Careers, Salaries, and Lifetime Income
Multimedia Presentation
Active
C D
Instructions
Click the links to open the resources below. These resources will help you complete the assignment. Once you have created your file(s) and
are ready to upload your assignment, click the Add Files button below and select each file from your desktop or network folder. Upload each
file separately.
Your work will not be submitted to your teacher until you click Submit.
Documents
Student Guide - Careers, Salaries, and Lifetime Income (PDF
Student Guide - Careers, Salaries, and Lifetime Income (Word)
B Multimedia Presentation Rubric
File Upload
Accepted file types: .ppt, .pptx, .xls, .xlsx, .doc, .docx, .zip. .pdf, .accdb, .msg
+ Add Files
x
Delete All

Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

answer: -3

remember the equation y = mx + b

m is the slope, and b is the y-intercept

so in the equation y = 4x - 3,

4 replaces the m as the slope and -3 replaces b for the y-intercept

so -3 is your answer

Answer:

-3

Step-by-step explanation:

If the sales department wants to place an order for 253,625 third grade math books for a region. How can the sale manager estimate the number of math books to be sure that there are more then enough is: The manager should carryout survey based on the number of people per class and provide 25,362 books.

Since extra math's  books will be needed after giving out the available math's books.

Hence:

Additional maths books=10%× 253,625

Additional maths books=25,362 books

Based on the above calculation the manager should carryout survey based on the number of people per class and provide them with 25,362 books.

Therefore how can the sale manager estimate the number of math books to be sure that there are more then enough is that the manager should carryout survey based on the number of people per class and provide 25,362 books.

Learn more about How the sale can manager estimate the number of math books here:https://brainly.com/question/18558957

#SPJ1

Answer:

  y = -x +3

Step-by-step explanation:

You want the slope-intercept equation of the line with the same intercept as -3y = -9 +3x, and the same slope as -2x -2y = -8.

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . where m is the slope, and b is the y-intercept

For the given equations, we can put them in this form to find the desired parameters.

  -3y = -9 +3x

  y = -x +3 . . . . . . . . . . divide both sides by -3

We observe that the y-intercept is +3, which we will need for our answer.

The slope-intercept form of the second equation is ...

  -2x -2y = -8

  x + y = 4 . . . . . . . . . . divide by -2

  y = -x +4 . . . . . . . . . . subtract x

We observe that the slope (coefficient of x) is -1, which we will need for our answer.

We want the equation of the line with slope -1 and y-intercept 3. It is ...

  y = -x +3 . . . . . . . . . . same as the equation of the first line

__

Additional comment

The slope-intercept equation (green) is plotted using dots, so that you can see it is coincident with the line described by the first equation (red). Parallel lines have the same slope, so our desired line must be parallel to the blue line. (It is.)

Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

(i) \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

(ii) \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

For λ = 2.5, the function f(x) will be continuous at x = 0.

Given the function is,

f(x) = 1.5, when x = 0

    = 1 -2 sin x, when x < π/4

    = 1 + 2 sin x, when x > π/4

    = 1 + (sin λx/sin 5x)

Now,

\(\lim_{x \to \pi/3}\) f(x) = \(\lim_{x \to \pi/3}\) (1 + 2 sin x) [Since, π/3 > π/4]

                    = 1 + 2 sin (π/3)

                    = 1 + 2√3/2 = 1 + √3

Hence, \(\lim_{x \to \pi/3}\) f(x) = 1 + √3.

Now left hand limit is,

\(\lim_{x \to \frac{\pi^+}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^+}{4}}\) (1 + 2sin x) = 1 +2 sin(π/4) = 1 + 2*(1/√2) = 1 + √2

and right hand limit is,

\(\lim_{x \to \frac{\pi^-}{4}}\) f(x) = \(\lim_{x \to \frac{\pi^-}{4}}\) (1 - 2 sin x) = 1 - 2*(1/√2) = 1 - √2

Since left hand limit and right hand limit are not equal so value of \(\lim_{x \to \frac{\pi}{4}} f(x)\) does not exist.

