MODELING REAL LIFE A farmer grows two types of corn seedlings. There are 1000 seedlings of each type. The double
box-and-whisker plot represents the median growths of 50 random samples of 7 corn seedlings of each type. Compare
the growths of each type of corn seedling. Justify your result.

The rank of matrix A can be determined based on the given information in the question is as follows.

The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:

a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.

b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.

c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.

d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.

e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.

f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.

g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.

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Answer: the first 7 is in the thousands place the second seven is in the tens place.

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

Answer:They are practically the same thing the only difference is you use the formula when you have coordinates and rise over run when you have the graph

Step-by-step explanation:

Answer:

Row related frequencies

                 twins in family history        Twins not in           Total

                                                             family history

 Twins born   8 / 34  = 0.2353                26 / 34= 0.7647     1                                                          

single child born :125 / 966 = 0.1294    841 / 966 = 0.8706   1                  

Step-by-step explanation:

Given table         twins in                  twins not in

                           family history             family history      total

Twins born                      8                          26                    34

single child born            125                       841                    966

 Total                              133                      867                   1000

Row related frequencies

Given table       twins in family history     Twins not in     Total      

                                                                        family history  

Twins born     8 / 34  = 0.2353      26 / 34= 0.7647                  1                                              

single child born 125 / 966 = 0.1294    841 / 966 = 0.8706      1                

Total                            0.3647                                1.6353                  

Therefore, the cat food will feed Sally's 3 cats for 16 days.

A fraction is a way of representing a part of a whole or a ratio between two numbers. It is written as a numerical quantity represented as a numerator and a denominator separated by a horizontal line or slash. The numerator represents the number of equal parts being considered, while the denominator represents the total number of parts in the whole or in the group being considered.

Here,

Each cat eats 1/4 of a tin of cat food per day, so the total amount of cat food needed per day for all 3 cats is:

3 x 1/4 = 3/4

This means that Sally needs 3/4 of a tin of cat food per day to feed all 3 cats. If she buys 12 tins of cat food, this will last:

12 / (3/4) = 12 x 4/3

= 16 days

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Answer:

Step-by-step explanation:

660 inches

the tree is 660 inches tall. thx for points

tha ratio is

15 +21 : 20 + 10 + 42 and simplified is 36 : 72 = 1 : 2

answer: the first one

Answer:

8

Step-by-step explanation:

Income = 0

  so    0   = 9x^2 - 54x - 154  

             you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....

    divide both sides of the equation by 9 to get

           x^2 -6x -16   = 0  which easily factors to :

          (x -8)(x+2) = 0     <===== this shows x = 8   or -2(throw out)

Answer:

B

Step-by-step explanation:

to find the inverse of a function, repalace f(x) with x, and replace x with y, proceed to solve for y and the answer you get is B

Answer:

B

Step-by-step explanation:

f(x)=5x/3+5

y=5x/3+5

x=5y/3+5

now solve for y

3x=5y+15

5y=3x-15

y=3x/5-3 or 3(x-5)/5

We have two fractions being divided. When we divide two fractions, we flip the second fraction and multiply

1/12 divided by 1/6 = 1/12 * 6/1

-------

From here we multiply straight across.

The numerators multiply to get 1*6 = 6

The denominators multiply to 12*1 = 12

We end up with 6/12 which reduces to 1/2 when you divide both parts by the GCF 6

The vertical change in elevation is 1.06 miles.

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

From the right triangle formed, the adjacent side to the angle of elevation is 5 miles and the vertical change in elevation is the opposite side. From the trigonometric function, the tangent of an angle,

tan 12° = x / 5 miles

The value of x from the equation is 1.06 miles.

Thus, the vertical change in elevation is 1.06 miles.

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The vertical change in elevation from the point where the surveyor is standing to the point on the mountain = 1.06 miles

Here, angle of elevation θ = 12°

Let y be the the vertical change in elevation from the point where the surveyor is standing to the point on the mountain and x be the horizontal distance between the point on the mountain and the surveyor.

x = 5 miles

We need to find the value of y.

