The empirical probability of rolling a 2 should approach 1/6 as the number of trials increases.
Determining the empirical probability of a 2.The empirical probability of an event is the number of times the event occurs in a given number of trials divided by the total number of trials.
Since a fair die has six equally likely outcomes, the probability of rolling a 2 on a single roll is 1/6.
Therefore, if Shawn rolls the die many times, the empirical probability of rolling a 2 should approach 1/6 as the number of trials increases.
For example, if Shawn rolls the die 100 times and gets a 2 on 16 of those rolls, the empirical probability of rolling a 2 would be:
Empirical probability = Number of times event occurred / Total number of trials
Empirical probability = 16 / 100
Empirical probability = 0.16 or 16%
The empirical probability of Shawn rolling a 2 in a die is dependent on the number of trials or rolls of the die.
As the number of trials or rolls increases, the empirical probability should approach the theoretical probability of 1/6.
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Hello, I am confused on how to answer this question.
Answer: x=14
Step-by-step explanation:
cb=10.
ac=14
The value of X will be 14.
This is a simple mathematics problem that can be solved by using ratios.
Given, AC : BC : AB = 7 : 5 : 8
AC = X ; BC = 10 ; AB = X + 2
AC/ BC = X/ 10 = 7/5 (Ratios can also be represented as fractions)
X/10 = 7/5
On Transposing,
5X = 70
X = 70/5
X = 14
Alternatively,
BC/AB = 5/8 = 10/ (X + 2)
5/8 = 10/ (X + 2)
On Transposing,
80 = 5X + 10
5X = 70
X = 14
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HELP ME PLS THIS IS A SCREENSHOT I WILL ADD MORE PONINTS
Answer:
Estimated difference: 88 - 6 = 82
Actual difference: 87.71 - 5.8 = 81.91
What is the p-value of a two-tailed one-mean hypothesis test, with a test statistic of z0=0.27? (Do not round your answer; compute your answer using a value from the table below.)
z0.10.20.30.40.50.000.5400.5790.6180.6550.6910.010.5440.5830.6220.6590.6950.020.5480.5870.6260.6630.6980.030.5520.5910.6290.6660.7020.040.5560.5950.6330.6700.7050.050.5600.5990.6370.6740.7090.060.5640.6030.6410.6770.7120.070.5670.6060.6440.6810.7160.080.5710.6100.6480.6840.7190.090.5750.6140.6520.6880.722
The p-value is 2*0.3925 = 0.7850 (rounded to four decimal places).
What is p-value?In statistics, the p-value is a measure of the evidence against a null hypothesis. It represents the probability of observing a test statistic as extreme or more extreme than the one actually observed, assuming that the null hypothesis is true.
The null hypothesis is a statement or assumption that there is no significant difference or relationship between two variables or groups in a population. The alternative hypothesis is the opposite of the null hypothesis, and it represents the claim that there is a significant difference or relationship between the variables or groups in the population.
Since this is a two-tailed one-mean hypothesis test, the p-value is the probability of observing a test statistic as extreme or more extreme than the given test statistic (in absolute value) assuming the null hypothesis is true.
The given test statistic is z0 = 0.27, which is positive. Since this is a two-tailed test, we need to find the area to the right of z0 (which is the probability of observing a test statistic as extreme or more extreme than z0) and double it to get the p-value.
From the table provided, the area to the right of z0 = 0.27 is 0.3925.
Thus, the p-value is 2*0.3925 = 0.7850 (rounded to four decimal places).
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Nora bought 100 shares of a technology stock and 200 shares of a mutual fund for $3600. Her sister, Erin, bought 300 shares of
the technology stock and 50 shares of the same mutual fund for $5300. Find the cost per share of the technology stock, and the
cost per share of the mutual fund.
The cost per share of the technology stock is $14.
What is a variable?
In mathematics, a variable is a symbol or letter that represents a value or a quantity that can change or vary in a given context or problem. Variables are used to express mathematical relationships and to formulate equations and functions.
Let's use variables to represent the cost per share of the technology stock and the mutual fund. We can call the cost per share of the technology stock "T" and the cost per share of the mutual fund "M".