\(\lim_{x \to 0}\) f(x) = \(\lim_{x \to 0}\) (1 + (sin λx/sin 5x)) = 1 + \(\lim_{x \to 0}\) ((sin λx/λx)/(sin 5x/5x))*(λ/5) = 1 + λ/5

Since f(x) is continuous at x = 0.

So, \(\lim_{x \to 0}\) f(x) = f(0)

1 + λ/5 = 1.5

λ/5 = 1.5 - 1 = 0.5

λ = 2.5

Hence the value of λ will be 2.5.

To know more about continuous here

https://brainly.com/question/27761372

#SPJ1

If l || m the values of x and y are x = 8, y = 21.

What are the parallel and perpendicular lines?

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:

(7x + 12)° = (12x - 28)°

Solve for x

7x + 12 = 12x - 28

Collect like terms

7x - 12x = - 12 - 28

-5x = -40

Divide both sides by -5

-5x/-5 = -40/-5

x = 8

(12x - 28)° + (9y - 77)° = 180° (linear pair)

To find y, plug in the value for x = 8.

12(8) - 28 + 9y - 77 = 180

96 - 28 + 9y - 77 = 180

Combine like terms

- 9 + 9y = 180

Add 9 to both sides

-9 + 9y + 9 = 180 + 9

9y = 189

Divide both sides by 9

9y/9 = 189/9

y = 21

Hence, if l || m the values of x and y are x = 8, y = 21.

To learn more parallel and perpendicular lines visit,

https://brainly.com/question/25429151

#SPJ1

Answer:

12.3

Step-by-step explanation:

You will use cosine to solve for y because you are given the hypontenuse and need to find the adjacent side.

cos 35 degrees = adjacent/hypontenuse

cos 35 = y/ 15

15( cos35 ) = y

y=12.287

=12.3

The minimum value of the expression 4a + 5b + 6c subject to the given constraints is = 66 using the Lagrange multipliers method.

Note that the Lagrange multipliers method can be used when asked to minimize an expression subject to one or more constraints.


Using this Lagrange multipliers method subject to the given constraints:

Let \(L(a, b, c, λ1, λ2, λ3)\) be the Lagrangian function, where \(λ1, λ2, and λ3\) are the Lagrange multipliers associated with the three constraints.

Then, we have:

\(L(a, b, c, λ1, λ2, λ3) = 4a + 5b + 6c + λ1(a + b - 11) + λ2(a - b - 35 + 12b) + λ3(-a) - λ1b - λ2b - λ3c\)

To find the minimum value of the expression, we need to solve the following system of equations:

\(∇L/∇a = 4 + λ1 + λ2 - λ3 = 0\)

\(∇L/∇b = 5 + λ1 - λ2 - λ1 = 0\)
\(∇L/∇c = 6 - λ3 = 0\)

Subjected to

\(a + b > = 11\)
\(a - b = 35 - 12b\)
\(a > = 0\)
\(b > = 0\)
\(c > = 0\)

Solving these equations, we get:

\(λ1 = -3/2, λ2 = -1/2, λ3 = 6\)
\(a = 33/5, b = 8/5, c = 0\)

Therefore, the minimum value of the expression 4a + 5b + 6c subject to the given constraints is:

4(33/5) + 5(8/5) + 6(0) = 66.

To learn more about using the Lagrangian method visit: https://brainly.com/question/4609414

#SPJ1

Answer:

side 1^2 + side 2 ^2 = hypotenuse ^ 2

18^2 + 20^2 = hypotenuse^2

324 + 400 = 724

hypotenuse^2 = 724

hypotenuse = 26.9072480941474

hypotenuse = 26.9

Step-by-step explanation:

Answer: $12 for one ticket.

