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2 years ago

Help needed......

Mathematics

1 answer:

VladimirAG [237]2 years ago

5 0

Answer:

I hope this helps-How to define a logarithmic unction-

Step-by-step explanation:

Therefore, the (multiple-valued) logarithmic function of a nonzero complex variable z=reiΘ is defined by the formula logz=lnr+i(Θ+2nπ)(n∈Z).

Some basic properties of the function logz are the following:

log(z1z2)=logz1+logz2.

log(z1z2)=logz1−logz2.

There may hold Log(z1z2)≠Logz1+Logz2.

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There are 63 female performers in a dance recital. the ratio of men to women is 5:9. how many men are in the dance recital?

valentinak56 [21]

In d ratio 5:9 which equals 5+9=14
the total female performers is 63
For men = 5/14*63=5/2*9
=45/2 =22.5
The men would be about 22.5 in the dance recital

5 0

1 year ago

Three people invest at a ratio of 1:4:7. If the partnership is worth $636,000, what did each person invest?

olga_2 [115]

Answer:

See the detailed answers below

Step-by-step explanation:

Given data

Ratio= 1:4:7

combined ratio= 1+4+7= 12

Total amount= $636,000

Apply the part to all method

The first person will take

1/12= x/ 636,000

cross multiply

12x= 636,000*1

x= 636,000/12

x= 53000

The second person will take

4/12= x/ 636,000

cross multiply

12x= 636,000*4

x= 2544000/12

x= 212000

The third person will take

7/12= x/ 636,000

cross multiply

12x= 636,000*7

x= 4452000/12

x= 371000

6 0

3 years ago

The students at Woodward Elementary voted for a school mascot. The falcon won with 58 of the votes and the eagle came second wit

Anuta_ua [19.1K]

Answer:

67 students voted for the eagle

Step-by-step explanation:

The students at Woodward Elementary voted for a school mascot. The falcon won with 5/8 of the votes and the eagle came second with 1/3 of the remaining votes. If 536 students voted for a mascot, how many students voted for the eagle

Total students who voted = 536

Falcon won with 5/8 of the votes

5/8 of 536

=5/8 × 536

= 2,680/8

= 335 votes

Falcons won with 335 votes

Remaining votes = Total votes - falcons votes

= 536 - 335

= 201 votes

There are 201 votes remaining

Eagle came second with 1/3 of the remaining votes

1/3 of the remaining votes

= 1/3 × 201

= 201/3

= 67 votes

67 students voted for the eagle

5 0

2 years ago

Which umber is greater? Square root of 220 or 14 3/4?

vodomira [7]

Square root is 220 the number is way bigger than 14 3/4

5 0

3 years ago

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machi

iogann1982 [59]

Answer:

$P(X>3) =1- P(X\leq 3) = 1-[P(X=0)+P(X=1) +P(X=2) +P(X=3)]$

And if we find the individual probabilities we got:

$P(X=0)=(12C0)(0.2)^0 (1-0.2)^{12-0}=0.0687$

$P(X=1)=(12C1)(0.2)^1 (1-0.2)^{12-1}=0.2062$

$P(X=2)=(12C2)(0.2)^2 (1-0.2)^{12-2}=0.2835$

$P(X=3)=(12C3)(0.2)^3 (1-0.2)^{12-3}=0.2362$

And if we replace we got:

$P(X>3) =1- P(X\leq 3) = 1-[0.0687+0.2062 +0.2835 +0.2362]=0.20543$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$