From the problem, we know:
Nora bought 100 shares of the technology stock and 200 shares of the mutual fund for a total of $3600:
100T + 200M = 3600
Erin bought 300 shares of the technology stock and 50 shares of the mutual fund for a total of $5300:
300T + 50M = 5300
We now have a system of two equations with two variables. We can solve for T and M by using elimination or substitution. Here, we will use the substitution method:
From the first equation, we can isolate T by subtracting 200M from both sides:
100T = 3600 - 200M
Divide both sides by 100 to get:
T = 36 - 2M
Now substitute this expression for T into the second equation:
300(36 - 2M) + 50M = 5300
Expand and simplify:
10M = 1100
Divide both sides by 10 to get:
M = 110
So the cost per share of the mutual fund is $110.
To find the cost per share of the technology stock, we can substitute M = 110 into either of the original equations. Let's use the first equation:
100T + 200(110) = 3600
Simplify:
100T = 1400
Divide both sides by 100 to get:
T = 14
So the cost per share of the technology stock is $14.
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4. The average monthly temperatures in New
Orleans, LA has a mean absolute deviation of
43.5°F. What conclusion can you make about
the average monthly temperatures in New
Orleans, LA?
The difference between the monthly mean temperature and the average monthly temperature for New Orleans, Louisiana, is typically about 43.5°F.
Explain about the mean absolute deviation of a discrete data:Assume that the data is n-sized as follows:
x1, x2, x3 .....xn
Let the mean of this data be: x'
The mean of the absolute differences between the observations and the mean of the data to which they belong, then, is the mean absolute deviation of such a data.
It is determined by:
M.A.D = ∑ |xi - x'| / n (i = 1 ....n)
Hence, mean absolute deviation is the average deviation of the data values, regardless of whether it is above or below the mean.
Due to the fact that:
The mean absolute deviation of the monthly temperatures in New Orleans is 43.5°F, which implies that on average, the temperature deviates 43.5°F from the average monthly temperature.
where mean displays New Orleans, Louisiana's typical monthly temperature.
Thus, the difference between the monthly mean temperature and the average monthly temperature for New Orleans, Louisiana, is typically about 43.5°F.
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Find the area of the circle with a circumference of
. Write your solution in terms of
.
Area in terms of
: ______
Answer:
circumference of a circle is
[tex]2\pi\:r[/tex]
And the area of the circle is
[tex]\pi \: r {}^{2} [/tex]
20 POINTS Use the equation you wrote in problem six to complete the table. (This is already done I just need an explanation cause I don’t get it.(grade 8 work)
An equation in slope-intercept form that models the situation is y = 1.50x + 4.
The table has been completed below.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided above, an equation in slope-intercept form that models the situation is given by;
y = mx + c
y = 1.50x + 4
When x = 2, the total cost (y) is given by;
y = 1.50(2) + 4
y = $7.
When x = 4, the total cost (y) is given by;
y = 1.50(4) + 4
y = $10.
When x = 6, the total cost (y) is given by;
y = 1.50(6) + 4
y = $13.
When x = 8, the total cost (y) is given by;
y = 1.50(8) + 4
y = $16.
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Use the diagram to copy the statement.
[ AGBDFE]
It’s complicated and I don’t know where to start
Thus, for the given similar triangles-
11. ΔCAG ≈ Δ CEF (Angle-Angle similarity)
12. ΔACB ≈ ΔCED (Angle-Angle similarity)
13. ∠ACB = ∠ECD = 92° (vertical angles)
17. BC = √32
Explain about the similar triangle:Congruent triangles and similar triangles are two distinct but closely related concepts. Similar triangles are any two or more triangles having the identical proportions of their corresponding sides, an equal pair with corresponding angles, and their similar shape.
For the given values:
11. ΔCAG ≈ Δ CEF (Angle-Angle similarity)
∠ACG = ∠ECF (vertical angles)
∠GAC= ∠CEF (alternate interior angles)
12. ΔACB ≈ ΔCED (Angle-Angle similarity)
∠ACB = ∠ECD (vertical angles)
∠BAC = ∠CED (alternate interior angles)
13. m∠ECD = ?
