On each trial of a digit span memory task, the participant is asked to read aloud a string of random digits. The participant must then repeat the digits in the correct order. If the participant is successful, the length of the next string is increased by one. For instance, if the participant repeats four digits successfully, he will hear five random digits on the next trial. The participant's score is the longest string of digits he can successfully repeat.
A professor of cognitive psychology is interested in the number of digits successfully repeated on the digit span task among college students. She measures the number of digits successfully repeated for 49 randomly selected students. The professor knows that the distribution of scores is normal, but she does not know that the true average number of digits successfully repeated on the digit span task among college students is 7.06 digits with a standard deviation of 1.63 digits.
a. The expected value of the mean of the 49 randomly selected students, M, is:_____
b. The standard error of M is:______
Answers
Answer:
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b)
The Standard error of the mean is 0.2328
Step-by-step explanation:
Explanation:-
Given sample size 'n' = 49
The Expected value of the mean of 49 randomly selected students
μₓ = μ =7.06 digits
b)
The Standard error of the mean determined by
\(S.E = \frac{S.D}{\sqrt{n} }\)
Given sample size 'n' = 49
The Standard deviation 'σ' = 1.63 digits
The Standard error
\(S.E = \frac{S.D}{\sqrt{n} }\)
\(S.E = \frac{1.63}{\sqrt{49} } = 0.2328\)
Final answer:-
a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits
b) The Standard error of the mean is 0.2328
Related Questions
PLEASE HELP ME I DONT HAVE MUCH TIME NO LINKS PLEASE! Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Simplify using order of operations. Show all of your work and do ONE operation at a time to receive all
possible points.
90 = [10+ (32 – 4)]
Answers
Answer:
A. 52-=0
Hope to help again
A triangle abc has angle measures of 45,45 and 90 and two congruent (equal sides. How would this triangle be classified ?
Answers
An isosceles triangle is one with two equal-length sides. ΔABC is an isosceles right angled triangle.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
An isosceles right angled triangle has two equal sides, and those two equal sides make 90 degrees (right angle) internally. While the other two angles of the triangle measure 45°.
Hence, ΔABC is an isosceles right angled triangle.
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twenty-five percent of this square is shaded. what percent of the square is not shaded?
Answers
Answer:
75%
Step-by-step explanation:
100-25 = 75
Question 14 options: x−93=28 Solve for x.
Answers
Answer:
x = 121
Step-by-step explanation:
In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.
Answer:
121
Step-by-step explanation:
x-93=28
x=28+93
x=121
NEED HELP ASAP
Which is best described as a part of the interior of a circle bounded by an arc
and the two radii that share the are's endpoints?
Answers
Answer:
The answer is sector. B.
Good day!In Mr. Romeo's class, a student must work on i-Ready for at least 4 hours per month to receive a grade of 100. Last month Sophia received a math grade of 100. Which inequality represents the number of hours Sophia spent working on i-Ready last month, where h represents the number of hours? (PLEASE HELP MEE!! GIVING 10 POINTS!)
A. h≥4
B. h>100
C. h≤100
D. h<4
Answers
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
Option A is the correct answer.
We have,
The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.
Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.
And,
The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.
Therefore,
The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.
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4.) You noticed that the store brand of your favorite drink is on sale at your local grocery
store for a 12 pack of cans for $2. You try it and like it. So, you go back and buy another 3
12-packs. How much money will you save over the course of a month if you drink one can a
day at work instead of spending $1.25 at the vending machine assuming there is 20 working
days in a month? How much would you save in a year?
Answers
So on solving the provided question, we can say that by unitary method saving = 25 - 7.3333333336 = $17.6666666664
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
by unitary method,
12 pack of can, costs = $2
cost of 3 12 pack can - $2 *3 = $6
12 pack can = 12 days
1 can = $2/12 = $0.1666666667
8 can = $0.1666666667*8 = $1.3333333336
original cost of 1 can = $1.25
ordinal cost of 20 cans = $1.25*20 = 25
sale cost of 20 cans = $1.3333333336 + $6 = 7.3333333336
saving = 25 - 7.3333333336 = $17.6666666664
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Select the correct structure that
corresponds to the name.
