Consider again the linear system Ax = b used in Question 1. For each of the methods men- tioned below perform three iterations using 4 decimal place arithmetic with rounding and the initial
approximation x°) = (0.5, 0, 0, 2)*.
By examining the diagonal dominance of the coefficient matrix, A, determine whether the
convergence of iterative methods to solve the system be guaranteed.

The ratio of the number of eggs in three boxes to the total number of eggs is 1: 15 in its simplest terms.

Suppose the real measurements were "a" and "b". Then their ratio will be formed as;

\(\dfrac{a}{b} = \dfrac{p \times x}{q \times x} = \dfrac{p}{q}\)

where is a common factor (not 1)? This shows that to get the real measurements from the given ratio, we need to assume to have some factor possibly canceled from both the numerator and the denominator.

Thus, a = px, b = qx

We have given that farmer 30 boxes of eggs. and there are 6 eggs in each box.

Thus, we know that the total number of eggs is the same as the number of eggs given in 30 boxes.

Hence, the ratio will be;

2: 30,

then divide both sides by 2 ;

1: 15

Therefore, the ratio of the number of eggs in three boxes to the total number of eggs is 1: 15 in its simplest terms.

Learn more about ratios here:

brainly.com/question/186659

#SPJ2

The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.

Option C is correct

The probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is given by the binomial probability formula:

P(X = k) = (n choose k) \(* p^k * (1-p)^(n-k)\)

where X is the random variable representing the number of heads, n is the total number of coin flips, k is the number of heads obtained, and p is the probability of getting a head on any individual flip.

Since we are assuming that the coin is fair, p = 0.5. Let's say you flipped the coin n times and obtained k heads. Then the probability of obtaining exactly k heads with a fair coin is:

P(X = k) = (n choose k \(* 0.5^k * ()1-0.5)^(n-k)\)

We don't know what n or k are, so we can't compute the exact probability. However, we can use the fact that the coin is fair to get an estimate. If we assume that the number of heads obtained is roughly half of the total number of flips, then k = n/2. Plugging this into the formula, we get:

\(P(X = n/2) = (n choose n/2) * 0.5^(n/2) * (1-0.5)^(n/2)\)

Simplifying this expression, we get:

\(P(X = n/2) = (n choose n/2) * 0.5^n\)

Now, we want to find the probability of obtaining exactly as many heads as we just obtained. Let's say we flipped the coin 10 times and obtained 5 heads. Then we want to find P(X = 5), which is:

P(X = 5) = (10 choose 5) \(* 0.5^5 * (1-0.5)^(10-5)\) = 0.2461

Therefore, the probability of obtaining exactly as many heads as you just obtained if your coin is the fair coin is 0.2461.

Option C is correct

To know more about probability. here

https://brainly.com/question/24756209

#SPJ4

Answer:

work is shown and pictured

The least squares approximating line y=zo + zıx is y = 1.80 - 1.00x.

Least squares is a method used to approximate the line of best fit for a set of data points.

In the first set of data points, (1, 1), (3, 2), (4, 3), (6, 4), the least squares approximating line for this set of data points is y = 0.78 + 0.84x.

For the second set of data points, (2, 4), (4, 3), (7, 2), (8, 1), the process is the same.

The least squares approximating line for this set of data points is y = 2.47 - 0.18x.

The least squares approximating line for the third set of data points, (-1, -1), (0, 1), (1, 2), (2, 4), (3, 6), is y = 0.33 + 1.33x.

The least squares approximating line for the fourth set of data points, (-2, 3), (-1, 1), (0, 0), (1, -2), (2, -4), is y = 1.80 - 1.00x.

To know more about lines here.

https://brainly.com/question/25727583

#SPJ4

Answer:

the amswer is c

Step-by-step explanation:

The statement that is correct about the simple shortest path problem is: The problem is ill-posed if the graph contains a negative-length cycle.

If the graph has a negative-length cycle, the shortest path will loop around that cycle an infinite number of times and, as a result, it is difficult to find the shortest path.

The Simple Shortest Path problem is a popular algorithmic issue in computer science. It is well-known that this issue may be solved in O(m log n) time using a variety of algorithms.

Dijkstra’s algorithm is a simple algorithm that is usually used to solve this issue. This algorithm works by maintaining a set of vertices that have already been visited while also maintaining a heap with all of the vertices that have yet to be explored.

The algorithm then picks the vertex with the lowest cost from the heap and processes all of its neighbours.

The cost of each neighbour is calculated by adding the weight of the edge connecting the current vertex to the neighbour vertex to the cost of the current vertex.

To learn more about : graph

https://brainly.com/question/19040584

#SPJ8

To combine like terms in the expression 2.5x + (-5x) - 2.5, we need to add or subtract the coefficients of the terms with the same variable.

