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Darina [25.2K]
3 years ago
8

Which of the following is a complex number?

Mathematics
1 answer:
daser333 [38]3 years ago
5 0

Answer:

C.3 \sqrt{ \frac{7}{5} }  +  \sqrt{ -  \frac{9}{5} }

Step-by-step explanation:

Recall that:

\sqrt{ - 1}  = i

For this particular question, you just have to look for the radical containing a negative sign under the square root i.e a negative radicand.

That will be option C.

This is given as

3 \sqrt{ \frac{7}{5} }  +  \sqrt{ -  \frac{9}{5} }

This can be rewritten to reveal the complex part as:

3 \sqrt{ \frac{7}{5} }  +  \sqrt{ \frac{9}{5} }i

Therefore the correct answer us option C

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The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 320 grams and a standard deviation of 45 gr
irina1246 [14]

Answer:

a) 99.7%

b) 68%

c) 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

d) 81.5% of organs weighs between 290 grams and 365 grams.

Step-by-step explanation:

A) 99.7% of organs will be between 3 standard deviation from the mean.

320 - 3 \times 45 = 185

320 + 3 \times 45 = 455

So 99.7% of organs will be between 185 and 455.

B) 275 grams and 365 grams are 1 standard deviation from the mean.

From empirical rule about 68% data falls within 1 standard deviation from the mean.

So 68% of organs weighs btwn 275 grams and 365 grams.

C) Since 68% of organs weighs between 275 and 365 grams, so 32% of organs weighs will be less than 275 or more than 365 grams.

D) 230 is 2 standard deviation below the mean and 365 is one standard deviation above the mean.

According to the empirical rule, 95% of the observation lies within 2 standard deviations of the mean. Therefore 5% lies outside 2 standard deviations of the mean.

So 95%/2 = 47.5% of organs weighs between the mean and 230 grams.

According to the empirical rule about 68% data falls within one standard deviation from the mean.

so, 68%/2 = 34% of organs weighs between the mean and 365 grams.

So total = 47.5% + 34% = 81.5% of organs weighs between 290 grams and 365 grams.

7 0
3 years ago
Can i have some help (marked an Brainllest)
Marysya12 [62]
can you send me the answer
3 0
2 years ago
A comparison of the measures of central angles and inscribed angles of circles to their intercepted arcs are listed in the table
geniusboy [140]

A central angle means an angle that is at the center of a circle and whose legs are intersecting the circle.

<h3>What is a central angle?</h3>

Your information is incomplete as the data is not given. Therefore, an overview will be given.

Central angles are shaped by an arc between the two points. When a central angle and the inscribed angle intercept the same arc, then the central angle would be the double of the inscribed angles while the inscribed angle will be half of the central angle.

Learn more about central angle on:

brainly.com/question/19758686

3 0
2 years ago
Sharon has a hula hoop with a circumference of 88 inches. What is the approximate diameter of her hula hoop?
timurjin [86]

Answer:

28.0

Step-by-step explanation:

The circumference is diameter*3.14 (pi). So for this you divide to get the diameter. Hope this helps! :)\

88/3.14=28.0

3 0
3 years ago
Which point should Polly connect to point E to make a 30° angle?
Grace [21]

Answer:

D.

Step-by-step explanation:

If she connects it to any other point the angle would be more then 30 degrees.

8 0
3 years ago
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