12.1.38 Find two vectors parallel to v with three times the magnitude of v v=(7,-3) Select the correct two vectors below. □ A. (-21,9) □B. 7 3 58 58 -7 3 158、158 n| □E· (9,-21) AT Click to select your answer(s) and then click Check Answer

The standard deviation of the data set will increase by a factor of 10. This is because standard deviation measures how much variation or dispersion exists from the mean of a data set. Adding 10 to every value of the data set will increase the overall spread of the data and thus increase the standard deviation.  

To prove this mathematically, let's consider a data set A with mean M and standard deviation SD. Let's add 10 to every value of the data set to get a new data set B. The mean of set B is M+10 and the standard deviation of set B is SD'.   The formula for SD' is:  

SD':\(\sqrt{(x_{1} -(M+10))^{2} +(x_{2} -(M+10))^2+ (x_{3}-(M+10))^2 +...+ (x_{n}-(M+10))^2)/n }\) We can simplify this by substituting the values for the xi:

 SD' =\(\sqrt{(((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n) }\)  Now let's consider the original data set A and its standard deviation SD:

 SD =\(\sqrt{(((x_{1}-M)^2 + (x_{2}-M)^2 + (x_{3}-M)^2 +...+ (x_{n}-M)^2)/n) }\) ,We can substitute the values for xi in this formula as well:  

SD= \(\sqrt{ (((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n)}\)  If we compare SD and SD', we can see that they are identical, except that the value of M has been replaced with M+10. This means that when we add 10 to every value of the data set, the standard deviation increases by a factor of 10.

To know more about  standard deviation refer to the link brainly.com/question/23907081

#SPJ4

Answer:

hmmmm i saw something about 13?????

Step-by-step explanation:

Answer:

I think it is 1343.69.

Step-by-step explanation:

The length of diagonal AB is approximately 24.4 inches.

We have,

If we assume that the pennant is a right triangle with one of the legs being 14 inches (the short edge) and the other leg is unknown, we can use the Pythagorean theorem to find the length of the diagonal.

According to the Pythagorean theorem,

14² + x² = 24²

where x is the length of the other leg (the one we are trying to find).

Solving for x,

x² = 24² - 14²

x² = 400

x = 20

The length of the other leg of the triangle is 20 inches, and using the Pythagorean theorem, we can find the length of the diagonal:

AB = √(14² + 20²) = √(596) ≈ 24.4 inches

Thus,

The length of diagonal AB is approximately 24.4 inches.

Learn more about the Pythagorean theorem here:

https://brainly.com/question/14930619

#SPJ1

Using area of regular Polygon, the perimeter of the total grazing area of regular polygon is 100 feet and the cost to place a fence around the entire grazing area is $795.

According to the question,

You need to create a fenced off region of land for cattle to graze. The grazing area must be a total of 500 square feet, surrounded by a fence, and in the shape of a regular polygon.

Within this grazing area, the length of the apothem must be 10 feet long.

The formula of the area of regular polygon = ap/2  

Where a is apothem and p is the perimeter.  

500 = 10 x p/2  

1,000 = 10 x p  

100 = p

Hence the perimeter of regular polygon the total grazing area is 100 feet.  

Now cost of fencing 1 foot = $7.59  

So, cost of fencing 100 feet = 7.59 x 100 = 759

Hence, the cost to place a fence around the entire grazing area of polygon is $795.

Learn more about polygon here

https://brainly.com/question/13310667

#SPJ4

Answer:

top left

Step-by-step explanation:

a) The break-even points for the given cost and revenue functions are approximately x = 16.526 and x = 6.474.

b) The break-even points for the given cost and revenue functions are approximately x = 12.225 and x = 62.775.

c) The maximum profit for the given cost and revenue functions is approximately $843.75.

a) To find the break-even points, we need to determine the values of x where the total costs (C(x)) equal the total revenues (R(x)). We set C(x) = R(x) and solve for x:

C(x) = R(x)

1760 + 8x + 0.6x² = 100x - 0.4x²

Combining like terms and rearranging the equation, we get:

1x² - 92x + 1760 = 0

Solving this quadratic equation, we find two solutions for x:

x ≈ 16.526

x ≈ 6.474

b) Similarly, we set C(x) = R(x) and solve for x:

900 + 25x = 100x - x²

Rearranging the equation, we get:

x² - 75x + 900 = 0

Solving this quadratic equation, we find two solutions for x:

x ≈ 12.225

x ≈ 62.775

c) To find the maximum revenue, we need to determine the vertex of the revenue function R(x) = 100x - x². The x-coordinate of the vertex is given by x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -1 and b = 100. Plugging in the values, we get:

x = -100 / (2 * -1) = 50

Substituting this value back into the revenue function, we find:

R(50) = 100(50) - (50)² = 5000 - 2500 = 2500

Therefore, the maximum revenue for the given cost and revenue functions is $2500.

