Find a set of vectors {u,v} in R4 that spans the solution set of the equations:
w-x+2y-2z=0
4w+2x+y+z=0

Answer:s

see attachment

Step-by-step explanation:

Answer:

D) Angle angle angle

The value of x is approximately 2.8462° and the value of maN is 37°.

To find the value of x and maN, we need to use the given information. According to the question, maN is equal to (13x)°.
To solve for x, we can set up an equation:
maN = (13x)°
Now, since we know that maN is equal to 37°, we can substitute this value into the equation:
37° = (13x)°
To isolate x, we divide both sides of the equation by 13:
37° / 13 = (13x)° / 13
This simplifies to:
2.8462° ≈ x°
Therefore, the value of x is approximately 2.8462°.
Now, let's find the value of maN. We already know that maN is equal to (13x)°. Substituting the value of x that we just found, we get:
maN = (13 * 2.8462)°
Simplifying the multiplication:
maN = 37°
So, the value of maN is 37°.
For more such questions on approximately

https://brainly.com/question/28521601

#SPJ8

Answer:

55042

Step-by-step explanation:

Answer:

55042

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

The serving sizes, \(x\), of 20, 80, and 120 have a required amount of meat in pounds, \(y\), of \(y=\frac{1}{10}x\) (the number of pounds of meat is equal to 1/10th the serving size)

However, for the row with a serving size of 40, the number of pounds of meat is equal to \(\frac{6}{40}=\frac{3}{20}\) the serving size. Therefore, the serving size of 40 has a different ratio of serving size to pounds of meat than the other ratios.

Answer:

Sales Price = $8.75

Step-by-step explanation:

Original Price - Discount = Sale Price

=> 12.50 - 3.75 = Sales Price

=> Sales Price = $8.75

Hoped this helped.

To sketch the curves in the z-plane and their images under w = z², we analyze each equation individually. For (a), (b), (c), and (d), the curves are lines or circles in the z-plane.

The equation |z - 1| = 1 represents a circle centered at (1, 0) with radius 1 in the z-plane. Under w = z², the circle transforms into a parabolic shape. The equation x = 1 represents a vertical line at x = 1 in the z-plane. Under w = z², the line transforms into a parabola that opens to the right. The equation y = 1 represents a horizontal line at y = 1 in the z-plane. Under w = z², the line transforms into a parabola that opens upwards.

The equation y = x + 1 represents a straight line with a slope of 1 and y-intercept at (0, 1) in the z-plane. Under w = z², the line transforms into a parabola. The equation y² = x² - 1, x > 0 represents the right branch of a hyperbola in the z-plane. Under w = z², the hyperbola transforms into a parabolic shape.  The equation y = 1/x, x ≠ 0 represents a rectangular hyperbola in the z-plane. Under w = z², the hyperbola transforms into a curve that consists of two branches. By analyzing the transformations under w = z², we can visualize how the curves in the z-plane are mapped to the w-plane.

Learn more about parabolic here: brainly.com/question/14003217

#SPJ11

Answer:

(a) 11.64%

(b) 8.15%

Step-by-step explanation:

Airborne airlines has an annual interest of payment= $102

Principal payment= $1,000

Time to maturity= 20 years

Current price of the bond= $880

The formular for calculating the yield on maturity is

[ Annual interest payment+Principal payment-(price of the bond/number of years to maturity)] / 0.6(price of the bond) + 0.4(principal payment)

(a) [102+(1000-880)/20)]/ [0.6(880) + 0.4(1000)]

= [102+ (120/20)]/ [528+400]

= [102+6]/ 928

= 108/928

= 11.637%

= 11.64% ( to 2 decimal places)

(b) Kd= Yield(1-T)

Kd= 11.64(1-0.30)

Kd= 11.64×0.7

Kd= 8.145%

Kd= 8.15%( to 2 decimal places)

Hence the yield to maturity on the new issue is 11.64% and the aftertax cost of debt is 8.15%

To determine the 90% confidence interval for the mean repair cost for the TVs, we can use the formula:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

Where:

Sample Mean = $91.78

Standard Deviation = $23.13

Sample Size = 44

Critical Value (z-value) for a 90% confidence level = 1.645 (obtained from a standard normal distribution table)

Standard Error = Standard Deviation / (\(\sqrt{Sample Size}\))

Standard Error = $23.13 / \(\sqrt{44}\)= $23.13 / 6.633 = $3.49 (rounded to two decimal places)

Confidence Interval = $91.78 ± (1.645 * $3.49)

Upper Bound = $91.78 + (1.645 * $3.49) = $91.78 + $5.74 = $97.52 (rounded to two decimal places)

Lower Bound = $91.78 - (1.645 * $3.49) = $91.78 - $5.74 = $86.04 (rounded to two decimal places)

Therefore, the 90% confidence interval for the mean repair cost for the TVs is approximately $86.04 to $97.52.

