PLEASSSEEEE HELPPPP

WXYZ has vertices W(6,2), X(3,7), Y(-1,4), and Z(4,-2)

a)Find perimeter
b)Find the perimeter of the image of WXYZ after dilation of 1/2 centered at origin and compare it to perimeter of WXYZ

Given: students at a local college were asked about their post graduation plans.

find:(a) probability a students plans to move out of state and take a job in private industry.

(b)probability of student plans to leave the state or work in private industry but not both

(c) how many students do not plan to work in private industry leave the state.

Explanation:(a) the probability of a student plans to move out of the state and take a job in private industry is

(b) the probability of the students plans to leave the state or work in private industry but not both is

(c) the number of students do not plan to work in private industry leave the state is 1800.

The Average proportional failure of the instructors is 0.10

From the question  we are told that

Sample size 100  

Instructor    Number of Failures  

Prof. A         13

Prof. B         0

Prof. C         11

Prof. D         16

Confidence level= 0.95

From Z table

Z=1.96

Generally proportion for failure is mathematically given as

proportion of failure = number of failure/ sample size

Prof A

Pa = 13/100

Pa = 0.13

Prof B

Pb = 0/100 = 0

Prof c

Pc = 11/100 = 0.11

Prof D

Pd = 16/100 = 0.16

Average proportional failure = (0.13 + 0.16 + 0.11 +0)/4 = 0.10

Therefore the Range is 0.0412 to 0.1588

Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options

Therefore, the Average proportional failure of the instructors is 0.10

To learn more about proportionality refer here

https://brainly.com/question/12242745

#SPJ4

The pythagorean theorem establish that:

where c is the hypotenuse, a and b are the legs of the right triangle.

In this case then:

Solving for x we have:

Therefore, x=15.

Answer:22 because thats what each chart says

Step-by-step explanation:

a. 35 miles per hour (mph) is equal to 15.6464 meters per second (m/s).

b. 3 cubic meters (m^3) is equal to 105.944 cubic feet (ft^3).

c. 100 pounds per day (lb/day) is equal to 0.011479 grams per second (g/s).

d. 10ft5in (10'5") is equal to 3.175 meters (m).

e. An acceleration of 9.8 m/s^2 is equal to 3,051.18 ft/min^2.

a. To convert miles per hour to meters per second, we need to multiply the value by a conversion factor. The conversion factor is 0.44704 m/s per 1 mph. Therefore, 35 mph multiplied by 0.44704 m/s per 1 mph gives us 15.6464 m/s.

b. To convert cubic meters to cubic feet, we need to multiply the value by a conversion factor. The conversion factor is approximately 35.3147 ft^3 per 1 m^3. Therefore, 3 m^3 multiplied by 35.3147 ft^3 per 1 m^3 gives us 105.944 ft^3.

c. To convert pounds per day to grams per second, we need to multiply the value by a conversion factor. The conversion factor is approximately 0.000011479 g/s per 1 lb/day. Therefore, 100 lb/day multiplied by 0.000011479 g/s per 1 lb/day gives us 0.011479 g/s.

d. To convert feet and inches to meters, we need to convert both measurements to a common unit. 10 feet is equal to 3.048 meters. Additionally, 5 inches is equal to 0.127 meters. Adding these two values together, we get 3.048 + 0.127 = 3.175 meters.

e. To convert meters per second squared to feet per minute squared, we need to multiply the value by a conversion factor. The conversion factor is approximately 196.85 ft/min^2 per 1 m/s^2. Therefore, 9.8 m/s^2 multiplied by 196.85 ft/min^2 per 1 m/s^2 gives us 3,051.18 ft/min^2.

Learn more about cubic meters here:

https://brainly.com/question/30344308

#SPJ11

C)The greatest number is 8.2 × 10-3. It is 2,000 times greater than the smallest number.

In scientific notation, a number is written as the product of a number between 1 and 10 and a power of 10. The power of 10 tells us how many places to move the decimal point to the right (if the exponent is positive) or to the left (if the exponent is negative).

In this case, 8.2 × 10-3 means 8.2 × (10^-3) = 0.0082, 5.2 × 10-6 means 5.2 × (10^-6) = 0.0000052 and 4.1 × 10-6 means 4.1 × (10^-6) = 0.0000041.

To compare the numbers, we can compare the coefficient or the number in front of the 10 power. We can see that 8.2 is greater than 5.2 and 4.1. To check how many times greater the smallest number is, we can use the following formula: (greatest number / smallest number) = (8.2 / 0.0000041) = 2,000

Therefore, the greatest number is 8.2 × 10-3 and it is 2,000 times greater than the smallest number.

For more questions like Scientific notation click the link below:

https://brainly.com/question/21289208

#SPJ4

]

A standard score of 89 is considered below average because it is 11 points lower than the mean, which is a deviation of more than 0.7 standard deviations below the mean.

A standard score of 89 is considered below average because it falls below the mean score of 100. This is because it is 11 points lower than the mean, which is a deviation of more than 0.7 standard deviations below the mean. The standard deviation is a measure of the spread of the data, where higher values indicate more spread out data. In this case, the mean score of 100 has a standard deviation of 15, which means that any score lower than 85 (100 - 15) is considered below average. A score of 89 is 11 points below the mean, which is a deviation of more than 0.7 standard deviations. This indicates that it is lower than the average score, and therefore considered below average.