3,4-dichloro-2-methylheptane
A. C1
B.
CH3
CH3CHCHCHCH2CH2CH3
CI
CH3
CI CI
C. both
Enter
Answers
Answer:
the correct structure would be B
The correct structure of the compound 3, 4 - dichloro-2-methylheptane is
CH3
CH3CHCHCHCH2CH2CH3
Cl CI
Organic compoundOrganic compound are carbon and its other elements.
There are rules in naming an organic elements . They are as follows:
Locate the longest chain in the compound. Therefore, the longest carbon chain is 7. Name that longest carbon chain. The number 7 corresponds to 'hept-. The chlorine is on the third and fourth carbon chain. Methyl is on the second carbon chain.Therefore, the correct structure of the compound 3, 4 - dichloro-2-methylheptane is the B option.
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How many ways can you arrange your 3 statistics books, 2 math books, and 1 computer science book on your bookshelf if (a) the books can be arranged in any order
Answers
Answer:
720 different ways.
Step-by-step explanation:
Permutation has to do with arrangement. For example, in order to arrange 'n' objects in any order, this can only be done in n! ways since there is no condition or restriction on how to arrange the objects.
n! = n(n-1)(n-2)... (n-r)!
If there are 3 statistics books, 2 math books, and 1 computer science book on your bookshelf, the total number of books altogether is 3 + 2 + 1 = 6 books.
The number of ways that 6 books can be arranged in any order is 6!.
6! = 6(6-1)(6-2)(6-3)(6-4)(6-5)
6! = 6*5*4*3*2*1
6! = 120*6
6!= 720 different ways.
Hence, the books on your shelf can be arranged in 720 different ways.
For the third week of April, Patricia Thomas worked 53 hours. Patricia earns $11.90 an hour. Her employer pays overtime for all hours worked in excess of 40
hours per week and pays 1.5 times the hourly rate for overtime hours.
Calculate the following for the third week of April (round your responses to the nearest cent if necessary):
1. Regular pay amount
2. Overtime pay
3. Gross pay
Answers
Given statement solution is :- For the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
To calculate Patricia's pay for the third week of April, we'll need to determine her regular pay, overtime pay, and gross pay.
Regular Pay:
Patricia worked 53 hours, but only 40 hours are considered regular hours. Therefore, the regular pay is calculated as follows:
Regular Pay = Regular Hours x Hourly Rate
Regular Pay = 40 hours x $11.90/hour
Regular Pay = $476
Overtime Pay:
Since Patricia worked 53 hours in total and 40 of those are regular hours, the remaining 13 hours are considered overtime hours. Overtime pay is calculated by multiplying the overtime hours by 1.5 times the hourly rate.
Overtime Pay = Overtime Hours x (Hourly Rate x 1.5)
Overtime Pay = 13 hours x ($11.90/hour x 1.5)
Overtime Pay = 13 hours x $17.85/hour
Overtime Pay = $231.45
Gross Pay:
Gross Pay is the sum of Regular Pay and Overtime Pay.
Gross Pay = Regular Pay + Overtime Pay
Gross Pay = $476 + $231.45
Gross Pay = $707.45
Therefore, for the third week of April, Patricia's:
Regular pay amount is $476.
Overtime pay is $231.45.
Gross pay is $707.45.
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State the reference angle for the given angle. − 13/12 π
Answers
The reference angle for -13/12 π is 1/12 π or π/12, which is the acute angle between the terminal side of the given angle and the x-axis.
