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3 years ago

Which is the simplified form of the expression (6^-2•6^5)^-3

Mathematics

2 answers:

Arisa [49]3 years ago

6 0

Answer:

Step-by-step explanation:

$( {6}^{ - 2} \times {6}^{5} ) ^{ - 3} \\ = ( {6}^{3} )^{ - 3} \\ = {6}^{0} \\ = 1$

sveta [45]3 years ago

4 0

Answer:

6^0

Step-by-step explanation:

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B) The time, T (in minutes) taken for a stadium to empty varies directly as the number of spectators, S. And inversely as the nu

sweet-ann [11.9K]

Answer:

18 minutes

Step-by-step explanation:

Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).

Hence:

T ∝ S; T ∝ 1 / E

Let k be the constant of proportionality. This gives:

T = kS / E

when T = 12 minutes, S = 20000, E = 20. Hence:

12 = k(20000) / 20

20000k = 240

k = 12 / 1000

This gives:

T = $\frac{12}{1000}(\frac{S}{E} )$

When S = 36000, E = 24, we are to calculate the time (T):

$T=\frac{12}{1000} (\frac{36000}{24} )=18\\$

T = 18 minutes

7 0

3 years ago

O please help meeeeeee

Annette [7]

Answer:

what do you need to fing ?

Step-by-step explanation:

djdjd

5 0

3 years ago

Read 2 more answers

The solution of the equation 3d - 6 = 5 is _____.

Marat540 [252]

<span>3d - 6 = 5 --> add 6 to each side
3d = 11 --> divide by three on each side
</span>D = 3.66666666

3 0

4 years ago

Read 2 more answers

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

PLEASE HELP ME !!!!!

Ierofanga [76]

X = 112

Sorry I had to smoosh the image so it would fit.

7 0

3 years ago