In Δ ACB
53 + 45 + ∠ACB = 180
∠ACB = 180 - 98
∠ACB = 92
∠ACB = ∠ECD = 92° (vertical angles)
17. BC = ?
BC² = GB² + GC²
BC² = 4² + 4²
BC = √32
14. m∠ECF = m∠GCA (vertical angles)
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Complete question:
For the following figure- Determine:
11. ΔCAG ≈
12. ΔACB ≈
13. m∠ECD = ?
17. BC = ?
Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The answer are in angle m∠5+m∠6=180°,m∠2+m∠3=m∠6,m∠2+m∠3+m∠5=180°.
What is angle?Angle is a geometric concept that is used to describe the relationship between two lines or planes. It is measured in degrees, with a full circle being 360 degrees. Angles are used in mathematics to measure the size of a shape and the amount of turn between two lines. In physics, angles are used to describe the force of friction, the direction of a force, and the direction of light. Angles can also be used to describe the orientation of objects in space.
case A) we have
m∠5+m∠3=m∠4 ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary by angles
m∠4=180°-m∠3 ----> equation B
substitute the equation- B in equation A
m∠5+m∠3=180°-m∠3
m∠5+m∠3+m∠3=180°
This equation is true when m∠2=m∠3
therefore
Is not always true
case B) we have
m∠3+m∠4+m∠5=180° ----> equation A
we know that
m∠3+m∠4=180° -----> by supplementary to angles
m∠4=180°-m∠3 ----> equation B
substitute equation B in equation A
m∠3+(180°-m∠3)+m∠5=180°
m∠5=0°
This option is not true
case C) we have
m∠5+m∠6=180°
we know that
m∠5 and +m∠6 are supplementary angles
so
Their sum is always 180 degrees
therefore
This option is always true
case D) we have
m∠2+m∠3=m∠6 -----> equation A
we know that
m∠5+m∠6=180° ----> by supplementary angles
m∠6=180°-m∠5 ----> equation B
substitute equation B in equation A
m∠2+m∠3=180°-m∠5
m∠2+m∠3+m∠5=180°
Remember that the sum of any of tAnswer:
Step-by-step explanation:
he interior angles that of a triangle must be equal to 180 degrees
therefore
This option is true for sure
case E) we have
m∠2+m∠3+m∠5=180°.
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complete the vector to describe the transformation
The translation vector for the rectangle is described by T(x, y) = (- 3, - 6).
How to derive the translation vector of an entire figure
In this problem we must derive the translation vector between a rectangle and its image set on Cartesian plane (let assume that the origin is on the lower left corner of the square). The translation formula is:
B(x, y) = A(x, y) + T(x, y)
Where:
A(x, y) - Coordinates of the original point.B(x, y) - Coordinates of the image.T(x, y) - Translation vector.If we know that A(x, y) = (6, 9) and B(x, y) = (3, 3), then the translation vector is:
T(x, y) = B(x, y) - A(x, y)
T(x, y) = (3, 3) - (6, 9)
T(x, y) = (- 3, - 6)
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A choir teacher is dividing 36 sopranos and 30 altos into singing groups. He wants each group
to have the same combination of sopranos and altos, with no singers left over. What is the
greatest number of groups he can make?
groups
In the given problem, solving the problem systematically, the greatest number of groups the teacher can make is 6.
How to Find the Greatest Number?To form groups with the same combination of sopranos and altos, we need to find the greatest common divisor (GCD) of the numbers of sopranos and altos. Then, we can divide the total number of singers by the GCD to find the maximum number of groups.
The GCD of 36 and 30 is 6 (you can find it by listing the factors and finding the greatest one that they have in common: 36=2x2x3x3 and 30=2x3x5, so GCD=2x3=6).
So, we can form groups of 6 sopranos and 5 altos. Each group would have 6 + 5 = 11 singers.
To find the maximum number of groups, we divide the total number of singers by the number of singers per group:
(36 + 30) / 11 = 66 / 11 = 6
Therefore, the greatest number of groups the teacher can make is 6.
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A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom
The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.
What are subjects?Subjects are the different sets of information which is studied.
9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.
The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.
Thus, the correct option is C, 9th graders in her school.
