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4 years ago

Is 0.529 greater than 0.54

Mathematics

2 answers:

fomenos4 years ago

7 0

No it's not greater than .54

attashe74 [19]4 years ago

6 0

No. 0.54 is equal to 0.540

0.540 > 0.529

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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

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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.

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Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

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A) You will need 6 toothpicks.
B) You will need 5 cotton swabs. (rounded up)

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3 years ago

The diameter of the bottom of a lamp shade is twice the diameter of the top of the lamp shade. The top of the lamp shade has a 9

GarryVolchara [31]

Answer:

see explanation

Step-by-step explanation:

The circumference (C) is calculated as

C = πd ← d is the diameter

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3 years ago

A colony contains 1500 bacteria. The population increases at a rate of 115% each hour. If x represents the number of hours elaps

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Answer:Answer:

Option (c) is correct.

function representing the increase of bacteria every hour x,

Step-by-step explanation:

Given : A colony contains 1500 bacteria. The population increases at a rate of 115% each hour.

we have to find the function that represents the given scenario.

Let x represents the number of hours elapsed.

Given A colony contains 1500 bacteria

and number of bacteria is increasing at a rate of 115% each hour.

Using formula for Compound interest , we have,

Where A is amount

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R is rate of interest

Here, P = 1500

T = x hours

R = 115%

Let f(x) be the function representing the increase of bacteria every hour.

Substitute, we have,

Simplify, we get,

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3 years ago