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3 years ago

Write the expression in standard form. five divided by quantity three minus fifteen i.

1 answer:

7 0

The answer is $\frac{5}{78}+ \frac{25}{78}i$

$\frac{5}{3-15i} =\frac{5}{3-15i}* \frac{3+15i}{3+15i} = \frac{5(3+15i)}{(3-15i)(3+15i)} \\ \\ 
a^{2} -b^{2} =(a+b)(a-b) \\ \\ 4 + 
 \frac{5(3+15i)}{(3-15i)(3+15i)} = \frac{15+75i}{ 3^{2}-(15i)^{2} } = \frac{15+75i}{9-15^{2}i^{2}} \\ \\ i^{2}=-1 \\ \\ 
 \frac{15+75i}{9-15^{2}i^{2}} =\frac{15+75i}{9-225*(-1)} =\frac{15+75i}{9+225} = \frac{15+75i}{234} = \frac{3*5+3*25i}{3*78} = \frac{3(5+25i)}{3*78} = \\ \\ 
= \frac{5+25i}{78}= \frac{5}{78}+ \frac{25i}{78} =\frac{5}{78}+ \frac{25}{78}i$

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Write an expression to represents the product of 6 and the sum of w and 5

muminat

6(w+5) represents the product of 6 and the sum of w and 5. the product means multiplication, and the sum means addition.

6(w+5) also equals 6w+6(5), or 6w+30, because of the distribution property.

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3 years ago

Determine whether the following possible responses should be classified as nominal, ordinal, interval or ratio scale. Would your

anygoal [31]

Answer:

Nominal, Ordinal, interval or Ratio scale, Nominal.

Step-by-step explanation:

In Statistics, we can assort qualitative variables as nominal, for non-numerical values (Good, Yes, Man, Woman, Excellent, Tall, etc.). For numerical ones, we can rank them orderly, id est, ordinal (1st, 2nd, 3rd, 4th, etc.). Moreover, we can also categorize some numerical variables as an interval or ratio scale (90º F, 6' 2'' etc.).

Examining each one:

1. Would your overall rating of this tour be excellent, good, fair, or poor? Nominal.

These are not numerical. These are qualitative classification.

2. How many escorted vacations have you taken prior to this one?

Ordinal. The 1st, 2nd, 3rd, etc.

3. What is the current temperature outside? Interval or Ratio Scale

This is a classic Interval classification example. Since the temperature is graded in intervals then this an Interval.

4. Do you feel that the stay in New York was sufficiently long? Nominal.

Another non-numerical classification

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3 years ago

What is the missing length????

ehidna [41]

The answer is B (20.2 ft)

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4 years ago

Determine the slope of the line that passes through (2,5) and (3, 7).

krok68 [10]

Answer:

1/2

Step-by-step explanation:

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3 years ago

For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp

Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

$\frac{1}{365}$

a) Probability that exactly 3 people have same birthday = $\frac{1}{365^3}$

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = $\frac{1}{365^3}$

Expected value of days = np = $\frac{1}{365^2}$

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

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4 years ago