Step-by-step explanation:

simply divide 48 by 4, that's how you find the price for one ticket.

x = 0.25 , y= -0.5 , (x, y) represents the point (0.25,-0.5) in fourth quadrant of the cartesian plane as shown in the graph below attached.

What are cartesian coordinates in two dimensions ?

A Cartesian coordinate system in two dimensional is defined by x and y axes. Any point in the  coordinate system is defined by a perpendicular distance from  the x and y axes, (x, y). x and y  axes intersect at the point where the value of  x and y both is zero; this is called the origin (0,0)

Given ordered pair is ( 1/4, -1/2)

put (x,y) = ( 1/4, -1/2)

x= 1/4 =0.25  and y =(-1/2) = -0.5

This point lie in 4th quadrant

The point in the attached file represents  the given point.

Learn more about cartesian coordinates at

https://brainly.com/question/10757890

#SPJ1

Answer:

$2.57

Step-by-step explanation:

divide 5,140 by 20,

5,140/20=257=2.57

We have here a case in which we need to translate a problem into algebraic expressions to solve a problem, and we have the following information from the question:

• We have that Joan bought:

0. Apples at $1.20 per pound

1. Cherries at $2.00 per pound

2. Pears at $0.80 per pound

• We know that she bought a total of 9 pounds of fruit.

• We also know that she spent $11.00 for the 9 pounds of fruit.

• Joan bought twice as many pounds of apples than cherries.

We need to label weights as follows:

• Weight of apples ---> A

• Weight of cherries ---> C

• Weight of pears ---> P

Now to find a system of equations to determine the number of pounds of each type of fruit was bought, we can proceed as follows:

1. We know that if we multiply the price of the fruit per pound by the weight in pounds, we will obtain the amount of money Joan spent in total. Then we have:

2. We also know that the total weight of the fruits was equal to 9 pounds. Then we can translate it into an algebraic expression as follows:

3. And we know that Joan bought twice as many pounds of apples than cherries, and we can translate it as follows too:

Now we have the following equations:

Therefore, we have that the correct option is the first option:

• 1.20a + 2.00c + 0.80p = 11.00

• a + c + p = 9

• 2a - c = 0

[First option].

Step-by-step explanation:

(x-2)^2 + (y-9)^2   = r^2

this is of the form fora circle with center  h,k and radius r

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

for the equation given   center =   2, 9    and radius = r

Answer:

the associative property of addition i think

Step-by-step explanation:

Answer:

no, Andre ran at a sperm of 8km/hr while jada ran at 9km/hr you can find that by Andre going 2km in 15 minutes which turns to hours by multiplying by 4/4 to get 8/60 which 60 minutes is 1 hour then jada multiply by 3/3 which would be 9/60

ANSWER

C. opposite leg/adjacent leg

EXPLANATION

The tri

Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

Answer:

a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes

c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.9 minutes and a standard deviation of 2.9 minutes.

This means that \(\mu = 8.9, \sigma = 2.9\)

Sample of 37:

This means that \(n = 37, s = \frac{2.9}{\sqrt{37}}\)

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

320/37 = 8.64865

Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}\)

\(Z = -0.53\)

\(Z = -0.53\) has a p-value of 0.2981

0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

275/37 = 7.4324

Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}\)

\(Z = -3.08\)

\(Z = -3.08\) has a p-value of 0.001

1 - 0.001 = 0.999

0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So

0.2981 - 0.0010 = 0.2971

0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

The expression to represent how much Jamie spends in all. we may state,0.40x + 0.40y is 8, 0.30x + 0.30y is 6

Set variables to represent the amounts we wish to identify.

To learn more about expression refer to:

https://brainly.com/question/723406

#SPJ1

Answer:

18÷4×3=13.5

so 13.5 is the answer

Answer:

13.5 or 13 \(\frac{1}{2}\) or \(\frac{27}{2}\)

Step-by-step explanation:

We can setup this by turning 18 into a fraction. \(\frac{3}{4} * \frac{18}{1}\). All we need to do is multiply the numerators and the denominators together to get \(\frac{54}{4}\). We can now divide 54 by 4 to get 13.5. 13.5 or 13 1/2 or 27/2 is your final answer.

