help me for 20 points

Help Me For 20 Points

Answers

Answer 1

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5


Related Questions

Find the measure of the red arc or angle

Answers

The measure of the intercepted arc PS in the circle is 80 degrees.

What is the measure of arc PS?

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

From the diagram:

Inscribed angle R = 40 degrees

Intercepted arc PS = ?

Plug the given value into the above formula and solve for arc PS.

Inscribed angle = 1/2 × intercepted arc.

40 = 1/2 × intercepted arc PS

Intercepted arc PS = 40 × 2

Intercepted arc PS = 80°

Therefore, arc PS measure 80 degrees.

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Help me please. This is due later today.

Answers

Answer:

2:5 i THINK

Step-by-step explanation:

Solve for mZIJL.
K
\100°
52°
o
Answer: mZIJL
Submit Answer

Answers

Answer:

m<IJL = 48

Step-by-step explanation:

<IJL = x

100 - 52 = x

x = 48

A landscaping company charges a $12 fee to make a house call plus an hourly rate for labor if the total bill for a job that takes two and a half hours comes to $95.75 write an equation that can be used to solve for the hourly labor rate use R to represent the rate then solve the equation and explain all steps​

Answers

12 multiplied by 2.5=30=95. 75-30=65.75

Which data set could be represented by the box plot shown below?

10
12
14
16
18
20
22
24
26

Answers

Answer:

B

Step-by-step explanation:

12, 15, 15, 17, 19, 19, 20, 22, 24

The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.

Which data set could be represented by the box plot shown is to be determined.

What is the range?

Range, it is the set of the values that come out to an outcome for a certain mathematical operation.


What is a number line?

A number line is defined as a line is a horizontal line that has equally distributed number offsets. The numbers contained on the line will determine, the number on the line that can be answered. The query that reaches the numeral resolves how it will be used, eg, planning a point.

Since the box only represent the data set of the interval of its length,
so from 12 to 24 on the number line is a set of values that are represented by the box.

Thus, The data set { 12, 14, 16, 18, 20, 22, 24, } is represented by the box plot above the number line.

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Xavier writes a ratio out of 18 as the decimal 0.22222222.

Answers

Answer: 4/18

Step-by-step explanation:

The ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Xavier writes a ratio out of 18 as the decimal 0.22222222.

Let's suppose the x out of 18 can be written as 0.22222222

x/18 = 0.22222222

x = 3.999999 ≈ 4

It means 4/18 can be written as 0.22222222

Thus, the ratio 4:18 can be written as the decimal 0.22222222, so the value in the numerator is 4.

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In a business meeting, every person at the meeting shakes every other person's hand exactly one time. The total number of 1/2 -n(n-1). - handshakes for n people at the meeting is given by an Evaluate a15 and interpret its meaning in the context of this problem. a15 If 15 people are present at the meeting, there will be handshakes. ​

Answers

We get : Handshakes = (15*(15-1))/2Handshakes = 105In a meeting with 15 people, there will be 105 handshakes in total

The handshake problem is a classic problem of combinatorial mathematics that gives the number of handshakes in a meeting where each individual shakes hands with each other individual.

The handshake problem can be expressed as follows:In a business meeting, every person at the meeting shakes every other person's hand exactly one time. The total number of 1/2 -n(n-1). - handshakes for n people at the meeting is given by an.

Evaluate a15 and interpret its meaning in the context of this problem. We need to find out the total number of handshakes that take place in a meeting of n people, and the formula for that is given as:Handshakes = (n*(n-1))/2Putting n = 15, .

It's important to keep in mind that this formula assumes that every person shakes hands with every other person exactly once.

If there are any deviations from this rule (e.g. someone doesn't shake hands with everyone, or someone shakes hands with someone else more than once), then the formula may not be accurate.