Consider tangent of angle of elevation θ

tan(θ) = y/x

tan(12°) = y/5

0.2126 = y/5

y = 0.2126 × 5

y = 1.06 miles

So, the vertical change in elevation = 1.06 miles

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Answer:

I think the answer B

If not then, sorry

The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

The null and alternative hypotheses for testing the claim that the majority of college students' cell phone bills are paid by their parents can be stated as follows:

Null hypothesis (H0): The majority of college students' cell phone bills are not paid by their parents.

Alternative hypothesis (Ha): The majority of college students' cell phone bills are paid by their parents.

In this scenario, the null hypothesis assumes that the proportion of college students whose parents pay their cell phone bills is less than 50% (not a majority), while the alternative hypothesis suggests that the proportion is greater than or equal to 50% (a majority). The significance level of 0.01 indicates that we want to use a 1% level of significance to evaluate the evidence against the null hypothesis.

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Answer:

240 minutes or 4 hours

Step-by-step explanation:

So if it takes Erica 80 minutes to analyze the company's monthly credit card statements, she will get 30/80 of it done in 30 minutes.

If it takes Alexa 2 hours to analyze the company's monthly credit card statements, she will get 30/120 of it done in 30 minutes.

Add 15 to each of the fractions because they analyze the company's monthly credit card statements with Mack for 15 more minutes.

So you have 45/80 and 45/120.

Now add both fractions by finding the lowest common denominator which is 240.

135/240 + 90/240 = 225/240

So Mack did the remaining 15/240.

Now to find how long it would take him to analyze the company's monthly credit card statements by himself divide 240 by 15 which is 16.

Then multiply

15 x 16 = 240

so it would take him 240 minutes or 2 hours.

The capacity of the storage container is 36ft³.

What do you mean by capacity?

The greatest amount a container can hold when full is known as capacity in mathematics. Metric measurement and conventional measurement are the two types of capacity measurements.

According to data in the given question,

The deposit of fertilizer in one week= 1.5ft³

After 5 weeks deposits of fertilizer= 15ft³

Now, we need to determine the deposits of fertilizer in 14 weeks,

The deposit of fertilizer in 14 week= 14× 1.5ft³

                                                         =21ft³

Then, the total capacity of the storage container= deposite in 5 weeks + deposits in 14 weeks

=15ft³+21ft³

=36ft³

Therefore, the capacity of storage container is 36ft³.

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Answer:

8 units²

Step-by-step explanation:

The area (A) of the shaded part (right triangle ) is calculated as

A = \(\frac{1}{2}\) × area of rectangle

   = 0,5 × 4 × 4 = 0.5 × 16 = 8 units²

Answer:

8 units ^2 are shaded

Step-by-step explanation:

The total area of the square is 4 * 4 = 16

1/2 of the square is shaded so

1/2 * 16 = 8

8 units ^2 are shaded

Answer:

b

Step-by-step explanation:

no

Answer:

The answer is B. the Pythagorean theorem

Step-by-step explanation:

brainiest pls?

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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Answer:

Step-by-step explanation:

A ∪ B -----> we have to write all the elements from A & B set without duplicating.

B∩C ------> We have to write only the elements that are found in both B set and C set

A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}

b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}

c) B ∩ C = {10,12}

Answer:

a. A U B = { 1,3,5,6,7,9,10,12 }

b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C = { 10.12 }

Step-by-step explanation:

a. A U B — you put all the numbers in set A and B together without repeating anything.

A U B = { 1,3,5,6,7,9,10,12}

b. A U C — you put all the numbers in set A and C without repeating anything.

A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C — you find a common number in sets B and C.

B n C = { 10,12}

The numbers 10 and 12 are the only common thing in sets B

and C.

Answer:

The correct answer is A. hire employees.

During a boom, or an economic expansion, businesses typically experience increased demand for their products and services. This often leads to higher profits and sales, and as a result, many businesses will choose to hire additional employees to help meet the increased demand. Hiring employees allows businesses to increase their production and sales, and it can also help them to capitalize on opportunities for growth and expansion.

The other answer choices, cutting jobs (B) and saving cash (C), are not typically associated with a boom. Cutting jobs would be more likely to occur during a recession or a downturn in the economy, when businesses are trying to reduce costs and improve their bottom line. Saving cash, on the other hand, is something that businesses might do during any economic conditions, as it can help them to build up a financial cushion and prepare for unexpected events. However, during a boom, businesses are more likely to focus on expanding their operations and taking advantage of the increased demand for their products and services.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

It seems like the most logical answer, as boom usually means it's doing well. When a business is doing well I doubt they would want to cut jobs or have to be worried about saving their extra cash.

