d) P₄(25th percentile)

e) P₅(15th percentile)

First of all, let's find the Z score of these percentiles with the help of the table below:

Z tableimage0.265 / 0.04 = 6.625.

This is greater than the maximum value in the table; hence we can consider it as 6.55.

P₁: When percentile is 61, z value is 0.42.