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mamaluj [8]
3 years ago
12

A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the

special character is at the end of the password, how many possibilities are there?
Mathematics
2 answers:
Lena [83]3 years ago
8 0
175760 is the answer
Galina-37 [17]3 years ago
4 0

1st digit = 1 of 26 letters

2nd digit = 1 of 26 letters

3rd digit = 1 of 26 letters

 4th digit = 1 of 10 special characters


26 x 26 x 26 x 10 = 175,760 possibilities

 

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A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to c
Mariana [72]

Answer:

1. $ \mu = \$306,500 $

2. \sigma = \$24,500

3. n = 150

4. $ \mu_{x}= \mu = \$306,500 $

5. \sigma_x = \$ 2,000 \\\\

Step-by-step explanation:

The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500.

From the above information, we know that,  

The population mean is

$ \mu = \$306,500 $

The population standard deviation is

\sigma = \$24,500

Suppose a random sample of 150 Americans is selected

n = 150

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The sample mean would be the same as the population mean  that is

$ \mu_{x}= \mu = \$306,500 $

The sample standard deviation is given by

\sigma_x = \frac{\sigma}{\sqrt{n} }

Where \sigma is the population standard deviation and n is the sample size.

\sigma_x = \frac{24,500}{\sqrt{150} }  \\\\\sigma_x = \$ 2,000 \\\\

Therefore, the required parameters are:

1. $ \mu = \$306,500 $

2. \sigma = \$24,500

3. n = 150

4. $ \mu_{x}= \mu = \$306,500 $

5. \sigma_x = \$ 2,000 \\\\

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4 0
3 years ago
Find midpoint (-6, 3) (4,-3)
Crank
<h2>Coordinate of mid point = (1,0)</h2>

Step-by-step explanation:

Given points are (-6,3) and (4,-3)

x_1=-6 ,    y_1=3 ,  x_2= 4    and  y_2 = -3

Coordinate of mid point (\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

                                     =(\frac{-6+4}{2} ,\frac{3+(-3)}{2})

                                      =(1,0)

5 0
3 years ago
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