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3 years ago

Help. divide and simplify(104i)/(3+i) express a in a + bi form

1 answer:

3 0

Here we're dividing, but what actually happens is that we get the " i " out of the denominator:

104i 104i 3-i 312i + 104 312i + 104
------- = --------- * -------- = --------------- = ----------------
3+i 3+i 3-i 9+1 10

Note that 3-i is the "conjugate" of 3+i.

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tekilochka [14]

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3 years ago

Makayla conducted an experiment on the 7th grade class. She took the resting heart rate of 20 of her classmates and then had the

Gekata [30.6K]

The mean absolute deviation will show us on average how far each of all the data points from the graph that Makayla collected are from the mean. To calculate it you simply have to use the formula shown in the attachment. It is very easy but will take you like 5 minutes to solve. Use it for each data set.

Data Set’s

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<span>I hope this helps, Regards.</span>

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3 years ago

Pizza planet is running a speacial.3 pizzas for 16.50 what is the unit rate for one pizza

drek231 [11]

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6 0

3 years ago

When solving negative one over five (x − 25) = 7, what is the correct sequence of operations? (5 points) a Multiply each side by

german

Answer:

Hello!!

When solving $-\frac{1}{5} (x-25)=7$ , the correct sequence of operations would be...

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

When completing the order of operations use PEMDAS Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Hope this helps!!

7 0

2 years ago

Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru

valina [46]

For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
Based on this, we should <u>fail to reject</u> the null hypothesis.
Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

$t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }$

<u>Where:</u>

x is the sample mean.

u is the mean.

is the standard deviation.

n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

$t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }$

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0

2 years ago