To learn more about : handshakes

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-7x+4y=32
-5x-2y = -16
elimination method explain please

Answers

Answer:

(0,8)

Step-by-step explanation:

-7x+4y=32

-10x-4y=-32

-17x=0

x=0

-5×0-2y=-16

y=8

(0,8)

What is the name for an upward trend for an exponential function?
Exponential Growth
Scientific Notation
Growth-Decay Notation
Exponential Decay

Answers

Answer:

Step-by-step explanation:

Exponential growth

PLEASE HELP!!
All measurements are in inches when not given. Find the area of the
following: *
12
15
180 inches ^2
100 inches 12
300 inches ^2

Answers

Answer:

180 inches ^2

Step-by-step explanation:

12 x 15 = 180

also i like your profile

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

(3, -2)

Step-by-step explanation:

A company issues a general knowledge test to its potential employees as part of its recruitment procedures. The company does not invite the lowest scoring 20% back for a second interview. If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17. What mark (to the nearest whole number) must a candidate achieve in order to secure a second interview

Answers

Answer:

46

Step-by-step explanation:

Given :

Lowest scoring 20% ; this corresponds to score below (1 - 0.2) = 0.8

Mean, m = 60

Standard deviation, s = 17

Zscore = (x - mean) / standard deviation

Therefore, the Zscore for the bottom 20% equals ; P(x > Z) = 0.8

Using a Z probability calculator ;

The Zscore = -0.842

Therefore to Obtian the score, x

Zscore = (x - mean) / standard deviation

-0.842 = (x - 60) / 17

-0.842 * 17 = (x - 60)

-14.314 = x - 60

-14.314 + 60 = x

x = 45.686

To secure a second interview, candidate must score, 46 (nearest whole number).

The marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46 and this can be determined by using the z-score formula.

Given :

A company issues a general knowledge test to its potential employees as part of its recruitment procedures.The company does not invite the lowest scoring 20% back for a second interview.If the scores on this test are normally distributed with a mean of 60 and a standard deviation of 17.

Let 'x' be the mark must a candidate achieve in order to secure a second interview.

So, through the z-score formula, the value of 'x' can be determined.

[tex]\rm z_{score} = \dfrac{x-mean}{Standard\; Deviation}[/tex]

[tex]\rm -0.842 = \dfrac{x-60}{17}[/tex]

[tex]17\times -0.842 = x - 60[/tex]

x = 60 - 14.314

x = 45.686

So, the marks (to the nearest whole number) must a candidate achieve in order to secure a second interview is 46.

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find the value of x

help please !

Answers

Answer:

56°

Triangles are supposed to equal 180° when all the degrees inside are added, and when you add 44 and 80 it equals 124

Now you subtract 124 from 180 and then you get 56

So the answer would be 56° :)

tony completes one lap of a track every 20 seconds. diana completes one lap of the same track every 55 seconds. suppose tony and diana start at the starting line at the same time. how many seconds will it be before they cross the starting line at the same time again?​

Answers

Answer:

220 seconds.

Step-by-step explanation:

55, 110, 165, 220.

20,40,60,80,100,120,140,160,180,200,220.

Both have 220 in common so will cross at 220 seconds at the same time.

4/12×1/8 in simplest form​

Answers

Answer:

[tex]\frac{1}{24}[/tex]

Step-by-step explanation:

[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]

2 Easy 7th Grade questions but its due in 7 min HELP ASAP
A cylinder-shaped beaker is 6 inches tall and its base measures 4 inches across. For a science experiment, Gloria must fill 1/3 of the beaker with water. How much water will Gloria use for the experiment?


What is the height of the cone if the volume is 12 pie ft ? And radius is 3ft

Answers

Answer:

Step-by-step explanation:

Problem One

V = pi r^2 h

V = 3.14 * (4/2)^2 * 6

V = 3.14 * 4 * 6

V = 75.36

However, that is not the answer. The answer is 1/3 of that amount.

V1 = 1/3 * 75.36

V1 = 25.12

Problem 2

V= `12 pi

r = 3 feet

Formula

V = 1/3 pi r^2 h

12* pi = 1/3 * pi * 3^2 * h      Cancel the pi s.

12 = 1/3 * 9 * h

12 = 3 h                                Divide by 3

12/3 = h

h = 4

7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.

Answers

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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A computer randomly puts a point inside the rectangle. What is the probability that the point lands in triangle T?

Answers

Answer:

87.5%

Step-by-step explanation:

The area of the entire rectangle is 8 by 6,

8x6=48 so the area is 48 units^2.