Learn more about confidence interval here:

brainly.com/question/2141785

#SPJ11

Answer:  < -4/5,  3/5>

This is equivalent to writing < -0.8, 0.6 >

======================================================

Explanation:

Draw an xy grid and plot the point (-4,3) on it. Draw a segment from the origin to this point. Then draw a vertical line until reaching the x axis. See the diagram below.

We have a right triangle with legs of 4 and 3. The hypotenuse is \(\sqrt{4^2+3^2} = \sqrt{16+9} = \sqrt{25} = 5\) through use of the pythagorean theorem.

We have a 3-4-5 right triangle.

Therefore, the vector is 5 units long. This is the magnitude of the vector.

Divide each component by the magnitude so that the resulting vector is a unit vector pointing in this same direction.

Therefore, we go from < -4, 3 > to < -4/5,  3/5 >

This is equivalent to < -0.8, 0.6 > since -4/5 = -0.8 and 3/5 = 0.6

Side note: Unit vectors are useful in computer graphics.

Based on the relationship of angles and sides of a triangle, the correct comparison is: B. m∠C < m∠S.

The relationship between the length of a triangle and its opposite length are relative in such a way that the largest angle will be opposite to the longest side while the smallest angle will be opposite to the shortest side of the triangle.

Given the image attached below that shows triangles ABC nd TRS, we are also given that:

Length of RT is greater than length of BA, invariably, it means the angle that is opposite to side RT will be greater than the angle that is opposite to side BA.

Therefore, in comparing angle C and S, the correct statement is:

B. m∠C < m∠S

Learn more about the relationship of angles and sides on:

https://brainly.com/question/13823623

#SPJ1

The value of x is 15

The value of y is 7.

The unknown sides:

x = 15

5y - 3 = 33

y + 9 = 16

x - 2 = 13

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Similar triangles mean the ratios of the corresponding sides are equal.

Now,

(5y - 3)/(y + 9) = 30/x = 26/(x - 2)

Taking two ratios.

(5y - 3)/(y + 9) = 30/x

5xy - 3x = 30y + 270

Taking two ratios.

30/x = 26/(x - 2)

30x - 60 = 26x

30x - 26x = 60

4x = 60

x = 15

Now,

Substituting x = 15

5xy - 3x = 30y + 270

5 x 15 x y - 3 x 15 = 30y + 270

75y - 45 = 30y + 270

75y - 30y = 270 + 45

45y = 315

y = 7

Now,

x = 15

5y - 3 = 35 - 3 = 33

y + 9 = 7 + 9 = 16

x - 2 = 15 - 2 = 13

Thus,

x is 15 and y is 7.

The unknown sides are 15, 33, 16, and 13.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ1

Answer:

1162 tickets will need to be sold

Step-by-step explanation:

8134 / 7 = 1,162

Answer:

N = 15

Step-by-step explanation:

2n = 3(n-5)

2n = 3n - 15

15 = 3n - 2n

15 = n

2N = 3(N - 5) is the mathematical expression of the given phrase.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

The product of N and 2 is = 2N

The difference between N and 5 is = N - 5

3 times the difference of N and 5 = 3(N - 5)

Both are equal so

2N = 3(N - 5) will be the expression.

Hence "2N = 3(N - 5) is the mathematical expression of the given phrase".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ2

Thus, the possible values for d are 10, 11, and 12. The sum of all possible values of d is 10 + 11 + 12 = 33.

The given integer has 4 digits when written in base 8, meaning its general form can be represented as: N = a * 8^3 + b * 8^2 + c * 8^1 + d * 8^0, where 0 ≤ a, b, c, d ≤ 7.

Since N has 4 digits, a must be nonzero, so 1 ≤ a ≤ 7.

Now, we need to find the number of digits (d) when this integer is written in base 2. To do so, we first express the integer in terms of powers of 2.

N = a * (2^3)^3 + b * (2^3)^2 + c * (2^3)^1 + d * (2^3)^0
N = a * 2^9 + b * 2^6 + c * 2^3 + d

Since 1 ≤ a ≤ 7, the minimum value for a is 1 and the maximum value is 7. Therefore, the smallest possible value for N in base 2 is 1 * 2^9 (which has 10 digits in base 2) and the largest possible value is 7 * 2^9 + 7 * 2^6 + 7 * 2^3 + 7 (which has 12 digits in base 2).

Thus, the possible values for d are 10, 11, and 12. The sum of all possible values of d is 10 + 11 + 12 = 33.

Know more about the integer

https://brainly.com/question/929808

#SPJ11

Answer:

C

Step-by-step explanation:

\(\frac{6y }{x^{8} } . \frac{4y}{x^{14} }\\\\\frac{24y^{2} }{x^{8+14} } \\\\\frac{24y^{2} }{x^{22} }\)

Answer:

i think it is the third one.

