consider the plane which passes through the three points and find the vector normal to this plane which has the form:(-7,2,-1)(-2,1,-5)(-2,2,-3)

The quality and credibility of the risk analysis requires a PM to define risk probability and impact, which can then be made into a Probability and Impact Matrix.

The quality and credibility of risk analysis in project management require a comprehensive approach that includes defining risk probability and impact. The probability of a risk event is the likelihood of it occurring, and impact is the magnitude of its consequences on project objectives. Once these factors are defined, they can be used to create a Probability and Impact Matrix, also known as a Risk Matrix, which is a useful tool for assessing and prioritizing risks.

The Probability and Impact Matrix is a grid that lists the probability of an event occurring on one axis and the impact of that event on project objectives on the other axis. The intersection of these two factors represents the level of risk associated with that event. By assigning a probability and impact score to each risk, the PM can prioritize them and allocate resources to mitigate or manage them accordingly.

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Answer: 2572.44

V=(4/3)πr^3 (the formula for volume of sphere)

plug in 17/2 for r  (17 is the diamater and r is the radius which is half of the diamater)

Put this in calc

(4/3)π17/2^3

You get 2572.44

The ratio of x to y in the equation 6\(x^{2}\) = 7xy + 20\(y^2\), where x > 0 and y > 0, is 2:5.

To find the ratio of x to y, we need to manipulate the given equation and isolate x and y. We start by rearranging the equation to the standard form of a quadratic equation: 6\(x^{2}\)- 7xy - 20\(y^2\) = 0. This equation represents a quadratic expression in terms of x and y. To factorize it, we look for two numbers that multiply to -120 (product of 6 and -20) and add up to -7 (coefficient of xy term). After some trial and error, we find the numbers to be -15 and 8. Therefore, the equation can be factored as (2x + 5y)(3x - 4y) = 0. From here, we have two possibilities: 2x + 5y = 0 or 3x - 4y = 0. If we solve the first equation for x, we get x = (-5/2)y. Similarly, solving the second equation for x gives x = (4/3)y. Comparing these ratios, we find that the ratio of x to y is 2:5.

In conclusion, in the given equation 6x^2 = 7xy + 20\(y^2\), the ratio of x to y is 2:5. This is obtained by factoring the equation and solving for x in terms of y. The ratio indicates that for every 2 units of x, we have 5 units of y.

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Answer:

See attached worksheet.

Step-by-step explanation:

See attached worksheet for the table and graph.

I assume that "functation notation: simply means using x and y:  

  y = 2x + 3

The relationship between the number of T-shirts and cost is defined by y = 2t + 3, where:

y is the total cost,

x is the number of t-shirts,

the 2 is the cost for 1 t-shirt ($/t-shirt), and

3 is a one=time charge of $3 for each order.

The graph (attached) shows a straight line with a y-intercept of 3, the initial order fee.  It is linear since the cost of a t-shirt remains the same egardless of order size.

Answer:

She is 20 Years Old

Step-by-step explanation:

by solving it lol

Answer: this is the answer it is a screenshot of the graph

Answer:

30 is answer bro

Step-by-step explanation:

hope it wI'll help u

Sorry dude, diagram not visible, send a clear pic so I will help uh.

Answer:

7.6 for delta math trust me

Step-by-step explanation:

Answer:

x = 65

y = 71

z = 44

Step-by-step explanation:

y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent

Answer:

35 ÷ 5 = 7dogs      Equation: 5x = $35    

Step-by-step explanation:

5 times the amount of dogs she walked equals $35

Just divide 35 by 5 and it will give you how many dogs she walked!

Hope this helps!

Answer:

f(x) = 3x^3 - 3x^2 - 6x

Step-by-step explanation:

I think this is the answer- I did this a while ago.

Answer:

11

Step-by-step explanation:

The value of length of RP from the figure is 111.

From the given figure we can see that two circles.

For smaller circle,

the radius is = 11 units.

So, WQ = WV = WU = 11 [Since radii of same circle]

Now, VP = 50

So, WP = WV + VP = 11 + 50 = 61 units.

We know that the tangent at any point on circle is perpendicular to the radius of the circle passing through that point.

So, here triangle WPU is a right angled triangle with right angle at point U.

So, WP is the hypotenuse. So by Pythagoras theorem,

WP² = PU² + WU²

PU² = WP² - WU² = 61² - 11² = 3600

PU = 60 [Since length cannot be negative so we cannot take the negative result of square root.]

From the figure, TP = TU + PU = 51 + 60 = 111 units.

We also know that from an external point, if we draw two tangents to a circle then they are equal.

So, here from external point P we drew two tangents to the circle with center S and that are TP and RP.

So, RP = TP = 111.