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The product of two numbers is 2420 and their LCM is 110.Find the HCF
of the two numbers.
Answer: Let the two numbers be x and y. We know that:
x*y = 2420 ---(1)
LCM(x, y) = 110 ---(2)
We can write the LCM as:
LCM(x, y) = (x*y)/HCF(x, y)
Substituting the given values, we get:
110 = (x*y)/HCF(x, y)
Multiplying both sides by HCF(x, y), we get:
HCF(x, y) * 110 = x*y
Substituting equation (1), we get:
HCF(x, y) * 110 = 2420
Dividing both sides by 110, we get:
HCF(x, y) = 2420/110
HCF(x, y) = 22
Therefore, the HCF of the two numbers is 22.
Step-by-step explanation:
Fresh Produce, Inc. buys white button mushrooms for $0.87 a pack. The selling price is $1.50 a pack. What is the markup rate based on the selling price?
5 points
30%
22%
45%
42%
The markup rate based on the selling price is 42%.
What is markup rate?Markup rate is the percentage of the selling price that is added to the cost price to determine the final selling price. It is calculated as (selling price - cost price) / cost price x 100%.
In the given question,
The markup rate based on the selling price is:
Markup rate = ((Selling price - Cost price) / Selling price) x 100%
Markup rate = (($1.50 - $0.87) / $1.50) x 100%
Markup rate = (0.63 / 1.50) x 100%
Markup rate = 42%
Therefore, the markup rate based on the selling price is 42%.
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can anyone help me with this?
Answer:
The surface area is 65.94 ft
Find the volume of the cube shown 
Answer:125 meters
Step-by-step explanation:
volume of a cube is w^3
w=5
5*5*5
125 meters
Peanuts sell for Php 10.00 per gram. Cashews sell for Php 8.00 per gram. How many grams of cashews should be mixed with 12 g of peanuts to obtain a mixture that sells for Php 9.00 per gram?
PEANUTS CASHEWS MIXTURE Number of Grams (g) 12 X 12+ X Price per grams Php 10.00 Php 8.00 Php 9.00 Total Price Phn10x12 = Php 120 8x 9 [12+x]
Answer:
Phn10x12
Step-by-step explanation:
PEANUTS CASHEWS MIXTURE Number of Grams (g) 12 X 12+ X Price per grams Php 10.00 Php 8.00 Php 9.00 Total Price Phn10x12 = Php 120 8x 9 [12+x]
In the figure below, find the exact value of y. (Do not approximate your answer.)
y
Landon and Maria are meeting at the library to work on their history project. Maria walks 9 blocks east and 3 blocks north to get to the library from her house. Landon walks 5 blocks south and 7 blocks west to get to the library from his house. The map below shows the location of the library and Landon's and Maria's houses. To the nearest block, how far is Landon's house from Maria's house if Maria could walk in a straight line?
To the nearest block, Landon's house is at distance of 12 blocks away from Maria's house if Maria could walk in a straight line.
What is Pythagoras theorem?A basic mathematical theorem relating to the sides of a right-angled triangle is known as Pythagoras' theorem. The square of the length of the hypotenuse, the side that faces the right angle, is said to be equal to the sum of the squares of the lengths of the other two sides, known as the legs, in a right triangle.
This can be written in mathematical notation as:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs of the right triangle.
In this case, we can consider the straight line between Maria's house and Landon's house as the hypotenuse of a right triangle, with the distances they walked as the other two sides. We can use the distance formula to find the lengths of those sides:
Distance walked by Maria = √(9² + 3²) = √90 ≈ 9.49 blocks
Distance walked by Landon = √(5² + 7²) = √74 ≈ 8.60 blocks
Now we can use the Pythagorean theorem to find the distance between their houses:
Distance between houses = √(9.49² + 8.60²) ≈ 12.46 blocks
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What is the value of x?
Answer:
55°
Step-by-step explanation:
the total sum of a triangle is 180.
75+50= 125
180-125= 55
& since x is an acute angle we know x is less than 90.
Need help with is question
Answer:
27.78%
Step-by-step explanation:
To calculate the percentage of the total spending that is on rent, we need to divide the amount spent on rent by the total amount spent, and then multiply by 100 to get the percentage.