The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10

(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.

(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:

Sample 1: 1, 2, 3, 4, 5

Sample 2: 6, 7, 8, 9, 10

Sample 3: 11, 12, 13, 14, 15

In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.

To know more about sample Visit:

https://brainly.com/question/28196409

#SPJ1

Answer:

x=2/3

Step-by-step explanation:

decimal: 1.5

mix number: 1 1/2

Answer:

B.

Step-by-step explanation:

The probability of observing such an extreme result by chance alone is 0.0124.

To find the P-value for a two-tailed test of hypothesis, we need to first determine the significance level (alpha) of the test. Let's assume a significance level of 0.05, which is a common choice.

Since this is a two-tailed test, we need to find the probability of observing a test statistic as extreme or more extreme than 2.5 in either direction. We can find this probability using a standard normal distribution table or a calculator.

Using a standard normal distribution table, we can find that the probability of observing a z-score of 2.5 or greater is 0.0062. The probability of observing a z-score of -2.5 or smaller is also 0.0062. Therefore, the P-value for the two-tailed test of hypothesis is:

P-value = 2 * 0.0062

P-value = 0.0124

This means that if the true proportion of business students who have personal computers at home differs from 30%, with a significance level of 0.05, and we obtain a test statistic of 2.5, then the probability of observing such an extreme result by chance alone is 0.0124.

To learn more about Probability :

brainly.com/question/24756209

#SPJ11

Answer:

\(\cos G=\dfrac{2}{3}\)

\(\csc E=\dfrac{3}{2}\)

\(\cot G=\dfrac{2}{\sqrt{5}}\)

Step-by-step explanation:

If the right angle of right triangle EFG is ∠F, then EG is the hypotenuse, and EF and FG are the legs of the triangle. (Refer to attached diagram).

Given ΔEFG is a right triangle, and EG = 6 and FG = 4, we can use Pythagoras Theorem to calculate the length of EF.

\(\begin{aligned}EF^2+FG^2&=EG^2\\EF^2+4^2&=6^2\\EF^2+16&=36\\EF^2&=20\\\sqrt{EF^2}&=\sqrt{20}\\EF&=2\sqrt{5}\end{aligned}\)

Therefore:

\(\hrulefill\)

To find cos G, use the cosine trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosine trigonometric ratio} \\\\$\sf \cos(\theta)=\dfrac{A}{H}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the hypotenuse is EG.

Therefore:

\(\cos G=\dfrac{FG}{EG}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\hrulefill\)

To find csc E, use the cosecant trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cosecant trigonometric ratio} \\\\$\sf \csc(\theta)=\dfrac{H}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle E, the hypotenuse is EG and the opposite side is FG.

Therefore:

\(\csc E=\dfrac{EG}{FG}=\dfrac{6}{4}=\dfrac{3}{2}\)

\(\hrulefill\)

To find cot G, use the cotangent trigonometric ratio:

\(\boxed{\begin{minipage}{9 cm}\underline{Cotangent trigonometric ratio} \\\\$\sf \cot(\theta)=\dfrac{A}{O}$\\\\where:\\ \phantom{ww}$\bullet$ $\theta$ is the angle. \\ \phantom{ww}$\bullet$ $\sf A$ is the side adjacent the angle. \\\phantom{ww}$\bullet$ $\sf H$ is the hypotenuse (the side opposite the right angle). \\\end{minipage}}\)

For angle G, the adjacent side is FG and the opposite side is EF.

Therefore:

\(\cot G=\dfrac{FG}{EF}=\dfrac{4}{2\sqrt{5}}=\dfrac{2}{\sqrt{5}}\)

Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90