Enter the slope intercept equation of the line Shown below.

Answer:

\( \frac{ 3}{4} \times 100\% \\ 75\%\)

Answer:

so um 2+3=5

Step-by-step explanation:

The linear equation that defines the dependent variable, t, in terms of the independent variable, a is t = 4/3a - 1.

Linear equation:

Linear equation is an algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

The general form of the linear equation is

y = mx + c

where

y = dependent variable

m = slope

x = independent variable

c = y - intercept

Given,

Here we have the table with the values of t and the value of a.

Now, we need to find the linear equation for this table.

In order to find the linear equation, we need the values of slope and the y intercept values.

To find the value of slope we have to take two point from the given table.

They are (4,5) and (12, 11).

Now, apply the value on the slope formula, then we get,

m = (12 - 4) / (11 - 5)

m = 8/6

When we simplify it, then we get,

m = 4/3

Now, we have to use the slope m and the point (4,5), to find the value of y intercept,

Then we get the value of c as,

5 = 4/3 (4) + c

15 = 16 + c

c = -1

Therefore, the linear equation of the table is, t = 4/3a - 1

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Answer:

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

Answer:

-3 and 10

Step-by-step explanation:

\(f(x)=x^2-7x-30\)

1) Factor the equation

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

\(f(x)=(x+3)(x-10)\)

2) Find the zeros

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!

The multiplicity οf -2 is 1. The multiplicity οf 1+i and 1-i is alsο 1Since the quadratic factοr 13x²+27x+47 has nο real rοοts, it dοes nοt have any multiplicity fοr real numbers such as -2.

The given functiοn is f(x) = 13x³ + 14x² + 12x + 8x + 6x + 8.

Tο find the multiplicity οf each zerο, we need tο first factοrize the pοlynοmial. We can use synthetic divisiοn tο factοrize the pοlynοmial and find its zerοs:

-2 | 13   14   12   8   6   8

 |     -26   24 -72  128 -268

 +----------------------------

   13  -12   36 -64  134 -260

1+i | 13   14    12     8       6      8

   |     13  27i  27+13i  35-7i  41-13i

   +-----------------------------------

   13  27+14i  27-13i  43-7i  47-13i   0

1-i | 13   14    12     8       6      8

   |     13 -27i  27-13i  35+7i  41+13i

   +-----------------------------------

   13  27-14i  27+13i  43+7i  47+13i   0

Hence, the factοrizatiοn οf the given pοlynοmial is:

f(x) = (x+2)(x-1-i)(x-1+i)(13x²+27x+47)

The zerοs οf the pοlynοmial are -2, 1+i, and 1-i.

The multiplicity οf -2 is 1 because it appears as a linear factοr (x+2) in the factοrizatiοn.

The multiplicity οf 1+i and 1-i is alsο 1 each because they appear as linear factοrs (x-1-i) and (x-1+i) in the factοrizatiοn.

Since the quadratic factοr 13x²+27x+47 has nο real rοοts, it dοes nοt have any multiplicity fοr real numbers such as -2.

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Answer:

positive

Step-by-step explanation:

because don't have the "-"

Answer:

positive

Step-by-step explanation:

0.912+134.1= 135.012

The missing value for the letter B is determined to be

A proportional equation is a mathematical relationship between two variables that states that the ratio of their values is constant. In other words, as one variable increases or decreases, the other variable changes in a proportional manner.

A proportional equation can be expressed using the following form:

y = kx

Where:

y and x are variables

k is a constant of proportionality

comparing the variables, using the equation y = kx

where

pens is y and

pencils is x

solving for k

63 = k * 21

k = 61 / 23

k = 3

Solving for B when k is 3

153 = 3 * B

B = 153 / 3

B = 51

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Answer:

1 and 23 (prime numbers)

Step-by-step explanation:

23 is a prime number. so, the only number that it can be divided by is 1 and itself. Your answer is 1 and 23.

The probability that between 31.2% and 50.4% of the students in the sample will be minority students is approximately 0.7154, or 71.54%.

