How do I draw and determine the equation of a trend line on a scatterplot

Answer:

250,000÷100 is equal to 2,500

Answer:

2500 is the answer

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For the given system of equation, the value of x = 4 and the value of y = -1

From the question, we are to solve the given system of equations

-7x + 4y = -32 -------- (1)

9x - 2y = 38   -------- (2)

From equation (2)

9x - 2y = 38

2y = 9x - 38

y = 4.5x - 19 -------- (3)

Substitute this into equation (1)

-7x + 4y = -32

-7x + 4(4.5x -19) = -32

-7x + 18x - 76 = -32

-7x + 18x = -32 + 76

11x = 44

x = 44/11

x = 4

Substitute the value of x into equation (3)

y = 4.5x - 19

y = 4.5(4) - 19

y = 18 - 19

y = -1

Hence, the value of x = 4 and the value of y = -1

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Answer:

Step-by-step explanation:

\(V=48,w=\frac{2}{3} l,h=\frac{1}{3} l,l=l\)

\(V=whl\)

\(48=\frac{2}{3} l\times \frac{1}{3} l \times l\)

\(48=\frac{2}{9} l^3\)

\(l^3=216\)

\(l=\sqrt[3]{216}\)

\(l=6\)

So length = 6m, width = 4m, height = 2m

Area of base = length x width = 24\(m^2\)

Answer:

2:1

Step-by-step explanation:

2:3=1:3

as product of extremes = product of means

(2)(3):(1)(3)

6:3

2:1

Answer:

x = 10

Step-by-step explanation:

Because the triangles are similar, the following equations must be solved in order to find out how much bigger or smaller the triangle is.

10 * y = 15

16 * y = 24

You'll find that

y = 1.5

Then, you are able to insert y into the following equation and solve for x

(x - 4) * y = 9

(x - 4) * 1.5 = 9

1.5x - 6 = 9

1.5x = 15

x = 10

We can plug x back into the previous equation in order to check if it is correct

(x - 4) * 1.5 = 9

(10 - 4) * 1.5 = 9

6 * 1.5 = 9

9 = 9

We need the average rate of change of the piecewise function shown from -4 to -2.

The formula for average rate of change is >>>

Where

a is the lower limit and b is the upper limit

Given,

a = -4

b = -2

We see from the graph, that,

f(b) = f(-2) = 1

f(a) = f(-4) = 1

Substituting into the formula, we have:

The average rate of change is 0

Answer:

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Step-by-step explanation:

If it is 4:00 a.m. in Honolulu when it is 2:00 p.m. in London, then the difference between times is:

\(d=14-4\\d=10\ hours\)

London is 10 hours ahead of Honolulu.

If Paul left Honolulu at 12:00 p.m, the corresponding time in London was:

\(t=12+10\\t=22 = 10:00\ p.m.\)

Since he arrived in London at 1:00 p.m. at Friday, the flight time was:

\(F= (24-22)+13\\F=15\ hours\)

The flight took 15 hours in total. If the temperature was 30°C when he boarded the flight and it decreases at a rate of 1°C per hour, the temperature when Paul arrives in London is:

\(T=30-(15*1)\\T=15^oC\)

Converting it to Fahrenheit

\(T=(15*\frac{9}{5})+32 \\T=59\ F\)

Paul should be wearing a light jacket appropriate for about 59 F or 15 °C

Answer:

d

Step-by-step explanation:

Answer:

c=10

Step-by-step explanation:

c² =8²+6²

c² =64+36

c²= 100

\( \sqrt{100} \)

= 10

There are various ways to represent the negation of a statement, or proposition p. One possible method is to use the symbol ~. Therefore, the negation of proposition p would be represented as ~p.

Similarly, if the proposition p is defined as "it is not snowing," then the negation of p, or not-p, would be represented as ~p or "it is snowing." This is because the negation of "it is not snowing" is "it is snowing."Thus, the equivalent proposition of not-p is "it is snowing." In summary, the negation of any statement p is a proposition that is the opposite of p. The negation of "it is not snowing" would be "it is snowing."Long explanation:For any statement p, there are different ways to express its negation or opposite. One way is to use the logical negation symbol, which is ~.

If p is the proposition "it is not snowing," then the negation of p or not-p would be represented as ~p or "it is snowing." This is because the negation of a negative statement is a positive statement. For instance, if we negate the statement "I am not happy," the result would be "I am happy." Likewise, if we negate the statement "it is not snowing," we would obtain "it is snowing."Therefore, the equivalent proposition to not-p is "it is snowing." This is because not-p is the negation of p, which means that it is the opposite of p. Since p is "it is not snowing," then not-p would be "it is snowing."

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Answer:

d

Step-by-step explanation:

On average, the high school students' times were lower, so the mean of the high school students' times was lower.

We don't know enough about the actual results to know any more than that.