To find the maximum profit, we need to subtract the total costs from the total revenues. Given that the cost function is C(x) = 900 + 25x, the profit function is P(x) = R(x) - C(x). Substituting the revenue and cost functions, we have:

P(x) = (100x - x²) - (900 + 25x)

P(x) = -x² + 75x - 900

To find the maximum profit, we need to determine the vertex of the profit function. Using the same formula as before, we find:

x = -75 / (2 * -1) = 37.5

Substituting this value back into the profit function, we find:

P(37.5) = -(37.5)² + 75(37.5) - 900 ≈ 843.75

To learn more about break-even points click on,

https://brainly.com/question/32090652

#SPJ4

1. The gross income will be $264.

2. The federal tax will be $52.80.

3. The state tax will be $15.84.

4. The social security will be $7.03

5. The total deduction will be $85.67

6. The net pay is $178.33

Federal taxes =  20% of gross earnings

state taxes = 6% of gross earnings

social security deduction = 6.45% of gross earnings

Gross Income = $8.25 × 32

Gross Income = $264

Federal Tax will be

Federal Tax = 20% × $264

Federal Tax = $52.80

State Tax will be

State Tax =  6%  × $264

State Tax = $15.84

Social Security  will be

Social Security = 6.45% × $264.00  

Social Security =  $17.03

Total Deduction will be as

Total Deduction = Federal Tax + State Tax + Social Security

Total Deduction = $52.80 + $15.84  + $17.03

Total Deduction = $85.67

Net Pay = Gross Income - Total Deduction

Net Pay = $264.00- $85.67

Net Pay = $178.33

Learn more about tax on:

https://brainly.com/question/25783927

#SPJ1

Answer: yo we have a problem

Step-by-step explanation:

im in 10th grade and i cant answer this problem 0.0

Answer:

A is correct answer

Here, we want to write an equation for a depreciation

The general form is;

V is the present value in 2005

I is the initial value in 1990 which is 34,400

r is the decrease rate which is 1.7/100 = 0.017

t is the difference in years which is 2005-1990 = 15

Substituting these values, we have

V = 34,400(1-0.017)^15

V = 22,407.65 km^2

To learn more about linear regression refers to

https://brainly.com/question/23268467

#SPJ1

To solve the system of equations y=4x-3 and y=-2x+9, we can set the two equations equal to each other and solve for x:

4x - 3 = -2x + 9

Adding 2x and 3 to both sides, we get:

6x = 12

Dividing both sides by 6, we get:

x = 2

Now that we have the value of x, we can substitute it into either of the original equations to find the corresponding value of y. Let's use the first equation:

y = 4x - 3

y = 4(2) - 3

y = 8 - 3

y = 5

Therefore, the solution to the system of equations is x = 2 and y = 5. The solution is the ordered pair (2, 5).

The measure of the missing side length x in the right triangle is approximately 18.8 units.

The figure in the image is a right triangle.

Angle θ = 37 degrees

Adjacent to angle θ = 25 units

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

SOHCAHTOA

Note that: TOA → tangent = opposite / adjacent.

Hence:

tan( θ )  = opposite / adjacent

Plug in the values:

tan( 37 ) = x / 25

Solve for x by cross multiplying:

x = tan( 37 ) × 25

x = 18.838

x = 18.8 units

Therefore, the value of x is approximately 18.8.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

After factorising the given expression we have the factors:

a) = 3(x + 4m)

b) = 6h(h + 3a)

Expanding brackets in reverse is a process known as factorising. Fully factorising an expression entails putting it in brackets by eliminating the factors with the highest common denominator.

