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3 years ago

Two non-coplanar lines ? intersect

1 answer:

5 0

Never. If they are not on the same plane, then they cannot intersect because 2 lines and 1 point are always on a plane, in this case the original line, then a point in the middle to the point that creates the other line would be included, hence if they are non-coplaner then they cannot intersect.

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An architect in Brussels measures something to be 2.5 feet (using the Brussels measurement). How many feet is this in Aalst (usi

borishaifa [10]

Answer:

$2.487F$

Step-by-step explanation:

From the question we are told that

Architect Measures 2.5 feet (using the Brussels measurement)

Generally in Brussels $1F=275.75mm$

Therefore

$2.5F=689.375mm$

Generally in Aalst $1F=277.2mm$

Therefore Mathematically converting to feet in Aalst measurement we get

$689.375mm*\frac{1}{277.2} =2.487F$

6 0

3 years ago

Line l has a slope of 98. The line through which of the following pair of points is perpendicular to l?

zysi [14]

m =( Y2 - Y1)/ (X2-X1)

m =( 3-(-5))/ (-6-3)

m = - 8/9

I am assuming you meant a slope of 9/8 in your original question, so the points perpendicular to I are answer D.

Perpendicular means the slope is opposite reciprocal of your first slope given.

8 0

3 years ago

According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 8 mortgages

r = number of success = exactly one

p = probability of success which in our question is % of U.S.

mortgages those were delinquent in 2011, i.e; 8%

<em>LET X = Number of U.S. mortgages those were delinquent in 2011</em>

So, it means X ~ $Binom(n=8, p=0.08)$

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

P(X = 1) = $\binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}$

= $8 \times 0.08 \times 0.92^{7}$

= 0.357

<u><em>Hence, the probability that exactly one of these mortgages is delinquent is 0.357.</em></u>

4 0

3 years ago

Expand.<br> If necessary, combine like terms.<br> (x+3)(x – 3) = ?

Kobotan [32]

Step-by-step explanation:

multiply it

x²-3x+3x-9=0

x²-9=0

x²=9

square root both side we get

x=3

5 0

3 years ago

Read 2 more answers

Which represents the solution(s) of the graphed system of equations, y = x2 x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and

Marysya12 [62]

The solution to the system of equation are (0, -2) and (1, 0)

<h3>Solution to system of equations</h3>

System of equations are equations that has unknown and more than 1 equations.

Given the system of equations

y = x^2 + x – 2

y = 2x – 2

Equate both expressions

x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1

If x = 0

y = 0 - 2 = -2

If x = 1

y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)

Learn more on system of equation here: brainly.com/question/13729904

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7 0

2 years ago