When we talk about the reference angle for an angle, we are referring to the acute angle formed between the terminal side of the given angle and the x-axis. This acute angle is always positive and is measured in the counterclockwise direction from the terminal side to the x-axis. To find the reference angle for the given angle -13/12 π, we need to take the absolute value of the angle, which is 13/12 π, and then subtract the nearest multiple of π/2 that is less than or equal to it.
Since π/2 is equal to 6/12 π, the nearest multiple of π/2 that is less than or equal to 13/12 π is 12/12 π or π.
Subtracting π from 13/12 π, we get:
13/12 π - π = -1/12 π
Therefore, the reference angle for -13/12 π is 1/12 π or π/12, which is the acute angle between the terminal side of the given angle and the x-axis.
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explain why f(2) + f(3) ≠ f(5)
Answers
A function is an equation that has a single solution for each value of y.
How to prove that two functions are equal?When two functions f and g share a domain and a codomain, and f(a)=g is true for each an in the domain, we say that the two functions are equal (a).
A function is an equation with just one solution for every value of y in the equation. A function pairs each input of a particular type with exactly one output. Instead of y, it is typical to name functions f(x) or g(x).
If two functions share the same domain and codomain as well as the same values across the board, then they are considered to be equal.
In spite of how the elements are arranged in the sets, two sets are said to be equal when all of their components are present in both. Afterward, the sets are referred to as equal sets. When all of one set's elements are absent from the other, two sets are said to be unequal.
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The equation Y= X^2/2 - 8 and Y= 2X -2 are graphed below what are the solutions to the equation X^2/2 - 8 = 2X -2 
Answers
The equation X^2/2 - 8 = 2X - 2 has two solutions, X = 6 and X = -2. These are the values of X that satisfy the equation and make both equations Y = X^2/2 - 8 and Y = 2X - 2 intersect on the graph.
To find the solutions to the equation X^2/2 - 8 = 2X - 2, we need to set the two equations equal to each other and solve for X.
The equation is:
X^2/2 - 8 = 2X - 2
To simplify the equation, let's multiply both sides by 2 to eliminate the fraction:
X^2 - 16 = 4X - 4
Next, we rearrange the equation to have all terms on one side:
X^2 - 4X - 12 = 0
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use factoring in this case:
(X - 6)(X + 2) = 0
Setting each factor equal to zero gives us two possible solutions:
X - 6 = 0 --> X = 6
X + 2 = 0 --> X = -2
So the solutions to the equation X^2/2 - 8 = 2X - 2 are X = 6 and X = -2.
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What is the area of a rectangle
7 inches long and 3 inches wide?
Answers
Answer:
21
Step-by-step explanation:
you do 7x3
How to write this sum 24,6 in expanded notation
Answers
Answer:
2.46×10
Step-by-step explanation:
24.6
2.46 ×10
.....................
You need a total of 60 pounds of two commodities costing $1.35 and $2.85 per pound.
A) Verify that the total cost is y = 1.35x + 2.85(60 - x), where x is the number of pounds of the less expensive commodity.
Let x be the number of pounds of the commodity costing $1.35 per pound. Because there are_____pounds total, the amount of the second commodity is______. The total cost, in dollars, is y = 1.35x + 2.85(60 - x).
B) Find the inverse function of the cost function.
What does each variable represent in the inverse function?
1) X represents the commodity costing $1.35 per pound and Y represents the commodity costing $2.85 per pound.
2) X represents pounds and Y represents cost.
3) X represents the commodity costing $2.85 per pound and Y represents the commodity costing $1.35 per pound.
4) X represents cost and Y represents pounds.
5) X represents the commodity costing $1.35 per pound and Y represents cost.
C) What is the domain of the inverse function?
Validate or explain your answer using the context of the problem.
1. The domain of the inverse function is equal to the range of the original function.
2. The domain of the inverse function is equal to the domain of the original function.
3. The domain of an inverse function is always R.
D) Determine the number of pounds of the less expensive commodity purchased when the total cost is $78.
