What is the slope of the line

Answer: $120

Step-by-step explanation:

So you find 1/3 of 180, basically, you multiply them which is 60.

So if he has a third of the money, he has $60, but he needs 180. So we subtract $180 (how much money he needs) from $60 (the money he has). Which is 120 dollars, so the boy needs $120.

Or 2/3 more.

Therefore, the rank of matrix 'a' in this case would be 5.

To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.

The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).

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Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

The appropriate regression model depends on the stationarity properties of both the dependent and independent variables, as well as the error term. The researcher can use a standard OLS regression model with first-order differencing of both Y and X.

In the first scenario, both Y and X are I(0), which means they are stationary time series. In this case, the researcher can perform a standard linear regression analysis, as the stationary series would lead to a stable long-run relationship. The answer from this model will be reliable and less likely to suffer from spurious regressions. In the second scenario, Y is I(2) and X is I(0). This implies that Y is integrated of order 2 and X is stationary. In this case, the researcher should first difference Y twice to make it stationary before performing a regression analysis. However, this approach might not be ideal as the integration orders differ, which can lead to biased results.

In the third scenario, Y and X are both I(1) and the error term is I(0). This indicates that both Y and X are non-stationary time series, but their combination might be stationary. The researcher should employ a co-integration analysis, such as the Engle-Granger method or Johansen test, to identify if there is a stable long-run relationship between Y and X. If co-integration is found, then an error correction model can be used for more accurate predictions.

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Answer:

Heads - Heads - Heads

Tails - Tails - Tails

Heads - Heads - Tails

Heads - Tails - Heads

Heads - Tails - Tails

Tails - Heads - Heads

Tails - Heads - Tails

Tails - Tails  - Heads

Step-by-step explanation:

Step-by-step explanation:

3 times × 2 possible options = 6 possible combinations

HHH

HHT

HTH

THH

TTT

THT

Answer:

9 quarters

Step-by-step explanation:

From the question

Jesse has $3.40 in quarters and nickels

Quarters = q = number of quarters

1 quarter = $0.25

nickels = n = number of nickels

1 nickel = $0.05

Hence,

0.25q + 0.05n = $3.40 .......Equation 1

The number of nickels is 5 more than 2 times the number of quarters.

n = 2q + 5

0.25q + 0.05n = $3.40 .......Equation 1

0.25q + 0.05(2q + 5) = 3.40

0.25q + 0.10q + 0.25= 3.40

0.35q = 3.40 - 0.25

0.35q = 3.15

q = 3.15/0.35

q = 9

Therefore, Jessie has 9 quarters.

The altimeter will indicate a reading of 22,697 feet.

Standard deviation is a measure of variability in a dataset. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. This measure indicates how much variation exists in a dataset.

If you are at an altitude of Flight Level 230 (23,000 feet) and forget to set your altimeter to the local altimeter setting during descent, your altimeter will indicate different readings depending on the field elevation and the local altimeter setting.

To calculate the difference between the two, we use the standard deviation formula. Specifically, we calculate the difference between the local altimeter setting and the field elevation, and subtract that difference from the Flight Level. The standard deviation formula then looks like this:

Flight Level - (Local Altimeter Setting - Field Elevation)

In our example, the equation would look like this:

23,000 - (30.02 - 303) = 22,697

It is important to note that when making such calculations, the Flight Level should always be expressed in feet, rather than in thousands of feet.

By using the standard deviation formula and keeping track of settings like local altimeter setting and field elevation, pilots can ensure that their altimeter readings are accurate and that their aircraft will land safely

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Answer:

Z=7.9

Step-by-step explanation:

20.4 + 20.4 = 40.8  

56.6 - 40.8 = 15.8

15.8/2 = 7.9

Answer:

z=7.9 cm

Step-by-step explanation:

So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.

z=7.9 cm

Therefore , the solution of the given problem of unitary method comes out to be 495 possible configurations for the program for this section.

The objective can be accomplished by utilizing what has been expression learned thus far, making use of this global availability, and incorporating all essential components from earlier changeable study that utilized a particular method. If the anticipated claim result actually occurs, it will be feasible to contact the entity once more; otherwise, both important processes will undoubtedly miss the statement.

Here,

Order doesn't matter in a combination issue like this one. The combination algorithm is as follows:

=> C(n, r) = r! * (n-r)!

where r is the amount of options, and n represents the total number of options. In this instance, r = 8 and n = 12 (the total amount of records) (the number of records to play). Inserting the values:

=> C(12, 8) = 12! / (8! * (12-8)!)

=> 495

There are 495 possible configurations for the program for this section.