In this case, we have two terms with the variable "x": 2.5x and -5x. The coefficients of these terms are 2.5 and -5, respectively.

Combining the like terms, we get:

2.5x + (-5x) - 2.5

Since (-5x) is equivalent to subtracting 5x, we can rewrite the expression as:

2.5x - 5x - 2.5

To simplify this further, we can subtract the coefficients:

(2.5 - 5)x - 2.5

Simplifying the coefficients, we have:

(-2.5)x - 2.5

Finally, we can write the expression as:

-2.5x - 2.5

To learn more about coefficients visit;

https://brainly.com/question/28975079

#SPJ11

We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 35,325 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

\(V=\frac{4}{3} \pi r^3\), where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \(\frac{15}{2}=7.5\) cm.

\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times(7.5 \ \text{cm})^3\)

\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times421.875\ \text{cm}^3\)

\(\text{Volume of one candle}=1766.25\ \text{cm}^3\)

Now we will divide 35,325 cubic cm of wax by volume of one candle.

\(\text{Number of candles}=\frac{35,325 \ \text{cm}^3}{1766.25 \ \text{cm}^3}\)

\(\text{Number of candles}=\frac{35,325 }{1766.25 }\)

\(\text{Number of candles}=20\)

Therefore, 20 candles can be made from 35,325 cubic cm of wax.

Answer:

IV has the greatest value mean

Step-by-step explanation:

I) Mean is -3

II) Mean  is 0

iii) Mean is .3

IV) Mean is 1

Answer:

D would be the right answer

Answer:

oh! thanks for points

but this is yr question or what????

Answer:

20

Step-by-step explanation:

because it would stay the same

Answer:

B) c=25

Step-by-step explanation:

7^2+24^2=25^2

The probability of obtaining either two kings or at least one ace when two cards are randomly drawn from a standard deck is 0.0724.

To calculate the probability of getting two kings, we consider that there are 4 kings in a standard deck of 52 cards. When the first card is selected, the probability of it being a king is 4/52.

After one king has been selected, there are 3 kings remaining in the remaining 51 cards. Therefore, the probability of drawing a second king is 3/51.

To obtain the probability of two kings occurring, we multiply the probabilities together: (4/52) * (3/51).

Now let's consider the probability of getting at least one ace. Since there are 4 aces in the deck, the probability of not drawing an ace on the first card is 48/52 (as there are 48 non-ace cards out of 52 remaining after drawing the first card).

To calculate the probability of getting at least one ace, we subtract the probability of not getting an ace from 1: 1 - (48/52) = 4/52.

To determine the probability of either event occurring, we add the probabilities calculated in the previous steps: (4/52) * (3/51) + (4/52) = 1/221 + 1/13 = 16/221.

Therefore, the probability of either two kings or at least one ace occurring when two cards are randomly drawn from a standard deck is approximately 0.0724, or 16/221.

Learn more about probability

https://brainly.com/question/31828911

#SPJ11

The probability of either two kings or at least one ace occurring when two cards are selected randomly from a standard deck is 0.0724.

Probability of getting two kings:

There are 4 kings in a standard deck. When the first card is selected, the probability of getting a king is 4/52.

After one king has been selected, there are 3 kings left in the remaining 51 cards. The probability of selecting a second king is 3/51.

Probability of two kings = (4/52) * (3/51)

Probability of getting at least one ace:

There are 4 aces in a standard deck. The probability of not getting an ace on the first card is 48/52.

Therefore, the probability of getting at least one ace is 1 - (48/52) = 4/52.

To calculate the probability of either event occurring, we can add the probabilities from steps 1 and 2:

Probability of two kings or at least one ace = (4/52) * (3/51) + (4/52) = 1/221 + 1/13 = 16/221 ≈ 0.0724

Therefore, the probability of either two kings or at least one ace occurring when two cards are selected randomly from a standard deck is approximately 0.0724.

More on probability can be found here: https://brainly.com/question/32117953

#SPJ4

Answer:

1%

Step-by-step explanation:

Interest gain would be   9880 - 9500 = 380 dollars

9500 * i * 4 yrs = 380

  i = .01     or  1%

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

Learn more about function  here: brainly.com/question/30721594

#SPJ11

The total number of ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering are :

49! - 48!

To find out how many ways there are to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering, follow these steps:

1. Since 17 must be first, there are 49 remaining numbers (2 to 50, excluding 17) to order.
2. There are 49! (49 factorial) ways to order these remaining numbers.
3. However, we must subtract the cases where 11 occurs last in the ordering. In those cases, there would be 48 remaining numbers (excluding 17 and 11) to order, resulting in 48! (48 factorial) ways.
4. Therefore, the total number of ways to order the numbers as required is 49! - 48!.

