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3 years ago

The imaginary number i raised to the power of 38 simplifies to

Mathematics

2 answers:

Dahasolnce [82]3 years ago

5 0

The correct answer is (-1)

Naya [18.7K]3 years ago

4 0

Answer:

-1

Step-by-step explanation:

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At Ersatz University, the graduating class of 480 includes 96 guest students from Latvia. A sample of 10 students is selected at

grandymaker [24]

Answer:

A).3222

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are from Latvia, or they are not. We are choosing students without replacement. However, since the sample size is large, we can use the binomial distribution to approximate the hypergeometric distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

480 students, of which 96 are from Latvia:

This means that $p = \frac{96}{480} = 0.2$

Sample of 10 students:

This means that $n = 10$

Probability that the sample contains at least three Latvian students.

Either there are less than three students from Latvia, or there are at least three. The sum of the probabilities of these events is 1. So

$P(X < 3) + P(X \geq 3) = 1$

We want $P(X \geq 3) = 1 - P(X < 3)$ , in which:

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074$

$P(X = 1) = C_{10,1}.(0.2)^{1}.(0.8)^{9} = 0.2684$

$P(X = 2) = C_{10,2}.(0.2)^{2}.(0.8)^{8} = 0.3020$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1074 + 0.2648 + 0.3020 = 0.6742$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.6742 = 0.3258$

The closest option is A.

4 0

3 years ago

PLEASE HELP!!! GIVING BRAINLIEST!! ill also answer questions that you have posted if you answer this correctly!!!! (80pts)

wariber [46]

Answer:

PQ = 20

QR = 15

Step-by-step explanation:

PQ^2 = 16^2 + 12^2

PQ^2 = 400

PQ = √400 = 20

QR^2 = 12^2+9^2

QR^2 = 225

QR = √225 = 15

6 0

3 years ago

Read 2 more answers

Terryn has 25 one-dollar bills and wants to give an even amount to each of his two children. How many bills do each of Terryn's

aleksley [76]

Answer:

Number of one-dollar bills each child gets: 12 dollars

Dollars left over: 1 dollar

Step-by-step explanation:

25/2=12.5

so round down to 12 cause 13(2) is 26 and you only have 25.

so 12(2)=24.

Each kid will get 12 dollars and there will be 1 dollar left over.

6 0

3 years ago

Read 2 more answers

What is a number less than 130 that rounds to 130 when rounding to the nearest ten

lilavasa [31]

Answer:

129.99

Step-by-step explanation:

129.99 rounds to 130 because the 9 in the hundredths place causes the 9 in the tenths place to round up, making the number 130.0.

7 0

3 years ago

Read 2 more answers

Two apples and three peaches cost $1.65. three apples and two peaches cost $1.60. what is the cost of one peach

marta [7]

Apples = $.30
Peaches = $.60

You can get this by setting up a system of equations that looks like this.

2x + 3y = 1.65
3x + 2y = 1.60

Where x is the amount of apples and y is the number of peaches. Then you can solve using any of the methods (I would suggest elimination for ease).

7 0

3 years ago