Answer: The Union of two sets will be all elements without duplicate elements. So G U H ={apple , orange , banana , grape , duruan ,pear , strawberry}

Step-by-step explanation:

"U" is the union of two sets. The no of values in Union of two sets G , H

is G U H = G + H - (G ∩ H)

To learn more about sets notation,

The union of Ai from i=1 to n is the set of all positive integers up to n. Therefore, the union of Ai twice is also the set of all positive integers up to n.

We can find the union of all the sets Ai by simply taking the union of each set with the previous union. That is,

A1 = {1}

A2 = {1, 2}

A3 = {1, 2, 3}

So, we have:

A1 = {1}

A2 = {1, 2}

A3 = {1, 2, 3}

A4 = {1, 2, 3, 4}

Then, we can find the union of all these sets as follows:

∪i=1nAi = A1 ∪ A2 ∪ A3 ∪ ... ∪ An

= {1} ∪ {1, 2} ∪ {1, 2, 3} ∪ ... ∪ {1, 2, 3, ..., n}

= {1, 2, 3, ..., n}

So, the union of all the sets Ai is simply the set of all positive integers up to n. Thus, we have:

∪i=1nAi = {1, 2, 3, ..., n}

Now, we need to find the union of the sets Ai twice, i.e., (∪i=1nAi) ∪ (∪i=1nAi). Since the union of a set with itself is just the set itself, we have:

(∪i=1nAi) ∪ (∪i=1nAi) = ∪i=1nAi = {1, 2, 3, ..., n}

Therefore, the union of the sets Ai twice is also just the set of all positive integers up to n.

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Answer:

x=136

Step-by-step explanation:

the probability that at least flights are on time is

P(7) + P(8) + P(9) + P(10)

To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.

Let's assume we have the following information:

Probability of a flight being on time: p = 0.8 (80%)

Number of flights: n = 10

To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.

Let's say we want to find the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)

where C(n, x) represents the number of combinations of n items taken x at a time.

Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)

Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.

P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)

Performing the calculations will give us the specific probabilities and the final probability.

Complete Question :- According to an​ airline, flights on a certain route are on time 75​% of the time. Suppose 24 flights are randomly selected and the number of​ on-time flights is recorded.

​(a) Explain why this is a binomial experiment.

​(b) Find and interpret the probability that exactly 14 flights are on time.

​(c) Find and interpret the probability that fewer than 14 flights are on time.

​(d) Find and interpret the probability that at least 14 flights are on time.

​(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.

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There is sufficient evidence to conclude that the population standard deviation is different from 0.1.

What is test statistic?

A test statistic is a figure obtained from a statistical analysis. It explains how far your observed data is from the null hypothesis, which states that there is no correlation between the variables or distinction between the sample groups.

Given,

            \(H_0:\sigma =0.1\\H_a:\sigma \neq 0.1\)

Test statistic:

Chi square=(20-1)*0.25^2/0.1^2=118.75

df=20-1=19

p-value=CHIDIST(118.75,19)=0.0000

Reject the null hypothesis.

Hence, there is sufficient evidence to conclude that the population standard deviation is different from 0.1.

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As per the given confidence interval, the value of P is lees than significant.

Confidence interval:

In statistics, a range around a measurement that conveys how precise the measurement is referred as confidence interval.

Given,

A precision instrument is guaranteed to read accurately to within 2 units. a sample of four instrument readings on the same object yielded the measurements 353, 351, 351, and 355. find a 90% confidence interval for the population variance.

Here we need to find the assumptions of the given situation,

From the given question we have identified the following,

Reading of instruments = 353, 351, 351, and 355.

Confidence interval = 90% = 0.09

Number of units = 2.

Based on these details, the standard deviation of this temple is 0.7.

So, the Z score is the same as the sample mean minus the population mean divided by the standard error, which is 2.857.

Therefore, P value was less than significant.

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Answer:d≈5.2cm

Step-by-step explanation:

d=3a=3·3≈5.19615cm