Total spending = food + rent + other + fun
Total spending = $400 + $500 + $600 + $300
Total spending = $1800
So, the percentage of the total spending that is on rent is:
($500 / $1800) x 100% = 27.78%
Therefore, approximately 27.78% of the total spending is on rent.
Suppose that 19,665$ is invested at an interest rate of 6.8% per year, compounded continuously.
a) Find the exponential function that describes the amount in the account after time t, in years.
b) What is the balance after 1 year? 2 years? 5 years? 10 years?
c) What is the doubling time?
helppppppp
Answer: a) The exponential function that describes the amount in the account after time t, in years, is given by:
A(t) = Pe^(rt)
where P is the initial amount invested, r is the annual interest rate (as a decimal), and e is the mathematical constant approximately equal to 2.71828.
Substituting the given values, we get:
A(t) = 19665e^(0.068t)
b) To find the balance after 1 year, we substitute t = 1 in the above formula:
A(1) = 19665e^(0.068*1) = $20,983.88
To find the balance after 2 years, we substitute t = 2:
A(2) = 19665e^(0.068*2) = $22,429.45
To find the balance after 5 years, we substitute t = 5:
A(5) = 19665e^(0.068*5) = $29,137.27
To find the balance after 10 years, we substitute t = 10:
A(10) = 19665e^(0.068*10) = $43,127.22
c) The doubling time can be found using the formula:
t = ln(2)/r
where ln is the natural logarithm function. Substituting the given values, we get:
t = ln(2)/0.068 ≈ 10.20 years
Therefore, the doubling time is approximately 10.20 years.
Step-by-step explanation:
What fractions are close to 1 than to 0
The answer of the given question based on the fraction is , a value that is greater than 1/2.
What is Fraction?A fraction is mathematical expression that represents part of whole or ratio between the two numbers. It is expressed in the form of a ratio of two integers, with a numerator and a denominator separated by a horizontal or slanted line called a fraction bar.
Fractions that are closer to 1 than to 0 have a value that is greater than 1/2. This is because 1/2 is exactly halfway between 0 and 1 on the number line.
So, any fraction that has a numerator greater than its denominator is closer to 1 than to 0. For example:
2/3 is closer to 1 than to 0 because it is greater than 1/2
7/8 is closer to 1 than to 0 because it is greater than 1/2
3/4 is closer to 1 than to 0 because it is greater than 1/2
On the other hand, fractions that have a value less than 1/2 are closer to 0 than to 1. For example:
1/4 is closer to 0 than to 1 because it is less than 1/2
3/10 is closer to 0 than to 1 because it is less than 1/2
2/5 is closer to 0 than to 1 because it is less than 1/2
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Edwin has been saving money from his part-time job at Benson's Burger Shack. He put $932
into a new high-yield savings account that earns 2% interest annually.
Write an exponential equation in the form y = a(b)* that can model the amount of money in
Edwin's account, y, x years after starting the account.
Uco whole numbers decimale or simplified fractions for the values of a and b. If Edwin makes no other deposits or withdrawals, after how many years will his account have more than $1,000?
Answer: y = 932 (1.02)^x
Step-by-step explanation:
Which equation shows how to find a percentage?
O
part
10
=
percent
100
part
100
=
percent
10
percent
whole
=
part
whole
percent
whole
part
whole
The equation that shows how to find a percentage is:
part/whole = percent/100
This equation can be used to solve for any of the three variables, given the values of the other two.
Solve the equations using suntraction. Show all your work.
X-6y=11 and 2x-5y=1
Helpppp
The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain after 2000 years? -------------
If a sample contains 300 mg, 129.6 mg of Radium-226 will remain after 2000 years.
What is half life?The period of time it takes for half of the radioactive atoms in a sample to decay is known as the half-life. This means that if you start with a given amount of a radioactive chemical, half of it will have decayed after one half-life, and so on. After two half-lives, just one quarter will be left.
A radioactive substance's half-life, which is one of its distinguishing characteristics, can be used to forecast how quickly it will degrade over time. Scientists can compute a radioactive substance's half-life and use it to infer the age of rocks and fossils by measuring how much of the radioactive substance is still there after a predetermined period of time.