The easiest method of factoring is:

Factorisation:

a) 3x+12m

= 3(x + 4m)

b) 6h²+18ah​

6h(h + 3a)

Thus, After factorising the given expression we have the factors:

a) = 3(x + 4m)

b) = 6h(h + 3a)

Learn more about factorising

https://brainly.com/question/20293447

#SPJ1

Answer:

54,436.004 and 247,892.984

Step-by-step explanation:

Answer:

third and fourth

Step-by-step explanation:

If customers bought an item after viewing their website on "certain-day" with 90% "confidence-level" and 5% "margin-of-error", then the number of customers they have to monitor is 264.

To estimate the proportion of customers who bought an item after viewing the retailer's website, the retailer needs to conduct a sample survey.

To determine the "sample-size" needed for the survey, we use the formula:

⇒ n = [Z² × p × (1 - p)]/E²,

where : n is = sample-size of customer,

Z is = z-score associated with confidence-level (90% confidence level corresponds to a z-score of 1.645),

p is = estimated proportion of customers who bought an item (in this case it is 58% = 0.58),

E is = margin-of-error (5% = 0.05),

Substituting the values,

We get,

⇒ n = [1.645² × 0.58 × (1 - 0.58)]/0.05²,

⇒ n = 263.67 ≈ 264,

Therefore, They have to monitor 264 customers.

Learn more about Confidence Level here

https://brainly.com/question/26962316

#SPJ4

Answer: X equals 14

The surface area of one of the pieces formed by the plane parallel to edges AB and CD and lying halfway between them in a regular tetrahedron with side length 2 is **4√3 square units**.

To find the surface area of one of the pieces, we need to calculate the area of the triangular face of the tetrahedron that is cut by the plane.

Since the tetrahedron is regular, all four triangular faces are congruent equilateral triangles. The side length of each triangular face is equal to the side length of the tetrahedron, which is given as 2 units.

To find the area of an equilateral triangle, we can use the formula A = (√3/4) * s^2, where A is the area and s is the side length. Plugging in s = 2 into the formula, we get A = (√3/4) * (2^2) = √3 square units.

Therefore, the surface area of one of the pieces is 4 times the area of the triangular face, which is 4 * √3 = 4√3 square units.

Know more about surface area here:

https://brainly.com/question/2835293

#SPJ11

If an indifference curve is straight, the marginal rate of substitution (MRS) is indeed constant.

The MRS represents the rate at which a consumer is willing to exchange one good for another while maintaining the same level of satisfaction. A straight indifference curve means that the consumer is indifferent between two goods, regardless of the quantity of each good they have. Therefore, the MRS between these goods remains constant, regardless of the quantity of each good consumed. On the other hand, if an indifference curve is bowed inward, the MRS is not constant and changes as the consumer moves along the curve. Yes, if an indifference curve is straight and does not bow inward, it implies that the marginal rate of substitution (MRS) is constant. In this case, the consumer is willing to substitute one good for another at a fixed rate, regardless of the quantity of goods consumed. This constant MRS reflects the consumer's equal preference for both goods, and thus, the indifference curve remains linear.

To know more about MRS visit:

https://brainly.com/question/30763866

#S[PJ11

Step-by-step explanation:

the simplest way to explain the transformation is a reflection across the x-axis and then a translation down by 4 units.

for the first (reflection across the x-axis) we only need to flip the sign (multiply by -1) of the functional result.

for the second we need them to subtract 4 from every functional value.

so, we get

g(x) = -f(x) - 4

Answer:

y= 1/4x + 8

comparing with

y= mx + c

slope = 1/4

for y intercept x=0

y=8

Step-by-step explanation:

The slope of the line is 1/4, The y-intercept is 8.

In the equation y = (1/4)x + 8, the coefficient of x is 1/4. This coefficient represents the slope of the line.

Therefore, the slope of the line is 1/4.

The equation is in the form y = mx + b, where m represents the slope and b represents the y-intercept.

In this equation, the y-intercept is the value of y when x is 0. By substituting x = 0 into the equation, find the y-intercept.

y = (1/4)(0) + 8

= 0 + 8

= 8

Hence, the y-intercept is 8.

To know more about line here

https://brainly.com/question/30003330

#SPJ6

The measure of the inscribed angle is equal to 90 degrees

The inscribed angle theorem mentions that the angle inscribed inside a circle is always half the measure of the central angle or the intercepted arc that shares the endpoints of the inscribed angle's sides. In a circle, the angle formed by two chords with the common endpoints of a circle is called an inscribed angle and the common endpoint is considered as the vertex of the angle.

