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Declan's friend Luka claims that he can read minds. To test Luka's abilities, Declan draws 5 cards without replacement from a st

gogolik [260]

Answer:

Step-by-step explanation:

33333

5 0

2 years ago

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house

White raven [17]

To determine the combined amount of cats sold: is equal to 117 cats

Let the number of Siamese cats sold be S.

Let the number of House cats sold be H.

Let the combined amount of cats sold be C.

Given the following data:

Number of Siamese cats sold = 36

Ratio of S to H = 4:9

Total ratio = 4 + 9 = 13

To determine the combined amount of cats sold:

The ratio of Siamese cats sold is given by:

$\frac{4}{13} \times C=36\\\\4C=36\times 13\\\\4C =468\\\\C=\frac{468}{4}$

C = 117 cats

8 0

2 years ago

In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p

hichkok12 [17]

Answer:

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

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:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts

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".

Solution to the problem

The probability of success for this case would be:

$p =\frac{9}{15}= 0.6$ representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=15, p=0.6)$

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:

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

And we want this probability:

$P(X=3)$

And uing the probability mass function we got:

$P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165$

4 0

2 years ago

What is the least common multiple of 15a² and 3a2? 1.3a2 2.3a3 3.15a2 4.15a3

AveGali [126]

Answer:

1. 3a2

Step-by-step explanation:

5 0

2 years ago

How much would you need to deposit in an account now in order to have $5000 in the account in 10 years? Assume the account earns

Blababa [14]

Answer:

$12500

Step-by-step explanation:

use si formula

SI=ptr/100

si=5000

t=10

r=4

6 0

3 years ago