The area of the triangle is A=1/2bh

A=1/2(2)(6)

A=1(6)

A=6 units^2

6/48=0.125

0.125=12.5%

You need to find the percent it will not land in the triangle, so subtract 12.5 from 100.

100-12.5=87.5

There is an 87.5% chance it will not land in the triangle

what interest rate is the local credit union giving you on a car loan of 25,000 for 5 years if they will collect 1500 in interest? ASAP i only have 5 minutes

Answers

Answer:

1.2%

Step-by-step explanation:

Solve for x. Round your answer to the nearest tenth.
42
37
X=
units

Answers

Answer:

10

Step-by-step explanation:

That little square gives you a hint that it's an 90 degree angle/ acute angle First add 42 and 37 and you will get 79. Next subtract 79 from 90 and you will get 11. (5 or more, raise the score, for or less, let it rest.) 11 equals 10.

Numarical form:

47 + 37 = 79

90 - 79 = 11

11 = 10

Please help! I need this answer fast!
Frank left his house at 7 am and drove to the airport at a speed of 50 mph. Lance left his house at 6 am and drove to the same airport at a speed of 55 mph. Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.

At what time did Lance arrive at the airport?

Answers

Answer:

87

Step-by-step explanation:

Answer: 10:00 AM

This is the answer, and it’s correct. I did this problem and it’s 10:00 AM

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be surveyed in order to be 95% confident that your sample mean is within 11 minutes of the population mean? Assume that the standard deviation of the population of monthly time spent on the internet is 202 min. The minimum sample size required is_______computer users. (Round UP to the nearest whole number.)

Answers

Answer:

1568

Step-by-step explanation:

The computation of the minimum sample size is shown below:

Given that

Error E = 11

The population standard deviation [tex]\sigma[/tex] =217

Confidence level 1-α = 95%

Now following formula should be used

n > (Zalpha ÷ 2 × sigma ÷ E)^2

As we know that

Zalpha ÷ 2= 1.96

Now the sample size is

n> (1.96 × 202  ÷ 10)^2

= 1568

PLS ANSWER QUICK, HELP

Answers

Answer:

6 inches of paper:)!

Step-by-step explanation:

Elvin has three sails of different sizes for his model ships. Which of the sails are congruent, and which are similar?
45°
15 in.
3x in.
9 in.
- 10x)
5 in 4593 in.
Fly - 10x)"
EK IF
z in.
255
55°
BK
A 80
R
OR
4 in.
4 in.
Sail 1
Sail 11
Sail III

Answers

Similar means angles are the same  

Congruent means angles and sides are the same.

Sail 1 and sail 2 have the same angles but the sides are not the same.

So sail 1 and sail 2 are similar.

I NEED HELP WITH A PROBLEM ​

Answers

Answer:

64

Step-by-step explanation:

Volume of one sugar cube = 1x1x1= 1cm³

Volume of dish = 4x4x4 = 64cm³

Divide volume of dish by volume of one cube to find out how many can fit:

64/1 = 64

Write the additive inverse and multiplicative inverse of 3-7i?

Answers

Step-by-step explanation:

additive inverse means multiplying 3-7i by it's conjugate which would be

(3-7i)(3+7i)=3^2+7^2=9+49=58

the multiplicative inverse of a number z is 1/z

1/(3-7i)

multiply numerator and denominator by 3-7i's conjugate and it equals 58

(3-7i)/58

3/58-7/58i

Hope that helps :)

Two chords, AC and DE, intersect inside of circle O at point X. AX=15 cm, CX= 12 cm, and EX= 21 cm. Find DE

Answers

Answer:

DE = 29.57

Step-by-step explanation:

Given:

AX = 15 cm,

CX = 12 cm,

EX = 21 cm.

Required:

Find DE

Solution:

AX and CX are segments of chord AC

DX and EX are segments of chord DE

Therefore,

DE = DX + EX

DE = DX + 21

We are not given the value of DX, so we need to find DX

Based on the intersecting chords theorem:

AX*CX = DX*EX

Plug in the values

15*12 = DX*21

180 = DX*21

Divide both sides by 21

180/21 = DX

8.57142857 = DX

DX ≈ 8.57

✅DE = DX + 21 = 8.57 + 21 = 29.57



Subtract y from 5....