Answers
Answer: provided in the explanation section
Step-by-step explanation:
We will take this problem step by step to ensure we have easy understanding of the problem at hand.
(a). taking x as the number of pounds of the commodity costing $1.35 per pound.
Also since we have 60 pounds as total
The amount of second commodity is 60 - x
then the total cost (in dollars) is
y = 1.35x + 2.85(60 - x)
(b). since we have that;
y = 1.35x + 2.85(60 - x)
solving for y gives
y = 1.35x + 171 - 2.85x
y = 171 - 1.5x
doing exchange of variables y and x we have;
x = 171 - 1.5y
where;
1.5y = 171 - x
y = 171 - x / 1.5
f(x) = y and y = f⁻¹(x)f⁻¹(x) = 2/3 [171 - x] ------------- (1)
Here x represents the cost and y represents the pounds
(c). Given that less commodity is purchased, the Cost will be at its lowest and will be 60 (1.35) = $81.
Also, if only the more expensive commodity is purchased, the Cost will be at its maximum and will be 60(2.85) = $171
Therefore the domain of inverse becomes [81,171]That is to say that the domain of inverse function is equal to the range of original function.
(d). plug in x = $78 in the inverse function
where y = 2/3 [171-78]
y = 2/3[93] = 2[31]
y = 62
The number of pounds of the less expensive commodity purchased when the total cost is $78 is given as
y = 62
cheeers i hope this solution was helpful
Which of the following equations is true? 1+1=1•1
7•1•0= 7+1 + 0
5•1= 5 +0
3+1 = 3•0
Answers
Answer:
5 • 1= 5 + 0
Step-by-step explanation:
Frist Option:
1 + 1 = 1 * 1
2 ≠ 1
Second Option:
7 * 1 * 0 = 7 + 1 + 0
0 ≠ 8
Third Option:
5 * 1 = 5 + 0
5 = 5
Forth Option:
3 + 1 = 3 * 0
4 ≠ 0
The third option is correct. Hope this helps.
The equation 5·1=5+0 is true. Therefore, option C is the correct answer.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
A) 1+1=1·1
2≠1
B) 7·1·0=7+1+0
0≠8
C) 5·1=5+0
5=5
D) 3+1=3·0
3≠0
Therefore, option C is the correct answer.
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Pls help urgently extra points and mark brainlist
Answers
Answer:
14 is the correct answer
Answer:
14 students were invited to the study group
Step-by-step explanation:
can i get brainliest plz
Based on the graph how many bottles will be filled in 80 seconds? 
Answers
Answer:
Below
Step-by-step explanation:
Find unit rate (since it starts at 0,0)
at 45 seconds it is 900 bottles
900 bottles / 45 seconds = 20 bottle / sec
20 bottles / sec * 80 sec = 1600 bottles
What is the present value of R13 000 p.a. invested at the beginning of each year for 8years at 10%p.a. compound interest? (NB Use the compound interest tables provided or work to three decimal places only.)
Answers
Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:
PV = A *\((1 - (1 + r)^(-n)) / r\)
Where:
PV = Present value
A = Annual payment or cash flow
r = Interest rate per period
n = Number of periods
In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).
Using the formula and substituting the given values, we can calculate the present value:
PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)
Calculating this expression:
PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)
= 13000 * (1 - 0.46318) / 0.10
= 13000 * 0.53682 / 0.10
= 6977.66 / 0.10
= 69776.6
Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.
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c. When the center of Earth is 2 x 10^11meters from the center of Mars, the force of gravity
between the two planets is about 64.32 x 10^14 newtons. The mass of Earth is about
6 x 10^24 kilograms, and the mass of Mars is about 6.4 x 10^23 kilograms. Using these
values, estimate the gravitational constant.
Answers
Answer:
When the center of Earth is 2 × 1011 meters from the center of Mars, the force of gravity between the two planets is about 64.32 × 1014 newtons. The mass of Earth is about 6 × 1024 kilograms, and the mass of Mars is about 6.4 × 1023 kilograms. Using these values, estimate the gravitational constant.