Learn more about standard deviation here

https://brainly.com/question/13905583

#SPJ4

\((a) {11}^{a} = 1331 \\ = > {11}^{a} = {11}^{3} \\ = > a = 3\)

\((b) {2}^{b} = \frac{1}{128} \\ = > {2}^{b} = (\frac{1}{2} ) ^{7} \\ = > {2}^{b} = {2}^{ - 7} \\ = > b = - 7\)

\((c) {9}^{c} = 243 \\ = > {3}^{2 \times c} = {3}^{5} \\ = > {3}^{2c} = {3}^{5} \\ = > 2c = 5 \\ = > c = \frac{5}{2} \\ = > c = 2.5\)

\((d) {10}^{d} = 0.01 \\ = > {10}^{d} = \frac{1}{100} \\ = > {10}^{d} =( \frac{1}{10} ) ^{2} \\ = > {10}^{d} = {10}^{ - 2} \\ = > d = - 2\)

Hope it helps.

Do comment if you have any query.

The solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

The expression is given as:

one half cubed − 2 ÷ square root of 64

Rewrite the expression properly as follows:

(1/2)^3 − 2/√64

Take the square root of 64

(1/2)^3 − 2/8

Evaluate the quotient of 2 and 8

(1/2)^3 − 1/4

Take the cube of 1/2

1/8 - 1/4

Evaluate the difference

-1/8

Hence, the solution to one half cubed − 2 ÷ square root of 64 is negative one eighth

Read more about expressions at:

https://brainly.com/question/723406

#SPJ1

- 1/8

Step-by-step explanation:

hope this helps

Answer:

Here we have the sequence:

6, 12, 18, 24

We can assume that this is an arithmetic sequence, this is, the difference between any two consecutive terms is always the same, D.

To check this, let's find the difference between the consecutive terms:

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

So we can conclude that this is an arithmetic sequence, and the difference between any two consecutive terms is always 6.

a) Then the next number in the sequence will be equal to the previous number plus 6, this is:

24 + 6 = 30

The next number in the sequence is 30

b) The term-to-term rule is the rule that defines the n-th term based on the previous terms.

Here we already know that each term in this sequence is the previous one plus six, so we can write this as:

Aₙ = Aₙ₋₁ + 6

c) The position-to-term rule is the general one.

Here we need to know that, the first term, A₁ = 6

Then, the n-th term will be A₁ plus (n - 1) times 6.

Then the rule is:

Aₙ = A₁ + (n - 1)*6

Replacing A₁ by its value, the rule becomes:

Aₙ = 6 + (n - 1)*6

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Answer:

We cant see the full image.

Step-by-step explanation:

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

Know more about NPV here:

https://brainly.com/question/32720837

#SPJ11

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

To know more about marginal utility related question visit:

https://brainly.com/question/30841513

#SPJ11

Answer:

If quartic means x to the fourth then it is quartic.

Answer:

the answer is quartic

Step-by-step explanation:

\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)

Answer:

c= √ a^2 + b^2

Step-by-step explanation:

The value of c is √ a^2 + b^2.

We have given that,

The Pythagorean Theorem, given by the formula a^2 + b^2 = c^2, relates the three sides of a right triangle.

We have to determine the value of the c.

The theorem state that, a^2 + b^2 = c^2,

Where a,b, and c are sides of the triangle.

Taking square root on both sides

c= √ a^2 + b^2

Therefore the value of c is √ a^2 + b^2.

To learn more about the Pythagorean theorem visit:

https://brainly.com/question/343682

#SPJ2

We are given a horizontal curve on a two-lane highway with a radius of 610 meters. We also know that the shortest distance between station PC and station PT is 400 meters, and station PT is located at 0+500. The stations are PC: 0+100 and PI: 0+710.

In the second paragraph, we will explain the steps to find the stations PC and PI:

To find the station of PC, we start from station PT and subtract the shortest distance of 400 meters. Since station PT is located at 0+500, we subtract 400 from it to get PC. Therefore, PC is located at 0+100.

Next, to find the station of PI, we need to consider the geometry of the curve. The point PI is located at the point of tangency between the curve and the tangent at station PC. Since the curve is horizontal, the tangent at PC is perpendicular to the curve. The distance from PC to PI is equal to the radius of the curve. Therefore, PI is located at a distance of 610 meters from PC. Adding this distance to the station of PC (0+100), we find that PI is located at 0+710.

In conclusion, the stations are PC: 0+100 and PI: 0+710.

Learn more about curve here : brainly.com/question/15229417

#SPJ11

We are given a horizontal curve on a two-lane highway with a radius of 610 meters. We also know that the shortest distance between station PC and station PT is 400 meters, and station PT is located at 0+500.

The stations are PC: 0+100 and PI: 0+710. We will explain the steps to find the stations PC and PI: To find the station of PC, we start from station PT and subtract the shortest distance of 400 meters. Since station PT is located at 0+500, we subtract 400 from it to get PC. Therefore, PC is located at 0+100. Next, to find the station of PI, we need to consider the geometry of the curve.