To solve this problem, we can use the normal approximation to the binomial distribution, assuming that the sample size is large enough. The mean (μ) of the binomial distribution is given by n * p, where n is the sample size and p is the probability of success. In this case, the sample size is 100 and the probability of success is 0.36.

μ = n * p = 100 * 0.36 = 36

The standard deviation (σ) of the binomial distribution is given by the square root of n * p * (1 - p).

σ = √(n * p * (1 - p)) = √(100 * 0.36 * (1 - 0.36)) ≈ 4.16

To calculate the probability between 31.2% and 50.4%, we need to convert these percentages into z-scores using the formula:

z = (x - μ) / σ

where x is the observed value, μ is the mean, and σ is the standard deviation.

For 31.2%:

z1 = (31.2 - 36) / 4.16 ≈ -1.06

For 50.4%:

z2 = (50.4 - 36) / 4.16 ≈ 3.37

Next, we need to find the cumulative probabilities associated with these z-scores using a standard normal distribution table or calculator. The cumulative probability can be interpreted as the area under the normal curve up to a given z-score.

P(31.2% ≤ x ≤ 50.4%) = P(-1.06 ≤ z ≤ 3.37)

Using a standard normal distribution table or calculator, we can find the corresponding cumulative probabilities:

P(-1.06 ≤ z ≤ 3.37) ≈ 0.8577 - 0.1423 ≈ 0.7154

Therefore, the probability that between 31.2% and 50.4% of the students in the sample will be minority students is approximately 0.7154, or 71.54%.

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The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

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If we take t as total paid amount

x as the amount before adding tip

Then, the bill before adding tip would be

x = 31.29(1 - 0.196)

x = 25.15

If we take t as total paid amount

x as the amount before adding tip

We give our servers tips to show our appreciation for their helpfulness. As a statement that the service was subpar, we can also leave a very little tip or none at all.

However, how did tipping begin in the first place? Why don't businesses simply pay their staff a standard salary and raise their pricing to cover the difference? They do in certain areas, but many of us, particularly in the United States, are so used to tipping for good service and unsure of protocol that we end up tipping our servers regardless.

There are numerous theories as well.

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Answer:

b

Step-by-step explanation:

The roots of the quadratic equation x² + 3x - 6 = 0 are, x = [- 3 + √(33)]/2,

x = [- 3 - √(33)]/2.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We any to find any types of roots of a quadratic equation, real, complex or imaginary we use the formula,

[- b ± √(b² - 4ac)]/2a.

Therefore, The roots of the quadratic equation x² + 3x - 6 = 0 is,

x = [- 3 ± √(3² - 4×1×-6)]/2×1.

x = [- 3 ± √(9 + 24)]/2.

x = [- 3 ± √(33)]/2.

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The measure of the angle FNM is ∠FNM = 73°

Here we want to find the measure of the angle FNM, and we know the measures of two angles, these are:

∠GNF = 60°

∠MNL = 47°

You can see that:

∠GNF + ∠FNM + ∠MNL  = ∠GNL

And GNL is a plane angle, so its measure is 180°, then we can write tehe quation:_

60° + ∠FNM + 47° = 180°

We can solve that to get.

∠FNM  = 180° - 60° - 47°

∠FNM = 73°

That is the measure of the angle.

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Answer:

the slope of the line is .5

Step-by-step explanation:

start at point a and rise 1 and run 2 to point d which makes the slope 1/2

To measure the quality characteristics of an organization, one statistical technique that can be employed is Statistical Process Control (SPC).

SPC is a method used to monitor and control processes to ensure they are operating within predetermined limits. It involves the use of control charts to analyze process data and identify any variations that may occur.

SPC provides a visual representation of process performance over time, allowing organizations to identify and address any issues that may affect quality. Control charts, such as the X-bar and R charts or the X-bar and S charts, are commonly used in SPC to monitor the mean and variability of a process.

