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mote1985 [20]
2 years ago
13

I need help with this question

Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
6 0
The answer is: 1/64

The only advice I can give you when solving such problems is to memorize your exponent rules.


The exponent rules I used to solve this problem was the quotients rule and the negative exponents rule.


Quotients rule: x^m/x^n= x^m-n

Negative Exponents rule: x^-n= 1/x^n

laiz [17]2 years ago
5 0

Answer:

Option B 1/64

Step-by-step explanation:

\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}

Hope this helps

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Find the complex conjugate of the given number -1+4i
adell [148]
With every imaginary term, there are 2 complex conjugates with opposing signs. So if I had the term a+bi, the complex conjugate would be a-bi. So given your example of -1+4i, the complex conjugate would just be the opposite sign, now negative, to get -1-4i.
3 0
3 years ago
a hose fills a hot tub at a rate of 3.59 gallons per minute. how many hours will it take to fill a 309 gallon hot tub​
iris [78.8K]

Answer:

about 1.43 hours.

Step-by-step explanation:

You can use your original equation to find how many minutes it takes to fill up the 309 gallon hot tub.

3.59x=309

x= how many minutes it takes to fill up a certain gallon.

Divide both sides by 3.59 to isolate x and you get x=86.0724234.

That is how many minutes it takes.

The question asks for how many hours, so that divide 86.0724234 by 60 since there are 60 minutes in an hour, and you get 1.43454039 or 1.43 hours.

There is also another way which is called dimensional analysis, but I don't know if you guys learned that yet.

Hope my answer helps!

6 0
3 years ago
Can some one help me answer the question<br> 5/6=1/3+d
maxonik [38]

Answer:

d=.5

Step-by-step explanation:

Subtract 1/3 from 5/6 and you will get your answer which is .5

4 0
3 years ago
Read 2 more answers
A^2+b^2=c^2<br> a^2+10^2=18^2
Papessa [141]

Answer:

\sqrt[-4]{14}

Step-by-step explanation:

7 0
3 years ago
It is known that 50% of adult workers have a high school diploma. If a random sample of 8 adult workers is selected, what is the
son4ous [18]

Answer:

85.56% probability that less than 6 of them have a high school diploma

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school diploma, or they do not. The probability of an adult having a high school diploma is independent of other adults. 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.

50% of adult workers have a high school diploma.

This means that p = 0.5

If a random sample of 8 adult workers is selected, what is the probability that less than 6 of them have a high school diploma

This is P(X < 6) when n = 8.

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

In which

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

P(X = 0) = C_{8,0}.(0.5)^{0}.(0.5)^{8} = 0.0039

P(X = 1) = C_{8,1}.(0.5)^{1}.(0.5)^{7} = 0.0313

P(X = 2) = C_{8,2}.(0.5)^{2}.(0.5)^{6} = 0.1094

P(X = 3) = C_{8,3}.(0.5)^{3}.(0.5)^{5} = 0.2188

P(X = 4) = C_{8,4}.(0.5)^{4}.(0.5)^{4} = 0.2734

P(X = 5) = C_{8,5}.(0.5)^{5}.(0.5)^{3} = 0.2188

P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.0039 + 0.0313 + 0.1094 + 0.2188 + 0.2734 + 0.2188 = 0.8556

85.56% probability that less than 6 of them have a high school diploma

7 0
3 years ago
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