Find the difference 828,738 and 395,791

Simora [160]

Answer:

Step-by-step explanation:

a)

Probability of a owner to be moved = $\frac{total owner}{total Americans} = \frac{14.8}{39}$ = 0.379 ≅ 0.38

b)

Probability of a renter to be moved = $\frac{total renters}{total Americans} = \frac{24.2}{39}$ = 0.62

c)

Probability of a person who moved in the same state = $\frac{Persons who moved to the same state}{Total Americans} = \frac{30.4}{39}$ = 0.779 ≅ 0.78

d)

Probability of a person who moved to a different country = $\frac{Total moved to different country}{Total Americans} = \frac{1.3}{39}$ = 0.033 ≅0.03

e)

Probability of a owner who moved to a different country = $\frac{Owners that moved to different country}{Total people who moved to different country} = \frac{0.3}{14.8}$ = 0.02

f)

Probability of a renter moving in the same state = $\frac{Renter that moved in the same state}{Total persons moved in the same state} = \frac{18.7}{30.4}$ = 0.615 ≅ 0.62

g)

Probability of an owner moved to different state = $\frac{Owners moved in different state}{Total moved in different state} = \frac{2.8}{7.3}$ ≅0.38

3 0

3 years ago

Write the standard form of the equation of the circle with center (8,−1) that passes through the point (6,7)

marshall27 [118]

Answer:

(x - 8)^2 + (y + 1)^2 = 68

Step-by-step explanation:

The standard form of the equation of the circle with center (8,−1) is :

(x - 8)^2 + (y + 1)^2 = R^2

If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.

5 0

2 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Orlov [11]

Answer:

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.05, n = 212, \mu = 0.05, s = \sqrt{\frac{0.05*0.95}{212}} = 0.015$

What is the probability that the sample proportion will differ from the population proportion by less than 0.03?

This is the pvalue of Z when X = 0.03 + 0.05 = 0.08 subtracted by the pvalue of Z when X = 0.05 - 0.03 = 0.02. So

X = 0.08

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.08 - 0.05}{0.015}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772

X = 0.02

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.02 - 0.05}{0.015}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

95.44% probability that the sample proportion will differ from the population proportion by less than 0.03.

6 0

3 years ago

Se tiene en una caja 6 bolas blancas y 5 bolas negras. ¿Cuántas bolas se debe extraer como mínimo para tener la certeza de haber

vodomira [7]

Answer:

7 bolas

Step-by-step explanation:

Aquí, queremos saber el número de bolas que se deben sacar para estar seguros de haber extraído al menos dos bolas del mismo color.

De la pregunta, hay 6 tipos y 5 tipos de bolas diferentes. Así que en caso de que saquemos 6 veces y tuviéramos las mismas bolas, estaríamos seguros de que en el séptimo sorteo estaremos cogiendo una bola de otro color ya que hemos agotado el número de bolas del primer tipo y nos queda solo con las bolas del segundo tipo.

3 0

2 years ago

Are these two correct

SOVA2 [1]

When it's negative the bigger number is smaller for example -7 is less than -2 or -2 is greater than -7. so they r wrong.

8 0

3 years ago