Answer: d

The margin of error is 3.083 min

Margin of Error: The margin of error is the range of error permitted around the sample statistic in order to estimate the population parameter. The margin of error indicates the size of the confidence interval. The breadth of the confidence interval increases with the margin of error.

Sample size, n=24

Sample mean, ¯x=31.5 min

Sample standard deviation, s=7.3 min

Confidence level, c=95%

=0.95

From the given information we can calculate the below-required quantities,

Significance level, α=1−c=1−0.95=0.05

Degrees of freedom, DOF=n−1

=24−1

=23

Now from the t-distribution table,

The value of t (α2, DOF) is,

t (0.025,23) = 2.069  

Hence the margin of error will be,

MOE= t (α2, DOF) × s/√ n

=2.069×7.3/√24

=3.083 min

i. The upper limit of the confidence interval will be,

UL=¯x + MOE=31.5+3.083=34.583

The lower limit of the confidence interval will be,

LL=¯x−MOE

=31.5−3.083

=28.417

Hence, the 95% confidence interval is (28.417,34.583)

(28.417,34.583)

The answer is 28.417,34.583

ii. The required answer is MOE=3.083 min

ii. We have found the 95% confidence interval for the population mean to be (28.417,34.583). This means with 95 % confidence; it can be said that the population mean commute time is between the bounds of the confidence interval.

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Answer:

The answer is B

Step-by-step explanation:

Given: Cory owes $1,000 to his bank. During the time of his loan, he is charged a real of 12% simple annual interest

To find: If he does not make any payments on his loan,  draw table showing the relationship between the amount he owes and the number of months

Solution:

Loan amount P = $ 1000

Rate of interest R  = 12 % per annum

SI = P * R * T /100

one month  T = (1/12) Years

Interest per month =  1000 * 12 * (1/12) /100  =  $ 10

Hence interest chaarges $ 10 per month

Cory owes to bank the loan amount and interest

Cory owes = 1000 +  10 n

where n is the number of months

Month                 Amount

  0                         1000

  1                           1010

  2                         1020

  3                          1030

   4                          1040

   5                           1050

   6                            1060

    7                            1070

     8                            1080

      9                            1090

and so on

Answer:

$40.86

Step-by-step explanation:

just multiply 49.99 times 0.15 then multiply 49.99 times 0.10 then add those together to get 12.49 then multiply 49.99 times 0.0675 to get 3.37 then subtract 12.49 from 49.99 then add 3.37 to that so like

(49.99 - 12.49) + 3.37 = 40.86

The required GCF is 8.

The greatest common factor is that greatest number from the factors which divides the number completely.

For example take numbers 12 and 16.

The factors of 12 are 2×2×3.

And the factors of 16 are 2×2×2×2.

We can clearly see that the common factors are 2×2 which gives 4. So, 4 is the greatest common factor which divides both 12 and 16.

Here it is given to find the greatest common factor of 16 and 40.

Factors of 16 = 2×2×2×2

Factors of 40 = 2×2×2×5

We can see clearly the common factors are 2×2×2 which gives 8.

So, 8 is the greatest common factor.

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Step-by-step explanation:

Another music store rents trombones for $30 per month plus a yearly fee of $48. Which deal is better? Should Maria change her rental plan?

Part A: Maria needs a trombone for only 12 months. Renting the trombone costs $34 per month. She can buy the trombone for $495. Should she buy or rent the trombone? Explain.

Option 1, SHOP 1: [at $30 a month] When Maria rents for a year, or x = 12 months

This can be described by the equation:

30x + 48

where x = number of months rented

30(12) + 48

= $408

___________

Option 2, SHOP 2:  [at $34 a month] When Maria rents for a year, or x = 12 months

This can be described by the equation:

34x + 48

where x = number of months rented

34(12) + 48

= $456

___________

Option 2, buy: for $495

ANALYSIS:

Because Maria only needs the instrument for a year (12 months), Maria would do best to rent her instrument from option 1, shop 1 (renting at $30 a month + $48 yearly fee). Purchasing the instrument is the most costly.

Should Maria need the instrument longer than a year, then the option preference would change.

According to the given data we have the following:

running pace is 3.75 mph

going to run at least 1.5 miles

Therefore, to calculate the amount of hours will the person have to run we would make the following calculation:

amount of hours will the person have to run=1.5/3.75 mph

amount of hours will the person have to run=0.4

Therefore, the amount of hours the person will have to run will be 0.4 hours

Answer:

Let the maximum number of operations the computer can perform per second be x.

According to the problem, the computer is running at 65% of the maximum, so it is performing 0.65x operations per second. We also know that it is performing 30 operations per second. So we can write the equation:

0.65x = 30

Solving for x, we get:

x = 30/0.65

x ≈ 46.1538

Rounding to the nearest whole number, we get:

x ≈ 46

Therefore, the maximum number of operations the computer can perform per second is 46, which is option 2.

