Find the product. (s + t)(5s – 7t)

Mathematics

2 answers:

nevsk [136]3 years ago

7 0

Answer and Step-by-step explanation:

Distribute the s, then distribute the t, then finally simplify.

$5s^2 - 7st\\5st - 7t^2\\\\5s^2 - 7st + 5st - 7t^2\\\\5s^2 - 2ts = 7t^2$ <-- This is the answer.

#teamtrees #PAW (Plant And Water)

joja [24]3 years ago

6 0

Answer:

5s^2 - 30st - 7t^2

Step-by-step explanation:

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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?).

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

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