Hence the value pf RP is 111.

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The question is incomplete. The complete question will be -

There is not enough evidence

An indicator of how much a group of numbers vary or are dispersed is the standard deviation. [1] When the standard deviation is low, the values are more likely to fall within a narrow range, also known as the expected value, whereas when the standard deviation is high, the values tend to be closer to the mean.

For  1.5 moles substrate concentration per liter

Reaction ( n2 ) = 15 runs

average velocity ( x2 ) = 7.5 micromoles per 30 minutes

standard deviation ( s2 ) = 1.5

For 2.0 moles substrate concentration per liter

Reaction( n1 ) = 12 runs

(x1) = 8.8 micromoles on average per 30 minutes

standard deviation ( s1 )  = 1.2

Show Reason to believe that this increase in substrate conc causes an increase in mean velocity

Hypothesis test

H0 : μ1 - μ2 = 0.5

H1 : μ1 - μ2  > 0.5

significance level ( ∝) = 0.01

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Answer:

y = -2x - 5

Step-by-step explanation:

First rewrite the second equation into y = mx + b format:

x - 2y = 14  

2y = x - 14

y = x/2 - 14/2 (Divide both sides by 2)

y = 1/2x - 7

A line perpendicular to another has the negative reciprocal slope

So the slope of our first equation is -2. (Flip 1/2 = 2, then take the opposite)

Plug in the points (-1, -3) for the x and y coordinates.

x (x coordinate) = -1

y (y coordinate) = -3

slope (m) = -2

-3 = -1(-2) + b

-3 = 2 + b

-3 - 2 = b

b = -5

The equation of the line is y = -2x - 5. Hope this helps! :)

Answer:

y = -2x - 5  or 2x + y = -5

Step-by-step explanation:

Let's find the slope of the given line.  

-2y = -x + 14

y = 1/2(x) -7

m = 1/2

The slope of a line perpendicular is the negative reciprocal of 1/2, which is -2

Now use the point-slope form of a line

y + 3 = -2(x + 1)

y + 3 = -2x - 2

y = -2x - 5  or 2x + y = -5

Answer:

$420

Step-by-step explanation:

Answer:

I give answers I think their correct but as humans we make mistakes so there may be errors

Answer:

56

Step-by-step explanation:

6 : 13

x : 117

117 /13 = 9

6 * 9 = 56

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

When the time needed to complete a final examination is normally distributed with a mean of 79 minutes and a standard deviation of 8 minutes, a) The probability of completing the exam in one hour or less is 0.0087.  b. The probability that a student will complete the exam in more than minutes 60 but less than minutes 75 is 0.3009. c. The number of students expected to be unable to complete the exam in the allotted time is 6 students.

Normal distribution refers to a probability distribution that is symmetric about the mean, illustrating that that data that is near the mean appear are more frequent than data that is far from the mean. In graphical form, the normal distribution forms a bell curve.

In the given normally distributed data with the mean µ = 79 minutes and standard deviation σ = 8 minutes:

a) The probability of completing the exam in an hour or less is given by P(x≤60).

Standardizing the 60 minutes to determine z:

z = (x - µ)/ σ = (60 – 79)/8 = - 2.375

Hence, P(x≤60) = P(z≤-2.375)

From the normal probability table, the probability is:

P(x≤60) = P(z≤-2.375) = 0.0087

b) The probability of completing the exam in more than 60 minutes but less than 75 minutes is given by P(60 < x <75)

Standardizing the 60 and 75 minutes to determine z:

z = (x - µ)/ σ = (60 – 79)/8 = - 2.375

z = (x - µ)/ σ = (75 – 79)/8 = - 0.5

Hence, P (60 < x <75) = P(-2.375 < x < -0.5)

From the normal probability table, the probability is:

P (60 < x <75) = P (-2.375 < x < -0.5) = P(z< -0.5) – P(z <-2.375)

= 0.30954 - 0.00866 =  0.30088 = 0.3009

c) The probability of completing the exam in more than 90 minutes or less is given by P( x ≤ 90)

Standardizing the 90 minutes to determine z:

z = (x - µ)/ σ = (90 – 79)/8 = 1.375

Hence. P( x ≤ 90) =  P(z  ≤  1.375)

From the normal probability table, the probability is:

P (x ≤ 90) = P(z  ≤  1.375) = 0.91621

It means that 91.62% of the class will finish just in time.

Hence, in a class of 60 students, the number of students who will finish in the allotted time is 91.62%* 60 ≈ 54.

The number of students expected to not finish in time = 60 - 54 = 6 students.