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Step-by-step explanation:

x1y1 x2y2

(1,-2)(4,7)

y2-y1

x2-x1

7-(-2) = 9 = 3

4-1 3 1

The perimeter and area of a regular hexagon with side length of 8 and apothem of 9 are 48 units and 216 units² respectively.

A regular hexagon is a polygon with 6 sides and the angles are congruent.

The perimeter of the hexagon is the sum of the whole sides. Therefore,

side length = 8 units

apothem = 9 units

perimeter = 8 × 6 = 48 cm

The area of the hexagon can be calculated as follows:

area = 1 / 2 pa

where

p  =perimeter

a = apothem

Therefore,

area = 1  / 2 × 48 × 9

area = 432 / 2

area = 216 units²

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Step-by-step explanation:

djifvodp09govovkvcicodsodoss

Answer:

<DBE = 120

Step-by-step explanation:

A straight angle (ABC) has 180 degrees.

20 + 40 + x = 180                   Combine the left

60 + x = 180                           Subtract 60 from both sides.

60-60 + x = 180 - 60

x = 120

I

The volume should be 7168 yards

The area for the floor should be 14,336 yards

Warehouse details:

64 yds long

28 yds wide

8 yds high

---------------------------------------------------------------------------------------

What is the area of the warehouse​ floor?

the base of the warehouse is 64*28

which is 1792 yds squared

1792 yards squared

If the warehouse is filled to half its height with tightly packed​ boxes, what is the volume of the​ boxes?

half the height of the warehouse is 8/2=

4 yards

the volue of half the warehouse is

1792 * 4 = 7168 yds squared

I'm not quite sure how they want me to answer this but this is all that I got

(this part below can't be trusted)

either the boxes can be 1x1x1 which means 7168 boxes will fit

either the boxes can be 2x2x2 which means 896 boxes will fit

either the boxes can be 3x3x3 which means 265.481481 boxes will fit, which is definetly not it because they said "filled...tightly packed boxes".

plus, we don't know if the boxes are square or rectangle so I'm not sure

Answer:

27.5 = CE

Step-by-step explanation:

The two triangles should be similar to each other, so we can set up a ratio of 15:6. This gives us a final ratio of 2.5:1 Multiply EA = 11 by 2.5 to find its corresponding side measure

11*2.5 = 27.5

Answer:

x=7

m<2=33

Step-by-step explanation:

4x+5=5x-2

5+2=5x-4x

7=x

m<2=4x+5

m<2=4×7+5

m<2=28+5=33

Answer:

u agree with l=1/6xa

Step-by-step explanation:

Chantel will take approximately 12.19 hours to complete the triathlon with the given speed of his.

Total distance covered for the race is:

For swimming = 2.4 miles

Speed of Chantel in swimming = 1.2 miles per hour.

So, time taken for completing the swimming part = 2.4 / 1.2 = 2 hours.

For bike ride = 112 miles

Speed of Chantel in bike riding = 18.8 miles per hour

So, time taken for completing the bike riding part = 112 / 18.8 = 5.96 hours.

For running = 26.2 miles

Speed of Chantel in running = 6.2 miles per hour.

So, time taken for completing the running part = 26.2 / 6.2 = 4.23 hours.

Total time = 2 + 5.96 + 4.23 = 12.19 hours.

Therefore, Chantel will take approximately 12.19 hours to complete the triathlon with the given speed of his.

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The correct answer is c. Inferential Statistics.

Inferential statistics is the branch of statistics that allows for drawing conclusions about a population based on the information collected from a sample. When conducting research or surveys, it is often impractical or impossible to collect data from an entire population.

Instead, a representative sample is chosen, and inferential statistics are used to make inferences or predictions about the larger population. By analyzing the characteristics and patterns observed within the sample, inferential statistics enable researchers to make generalizations or draw conclusions about the population as a whole.

This process involves applying various statistical techniques, such as hypothesis testing and confidence intervals, to estimate population parameters and assess the reliability of the conclusions. Magnitude statistics, central tendency, and effect size are important concepts in statistics, but they do not specifically address the ability to draw population-level conclusions from sample data.

Magnitude statistics focuses on the size of the effect or relationship between variables, central tendency measures summarize the central values of a dataset, and effect size quantifies the strength of an effect or relationship.

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Answer:

20

Step-by-step explanation:

We need to find the slope and y-intercept using the table values:

To find the slope take two points and use the slope formula:

P2 (1, 0.75) andP2 (0,0)

So, our slope is 4/3

To find the y-intercept, we set x=0

Now, look at the table when x values 0.

The Point (0,0) is the y-intercept because is when x=0.

