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ankoles [38]
3 years ago
13

Find an equation of the plane that passes through the origin and its perpendicular to the vector [1,-2,5]

Mathematics
1 answer:
Volgvan3 years ago
8 0

Answer:

x - 2y + 5z = 0

Step-by-step explanation:

The standard equation is of the form, Ax + By + Cz = 0

The equation of the plane that passes through the origin(0, 0, 0)  and is perpendicular to [1, -2, 5] is

A = 1, B = -2, C = 5

x = y = z = 0 (at origin)

A(x-0) + B(y-0) + C(z-0) = 0

(x - 0) -2(y-0) + 5(z-0) = 0

x - 2y + 5z = 0

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Beth gets a sum of 5 when she rolls two fair number cubes. What is the probability that one of the fair number cubes is a 1?
ira [324]

Using it's concept, it is found that there is a 0.5 = 50% probability that one of the fair number cubes is a 1.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

The outcomes of the pair of cubes that result in a sum of 5 are as follows:

(1,4), (2,3), (3,2), (4,1).

Of those 4 outcomes, 2 involve a number 1, hence the probability is given by:

p = 2/4 = 0.5.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

6 0
1 year ago
Find (r-s) (t-s) + (s-r) (s-t) for all numbers r, s, and t. (a) 0 (b) 2 (c) 2rt (d) 2(s-r) (t-s) (e) 2(r-s) (t-s)
lyudmila [28]
Notice that the 2 expressions have 2 common terms.

(r-s) is just (s-r) times (-1)

similarly

(t-s) is just (s-t) times (-1)

this means that :

(r-s) (t-s) + (s-r) (s-t)=-(s-r)[-(s-t)]+(s-r) (s-t)

the 2 minuses in the first multiplication cancel each other so we have:

-(s-r)[-(s-t)]+(s-r) (s-t)=(s-r) (s-t)+(s-r) (s-t)=2(s-r) (s-t)

Answer:

d)<span>2(s-r) (t-s) </span>
3 0
3 years ago
Read 2 more answers
There are 12 blue marbles and 8 red marbles. find the probability of selecting one item
Diano4ka-milaya [45]

Answer:

selecting one item? If you mean each color:

40% chance for a red marble / 2/5 chance

60% chance for a blue marble / 3/5 chance

Step-by-step explanation:

Because there are 12 blue marbles and 8 red marbles, we would total them to see how many marbles there are in total. There are 20 in total, but to find the probability, if we put all 20 marbles in a bag (blue and red), and we picked a marble at random, there are 8 red marbles and 12 blue marble in that bag. The probability that I will choose red marbles is 8/20 (or 8 red marbles out of 20 total marbles), and for blue marbles, it would be 12/20 (or 12 blue marbles out of 20 total marbles). Simplify both expression to 2/5, and 3/5 respectively. Finally, if you need percentage, just multiply the denominator by 5 to get it to a hundred, and do the same to the numerator. This way you don't change the value of the expression.

8 0
3 years ago
The orbit of a comet in a video game can be defined by the equation (x - 56)^2/150 + (y - 28)^2/256 = 1. Which of the following
ss7ja [257]

Answer:

C & E

Step-by-step explanation:

4 0
3 years ago
Arithmetic and Geometric Sequences (Context)
V125BC [204]

The formula for compound interest

A = P( 1 + r/n) ^ (nt)

A is the amount in the account at the end

P is the principal balance or the amount initially invested

r is the annual interest rate in decimal form

n is the number of times it is coupounded per year

t is the number of years

A = 1800 ( 1+ .0375/1) ^ (1*6)

A = 1800 ( 1.0375)^6

A = 2244.92138

Rounding to the nearest cent

A = 2244.92

7 0
1 year ago
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