Note: The question is incomplete. The complete question is: The time needed to complete a final examination in a particular college course is normally distributed with a mean of 79 minutes and a standard deviation of 8 minutes. Answer the following questions. a. What is the probability of completing the exam in one hour or less (to 4 decimals)? b. What is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes (to 4 decimals)? c. Assume that the class has 60 students and that the examination period is 90 minutes in length. How many students do you expect will be unable to complete the exam in the allotted time (to nearest whole number)?

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The ordered pair representing the preimage and the image is below

preimage      image

k (2, 3)            K' (6, 1)

L (4, 2)            L' (8, -4)

Q (2, 2)           Q' (6, -4)

The position of the image is calculated using the translation rule

(x, y) → (x + 4, y - 2)

preimage  Translation      image

k (2, 3)      (2 + 4, 3 - 2)     K' (6, 1)

L (4, 2)      (4 + 4, -2 - 2)     L' (8, -4)

Q (2, 2)     (2 + 4, -2 - 2)     Q' (6, -4)

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I have to make this unnecessary long because yeah but the correct answer I believe is going to be the second one

a) The 90% confidence interval for the average salary of an entry-level computer engineer is of: (16.28, 83.72).

b) The sample contains the value 80, hence it does not give sufficient evidence that the average salary of all entry-level computer engineers is different from $80,000.

c) The 90% confidence interval for the standard deviation of entry level salaries is of: (6.67, 389.86).

The bounds of the confidence interval are given according to the following rule:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

The sample in this problem is given as follows:

30, 50, 70.

Hence the values of the parameters are given as follows:

\(\overline{x} = 50, s = 20, n = 3\)

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 3 - 1 = 2 df, is t = 2.92.

Then the lower bound of the interval is of:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 50 - 2.92\frac{20}{\sqrt{3}} = 16.28\)

The upper bound of the interval is of:

\(\overline{x} + t\frac{s}{\sqrt{n}} = 50 + 2.92\frac{20}{\sqrt{3}} = 83.72\)

The bounds of the confidence interval for the standard deviation are given as follows:

\(\frac{(n - 1)s^2}{\chi^2_\frac{\alpha}{2}} \leq \sigma \leq \frac{(n - 1)s^2}{\chi^2_{1 - \frac{\alpha}{2}}}\)

The critical values of the chi-square distribution with a confidence level of 90% and 2 df are given as follows:

\(\chi^2 = 0.1026, \chi^2 = 5.9915\)

Hence the lower bound of the interval is of:

2 x 20/5.9915 = 6.67.

The upper bound of the interval is of:

2 x 20/0.1026 = 389.86.

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From the given options, she could be checking two of them:

This is because she is trying to prove that the difference of 105 and one of the numbers is the other number. What we use to prove a substraction is an addition.

Step-by-step explanation:

numbers that can not be written as a fraction

Are you trying to write this from word form and convert it into an equation? If you could provide more details, I would be more than happy to help. Thanks!

A chain letter starts when a person sends a letter to 5 people. So, approximately 19,550 people receive the letter, and around 9,550 people do not send it out.

In a chain letter scenario where each person sends the letter to 5 other people, and assuming that no one receives more than one letter, we can determine the number of people who receive the letter and those who do not send it out.

The first person sends the letter to 5 people. Each of these 5 people then sends it to 5 new people, resulting in a total of 25 people. This process continues, and each subsequent level increases by a factor of 5. So, the number of people who receive the letter can be calculated as follows:

Level 1: 5 people

Level 2: 5 x 5 = 25 people

Level 3: 5 x 5 x 5 = 125 people

Level 4: 5 x 5 x 5 x 5 = 625 people ...

Level n: 5^n

people If the chain ends after 10,000 people send out the letter, we can find the value of 'n' by solving the equation 5^n = 10,000. Taking the logarithm of both sides, we find that n ≈ 6.9. So, the chain ends at the 6th level.

To determine the number of people who receive the letter, we sum the number of people at each level up to the 6th level: Total = 5 + 25 + 125 + 625 + 3,125 + 15,625 ≈ 19,550 people.

As for the number of people who do not send out the letter, it is the difference between the total number of people who received the letter and the number of people who sent it out:

Number of people who do not send out = 19,550 - 10,000 = 9,550 people. So, approximately 19,550 people receive the letter, and around 9,550 people do not send it out.

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Answer:

-1

Step-by-step explanation:

The average rate of change of f(x) is slope because

\(\frac{\int\limits^b_a {(\frac{d}{dx}f(x)) } \, dx }{b-a}=\frac{f(b)-f(a)}{b-a}\)

so,

\(\frac{f(5)-f(0)}{5-0}\\ f(5) = 5^3 - 6(5^2) + 4(5) + 7\\= 2\\f(0) = 7\\\frac{2-7}{5}=\frac{-5}{5}=-1\)