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Dmitry_Shevchenko [17]
3 years ago
5

How many different ways can the first 12 letters of the alphabet be arranged?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
3 0

There are 479001600 different ways the first 12 letters of the alphabet can be arranged.

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Write a real world problem that can be solved using the equation 38 divided by 5 = 7 r 3
notka56 [123]
You are having a birthday party and invited 38 people.  Each table you rented only sits 5 people. 
 
How many tables would you need to rent for everyone to have a place to sit? <span>You would have to rent the 8th table for the remaining 3 people to sit at. </span>

7 0
3 years ago
Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar
Maurinko [17]

Answer:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

\bar X = 94.2

The standard deviation is given by:

s= 15.5

And the standard error is given by:

SE = \frac{s}{\sqrt{n}} =3.1

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

z_{\alpha/2}= \pm 0.994

We can find the interval like this:

\bar X \pm ME

And replacing we got:

94.2 -0.994*3.1 = 91.1186

94.2 +0.994*3.1 = 97.2814

And the 68% confidence interval is given by (91.1186, 97.2814)

7 0
3 years ago
If you can answer 5 questions in an hour, how many questions can you complete in 3 hours? HINT: Use the proportion 5 questions :
Stella [2.4K]

Answer:

15

Step-by-step explanation:

1 hr: 5

2 hr: 10

3 hr: 15

3 0
4 years ago
A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients
GuDViN [60]

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

4c+5 = 27

4c + 5- 5 = 27-5

4c = 22

c = 22/4

c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

<em>Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.</em>

7 0
3 years ago
Ross says he does not need grouping symbols in the expression that represents the problem
vaieri [72.5K]

Answer:

Where's the problem?

Step-by-step explanation:

4 0
4 years ago
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