The point PI is located at the point of tangency between the curve and the tangent at station PC. Since the curve is horizontal, the tangent at PC is perpendicular to the curve. The distance from PC to PI is equal to the radius of the curve. Therefore, PI is located at a distance of 610 meters from PC. Adding this distance to the station of PC (0+100), we find that PI is located at 0+710. The stations are PC: 0+100 and PI: 0+710.

Learn more about curve here : brainly.com/question/15229417
#SPJ11

Answer:

77 years old

Step-by-step explanation:

The first part of the answer calculates the semi-annually compounded forward rate between 0.5 years and 1 year using the given current 0.5-year and 1-year swap rates.

The second part of the answer assumes specific values for the current swap rates and explains the formula used to calculate the forward rate. The variables r1 and r2 represent the current swap rates, while t1 and t2 represent the time until the swap rates reset. To calculate the semi-annually compounded forward rate between 0.5 years and 1 year, we use the formula:

Forward Rate = [(1 + r2)^(t2 - t1) / (1 + r1)^(t2 - t1)] - 1

Assuming the current 0.5-year swap rate (r1) is 2.0% p.a. and the current 1-year swap rate (r2) is 2.8% p.a., and given that t1 is 0.5 years and t2 is 1 year, we can plug these values into the formula to calculate the forward rate. For the second part of the question, if you enter a new 1-year IRS as a fixed-rate receiver to offset the existing IRS exposure, you need to determine the new IRS rate (p.a.) under the current market conditions. The current market rates provided are a 0.5-year swap rate of 2.5% p.a. and a 1-year swap rate of 3.0% p.a.

To calculate the new IRS rate, you need to consider the net exposure after entering the new IRS. Subtract the value of the existing IRS from the value of the new IRS, taking into account the notional principal of $100 million. The resulting net exposure will determine the new IRS rate needed to offset the existing exposure under the current market conditions.

Learn more about the current market here:- brainly.com/question/28545519

#SPJ11

29 students scored at least 70 but less than 90, which is evaluated by using the cumulative frequency.

To discover the number of understudies with scores more noteworthy than or rise to 70 but less than 90, we have to discover the cumulative frequency of scores between 70 and 90. 

From this table, ready to see that the total frequency of scores up to 70 is 63, and the total frequency of scores up to 90 is 92. So the number of understudies with scores over 70 and underneath 90 is:

Cumulative frequency of outcomes up to 90 - Cumulative frequency of outcomes up to 70

= 92 - 63

= 29

Therefore, 29 students scored at least 70 but less than 90.

learn more about  cumulative frequency

brainly.com/question/30087370

#SPJ4

Answer:

6

Step-by-step explanation:

The perimeter first figure that is made of a square and equilateral triangle is 52 cm.

What exactly are squares?

A square is a two-dimensional planar shape with four equal sides and four 90-degree angles. The features of a rectangle are similar to those of a square, but the distinction is that a rectangle has just its opposing sides equal.

A square's most significant qualities are

The diagonal of a square is divided into two isosceles triangles.

Square area=(side)²

Square perimeter=4*side

Now,

For first figure given that

sides of square are 14 cm in length

and length of side of equilateral triangle are=5 cm

but for finding perimeter of the figure only 3 sides of square and 2 sides of triangle are needed.

So, perimeter=3*14+2*5

=42+10

=52 cm

hence,

         The perimeter first figure 52 cm.

To know more about squares visit the link

https://brainly.com/question/28776767?referrer=searchResults

#SPJ1

Answer:

The perimeter 9+9+15+4+3+4pi=52.56 units.

The area is 25.12+135 which is 160.12 unit squared.

Step-by-step explanation:

Perimeter of this shape = perimeter of half circle + perimeter of the rectangle

Diameter of circle = 15-4-3 = 8

Radius of circle = 8/2 = 4

Perimeter of the shape = (2 x pi x 4)/2 + 15 + 9 + 9 + 4 + 3

   = 4pi + 40 = 52.56 units     (substitute pi = 3.14)

Area of shape = area of half circle + area of rectangle

= (pi x 4 x 4)/2  + (9 x 15)

= 25.12 + 135 = 160.12 unit squared

Answer:

Step-by-step explanation:

Since you have

+

5

y

in one equation and

−

5

y

in the other equation, you can add both equations to cancel out the y terms and solve for x.

−

6

x

+

5

x

=

−

x

5

y

−

5

y

=

0

1

+

10

=

11

therefore

−

x

=

11

multiplying both sides by -1:

x

=

−

11

plugging this back into the first equation:

−

6

(

−

11

)

+

5

y

=

1

66

+

5

y

=

1

subtracting 66 from both sides:

5

y

=

−

65

divide both sides by 5:

y

=

−

13

putting the x-values and y-values into one point gives:

(

−

11

,

−

13

)

as the solution

Answer:

slope=-1/5

Step-by-step explanation:

the slope is -1/5 because it falls 1 unit from one point before crossing 5 units and hitting another point.