In Problems 15–20, find the distance from P, to P,. 15. P = (0,0,0) and P, = (4, 1, 2) 16. P = (0,0,0) and P, = (1, -2, 3) 17. P = (-1,2, –3) and P, = (0, –2, 1) 18. P, = (-2, 2, 3) and P, = (4,0, –3) %3D %3! %3D %3D 19. Р, 3D (4, -2, - 2) and P, %3D (3, 2, 1) 20. P = (2, –3, -3) and P, = (4, 1, – 1)

Q: Problem #7: There is a line through the origin that divides the region bounded by the parabola y = x…

A: Solution:- Area is bounded by the parabola y=x-x2 and x-axis.   let line  y=mx divide the bounded…

Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: If the first line has the form Ax + By + C = 0 the second line has the form Dx + Ey + F = 0 the…

Q: 6. Aliza says that there is no tangent line with a negative slope for the. Stella disagrees. Who is…

A:

Q: What are the coordinates of the points in the graph of y² –x²+ 6x – 13=0 in which the tangent line…

A:

Q: We have 30 items to compare, but this time two of those items tend to cause bigger problems in th…

A: From the given information, There are 30 items to compare. Among the 30 items, 2 items are tend to…

Q: 9. Find the family of the curve whose slope at any point is V√x + √x and also the member which…

A:

Q: aber of linearly 1 is

A:

Q: (a) In scatterplot 1, does there appear to be a relationship between x and y? There appears to be a…

A: It is an important part of statistics. It is widely used.

Q: If the plotted points spread all over the graph, then there exists. negative Jy O positive no O None…

A:

Q: According to your conclusion above what type of error can occur?

A: Type I error (α): The probability of rejecting the null hypothesis when it is actually true. Type II…

Q: For each of the following, identify the exam score that should lead to the better grade. A score of…

A: Given :A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ =…

Q: Discuss the pros and cons of Chebyshev’s rule.

A:

Q: The correct size of a nickel is 21.21 millimeters. Based on that, the data can be summarized into…

A: a) The number of children that drew the nickel too small is 45.

Q: Is there a relationship between X and Y?

A: If the variables in the study are measured on ordinal scale, then researchers employ Spearman's rho…

Q: If the coefficient of determination (R2) value is 0.99, it means the 99% of ____________ of the…

A: We have to fill blanks. If the coefficient of determination (R2) value is 0.99, it means the 99% of…

Q: Suppose X~N(102,16) and Z~N(0,1). If z = -0.71, what is it on an X scale?

A: Solution: From the given information, X follows normal distribution with mean µ=102 and standard…

Q: Show that the normal line at any point on the circle x2+ y2 = r2  passes through the origin.

A: Consider the given equation of circle as x2+y2=r2

Q: What are the coordinates of the points in the graph of y2-x²+6x – 13=0 in which the tangent line is…

A:

Q: If the alleles A and B of the cystic fibrosis gene occur in a population with frequencies p and 1 -…

A:

Q: 3. If x1,x2, ... ,x, be a r.s from N(u, 1) ,show that -- is an unbiased estimator for u2 ? 1

A: x1 , x2 , ... , xn are randomly sampled from N(μ,1)

Q: Find the equation of the normal line to the graph of y^2-2x-4y-1=0 at (-2,1).

A:

Q: 2. Jim and Catherine are again interested in adjusting the 0-1 variables from Case 2.2 so that…

A: Given that there are two 0-1 variables. The number of combination is 4. 1. Use a RISKSIMTABLE…

Q: Find the equation of the normal line at .7 5 * (2,5,3) for )3 نقطة( y=z²-x?

A:

Q: 9. If the coefficient of correlation between two variables x and y is 0.5 and the acute angle…

A:

Q: Write the equation of the normal drawn from the point (1, -2) on the circle x²+y²-4x+6y+11 = 0

A:

Q: Evaluate S(z² + 3z)dz along the straight line from (2,0) to (2, 2) and then from (2, 2) to (0, 2).

A:

Q: The line that is normal to the curve x + 3xy - 4y² = 0 at (3,3) intersects the curve at what other…

A: Given: x2+3xy-4y2=0 at (3,3)

Q: 4. Find the equation for the line tangent to (persamaan garis şinggung) a. y= x2- 3 x + 5 at the…

A: The objective of the question is determine the equation of the tangent line.

Q: If I let X1, X2, . . . , Xn ∼i.i.d Exp(λ) with n > 1. how do I find unbiased estim

A: Exponential distribution: A random variable X is said to have an exponential distribution with a…

Q: What is the image of the horizontal line through the point in under e ?

A:

Q: Show that the normal line at any point on the circle x2 + y2 = r2 passes through the origin

A: Assume that we have the circle of equation x2+y2=r2 and we want to get the normal equation at x0,y0.…

Q: Problem 20 To find the length of the curve defined by y=(2x^4)+9x from the point (-3,135) to the…

A: length of the curve defined by y=(2x4)+9x from x=-3 to x=3 is given by  So, we find dy/dx

Q: What are the coordinates of the points in the graph of y-x+6x – 13=0 in which the tangent line is…

A:

Q: answer the following:

A: Testing for “age and educ”:   State the null and alternative Hypotheses:   Null Hypothesis:   H0:…

Q: If the curve is defined by y= x⁴ - 8x³ + 22x²-24x+9, then what are the value/s of x for which the…

A:

Q: Suppose that a consumer cannot vary hours of work as he or she chooses. In particular, he or she…

A: a> If the wage rate increases, the work hours of the consumer increase(given the maximixing…

Q: If the life expectacy in county A is 65 years with CI of (55, 75) and in county B is 87 years with…

A: The life expectancies of two counties are given.

Q: in a 2 party race, party 1 is leading in the age category 45 years and under by 10% and that…

A:

Q: The curve defined by ax^3 + bx^2 - 4x + 12 cuts the x-axis at three points. Two of them are known: 1…

A: We will use the knowledge that at x-axis we always have y=0 and here y=ax^3 + bx^2 - 4x + 12

Q: The correlation coefficient O a. can be less than -1 b. is the same as the covariance C. cannot be…

A: We have to find the coreation coefficient.

Q: At what point on the graph of y = (x^2)/2 is the tangent line parallel to the line 2x - 4y = 3? O…

A:

Q: What is the slope of the tangent line to the graph of the solution of y' = 3√√y + 7x³ that passes…

A:

Q: An industrial engineer has found that when she takes a sample of size 5 of a product, 90% of the…

A: Given that.  Probability mass function of X  X 0 1 2 3 4 5 P(x) 90% 3% 2% 2% 2% 1% X=Number…

Q: A group of researchers want to predict life satisfaction score (LS) of some students seven years…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: A distribution with u=55 and o=6 is being standardized so that the new mean and standard deviation…

A: Given, For a score of X = 58, Zold = (58 - 55) / 6 = 0.5 Znew = Zold (x - 50) / 10 = 0.5 or, x…

Q: Show that (2, 4) and (4,8) are both points on y = z- 4x+16, but that (2, 4)+(2, 4) # (4, 8).

A:

Q: 8. Setermine whe ther talwing con litimally or timrge Hhe cerjes Com ver ges absala Hely or 2n +3 n…

A:

Q: 1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of…

A: Since multiple questions are asked, I am answering first question