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insens350 [35]
3 years ago
11

TexFormula1" title="\sqrt[3]{1000} + \sqrt[3]{0.027} - \sqrt[3]{125}" alt="\sqrt[3]{1000} + \sqrt[3]{0.027} - \sqrt[3]{125}" align="absmiddle" class="latex-formula"> is equal to?
Plz follow ,send invite for friend.
Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0
Step 1: calculate the cube roots, convert the decimal into a fraction, and calculate the cube roots again

10 + 3 square root 27/1000 - 5

Step 2: calculate the cube root

10 + 3/10 -5

Step 3: subtract the #’s

5 + 3/10

Step 4: calculate and you get

53/10


Answer: 53/10

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Which would be a good estimate for the tax on $97.95 if the tax is 9.5%?
Ahat [919]
It would be $10. There is a formula to this "madness". Divide $97.95 by 9.5%. Ignore the rest of the numbers. (I'm pretty sure it has like 7 or 8, but I only went up to 3. Just make sure you have have the whole number, $10). Hope this helps.
7 0
3 years ago
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The average and standard deviation of a measurement is 15.0 ± 5.0. if 100 students measured the value, how many would you expect
AURORKA [14]

Solution: We are given:

\mu=15, \sigma=5

Using the empirical rule, we have:

\mu \pm \sigma covers 68% of data.

Also the percentage of values below mean = Percentage of values above mean = 50%

Now, let's find the z score for x=20

z=\frac{20-15}{5}=1

Therefore, the percentage of values greater than 1 standard deviation above mean 50\% - \frac{68\%}{2} =50\%-34\%=16%

Expected number of students = 16% of 100 = 16


4 0
4 years ago
A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr
Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. 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.

Random voting:

So 50% of voting yes, 50% no, so p = 0.5

15 members:

This means that n = 15

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

p = P(X = 0) + P(X = 15)

In which

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

P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003

P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003

So

p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006

0.006% probability that the final vote count is unanimous.

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Answer:

..?

Step-by-step explanation:

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