Answers

Answer:

5y-y= 5? I don’t know  I’m not totally sure.

Step-by-step explanation:

which expressionis 4 times as large as the expression 34 minus 15

Answers

Answer:64?

Step-by-step explanation:

Which NCAA college basketball conference has the higher probability of having a team play in a college basketball's national championship game? Over the last 20 years, the Atlantic Coast Conference (ACC) ranks first by having a team in the championship game 10 times. The Southeastern Conference (SEC) ranks second by having a team in the championship game 8 times. However, both conferences have had teams in the championship game only one time, when Arkansas (SEC) beat Duke (ACC) 76–70 in 1994 (NCAA website, April 2009). Use these data to estimate the following probabilities.

a. What is the probability the ACC will have a team in the championship game?
b. What is the probability the SEC will have team in the championship game?
c. What is the probability the ACC and SEC will both have teams in the championship game?
d. What is the probability at least one team from these two conferences will be in the championship game? That is, what is the probability a team from the ACC or SEC will play in the championship game?
e. What is the probability that the championship game will not a have team from one of these two conferences?

Answers

Answer:

A)P(ACC has a team in the championship game) = 0.5

B)P(SEC has a team in the championship game) = 0.4

C)P(both ACC & SEC having teams in the championship games) = 0.05

D)P(ACC or SEC) = 0.85

E)P(not ACC or SEC) = 0.15

Step-by-step explanation:

A) We are told that in the last 20 years, ACC has had a team in the championship game for 10 times.

Thus;

P(ACC has a team in the championship game) = 10/20 = 0.5

B) SEC has a team in the championship game 8 times in the last 20 years;

Thus;

P(SEC has a team in the championship game) = 8/20 = 0.4

C) since both ACC and SEC have had teams in the championship game for the past 20 years, then;

P(both ACC & SEC having teams in the championship games) = 1/20 = 0.05

D) Addition rule of probability is that;

P(A or B) = P(A) + P(B) - P(A & B)

Applying it to this question, we have;

P(ACC or SEC) = P(ACC) + P(SEC) - P(ACC & SEC)

Plugging in the relevant values, we have;

P(ACC or SEC) = 0.5 + 0.4 - 0.05

P(ACC or SEC) = 0.85

E) from complement rule, we can find the probability that the championship game will not a have team from one of these two conferences.

Thus;

P(ACC not SEC) = 1 - P(ACC or SEC)