Cricket chirps in 15 seconds , please help!!!
Answers
Answer:
The y-intercept represents a temperature of 30°F when there are 0 cricket chirps.
The slope represents an additional 1 chirp for each addition 1.2°F increase in temperature.
If the number of chirps increases from 10 to 30, the temperature has increased by 24°F.
If the temperature increases from 30°F to 60°F, the number of chirps has increased by 25 chirps.
Step-by-step explanation:
The given equation of the line of best fit is y = 1.2x + 30.
This is in slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.
Therefore, for the given equation:
slope = 1.2y-intercept = 30Part (a)The y-intercept is the point at which the graph intersects the y-axis, so the y-value when x = 0. Therefore:
The y-intercept represents a temperature of 30°F when there are 0 cricket chirps.Part (b)The x-values represents the number of cricket chirps and the y-values represent the temperature in °F.
The slope tells us the rate of change of y relative to x, so the rate of change of the temperature to the number of cricket chirps.
1.2x means that for each increase of one x-value, the y-value increases by 1.2. Therefore:
The slope represents an additional 1 chirp for each addition 1.2°F increase in temperature.Part (c)To find the temperature when the number of chirps is 10, substitute x = 10 into the equation of the line and solve for y:
⇒ y = 1.2(10) + 30 = 42°F
To find the temperature when the number of chirps is 30, substitute x = 30 into the equation of the line and solve for y:
⇒ y = 1.2(30) + 30 = 66°F
Therefore, the difference in temperature is:
⇒ 66°F - 42°F = 24°F
Therefore,
If the number of chirps increases from 10 to 30, the temperature has increased by 24°F.Part (d)To find the number of chirps when the temperature is 30°F, substitute y = 30 into the equation of the line and solve for x:
⇒ 1.2x + 30 = 30
⇒ 1.2x = 0
⇒ x = 0
To find the number of chirps when the temperature is 60°F, substitute y = 60 into the equation of the line and solve for x:
⇒ 1.2x + 30 = 60
⇒ 1.2x = 30
⇒ x = 25
The difference in the number of chirps is:
⇒ 25 - 0 = 25
Therefore,
If the temperature increases from 30°F to 60°F, the number of chirps has increased by 25 chirps.what is the value of n in the equation 1.5x10^12=(5x10^5)(3x10^n
Answers
Answer:
n = 6
Step-by-step explanation:
(5 x \(10^{5}\)) ( 3 x \(10^{n}\)) = 1.5\(10^{12}\)
(5x3) (\(10^{5+n}\)) = 1.5 x\(10^{12}\)
15 x (\(10^{5+n}\)) = 1.5 x \(10^{12}\)
1.5 x \(10^{1}\) (\(10^{5+n}\)) = 1.5 X \(10^{12}\)
1.5 X \(10^{1}\) X \(10^{5+N}\) = 1.5 X \(10^{12}\)
1.5 X \(10^{1+5+N}\) = 1.5 X \(10^{12}\)
1.5 X \(10^{6 + 6}\) = 1.5 X \(10^{12}\)
1.5 X \(10^{12}\) = 1.5 X \(10^{12}\)
Veronica deposited $11 in a savings account that earns 1.9% simple interest. Which graph represents this scenario?
Answers
Answer:
Option C
Step-by-step explanation:
Initial balance= $11Interest rate = 1.9% PA simpleIt will be graphed as function:
y = 11 + 0.019xSince is has a very small slope of 0.019 it will be shown almost parallel to x axis.
Some points on the graph:
Amount in 1 year= 11*(1+0.019) = $11.21Amount in 2 years = 11*(1+2*0.019) = $11.42Amount in 6 years = 11*(1+6*0.019) = $12.25Amount in 10 years = 11*(1 + 10*0.019) = $13.09Correct graph is option C
4. A rocking horse has a weight limit of 60 pounds.
a. What percentage of the weight limit is 33 pounds?
b. What percentage of the weight limit is 114 pounds?
c. What weight is 95% of the limit?
