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zaharov [31]
2 years ago
13

Tell what the difference is when you multiply or divide decimals by powers of ten by moving the decimal point.​

Mathematics
1 answer:
egoroff_w [7]2 years ago
7 0

Answer:

The similar shortcut for division works because division is the opposite operation of multiplication—it “undoes” multiplication. If we move the decimal point to the right when multiplying by 10, 100, 1000 and so on, then it is quite natural that the rule for division would work the “opposite” way.

Step-by-step explanation:

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Binomial Probability
ASHA 777 [7]

Answer:

4.39% theoretical probability of this happening

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So 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.

Theoretically, a fair coin

Equally as likely to land on heads or tails, so p = \frac{1}{2} = 0.5

10 coins:

This means that n = 10

What is the theoretical probability of this happening?

This is P(X = 2).

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

P(X = 2) = C_{10,2}.(0.5)^{2}.(0.5)^{8} = 0.0439

4.39% theoretical probability of this happening

6 0
3 years ago
3. What is f(-3) if f(x) = |2x + 1] +5? (1 point) 0 10 12 or -10
kolbaska11 [484]

If f(x) = |2x+1|+5, then f(-3) = |2(-3)+1|+5.  You replace all x's in the function with -3.

   \begin{aligned}f(-3) &= |2(-3)+1|+5\\[0.5em]&= |-6+1|+5\\[0.5em]&= |-5|+5\endaligned}

Finish by evaluating the absolute value and then adding that to the 5 that's behind the absolute value.

Can you finish it from there?

8 0
3 years ago
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