P(ACC not SEC) = 1 - 0.85

P(ACC not SEC) = 0.15

Other Questions
The file banking.txt attached to this assignment provides data acquired from banking and census records for different zip codes in the banks current market. Such information can be useful in targeting advertising for new customers or for choosing locations for branch offices. The data showmedian age of the population (AGE)median income (INCOME) in $average bank balance (BALANCE) in $median years of education (EDUCATION)In this exercise you are asked to apply regression analysis techniques to describe the effect of age education and income on average account balance.Analyze the distribution of average account balance using histogram, and compute appropriate descriptive statistics. Write a paragraph describing distribution of Balance and use appropriate descriptive statistics to describe center and spread of the distribution. Discuss your findings. Also, do you see any outliers? Include the histogram.Create scatterplots to visualize the associations between bank balance and the other variables. Discuss the patterns displayed by the scatterplot. Also, do the associations appear to be linear? (You can create scatterplots or a matrix plot). Include the scatterplots.Compute correlation values of bank balance vs the other variables. Interpret the correlation values, and discuss which pairs of variables appear to be strongly associated. Include the relevant output that shows the correlation values.What is the independent variable and what are the dependent variable in this regression analysis?Use SAS to fit a regression model to predict balance from age, education and income. Analyze the model parameters. Which predictors have a significant effect on balance? Use the t-tests on the parameters for alpha=0.05. Include the relevant regression output.If one of the predictors is not significant, remove it from the model and refit the new regression model. Write the expression of the newly fitted regression model.Interpret the value of the parameters for the variables in the model.Report the value for the R2 coefficient and describe what it indicates. Include the portion of the output that includes the R2 coefficient values.According to census data, the population for a certain zip code area has median age equal to 34.8 years, median education equal to 12.5 years and median income equal to $42,401.Use the final model computed in step (f) above to compute the predicted average balance for the zip code area.If the observed average balance for the zip code area is $21,572, whats the model prediction error?Copy and paste your SAS code into the word document along with your answers.Age Education Income Balance35.9 14.8 91033 3851737.7 13.8 86748 4061836.8 13.8 72245 3520635.3 13.2 70639 3343435.3 13.2 64879 2816234.8 13.7 75591 3670839.3 14.4 80615 3876636.6 13.9 76507 3481135.7 16.1 107935 4103240.5 15.1 82557 4174237.9 14.2 58294 2995043.1 15.8 88041 5110737.7 12.9 64597 3493636 13.1 64894 3238740.4 16.1 61091 3215033.8 13.6 76771 3799636.4 13.5 55609 2467237.7 12.8 74091 3760336.2 12.9 53713 2678539.1 12.7 60262 3257639.4 16.1 111548 5656936.1 12.8 48600 2614435.3 12.7 51419 2455837.5 12.8 51182 2358434.4 12.8 60753 2677333.7 13.8 64601 2787740.4 13.2 62164 2850738.9 12.7 46607 2709634.3 12.7 61446 2801838.7 12.8 62024 3128333.4 12.6 54986 2467135 12.7 48182 2528038.1 12.7 47388 2489034.9 12.5 55273 2611436.1 12.9 53892 2757032.7 12.6 47923 2082637.1 12.5 46176 2385823.5 13.6 33088 2083438 13.6 53890 2654233.6 12.7 57390 2739641.7 13 48439 3105436.6 14.1 56803 2919834.9 12.4 52392 2465036.7 12.8 48631 2361038.4 12.5 52500 2970634.8 12.5 42401 2157233.6 12.7 64792 3267737 14.1 59842 2934734.4 12.7 65625 2912737.2 12.5 54044 2775335.7 12.6 39707 2134537.8 12.9 45286 2817435.6 12.8 37784 1912535.7 12.4 52284 2976334.3 12.4 42944 2227539.8 13.4 46036 2700536.2 12.3 50357 2407635.1 12.3 45521 2329335.6 16.1 30418 1685440.7 12.7 52500 2886733.5 12.5 41795 2155637.5 12.5 66667 3175837.6 12.9 38596 1793939.1 12.6 44286 2257933.1 12.2 37287 1934336.4 12.9 38184 2153437.3 12.5 47119 2235738.7 13.6 44520 2527636.9 12.7 52838 2307732.7 12.3 34688 2008236.1 12.4 31770 1591239.5 12.8 32994 2114536.5 12.3 33891 1834032.9 12.4 37813 1919629.9 12.3 46528 2179832.1 12.3 30319 1367736.1 13.3 36492 2057235.9 12.4 51818 2624232.7 12.2 35625 1707737.2 12.6 36789 2002038.8 12.3 42750 2538537.5 13 30412 2046336.4 12.5 37083 2167042.4 12.6 31563 1596119.5 16.1 15395 595630.5 12.8 21433 1138033.2 12.3 31250 1895936.7 12.5 31344 1610032.4 12.6 29733 1462036.5 12.4 41607 2234033.9 12.1 32813 2640529.6 12.1 29375 1369337.5 11.1 34896 2058634 12.6 20578 1409528.7 12.1 32574 1439336.1 12.2 30589 1635230.6 12.3 26565 1741022.8 12.3 16590 1043630.3 12.2 9354 990422 12 14115 907130.8 11.9 17992 1067935.1 11 7741 6207 Diagnostic Supplies has expected sales of 194,400 units per year, a carrying cost of $6 per unit, and an ordering cost of $8 per order. (a) What is the economic order quantity? Economic order quantity units (b-1) What is average inventory? Average inventory units (b-2) What is the total carrying cost? (Omit the "$" sign in your response.) Total carrying cost $ Assume an additional 80 units of inventory will be required as safety stock. (c-1) What will the new average inventory be? Average inventory units (c-2) What will the new total carrying cost be? (Omit the "$" sign in your response.) Total carrying cost $ which values of x are solution to the equatiob below 4x2-30=34 Job value may include all the