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Mathematics

1 answer:

oksano4ka [1.4K]2 years ago

5 0

Answer:

Step-by-step explanation:

1. Move circle with center X, 2 units to the right and 8 units down to produce circle with radius 6 and center at the origin

2. Dilate this circle with a factor of 1/2 (or compress this circle with a factor of 2) to produce a circle with radius 3

3. Now move this circle 4 units to the right and 2 units up to produce circle Y.

CircleX can be transformed into circle Y by translations and a dilation, therefore the two circles are similar

You might be interested in

Distribute and simplify these radicals. 12 x(-1+ √5)

Serga [27]

Hello there!

Here is the answer worked out for you!
12x[-1+sqrt(5)]
-12x+12xsqrt(5)

Remember that you can only add like terms so you can't add -12x to 12xsqrt(5). The radical makes it an unlike term.

I hope this helped and best wishes!

5 0

3 years ago

Read 2 more answers

Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

Are A and B mutually exclusive events?

No since their intersection is not empty, for example (3,1) belongs to both A and B

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

A∩B={(3,1),(3,3),(4,1)} so P(A∩B) = 3/36

whereas

P(A)P(B) = (6/36)(21/36) = (1/6)(7/12)=7/72

So A and B are not independent.