The radioactive decay is given by the formula:
[tex]N(t) = N_0 * (1/2)^{(t/T)}[/tex]
Substituting the given values we have:
[tex]N(2000) = 300 * (1/2)^{(2000/1590)}[/tex]
N(2000) ≈ 129.6 mg
Therefore, approximately 129.6 mg of Radium-226 will remain after 2000 years.
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4p + 1 < −11 or 6p + 3 > 39
The solution to the compound inequality 4p + 1 < −11 or 6p + 3 > 39 is p > 6 or p > -3.
What is compound inequality?A compound inequality is a mathematical statement that involves two or more inequalities joined by either the word "and" or "or". The solution set of a compound inequality is the set of all values that satisfy both (in the case of "and") or either (in the case of "or") of the individual inequalities.
According to question:Let's solve each inequality separately:
4p + 1 < −11
Subtracting 1 from both sides, we get:
4p < -12
Dividing both sides by 4 (and remembering to flip the inequality because we are dividing by a negative number), we get:
p > -3
So the solution to the first inequality is:
p > -3
Now let's look at the second inequality:
6p + 3 > 39
Subtracting 3 from both sides, we get:
6p > 36
Dividing both sides by 6, we get:
p > 6
So the solution to the second inequality is:
p > 6
Therefore, the solution to the compound inequality 4p + 1 < −11 or 6p + 3 > 39 is:
p > 6 or p > -3
This can be written more simply as:
p > -3
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55 Points! Multiple choice algebra question. State the number of real zeros for the function whose graph is shown. Photo attached. Thank you!
Answer:
(C) 1
Step-by-step explanation:
In a function, a real zero is where the function is equal to zero, or:
[tex]f(x)=0[/tex]
which can be rewritten as:
[tex]y=0[/tex]
which is essentially the y-intercept.
Recall that the y-intercept of a graph is where the graph crosses the y-axis (the x-coordinate is equal to 0).
We can see that the graph only crosses the y-axis at one point, meaning it only has one y-intercept, meaning it has only one real zero.
Thus, the answer is (C), 1
Consider the two-node circuit shown below:
The node voltages V₁ and V₂ (in volts) satisfy the following system of equations:
15V₁ = 7V₂ + 60
3V₂ + 10 = 3V₁
a) Write the system of equations in the matrix form AV-B, where V = [V1, V2]
b) Find V₁ and V₂ using the matrix algebra method. Perform all matrix computations and show all steps.
a) The system of equations can be written in the matrix form AV-B as: | -3 3 | | V2 | | -10 |
b) V1 = 369/22 volts and V2 = -51/22 volts.
What is matrix?A matrix is a rectangular array of numbers or symbols, arranged in rows and columns. Matrices are often used in mathematics, science, engineering, and other fields to represent and manipulate data, perform operations, and solve equations. The size of a matrix is determined by the number of rows and columns it contains, and is usually written in the form "m x n", where "m" is the number of rows and "n" is the number of columns. Matrices can be added, subtracted, multiplied, transposed, and inverted, and can be used to represent a wide range of mathematical objects, including systems of linear equations, transformations, and graphs.
a) The system of equations can be written in the matrix form AV-B as:
| 15 -7 | | V1 | | 60 |
| | x | | = | |
| -3 3 | | V2 | | -10 |
b) To solve for V1 and V2 using matrix algebra, we can use the inverse of matrix A as follows:
AV = B
V = A⁻¹B
First, let's find the inverse of matrix A:
A = | 15 -7 |
| -3 3 |
To find the inverse of A, we need to calculate the determinant of A:
det(A) = (15)(3) - (-7)(-3) = 66
Then, we can find the inverse of A as follows:
A⁻¹ = (1/det(A)) x | 3 7 |
| 3 15 |
Now, we can solve for V by multiplying A⁻¹ and B:
| V1 | | 3 7 | | 60 | | 369/22 |
| | = | | x | | = | |
| V2 | | 3 15 | |-10 | | -51/22 |
Therefore, V1 = 369/22 volts and V2 = -51/22 volts.
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