Step-by-step explanation:

Answer:

first choice: ⁴√200 / 2

Step-by-step explanation:

√10 / ⁴√8 = ((√10)*(⁴√2)) / ((⁴√2³)*(⁴√2))  

                = (⁴√100 * ⁴√2) / (⁴√2⁴)

                = ⁴√200 / 2

Answer:

\( 5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}\)

Step-by-step explanation:

Answer:

the distaance would be 4.9 miles

Step-by-step explanation:

You have to use pythagorean theorem. 5squared plus squared equals one squared. work this equation and you get 4.89 rounded its 4.9.

a. To calculate a 95% confidence interval for b0, you need the necessary statistical information and data from Exercise 11.7.

b. The interpretation of H0: b0 = 0 for the problem in Exercise 11.7 needs to be explained.

c. You need to test the hypotheses H0: b0 = 0 versus Ha: b0 ≠ 0.

d. The p-value of the test of H0: b0 = 0 needs to be determined.

a. To calculate a 95% confidence interval for b0, you would need to refer to the Minitab output for the data provided in Exercise 11.7. The confidence interval would give you a range of values within which the true value of b0 is likely to fall with 95% confidence.

b. The interpretation of the null hypothesis H0: b0 = 0 in the context of Exercise 11.7 would suggest that there is no significant relationship between the presence of pectin and the firmness of canned sweet potatoes. It implies that the coefficient b0, representing the effect of the pectin concentration, is not significantly different from zero.

c. To test the hypotheses H0: b0 = 0 versus Ha: b0 ≠ 0, you would typically perform a hypothesis test using the estimated coefficient b0, the standard error, and the appropriate test statistic (e.g., t-test or z-test). The test would assess whether the coefficient b0 is significantly different from zero, indicating a significant effect of pectin concentration on firmness.

d. The p-value of the test of H0: b0 = 0 would quantify the strength of evidence against the null hypothesis. A small p-value (typically less than the significance level, such as 0.05) would indicate strong evidence to reject the null hypothesis and conclude that there is a significant relationship between pectin concentration and firmness.

Learn more about hypotheses

brainly.com/question/28331914

#SPJ11

The expected value (μ) of the given probability distribution is 6.60.

To compute the expected value, we need to multiply each value of x by its corresponding probability and sum up the results.

Expected Value (μ) = Σ(x * P(x))

Using the given probability distribution:

x | p(x)

5 | 0.27

6 | 0.23

7 | 0.23

8 | 0.17

9 | 0.10

10 | 0.00

Expected Value (μ) = (5 * 0.27) + (6 * 0.23) + (7 * 0.23) + (8 * 0.17) + (9 * 0.10) + (10 * 0.00)

Expected Value (μ) = 1.35 + 1.38 + 1.61 + 1.36 + 0.90 + 0

Expected Value (μ) = 6.60

Therefore, the expected value (μ) of the given probability distribution is 6.60.

Know more about  expected value   here:

https://brainly.com/question/14723169

#SPJ11

To compute the expected value, we need to multiply each value in the probability distribution by its corresponding probability and then sum them up.

In the given probability distribution, we have the following values and probabilities:

x | p(x)

5 | 0.27

6 | 0.23

7 | 0.23

8 | 0.17

9 | 0.10

10 | 0.00

To compute the expected value, we multiply each value (x) by its corresponding probability (p(x)) and then sum up the products:Expected Value (μ) = (5 * 0.27) + (6 * 0.23) + (7 * 0.23) + (8 * 0.17) + (9 * 0.10) + (10 * 0.00) Simplifying the calculation, we get: μ = 1.35 + 1.38 + 1.61 + 1.36 + 0.90 + 0 = 6.60. Therefore, the expected value (mean) of the given probability distribution is 6.60. The expected value represents the average value or central tendency of a random variable. In this case, it provides an estimate of the typical value we can expect from the random variable described by the probability distribution. It is obtained by weighing each value by its probability and summing them up.

It's important to note that the expected value does not necessarily have to be one of the actual values in the probability distribution. In this case, the expected value of 6.60 suggests that, on average, the random variable tends to be closer to 7 rather than any other value in the distribution.

To learn more about probability distribution click here:

brainly.com/question/15930185

#SPJ11

The agreement is greater than 2, it means that the experimental value is not in agreement with the accepted value.

In this case, the most relevant error propagation rule is the product or quotient rule.

The gravitational acceleration formula is: `g=h^2/(D*A)`.

The uncertainty associated with A is given as `0.1052 ± 0.0019 m/s²`.

Substituting the given values of D, h, and A in the gravitational acceleration formula, we get:

`g = (0.022 m)^2/[(1.05 m)*(0.1052 m/s²)] = 1.97 m/s²`.c)

The product rule for error propagation is given by:

`δz = |z| × √[(δx/x)² + (δy/y)²]`.

