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Serggg [28]
3 years ago
9

The wait times in line at a grocery store are roughly distributed normally with an average wait time of 7.6 minutes and a standa

rd deviation of 30 seconds. What is the probability that the wait time is between 6 and 7.3 minutes
Mathematics
1 answer:
Sati [7]3 years ago
5 0

Answer:

the probability that the wait time is between 6 and 7.3 minutes = 0.725

Step-by-step explanation:

Given -

Average wait time  (\nu)  =  7.6 minutes

Standard deviation (\sigma) = 30 second = .5 minute

Let X be the wait times in line at a grocery store

the probability that the wait time is between 6 and 7.3 minutes

[ Put z = \frac{X - \nu }{\sigma} ]

P (7.3> X>6  ) = P (\frac{7.3 - 7.6}{.5}> Z>\frac{6 - 7.6 }{.5} )

                         = (.6> Z> -3.2 )

[Using z table]

                         = Area to the left of z = .6 - area to the left of z = -.32

                         = .7257 - .0007 = 0.725

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3 years ago
A restaurant offers three sizes of coffee and four differerſt types of coffee.
Kruka [31]
<h3>Answer:  864</h3>

=======================================================

Work Shown:

There are,

  • 3 sizes of coffee
  • 4 types of coffee
  • 2 choices for cream (you pick it or you leave it out)
  • 2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

--------------

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

3 0
3 years ago
CAN SOMEONE PLEASE SOLVE THIS????????
defon
Which one question? there is multiple in there.
3 0
3 years ago
Write 6.3 x 10^4 in standard notation.
icang [17]
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6 0
3 years ago
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What is the value of AAA when we rewrite \left(\dfrac {6}{17}\right)^{9x}( 17 6 ​ ) 9x (, start fraction, 6, divided by, 17, end
sineoko [7]

We have been given an expression \left(\dfrac {6}{17}\right)^{9x}. We are asked to find the value of A when rewrite our given expression as A^{x}.

To solve our given problem, we will use exponent properties.

Using exponent property a^{mn}=(a^m)^n, we can rewrite our given expression as:

\left(\dfrac {6}{17}\right)^{9x}=\left(\left(\dfrac {6}{17}\right)^9\right)^{x}

Now, we will compare our expression with  A^{x}.

Upon comparing \left(\left(\dfrac {6}{17}\right)^9\right)^{x} with A^{x}, we can see that A=\left(\dfrac {6}{17}\right)^9.

Therefore, the value of A is \left(\dfrac {6}{17}\right)^9.

We can further simplify \left(\dfrac {6}{17}\right)^9 as:

\left(\dfrac {6}{17}\right)^9=\frac {6^9}{17^9}=\frac{10077696}{118587876497}

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3 years ago
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