Which is the ratio 12 to 27 expressed as a fraction in lowest terms

Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample

Vedmedyk [2.9K]

Answer:

$P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The population proportion have the following distribution

$p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)$

And we can solve the problem using the z score on this case given by:

$z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}$

We are interested on this probability:

$P(0.26 \leq p \leq 0.43)$

And we can use the z score formula, and we got this:

$P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})$

$P(-2.726 \leq Z \leq 0.584)$

And we can find this probability like this:

$P(-2.726 \leq Z \leq 0.584)=P(Z$

7 0

3 years ago

James has a model helicopter. The model is 8 inches long and 7 inches wide. The actual helicopter is 56 inches long. What is the

Dominik [7]

56/8=7. so we multiply 7 by 7.7*7=49; the helicopter is 49 in. wide

4 0

3 years ago

Pls help, I cannot do this and it is due 8-28-20

Jet001 [13]

Answer:

20. J, 21. B

Step-by-step explanation:

20. P = 15 (2) + 8 (2)

P = 36 ft.

21. 15 - 6 = 9 ft.

8 0

3 years ago

Read 2 more answers

What is next letter? Y B W DUF

4vir4ik [10]

Find the pattern
z,Y,x,W,v,U
The letter from the end of the alphabet are skipped every letter
a,B,c,D,e,F
The pattern is the same as the end of the alphabet

Therefore, the next letter would be S as we have to skip one from U, this being T.

5 0

2 years ago

If x is a positive integer, for how many different values of x is sqrt48/x a whole number?

slava [35]

Answer:

The only possible values of x that fulfill with both conditions are 3, 12 and 48.

Step-by-step explanation:

1. What are the positive integers? Also know as the whole numbers or the counting numbers. They start from 1, and continue to 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, etc.

2. What are the whole numbers? The definition of whole numbers is that they are the number with no fractions or decimals.

3. According to those definitions, x must be a positive integer and the result of √48/x, must be a whole number.

4. For fulfilling the first condition, x must be only a value from 1 to 48.

5. For fulfilling the second condition, the result of √48/x must be a whole number. It means it must be 1, 2, 3, 4, 5 or 6. From 7 is not possible to continue because those numbers are bigger than 48, for example √49, √64, √81, √100 and so on, and it would be impossible to fulfill with the first condition.

6. So, we have just 6 possible options (√48/x = 1, √48/x = 2, √48/x = 3, √48/x = 4, √48/x = 5 and √48/x =6). Let's review in detail one by one.

√48/x = 1, Is there any value of x for fulfilling both conditions? Yes, it's. It's 48. 

√48/x = 1 and let's replace x by 48.

√48/48 = √1 = 1

√48/x = 2, Is there any value of x for fulfilling both conditions? Yes, it's. It's 12. 

√48/x = 2 and let's replace x by 12.

√48/12 = √4 = 2

√48/x = 3, Is there any value of x for fulfilling both conditions? No, it isn't.

There isn't any whole number that allow us to fulfill with this: √48/x = √9 = 3

√48/x = 4, Is there any value of x for fulfilling both conditions? Yes, it's. It's 3.

√48/x = 4 and let's replace x by 3.

√48/3 = √16 = 4

√48/x = 5 Is there any value of x for fulfilling both conditions? No, it isn't.

There isn't any whole number that allow us to fulfill with this: √48/x = √25 = 5

√48/x =6 Is there any value of x for fulfilling both conditions? No, it isn't.

There isn't any whole number that allow us to fulfill with this: √48/x = √36 = 6.

The only possible values of x that fulfill with both conditions are 3, 12 and 48.

6 0

3 years ago