For example, let's say a manufacturing company wants to measure the quality characteristics of its production line. The company can collect data on key quality indicators, such as product dimensions or defects, at regular intervals. Using SPC, the company can create control charts to track these measurements over time. If the data points fall within the control limits, it indicates that the process is stable and in control. However, if there are any data points outside the control limits or any patterns or trends observed, it may indicate a problem that requires investigation and corrective action.

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Answer:

Not all the means are equal.

Step-by-step explanation:

In an ANOVA table, a sum of squares for the independent variable divided by its respective degrees of freedom.

So if the omnibus null hypothesis is rejected it means that there is sufficient evidence to conclude that not all the means are equal.

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If the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

ANOVA table gives us the total sum of squares ( TSS ), the residual sum of squares ( RSS ) and the estimated sum of squares ( ESS ).

It establishes the relation that:

ESS + RSS = TSS.

If we reject the omnibus null hypothesis, then it means that:

at least one of the population means is different from at least one other population mean.

Therefore, we get that, if the omnibus null hypothesis is rejected in a one-factor ANOVA, then, we can conclude that at least one of the population means is different from at least one other population mean.

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Answer: 96in.^2

Step-by-step explanation:

Ok so first we need to find the missing width of figure NPQR and we can do that by dividing the area by the length to solve for height. so 294/21 is 14 so the missing side of NPQR is 14. With me so far? now since these figures are similar lets find out how similar. so 21/12= 1.75 so JKLM increased in dilation by 1.75 to get to NPQR. So now that we found the missing side from NPQR we can divide that by 1.75 to find the missing side of JKLM now. So 14/1.75= 8. So 8 is the missing side of JKLM. Now all we have to do is multiply. So 8*12= 96 or 96in.^2

Answer:

The correct options are;

Heather likely did not make an error writing the equation of the line in her notebook because 0.77 and 1.34 are the slope y-intercept of the equation she recorded

Step-by-step explanation:

Based on the coordinates on the plot, Heather did not make a mistake in writing the line of best fit as the graph plotted with the points in the question  figure as follows;

x,            y

10.6,       9.4

8.2,         8.2

6.4,         7.3

6.6,         5.8

4.4,         5.4

4,            3.4

2.5,         4.4

2.2,         3

0.85,       1.5

Has an equation of he form, y = 0.7885·x + 1.3694.

The unit rate for each shirt if 24 shirts cost $259.36 as required to be determined is; $10.81.

It follows from the task content that the unit rate is to be determined if 24 shirts cost $259.36.

On this note, it follows that; the unit rate is given by the quotient;

Unit rate = Total cost / No. of units

Unit rate = 259.36 / 24

Unit rate = 10.80667.

Ultimately, the unit rate of the shirts as required is; $10.81.

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Answer:

The student did not distribute properly to get A= P+Prt. The equation can be fixed by putting a factor of P in the denominator: r=(A-P)/Pt

Step-by-step explanation:

just did it

There is an error in step 2 where distributive property was not followed.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Steps taken by the student to solve the formula of the simple interest for the values of '',

Step 1 : A = P( 1 +rt)

Step 2 : A = P + rt

Step 3 : A - p = rt

Step 4 : r = (A - P)/ t

There is an error in step 2 where distributive property was not followed.

Correct steps should be,

Step 1 : A = P( 1 +rt)

Step 2 : A = P + Prt [By distributive property]

Step 3 : A - P = Prt

Step 4 : r = (A-P)/Pt

Therefore, error was made in step 2.

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(Short) Answer:

Because the absolute value of a number is the distance between the number and the origin of the line.

Step-by-step explanation:

Mrs. Shen writes the expression |-5| + |3| on the board. Show or explain why the sum |-5| + |3| is the distance between -5 and 3 on a number line.

The definition of absolute value:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Because the absolute value of a number is the distance between the number and the origin of the line. (0, 0) -5's distance to the line is 5 and 3's distance to the origin of the line is 3. The sum of 5 and 3 is 8. Same with solving the absolute value, |-5| + |3| we get 5 + 3 which is 8 too.

The sum |-5| + |3| is the distance between -5 and 3 on a number line because  the absolute value of a number is the distance between the number and the origin of the line.

