What is 42cm per second converted to meters per min

A police officer wants to know the proportion of crimes that are burglaries within the last five years. She randomly selects 40

svlad2 [7]

Answer:

a. Yes

See explanation below.

Step-by-step explanation:

Assuming that if the question is if we can use the normal approximation for the true proportion.

For this case we have n = 40 and p = 0.3 (probability of success)

We need to check some conditions:

1) Random sample : This condition is satisfied since the problem says that she randomly select 40 records

2) $n \hat p = 40*0.3 =12 \geq 10$

$n(1-\hat p)= 30 *(1-0.3) = 28 \geq 10)$

3) 10% condition: the random sample is assumed to be less than 10% of the original population size (assumed)

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

So then as we can see the normal approximation for this case makes sense since we have all the 3 conditions satisfied so then the answer would be:

a. Yes

7 0

3 years ago

Jessica has $35.She gives 2/5 oh her money to her sister.How much money did she give her sister?

omeli [17]

She gave $14 to her sister.

Explanation:
The word "of" in fraction word problems USUALLY signals for you to multiply. So, we want to find 2/5 of 35, so we multiply 2/5 x 35. That gives us 14, therefore she gave $14 to her sister

6 0

3 years ago

If u have 3 dice what is the probability that they will all land on the same number

Sveta_85 [38]

Answer:(1/6)3

or 1/216

Step-by-step explanation:

You have a 1/6 chance of getting the first number.1/6

chance of the second and so on. Is it just

(16)3

6 0

3 years ago

If an initial amount A0 of money is invested at an interest rate i compounded times a year, the value of the investment after t

seropon [69]

Answer:

Following are the solution to the given point:

Step-by-step explanation:

Please find the comp[lete question in the attached file.

Given:

$\bold{ \lim_{n \to \ \infty} (1+ \frac{r}{n})^{nt} =e^{rt}}$

In point 1:

$\to y = (1+ \frac{r}{n})^{nt}$

In point 2:

$\to \ln (y)= nt \ln(1+ \frac{r}{n})$

In point 3:

Its key thing to understand, which would be that you consider the limit n to $\infty$ , in which r and t were constants!

$=lim_{n \to \ \infty} \ln (y) = lim_{n \to \ \infty} nt \ln(1+\frac{r}{n})\\\\= lim_{n \to \ \infty} \frac{\ln(1+\frac{r}{n})}{\frac{1}{nt}}\\\\= lim_{n \to \ \infty} \frac{\frac{-r}{\frac{n^2}{(1+\frac{r}{n})}}}{- \frac{1}{n^2t}}\\\\= lim_{n \to \ \infty} \frac{\frac{rn^2t}{n^2}}{(1+\frac{r}{n})}\\\\= lim_{n \to \ \infty} \frac{rt}{(1+\frac{r}{n})}\\\\= \frac{rt}{(1+\frac{r}{0})}\\\\=rt$