So, there are 49! - 48! ways to order the numbers 1 through 50 so that 17 occurs first in the ordering and 11 does not occur last in the ordering.

To learn more about factorial visit : https://brainly.com/question/25997932

#SPJ11

Answer:

The answer is c.

Answer:

396

Step-by-step explanation:

22 x 18 = 396

Final answer 396.

According to Gustavo's measurement, 2100 steps make up 1 mile for him.

Based on the information given, Gustavo determined that for him, a certain number of steps make up 1 mile. One day, Gustavo walked 6300 steps, which he determined to be equivalent to 3 miles.

To find the conversion factor between steps and miles, we can divide the total number of steps walked by the number of miles covered:

Conversion factor = Total steps / Total miles

Conversion factor = 6300 steps / 3 miles

To calculate the conversion factor:

Conversion factor = 2100 steps/mile

Therefore, according to Gustavo's measurement, 2100 steps make up 1 mile for him.

Visit here to learn more about Conversion factor brainly.com/question/23510660

#SPJ11

The inequalities that represent the problem is 5h + 2.50t ≤ 60

Each hamburger costs $5 and each taco costs $2.50.

He has a total of $60 to spend on hamburgers and tacos.

The inequalities that would be used to  represent the possible values for the number of hamburgers purchased, h, and the number of tacos purchased, t is as follows:

Therefore,

h = number of hamburgers purchased

t = the number of tacos purchased

Hence,

5h + 2.50t ≤ 60

Therefore, the inequalities that represent the problem is 5h + 2.50t ≤ 60

learn more on inequality here: https://brainly.com/question/27506356

#SPJ1

Answer:

The numbers that when multiplied give 15 and when added give -12 are -3 and 5. Multiplying -3 by 5 gives -15, and adding -3 and 5 gives -8.

Explanation:

To find the numbers that when multiplied give 15 and when added give -12, we need to find two numbers that multiply to give -15 and add to give -12. One pair of numbers that satisfy these conditions is -3 and 5. When multiplied, -3 and 5 give -15, and when added, -3 and 5 give -8.

Answer:

I am pretty sure one

Step-by-step explanation:

x is being multiplied by 2

x is being cubed

Answer:

one solution at 2.924

Step-by-step explanation:

i graphed it and saw how many times the curve crossed the x-axis

Answer:

12,670,000,000-I think if its moving right one

Step-by-step explanation:

1In unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The standard form of the equation of the circle can be given as,

\((x-h)^2+(y-k)^2=r^2\)

Here (h,k) is the center of the circle and (r) is the radius of the circle.

For the first problem,

\(x^2+(y+2)^2=64\)

Rewrite the equation to make it the equation of circle as,

\((x-0)^2+(y-(-2))^2=8^2\)

Compare it with equation of circle, we get center at (0,-2) and radius of 8 units. Similarly, the center and radius for each of the equation can be found out.

Thus, in unit 10 circles homework 9 standard form of a circle in all things' algebra, the center is (0,-2) and radius is 8 units.

Learn more about the equation of circle here;

https://brainly.com/question/1506955

#SPJ1

Answer: Nicole rented the scooter for 10 days.

Step-by-step explanation:

50 + 25 = 75 (Day 1)

75 + 25 = 100 (Day 2)

100 + 25 = 125 (Day 3)

125 + 25 = 150 (Day 4)

150 + 25 = 175 (Day 5)

175 + 25 = 200 (Day 6)

200 + 25 = 225 (Day 7)

225 + 25 = 250 (Day 8)

250 + 25 = 275 (Day 9)

275 + 25 = 300 (Day 10)

Answer:

Step-by-step explanation:

16/28

The answer is:

4/7

Work/explanation:

To find an equivalent fraction for 8/14, we will reduce it to its lowest terms, by dividing both its numerator and its denominator by 2:

\(\sf{\dfrac{8\div2}{14\div2}}\)

\(\sf{\dfrac{4}{7}}\)

Hence, a fraction equivalent to 8/14 is 4/7.

The thing to remember is that it's by far not the only option. In fact, there are infinite options. You can't divide anymore, but you can multiply 8/14 by 2, 3, 4, etc. As long as you multiply the numerator and the denominator by the same number, you'll get an equivalent fraction.

Answer:

Step-by-step explanation:

Wee

Answer:

2/9

Step-by-step explanation:

i just took a test with this exact question, and the answer was 2/9

youre welcome future learners ;)

Answer:

0.92

Step-by-step explanation:

always equals 1.0

1.0 - 0.08 = 0.92

Step-by-step explanation:

N/100×40=10

N=10×100/40=25

2.

60%of homework=45min

1%of homework=45/60=3/4min

100%of homework =3/4 ×100=75 min