Here, `z = g,

x = A,

y = h^2/D`.

Substituting the given values, we get:

`δg = |1.97 m/s²| × √[(0.0019 m/s² ÷ 0.1052 m/s²)² + (2 × 0.001 m ÷ 0.022 m)²] ≈ 0.13 m/s²`.

The final answer in the form `g ± δg` is `1.97 ± 0.13 m/s²`.

Since we have three significant figures in our initial values, the answer should also have three significant figures.

The confidence is given by: `C = 1 - |(g - 9.79)/δg|`.

Substituting the values, we get: `C = 1 - |(1.97 - 9.79)/0.13| ≈ 0`

The confidence tells us that the experiment is not very accurate as the confidence level is 0.

The agreement with the accepted value is given by:

`A = |g - 9.79|/δg`.

Substituting the values, we get: `A = |1.97 - 9.79|/0.13 ≈ 60.31`.

Since the agreement is greater than 2, it means that the experimental value is not in agreement with the accepted value.

To know more about product visit :

brainly.com/question/29198114

#SPJ11

Answer:

1. Area: 24.96 cm^2. Perimeter: 24.2 cm

2. Area: 63.86 cm^2. Perimeter: 35.2 cm

Step-by-step explanation:

1: The area of a parallelogram is equal to base x height. The base is 3.2, and the height is 7.8. 3.2 x 7.8 is equal to 24.96 cm^2. The perimeter of a parallelogram is 2(width + length). The width is 3.2, and the length is 8.9. 2(3.2 + 8.9) = 2(12.1) = 24.2 cm.

2: The area of a parallelogram is equal to base x height. The base is 10.3, and the height is 6.2. 10.3 x 6.2 = 63.86 cm^2. The perimeter of a parallelogram is 2(width + length). The width is 10.3, and the length is 7.3. 2(10.3 + 7.3) = 2(17.6) = 35.2 cm.

The occurrence is known as Simpson's paradox.

What is Cross tabulation?

The quantitative analysis of the relationship between several variables is done through cross tabulation. Cross tabulation, also referred to as contingency tables or cross tabs, groupings variables to reveal the relationships between them. It also demonstrates how correlations vary depending on which group of variables are used.

When the conclusions based upon the aggregated crosstabulation can be completely reversed if we look at the unaggregated data, the occurrence is known as Simpson's paradox.

To know more about the cross tabulation, click on the link

https://brainly.com/question/13513919

#SPJ4

The area of the rectangular garden = 96 square feet.

Area of rectangle = (length)(width).

Given the following:

Area of old rectangular garden = 24 square feet

One side of the original rectangular garden = 6 feet

The other side of the old/original rectangular garden = 24/6 = 4 feet.

Length of the new rectangular garden = 2(6) = 12 feet

Width of the new rectangular garden = 2(4) = 8 feet

Area of the rectangular garden = (12)(8)

Area of the rectangular garden = 96 square feet.

Learn more about the area of rectangle on:

https://brainly.com/question/25292087

#SPJ1

Answer:

$ 25.92

Step-by-step explanation:

Hi there !

100 % .............. $ 24

108 % ................$ x

x = 108×24/100

= 2592/100

= $ 25.92

Good luck !

Answer:

Step-by-step explanation:

given:

A shoe store marks up its merchandise by 8%.

find:

What was the selling price of a pair of shoes whose wholesale price is $24.00?

solution:

selling price = wholesale price x (1 + percentage)

                    = $24  x  ( 1 + 0.08)

                    = $25.92

The probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.

To find the probability of P(A1|B1), we can use Bayes' theorem:

P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)

Given that A1 and A2 are complements, P(A2) can be calculated as 1 - P(A1), which means P(A2) = 0.7.

We are given P(B1|A1) = 0.6 and P(B1|A2) = 0.5.

Now, to calculate P(B1), we can use the law of total probability:

P(B1) = P(B1|A1) * P(A1) + P(B1|A2) * P(A2)

Substituting the given values, we get:

P(B1) = (0.6 * 0.3) + (0.5 * 0.7)

= 0.18 + 0.35

= 0.53

Finally, we can calculate P(A1|B1) using Bayes' theorem:

P(A1|B1) = (P(B1|A1) * P(A1)) / P(B1)

= (0.6 * 0.3) / 0.53

≈ 0.375

Therefore, the probability of A1 occurring given B1 is approximately 0.375, rounded to three decimal places.

Learn more about probability visit:

brainly.com/question/31828911

#SPJ11

Answer:

slope=y2-y1/x2-x1

where y2= 12, y1=7, x2=6, x1=3

12-7/6-3

= 5/3

therefore slope=5/3