Show your work
Answers
a. 55% of the maximum weight is 33 pounds.
b. 114 pounds is 190% of the weight limit.
c. 57 pounds is 95% of the maximum.
Answer to Part a:
Let c be the weight limit percentage for 33 pounds.
Then we have (60 x c)/100 = 33 pounds
This implies 3c/5 = 33
This means that 3c = 33 x 5 = 165.
This means that c = 165 / 3 = 55.
Therefore 55% of the weight limit is 33 pounds.
Answer to Part b:
Let d be the weight limit percentage for 114 pounds.
Then we have (60 x d)/100 = 114 pounds
This implies 3d/5 = 114
This means that 3d = 114 x 5 = 570.
This means that d = 570 / 3 = 190.
Therefore 190% of the weight limit is 114 pounds.
Answer to Part c:
95% of the weight limit is
= 95 x 60 /100
= 95 x 3/5
= 19 x 3
= 57
Therefore, 95% of the weight limit is 57 pounds.
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Certain advertisers would like to estimate the proportion of viewers who spend the majority of their television time
watching alone. The consensus is that this percentage has been increasing over the years due to the increased
number of television sets in households.
a. Determine the sample size needed to construct a 90% confidence interval with a margin of error of no more than
6% to estimate the true proportion of viewers who watch television alone.
b. What impact would a pilot sample that showed that 44% of viewers spend the majority of their television time
watching alone have on your on results.
a. The sample size needed is
(Round up to the nearest integer.)
b. The new sample size needed would be 0
(Round up to the nearest integer.)
Answers
Answer:
Step-by-step explanation:
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 4 inches? (5 points) 6 inches 8 inches 12 inches 20 inches
Answers
9514 1404 393
Answer:
12 inches
Step-by-step explanation:
The area is given by the formula ...
A = 1/2bh
Fill in the given values and solve for the height.
24 in² = 1/2(4 in)h
h = (24 in²)/(2 in) = 12 in
The height of the triangle is 12 inches.
Answer:
12 inches
Step-by-step explanation:
Area = \(\frac{1}{2}bh\)
24 = \(\frac{1}{2} * 4 * h\)
24 = 2h
h = 12 inches
Find the ordered pair/ cordinate for each number using the equation y=3x-9
Answers
Answer:
well, pick any old x, like for example x = 0
find y
0 - y = 9
y = -9
so
(0 , - 9)
now pick another x, like x = 1
3 - y = 9
y = 3-9 = -6
so
( 1 , - 6 ) and on and on until bored
Step-by-step explanation:
here are the first 5 terms of an arithmetic sequence, 2,6,10,14,18... is 86 a term in this sequence, you must give a reason for your answer
Answers
Answer: Yes
Step-by-step explanation:
Because if you keep going it will reach 86, since it's added by 4, so 18, 22, 26, 30, 34, 38, 42, 46, 50, 54, 58, 62, 66, 70, 74, 78, 82, 86.
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
Answers
The distance between the point (5,12) and the line y = 5x + 12 is 4.90 units
How to find the distance between a point and a line?
If a point P with the coordinates (x₁, y₁), and we need to know its distance from the line represented by ax + by + c = 0
Then the distance of a point from the line is given by the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
Given: the point (5,12) and the line y = 5x + 12. The line can be written as
5x-y+12 = 0. Thus:
x₁ = 5, y₁ = 12, a = 5, b = -1, c = 12. Substitute these into the formula:
d = (ax₁ + by₁ + c) / √(a² + b²)
d = (5×5 + (-1×12) + 12) / √(5² + (-1)²)
d = 25/√26 = 4.90 units
Therefore, the distance between the point and the line is 4.90 units. Option D is the answer
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