In this problem, the side length of the square is 5 which forms 90 degrees to all the other sides.

The measure of the circumscribed angle is 90 degree

Learn more on inscribed angle here;

https://brainly.com/question/3538263

#SPJ1

The indefinite integral of (7 - eu)^2 du is 49u - 14(e^u)/1 + e^2u/2 + C.

The indefinite integral of (7 - eu)^2 du is:

∫(7 - eu)^2 du = ∫(49 - 14eu + e^2u) du = 49u - 14(e^u)/1 + e^2u/2 + C

To evaluate the indefinite integral of (7 - eu)^2 du, we use the formula for integrating powers of exponential functions, which states that ∫e^au du = (1/a)e^au + C, where C is the constant of integration. By applying this formula, we can expand the given expression and integrate term by term.

First, we expand (7 - eu)^2 using the binomial theorem, which gives us 49 - 14eu + e^2u. Then, we integrate each term using the formula above, which gives us 49u - 14(e^u)/1 + e^2u/2 + C, where C is the constant of integration.

Therefore, the indefinite integral of (7 - eu)^2 du is 49u - 14(e^u)/1 + e^2u/2 + C.

Learn more about indefinite integral here

https://brainly.com/question/27419605

#SPJ11

Answer

linear

nonproportional

Step-by-step explanation:

Since for each equal change in time (1 week), there is an equal change in weight (5 lb), the situation is linear.

At time zero, the first week, the weight was not zero. It was 60 lb, so it is not proportional.

Answer:

linear

nonproportional

To find the answer, we use the formula:

Number of times on time = Probability of being on time x Number of classes

Substituting the given values, we get:

Number of times on time = 0.75 x 32

Number of times on time = 24

Therefore, the best estimate of the number of times out of 32 that Lou is on time to class is 24.

Learn more about Probability

brainly.com/question/30034780

#SPJ11

The number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

The payment of car washing per hour = $10

The payment for landscaping = $12

Total number of hours worked = 14  hours

Number of hours worked in car washing = x

Number of hours worked in landscaping = y

Then the first equation will be

x + y = 14

x = 14 - y

Total amount he earned = $152

Next equation will be

10x + 12y = 152
Here we have to use substitution method

10(14-y) + 12y = 152

140 - 10y +12y = 152

140 + 2y = 152

2y = 152 - 140

2y = 12

y = 12/2

y = 6 hours

Then

x = 14 - y

x = 14 -6

x = 8  hours

Hence, the number of hours Jackson worked washing cars is 8 hours and the number of hours he worked landscaping is 6 hours

Learn more about substitution method here

brainly.com/question/14619835

#SPJ1

We have demonstrated the definition of an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two equal-length sides in geometry. It is sometimes specified as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter version including the equilateral triangle as a special case.

The isosceles triangle has both two equal sides and two equal angles. The name derives from the Greek iso (same) and Skelos (leg). A triangle with all sides equal is called an equilateral triangle, and a triangle with no sides equal is called a scalene triangle.

The given diagram shows an isosceles triangle.

Hence, we have demonstrated the definition of an isosceles triangle.

To learn more about an isosceles triangle, visit:

https://brainly.com/question/1475130

#SPJ4

The area of the rectangle with a height of 222 and a width of 5x^2 - 2x + 35 is given by the expression 1110x^2 - 444x + 7770.

The rectangle has a height of 222 and a width of 5x^2 - 2x + 35.

To find the area of the rectangle, we multiply the height by the width. Let's substitute the given values:

Area = height * width

Area = 222 * (5x^2 - 2x + 35)

To simplify the expression, we can distribute the 222 to each term within the parentheses:

Area = 222 * 5x^2 - 222 * 2x + 222 * 35

Now, let's further simplify each term:

Area = 1110x^2 - 444x + 7770

Therefore, the area of the rectangle with a height of 222 and a width of 5x^2 - 2x + 35 is given by the expression 1110x^2 - 444x + 7770.

Learn more about rectangle here

https://brainly.com/question/25292087

#SPJ11

Answer:

-7/5

Step-by-step explanation:

It is given that,

→ (-4/5) + (-3/5) = ?

Let's solve the problem,

→ (-4/5) + (-3/5)

→ (-4/5) - (3/5)

→ (-4 - 3)/5 = -7/5

Thus, the answer is -7/5.