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3 years ago

The integer x for which |1-x|=3 is

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Answer:

x= -2 or 4

Step-by-step explanation:

|1-x|=3

1-x=3 or -(1-x)=3

x= -2 or 4

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About 11% of adult Americans are left-handed. Suppose that two people are randomly selected from this

marshall27 [118]

Answer:

a) $P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921$

$P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958$

$P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121$

And then we have our probability distribution like this:

X | 0 | 1 | 2 |

P(X) | 0.7921 | 0.1958 | 0.0121|

b) $P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079$

Step-by-step explanation:

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".

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

$X \sim Binom(n=20, p=0.48)$

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:

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

Solution for the problem

Part a

On this case since we select a sample size of n =2 we have the following values for the number of left handed X=0,1,2. We can find the probabilities for each case since we know that p=0.11.

$P(X=0)=(2C0)(0.11)^0 (1-0.11)^{2-0}=0.7921$

$P(X=1)=(2C1)(0.11)^1 (1-0.11)^{2-1}=0.1958$

$P(X=2)=(2C2)(0.11)^2 (1-0.11)^{2-2}=0.0121$

And then we have our probability distribution like this:

X | 0 | 1 | 2 |

P(X) | 0.7921 | 0.1958 | 0.0121|

Part b

For this case we want this probability:

$P(X \geq 1) = P(X=1)+P(X=2) = 0.1958+0.0121=0.2079$

8 0

3 years ago

jackson kitten weighed 2 pounds 3 ounces a month later the kitten weighed 56 ounces. how munch weight did the kitten gain in tha

ddd [48]

16 ounces = 1 pound

2x16 + 3 = 35

56 - 35 = 21

21 ounces

5 0

4 years ago

Read 2 more answers

Si yo tengo una canasta llena de mangos y piñas, de las cuales hay 30

skelet666 [1.2K]

Respuesta: Es más probable sacar un mango.

Explicación:

La probabilidad se refiere a la posibilidad de que un evento occura y no otro. En el caso que se describe, la probabilidad de sacar cada fruta puede ser calculada dividiendo el total de cada fruta en el número de frutas totales:

Probabilidad de sacar un mango:

$\frac{cantidad de mangos}{cantidad de frutas en la canasta}$ = $\frac{30}{50}$ = $0.6$

Probabilidad de sacar una piña:

$\frac{cantidad de pinas}{cantidad de frutas en la canasta} = \frac{20}{50}$ $= 0.4$

De acuerdo a lo anterior la probabilidad de sacar un mango es de 0.6 o de 60% (multiplica la probabilidad por 100 para saber su equivalente en porcentaje), mientras que la probabilidad de sacar un mango es de 0.4 o 40% lo cual es mucho más bajo. Es decir que es más probable sacar un mango.

7 0

3 years ago

If the cost of producing the product is 25,000 plus $5.00 per piece, then what is the cost equation for producing x items?

Alexus [3.1K]

If you mean it's $5 for each item and then you add $25,000 to it, then the equation would be
y=5(x)+25,000
let me know if that's what you were asking

4 0

3 years ago

Read 2 more answers

Two lines, A and B, are represented by the following equations:

almond37 [142]

Answer:

Step-by-step explanation: