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1 year ago

I need help identifying if this is a 90,180,270 degree transformation

Mathematics

1 answer:

Arte-miy333 [17]1 year ago

6 0

$\begin{gathered} Choosing\text{ one point} \\ K(-1,-4) \\ K^{\prime}(1,4) \\ It\text{ means} \\ K^{\prime}=K(-x,-y) \\ Hence \\ This\text{ is a 180\degree transformation} \end{gathered}$

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If we sample from a small finite population without replacement, the binomial distribution should not be used because the event

seropon [69]

Answer:

5/4324 = 0.001156337

Step-by-step explanation:

To better understand the hyper-geometric distribution consider the following example:

There are 100 senators in the US Congress, and suppose 60 of them are republicans so 100 - 60 = 40 are democrats).

We extract a random sample of 30 senators and we want to answer this question:

What is the probability that 10 senators in the sample are republicans (and of course, 30 - 10 = 20 democrats)?

The answer using the h-g distribution is:

$\large \frac{\binom{60}{10}\binom{100-60}{30-10}}{\binom{100}{30}}=\frac{\binom{60}{10}\binom{40}{20}}{\binom{100}{30}}$

Now, imagine there are 56 senators (56 lottery numbers), 6 are republicans (6 winning numbers and 50 losers), we extract a sample of 6 senators (the bettor selects 6 numbers). What is the probability that 4 senators are republicans? (What is the probability that 4 numbers are winners?).

<em>As we see, the situation is exactly the same,</em> but changing the numbers. So the answer would be

$\large \frac{\binom{6}{4}\binom{56-6}{6-4}}{\binom{56}{6}}=\frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}$

Now compute each combination separately:

$\large \binom{6}{4}=\frac{6!}{4!2!}=15\\\\\binom{50}{2}=\frac{50!}{2!48!}=1225\\\\\binom{50}{6}=\frac{50!}{6!44!}=15890700$

and now replace the values:

$\large \frac{\binom{6}{4}\binom{50}{2}}{\binom{56}{6}}=\frac{15*1225}{15890700}=\frac{18375}{15890700}=\frac{5}{4324}$

and that is it.

If the decimal expression is preferred then divide the fractions to get 0.001156337

6 0

3 years ago

Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? (1 point) A ri

dlinn [17]

Answer:

m 36.606

Step-by-step explanation:

90*sin24

90*0.406

is equal to 36.606

approximately 37

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2 years ago

GUYS QUICK! what is the surface area of a sphere that has a radius of 5 cm

alisha [4.7K]

Answer:

100 pi cm^2

or approximately 314 cm^2

Step-by-step explanation:

The surface area of a sphere is given by

SA = 4 pi r^2

The radius is 5

SA = 4 *pi * 5^2

SA = 4*pi(25

SA = 100 pi cm^2

If pi is 3.14

SA = 100 *3.14 = 314 cm^2

4 0

3 years ago

Read 2 more answers

The average sunflower has 34 petals. What is the best estimate of the total number of petals on 57 sunflowers?

stellarik [79]

Your initial instinct would be to solve this problem with this solution. 34 x 57 = 1,938 petals.

However, the word estimate is present; therefore, we have to consider that we need to get the approximate number and not the exact number of petals.

There is a general rule regarding estimation or approximation. You have to round it to the nearest place you have based on. In this problem we round it off to the nearest tens place.

If the number is below 5, you round it down: 34 is rounded down to 30 petals.

If the number is above 5, you round it up: 57 is rounded up to 60 sunflowers.

Thus, your equation would be : 30 x 60 = 1,800 petals (best estimate)

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3 years ago

Solve the equation for all real solutions in the simplest form. -5z^2-3z-11=-6z^2

horsena [70]

Answer:

-3z-11=11z^2

Step-by-step explanation:

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2 years ago