All categories

2 years ago

If point k is at (-3,2) where will it be when it is reflected over the line y=1 and then rotated 90 degrees?

Mathematics

1 answer:

Andrei [34K]2 years ago

3 0

Answer:

(0,-3)

Step-by-step explanation:

(-3,2) reflected over the line y=1 is (-3,0)

Now rotated 90 degrees over what, and in which direction?

Im going to assume that the rotation is counter clockwise over the origin because that is standard when not mentioned. ¯\_(ツ)_/¯

That would be: (0,-3)

Yw! :D

You might be interested in

Richard has just been given an l0-question multiple-choice quiz in his history class. Each question has five answers, of which o

myrzilka [38]

Answer:

a) 0.0000001024 probability that he will answer all questions correctly.

b) 0.1074 = 10.74% probability that he will answer all questions incorrectly

c) 0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

d) 0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of any other question. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Each question has five answers, of which only one is correct

This means that the probability of correctly answering a question guessing is $p = \frac{1}{5} = 0.2$

10 questions.

This means that $n = 10$

A) What is the probability that he will answer all questions correctly?

This is $P(X = 10)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} = 0.0000001024$

0.0000001024 probability that he will answer all questions correctly.

B) What is the probability that he will answer all questions incorrectly?

None correctly, so $P(X = 0)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

0.1074 = 10.74% probability that he will answer all questions incorrectly

C) What is the probability that he will answer at least one of the questions correctly?

This is

$P(X \geq 1) = 1 - P(X = 0)$

Since $P(X = 0) = 0.1074$ , from item b.

$P(X \geq 1) = 1 - 0.1074 = 0.8926$

0.8926 = 89.26% probability that he will answer at least one of the questions correctly.

D) What is the probability that Richard will answer at least half the questions correctly?

This is

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{10,5}.(0.2)^{5}.(0.8)^{5} = 0.0264$

$P(X = 6) = C_{10,6}.(0.2)^{6}.(0.8)^{4} = 0.0055$

$P(X = 7) = C_{10,7}.(0.2)^{7}.(0.8)^{3} = 0.0008$

$P(X = 8) = C_{10,8}.(0.2)^{8}.(0.8)^{2} = 0.0001$

$P(X = 9) = C_{10,9}.(0.2)^{9}.(0.8)^{1} \approx 0$

$P(X = 10) = C_{10,10}.(0.2)^{10}.(0.8)^{0} \approx 0$

$P(X \geq 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0264 + 0.0055 + 0.0008 + 0.0001 + 0 + 0 = 0.0328$

0.0328 = 3.28% probability that Richard will answer at least half the questions correctly

8 0

3 years ago

Is -x+4y=-2 a direct variaition

Kruka [31]

No, because something extra is being added/divided and there are too many variables on one side

3 0

3 years ago

Make three contrectic circles with radius is 2.4cm,3.8cm and 5.4cm

wariber [46]

Answer:

uxuccyccvivvivucyxtc

8 0

3 years ago

A) Write the following in standard form and find A, B and C

alex41 [277]

Answer:

a) 2x -y = -5; A=2, B=-1, C=-5
b) y = 2x +5

Step-by-step explanation:

a) Standard Form is ...

Ax + By = C

where A > 0 and A, B, C are mutually prime.

To get that form, we can add 2x-5 to both sides of the equation:

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

-5 = 2x -y

Then we can swap sides of the equal sign:

2x -y = -5 . . . . . . standard form

Matching this to the generic standard form equation, we find ...

A = 2

B = -1

C = -5

b) We can solve for y by adding 2x+y to both sides of the equation:

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

y = 2x +5 . . . . . . slope-intercept form

5 0

3 years ago

X <-4 graphed as an inequality on a number line

iris [78.8K]

See it is < and not ≤ so we don't include -4

put a circle around -4 but don't shade it in
to get there, move 4 units left from 0

then we see x is less than -4
so shade to the left of the circle

7 0

3 years ago