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3 years ago

Simplify 5/6i please help

Mathematics

2 answers:

Leni [432]3 years ago

6 0

Answer:

5/6 can´t be simplified

Step-by-step explanation:

avanturin [10]3 years ago

4 0

Answer:

5i/6

Step-by-step explanation:

$\frac{5}{6}i\\\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{5i}{6}$

You might be interested in

Six measurements were made of the magnesium ion concentration (in parts per million, or ppm) in a city's municipal water supply,

Paladinen [302]

Answer:

Yes

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Dataset given: 70, 201 ,199, 202, 173 ,153

We can calculate the sample mean and deviation with the following formulas:

$\bar X = \frac{\sum_{i=1}^n x_i}{n}=166.33$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}}=51.075$

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n=6 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=6-1=5$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,5)".And we see that $t_{\alpha/2}=2.57$

Now we have everything in order to replace into formula (1):

$166.33-2.57\frac{51.075}{\sqrt{6}}=112.742$

$166.33+2.57\frac{51.075}{\sqrt{6}}=219.918$

So on this case the 95% confidence interval would be given by (112.742;219.918)

Is it reasonable to believe that the mean magnesium ion concentration may be greater than 208?

On this case since the confidence interval contains the value 208 and the values above 208 until 219.918 makes sense the statement.

YES

We can conduct an hypothesis test

We need to conduct a hypothesis in order to check if the mean is less than 208, the system of hypothesis would be:

Null hypothesis: $\mu \geq 208$

Alternative hypothesis: $\mu < 208$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{166.33-208}{\frac{51.075}{\sqrt{6}}}=-1.998$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=6-1=5$

Since is a one side left tailed test the p value would be:

$p_v =P(t_{(5)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we fail to reject the hypothesis that the mean is higher or equal than 208 at 5% of significance.

6 0

3 years ago

What is the relationship between the 6s in the number 7,664

Xelga [282]

The answer to your question is 600 and 60

4 0

3 years ago

PLSSSS HELLPPPPP!!!

eimsori [14]

Answer: B, D, and F

Step-by-step explanation:

Hi, so for this question, the phone bill is in an equation. Before doing this problem, make sure to understand what the 2 and 56 mean. The problem says that c is the monthly charge, and m is the number of minutes. This means that 2 is the number of dollars required to pay when you use the phone for one minute. So 2 dollars per minute. The 56 is basically the fee that is just charged for using the phone bill. Meaning that even if you don't use the phone at all, you will still need to pay 56 dollars.

By understanding those info, it should be easier to answer.

For A, it is not correct. if you look, although 2*4 is 8 dollars, but you need to add 56 for the monthly bill. (I think when they say 'your bill' they mean the monthly bill).

For B, it is correct. Like I said before, the 56 dollars is there no matter how long you use the phone.

For C, it is not correct. This isn't hard to understand since if B is correct, C is probably not, and vise versa. And the 56 dollars is missing.

For D, it is correct. As I said before, the 2 represents the amount of dollars for one minute.

For E, it is not correct. (Contradicts the previous answer and each minute costs 2 dollars).

For F, it is correct. When you use 2 minutes, the equation is 2*2+56 which is 60 dollars.

Hopefully this helps!

3 0

3 years ago

Read 2 more answers

. An urn contains 6 blue and 5 red marbles. Reach in and grab one marble and then another (without replacing the first one). Wha

natima [27]

Probability that you have chosen 2 red marbles is 3/11

<h2>How to solve?</h2>

Total number of marbles = 6 + 5 = 11

Number of red marbles = 6

Number of blue marbles = 5

Important Points:

1. Replacement is not allowed

2. Blue is followed by Red

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Probability of Blue first = 5/11

Probability of Red second = 6/10 (one marble is already taken out)

Probability = 5/11 * 6/10 = 3/11

Learn more about Probability:

brainly.com/question/4313883

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8 0

2 years ago

Which expression is a prime polynomial?

irakobra [83]

The expression that is a prime polynomial is:

B. $x^3 - 27y^2$ .

<h3>What is a prime polynomial?</h3>

A prime polynomial is a polynomial that cannot be factored.

In this problem, item b gives a prime polynomial, as:

In item a, 3 is a common factor, hence the polynomial can be factored.

In item c, x is a common factor, hence the polynomial can be factored.

In item d, the polynomial can be factored according to it's roots.

More can be learned about prime polynomials at brainly.com/question/26388060

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4 0

2 years ago