Answer:

20t

Step-by-step explanation:

15 is where the boat started so 20t is how much the boat traveled from the origional position of 15

The 20t distance the boat has traveled from its original position.

Given that,

She creates a function f(t)= 20t + 15,

To show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed.

We have to determine,

Which of the following represents the distance the boat has traveled from its original position.

According to the question,

She creates a function f(t)= 20t + 15 .

To show how many miles she has traveled f(t) from her mom’s house in Texas after (t) hours have passed.

Then,

Her mom’s house in Texas after (t) hours have passed.

The 15 is where the boat started

And 20t is the boat traveled from the original position of 15.

Hence, The 20t distance the boat has traveled from its original position.

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Hence the given statement if p is an invertible m x m matrix, then rank PA = rank A is proved.

what is invertible matrix?

An invertible matrix is a matrix for which matrix inversion operation exists, given that it satisfies the requisite conditions.

proof:

Let A be an m × m matrix and P be an invertible m × m matrix.

We know that Rank(A) is the number of non-zero rows in A based on the definition of matrix rank.

Therefore,

Rank(PA) = Number of non-zero rows in PA

Therefore,

Rank(PA) = Number of non-zero rows in PA

               = Number of non-zero rows in A

               = Rank(A)

Hence, we can conclude that if P is an invertible m × m matrix, then Rank(PA) = Rank(A).

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Yes, the data provide evidence that there is a linear association between hours of television watched a week and GPA. This statement can be supported by statistical analysis of the data.

A linear association exists between two variables when the pattern of their plotted values on a scatterplot approximates a straight line. A linear association occurs when one variable increases while the other decreases. It is also known as a straight-line relationship.

The data you have asked about, which is the relationship between hours of television watched a week and GPA can be analyzed using statistical tools. The data can be graphed in a scatterplot to see whether there is a pattern between the variables. If a straight-line pattern is observed, then there is a linear association.

The statistical tools that can be used to analyze the data include the calculation of the correlation coefficient and regression analysis. The correlation coefficient is a measure of the strength of the association between two variables. It ranges from -1 to 1, with -1 indicating a perfect negative relationship, 0 indicating no relationship, and 1 indicating a perfect positive relationship.

Regression analysis can be used to determine the equation of the line of best fit for the data. This line represents the linear relationship between the two variables. By analyzing the slope of the line, we can determine the strength of the relationship between the variables. In conclusion, yes, the data provide evidence that there is a linear association between hours of television watched a week and GPA.

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Answer:

brain

Step-by-step explanation:

brain to the fullest

The numeric value of the expression 4x² when x = 3 is of 36.

The numeric value of an expression is found replacing each instance of the letter by it's attributed value.

For this problem, the expression is given by:

4x².

We want to find the numeric value when x = 3, hence:

4(3)² = 4 x 9 = 36.

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A graphical tool used to help determine whether a process is in control or out of control is known as a Control Chart.

Control charts are essential in quality control and statistical process control (SPC). They allow you to monitor process performance and variability over time, enabling you to identify trends, shifts, or deviations from the established process baseline.

Control charts typically consist of a centerline, representing the process mean, and upper and lower control limits, which indicate the acceptable range of variation. Data points are plotted on the chart, and if they fall within the control limits, the process is considered to be in control. If data points fall outside the control limits or display non-random patterns, the process is considered out of control, signaling potential issues that need to be investigated and addressed.

In summary, control charts are a valuable graphical tool that assists in determining the stability of a process, facilitating continuous improvement efforts and ensuring product quality. They provide a visual representation of process variation and help identify when corrective actions are needed to bring a process back into control.

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Answer:

324

Step-by-step explanation:

Answer:

324

Step-by-step explanation:

√16*9²

4*81

324

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The number real solutions the equation have u² = -34 is no real solution, the correct option is A.

We are given that;

Function u² = -34

Now,

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

The equation u^2 = -34 has no real solutions. This is because there is no real number u that satisfies u^2 = -34. To see this, we can try to solve for u by taking the square root of both sides:

u = ±sqrt(-34)

However, the square root of a negative number is not a real number. It is an imaginary number that involves the imaginary unit i, defined by i^2 = -1. Therefore, u = ±sqrt(-34) is not a real solution. The equation u^2 = -34 has only imaginary solutions.

Therefore, by equations the answer will be no real solution.

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Answer:

Fraction: 2 7/10

deciml: 2.7

Answer:

Fraction: 2\(\frac{7}{10} \)

Decimal: 2.7

Step-by-step explanation:

Answer:

=) you are so sweet and this is very much appreciated

Step-by-step explanation:

thank you

Answer:

30

Step-by-step explanation:

7+3=10-3=7+23=30