An expression is combination of variables, numbers and operators.

Given that Mrs. Shen writes the expression |-5| + |3| on the board.

By the definition of absolute value:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

The distance between -5 and 3 on a number line is 8.

The expression |-5| + |3| is the same as 8 because |-5| is 5 and |3| is 3, so 5 + 3 = 8.

Because the absolute value of a number is the distance between the number and the origin of the line.

The sum of 5 and 3 is 8. Same with solving the absolute value, |-5| + |3| we get 5 + 3 which is 8 too.

Hence,  the absolute value of a number is the distance between the number and the origin of the line.

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a. The third iteration of the for loop in the insertion sort algorithm performs 2 key comparisons.

b. The tenth iteration of the for loop in the insertion sort algorithm performs 9 key comparisons.

c. A total of 20 key comparisons are executed to sort the given list using the insertion sort algorithm.

a. In the third iteration of the for loop, the algorithm compares the key at index 2 (7) with the previous keys in the sorted subarray. Since 7 is smaller than 25, one comparison is made. Then, 7 is compared with 10, resulting in a second comparison. Therefore, the third iteration performs 2 key comparisons.

b. The tenth iteration of the for loop compares the key at index 9 (40) with the previous keys in the sorted subarray. As the key moves towards its correct position in the sorted subarray, it is compared with 93, 60, 35, 25, 12, 10, and the remaining elements. This results in a total of 9 key comparisons during the tenth iteration.

c. To sort the given list using the insertion sort algorithm, the algorithm iterates through each element in the list, comparing it with the previous elements in the sorted subarray and inserting it at the correct position. The first element requires 0 comparisons. The second element requires 1 comparison, the third element requires 2 comparisons, and so on. Summing up the comparisons for all the elements, we get a total of 20 key comparisons to sort the list using the insertion sort algorithm.

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Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

50 giraffes are in the tub

Step-by-step explanation:

0.10x500=50

hope this helps, have a good day

Answer: The answer is B.

Step-by-step explanation: An open circle means < or >. A closed circle means lesser or equal to or greater or equal to. The open circle is on 4 and the ray is going right. The closed circle is on 0 and the ray goes left. This is correct.

The second hand moves 6 degrees in one second, it will take it: 294/6 = 49 seconds to move from halfway between 1 and 2 to 4/5 of the way from 1 to 2.

The measure of the arc is 144 degrees.

When the second hand of the clock moves from halfway between the 1 and the 2 to 4/5 of the way from the 1 to the 2, it moves a total of 144 degrees.

This can be calculated as follows: The second hand of a clock completes one full revolution every 60 seconds or 1 minute.

This means that in 1 second, it moves 360/60

= 6 degrees.

To find the measure of the arc when the second hand moves from halfway between the 1 and the 2 to 4/5 of the way from the 1 to the 2, we need to find the difference between the two positions in degrees.

The position halfway between the 1 and the 2 is 1.5 on the clock face.

This is equivalent to 45 degrees (since the clock face is divided into 12 hours, each hour marking is 30 degrees apart, so halfway between 1 and 2 is 30+15 = 45 degrees).

4/5 of the way from the 1 to the 2 is 4/5 x 30 = 24 degrees from the 1 mark.

Therefore, the total angle between halfway between 1 and 2 and 4/5 of the way from 1 to 2 is:

24 + (360 - 45)

= 339 degrees.

However, we need to find the difference between these two positions, not the total angle.

Therefore, we need to subtract the position of the second hand at halfway between 1 and 2 from the position at 4/5 of the way from 1 to 2:

339 - 45

= 294 degrees.

Since the second hand moves 6 degrees in one second, it will take it:

294/6 = 49 seconds to move from halfway between 1 and 2 to 4/5 of the way from 1 to 2.

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To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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Answer:

362

Step-by-step explanation:

15xy=5430...therefore 5430divided by 15 is 362...so 362x15 their product is 5430

Answer: 3/8

Step-by-step explanation:

Answer:

your answer is

its 3.5