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Elodia [21]
3 years ago
14

Evaluate the expression 1 + 3 i/5 i and write the result in the form a + b i .

Mathematics
1 answer:
polet [3.4K]3 years ago
8 0

Answer:   \bold{\dfrac{3}{5}-\dfrac{1}{5}}i

<u>Step-by-step explanation:</u>

Rationalize the denominator. Then separate into the a & b-components.

\dfrac{1+3i}{5i}\bigg(\dfrac{i}{i}\bigg)\quad =\quad \dfrac{i+3i^2}{5i^2}\quad =\quad \dfrac{i+3(-1)}{5(-1)}\quad =\quad \dfrac{i-3}{-5}\quad =\quad \dfrac{3-i}{5}\\\\\\=\large\boxed{\dfrac{3}{5}-\dfrac{1}{5}i}

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The Ericsson method is one of several methods claimed to increase the likelihood of a baby girl. In a clinical trial, results co
Travka [436]

Answer:

0.001

Step-by-step explanation:

Ericsson is claimed to increase the likelihood of a baby girl ;

Given the alternative hypothesis to buttress this claim :

HA : p>0.5

In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.

To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.

Recall ;

Pvalue < α ; We reject the Null

Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.

4 0
3 years ago
A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0
Mariulka [41]

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

6 0
3 years ago
In this sum, each letter stands for one of the digits 0 to 9
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Answer:

7 4 5 0

F O U R

+

4 8 1

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Hope this is correct:)

6 0
3 years ago
The independent-samples t testResearch Scenario: A forensic psychologist has developed a new program that teaches empathy and po
8_murik_8 [283]

Answer:

Step-by-step explanation:

Hello!

The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)

At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.

1) Using the records obtained for both groups, she  intends to conduct an independent t-test to analyze her claim.

X₁: BES results of a youth offender treated with the new treatment.

X₂: BES results of a youth offender treated with the standard treatment.

H₀: μ₁ = μ₂

H₁: μ₁ ≠ μ₂

α:0.05

test statistic

t_{H_0}= -0.32

p-value: 0.7517

The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of  the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.

I hope this helps

(Box plot in attachment)

7 0
4 years ago
A piece of wire 2/5 m long is to be cut into six pieces of the same length what is the length of each piece
bonufazy [111]

Answer:

each peice will be 1/15 m long.

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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