following EXCEPT: ____. and/or, or i (minimum wage).its value in the external marketexternal market ratesits relationship to some other set of rates that have been agreed upon through collective bargainingits relationship to government legislation its relationship to a set of rates that have been agreed upon through a negotiation process When companies look at what they can pay their employees, they look at the productivity of their employees. Productivity is defined here as production divided by the number of employees. We know that in economics there are generally certain S-shaped links between production and short-term labor use. During the Covid period, statistics showed that productivity improved, even though labor consumption had contracted. This was caused by ..a. If the average output is lower than the marginal output, the reduction in the labor force will increase the average output and productivity.b. That whenever Malthus' law of diminishing margins applies, the reduction of labor will increase productivity at S-shaped output.c. Two of the others are correct.d. If the positive marginal output is lower than the average output, the reduction in the labor force will increase the average output and productivity.e. That in the area of specialization and division of labor (returns to specialization) in relation to labor and production, the reduction of labor will increase productivity. Why do we perform the ANOVA in experiments with more than 2 conditions of the IV rather than simply using multiple t-tests? a. The omnibus ANOVA is not any better than running multiple t-tests. b. The omnibus ANOVA shows us which group(s) are significantly different from the rest, unlike multiple t-tests. c. 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The P(-1.96 z -1.4) equalsa. 0.4192b. 0.0558c. 0.8942d. 0.475 Which is NOT one of the primary responsibilities of the addictions counselor?A)Having resources and lists of and information on all self-help groups in the client's community.B)Collaborating with the client to determine if the group is an appropriate match.C)Having familiarity with groups,the process,the aims and goals,and membership composition.D)Collaborating with group leaders to ensure the client's progress in the group. factor the gcf: 12x3y 6x2y2 9xy3. 3x2y(4x2 2xy 3) 3xy(4x 2xy 3y2) 3xy(4x2 2xy 3y2) 3x2y(4x3y 2x2y2 3xy3) Why is ethical decision-making essential in an organization,and what are the possible effects that ethicalviolations/unethical behaviors can have on the organization and itsstakeholders. An air-track glider attached to a spring oscillates between the10 cm mark and the 60 cm mark on the track. The glider completes 10 oscillations in 33 s. What are the (a) period. (b) frequency,(c) angular frequency.(d) amplitude. and (c) maximum speed ofthe glider As the CIO of a ___________ convibce the CEO why be needs to be involved in IT related issues. Let v,wRn. If |v=w, show that v+w and vw are orthogonal (perpendicular). which type of actor was not one of the four types of actors mentioned in the video a brief overview of types of actors and their motives? at the neutral point of the system, the ___ of the nominal voltages from all other phases within the system that utilize the neutral, with respect to the neutral point, is zero potential. NO LINKS!! URGENT HELP PLEASE!!!!Find the probability. 30. You flip a coin twice. The first flip lands heads-up and the second flip lands tails-up. 31. A cooler contains 10 bottles of sports drinks: 4 lemon-lime flavored, 3 orange-flavored, and 3 fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink. Driving forces analysisA. helps managers identify which key success factors are most likely to help their company gain a competitive advantage.B. indicates to managers what newly-developing external factors will have the greatest impact on the industry over the next several years.C. identifies which strategic group is the most powerful.D. identifies which strategic group is the most powerful.E. helps managers identify which of the five competitive forces will be the strongest driver of industry change. You are proud of your success. Your products are good, and you have developed valuable new product development and production process know-how. Moreover, you have also established good relationships with your employees and with the community around the small factory. You do not want to lose everything. Therefore, you told your friend and the Vietnamese CEO that you will consider all their suggestions. You recognize they may help you to remain competitive and to grow more rapidly. However, at the same time, you are also aware that all of them present potential problems. You are stuck with a dilemma in your mind. You must ponder all the kinds of risks and opportunities the proposals may represent and think about possible other ways to solve the problems. You must try to find the best trade-off from a business point of view but also from an ethical and social responsibility perspective.The best way to make decisions is to look at all the proposals and assess the opportunities and threats they represent to your business. Then, you must devise the best strategy in the short, medium, and long term. A meeting takes place between a diplomat and fourteen government officials. However, four of the officials are actually spies. If the diplomat gives secret information to one of the attendees at random, what is the probability that secret information was only given to the real officials (no spies )?