The probability of leaving it in any given class is 1/4, the probability of leaving it in the 5th class is 1/4, or\(0.250 (25.0%).\)

The probability that the student left her iClicker device in the 5th class is 0.250 (25.0%). This is because the probability of leaving it in any given class is 1/4, and as she attends 5 different classes,

there is 5/4 or 1.25 chances of her leaving it in the 5th class.

To explain further, the probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. In this case, the event is leaving the iClicker device in the 5th class, and the total number of possible outcomes is 5 (for the 5 classes).

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Answer:

D.) y < -1/5x + 1

Step-by-step explanation:

I sense that you're in a rush, so I'll spare you the lecture, haha.. Just trust.

Answer:

See the attached worksheet.

Step-by-step explanation:

This assumes that the second "Beans" entry was supposed to be "Carrots, instead.

Note how the equations match the describtion in the paragraph.  The multiply the only portion of the equation not explained is the (3y+5) expression in both equations.  By process of elimination (marked), this must be the area of the garden.

Since we are not given an actual numeric value for the area, the only thing we can write in Part B is to duplicate the simplified equations from Part A.

Answer:

5x+16

Step-by-step explanation:

2(x + 6) + 3x + 4​

Distribute

2x+ 2*6 + 3x+4

2x+12 + 3x+4

Combine like terms

2x+3x     +12 +4

5x+16

Answer:

5x+16

Step-by-step explanation:

A basis for the null space of the matrix is the vector [-1, 2, 1].

To find a basis for the null space of the matrix:

[ 0  1 -2 ]

[ 4  3 -5 ]

[ 1 -2  0 ]

We need to find the vectors x such that Ax = 0, where 0 is the zero vector. In other words, we need to solve the system of linear equations given by:

0x + y - 2z = 0

4x + 3y - 5z = 0

x - 2y + 0z = 0

We can start by using row reduction to put the matrix in reduced row echelon form:

[ 1  0  1 ]

[ 0  1 -2 ]

[ 0  0  0 ]

From the last row, we can see that z is a free variable, so we can choose any value for z. Then, using the first two rows, we can express x and y in terms of z:

x = -z

y = 2z

Therefore, the null space of the matrix consists of all vectors of the form:

[ -z ]

[ 2z ]

[ z  ]

We can verify that this is indeed the null space of the matrix by multiplying it by the original matrix and verifying that the product is the zero vector. For example, let's take z=1:

[ 0  1 -2 ]   [ -1 ]   [ 0 ]

[ 4  3 -5 ] * [  2 ] = [ 0 ]

[ 1 -2  0 ]   [  1 ]   [ 0 ]

Therefore, a basis for the null space of the matrix is the vector [-1, 2, 1].

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The tree is 34 feet tall.

Ratio of length of the stick to the length of the shadow = 6 : 4.5 = 4:3

Ratio of length of the tree to the length of its shadow   = x : 25 = 4:3

x / 25 = 4 / 3

x = 25 x 4 / 3 = 100/3 = 33.33

Therefore, the length of the tree to the nearest foot is 34 feet (approximately).

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We fail to reject the null hypothesis since the calculated t-statistic (0) is not greater than the critical values (-2.093 and 2.093). There is not enough evidence to suggest that the mean score in 2018 differs significantly from the mean score in 2017.

Based on the information given, the mean score on the math SAT in 2017 was not provided. However, assuming that the question is asking about the mean score in 2018, we can use the given values to answer the question.

(a) In order to determine if the assumptions for a hypothesis test are satisfied, we need to check if the sample is random and if the data is normally distributed. As long as the sample was selected randomly and independently of each other and the population is normally distributed, the assumptions for a hypothesis test are satisfied.

(b) We can perform a hypothesis test to investigate if the mean score in 2018 differs from the mean score in 2017 using the following steps:

Null Hypothesis (H0): The mean score in 2018 is equal to the mean score in 2017.
Alternative Hypothesis (Ha): The mean score in 2018 is not equal to the mean score in 2017.

We can use a two-tailed t-test to test the hypothesis since the population standard deviation is not known. Assuming a level of significance of 0.05, and using a t-distribution table with a degree of freedom of n-1=19, the critical values are -2.093 and 2.093.

The sample mean score in 2018 is given as 580. The mean score in 2017 is not provided in the question. Assuming that the mean score in 2017 is also 580, we can calculate the t-statistic as follows:

t = (sample mean - population mean) / (population standard deviation / sqrt(sample size))
t = (580 - 580) / (15 / sqrt(20))
t = 0

Since the calculated t-statistic (0) is not greater than the critical values (-2.093 and 2.093), we fail to reject the null hypothesis. Therefore, we can conclude that there is not enough evidence to suggest that the mean score in 2018 differs significantly from the mean score in 2017.

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