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dimaraw [331]
3 years ago
7

What is the image of point R after a counterclockwise rotation on 270 degrees about the orgin?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
4 0
I will use ccw for countercloclwise and cw for clockwise for this explination.

A 270 ccw rotation is the EXACT same as a 90 cw rotation.  So to perform a 90 degree cw rotation all that has to be done is swap the x anf y coordinates and change the sign on the y.  As a general form:
(x, y) becomes (y, -x)

In your problem R is at (3, 6) so swap the 3 and 6 to get (6, 3) now change the sign on the 3 to get R' as (6, -3)
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Determine if the events A and B are independent. Show all steps.
zmey [24]

<u><em></em></u>

Answer:

P(A U B )  = \frac{13}{25}

Step-by-step explanation:

<u><em>STEP:-1</em></u>

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

<u><em>STEP:- 2</em></u>

P(A ∩B ) = P(A) P(B)

P(A U B) = P(A) +P(B) - P(A n B )

P(A U B ) = P(A) +P(B) - P(A) P(B)

<u><em>Step(iii):-</em></u>

<u><em></em></u>P(A U B ) = \frac{2}{5}  +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{5} X \frac{1}{5}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{3}{5}  - \frac{2}{25}<u><em></em></u>

<u><em></em></u>P(A U B ) = \frac{15-2}{25} = \frac{13}{25}<u><em></em></u>

<u><em /></u>

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4 0
3 years ago
Date
ololo11 [35]

Answer: 22%, 0.22, 11/50

Step-by-step explanation:

As a percent, 44/200 × 100 =

0.22 × 100

= 22%

As a decimal, divide 44 by 200 using a calculator; 44÷200 = 0.22

As a fraction in the simplest form, 44/200, we find the greatest common factor for the numerator and denominator, which is 4, divide 4 by numerator = 11

Divide 4 by denominator = 50

44/200 as a fraction = 11/50

5 0
3 years ago
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Q1

Answer:

x \leqslant  \frac{5}{3}

Step-by-step explanation:

3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant  \frac{5}{3}

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

6 0
3 years ago
Tim's phone service charges $26.97 plus an additional $0.25 for each text message sent per month. If Tim's phone bill was $33.22
Stels [109]
B. $0.25x+26.97=$33.22
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3 years ago
What is the y-axis in math?​
Oduvanchick [21]

Answer:

y-axis. noun

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a reference axis, usually vertical, of a graph or two- or three-dimensional Cartesian coordinate system along which the y- coordinate is measured.

8 0
2 years ago
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