What is 3m - 9/2,,,,,,,, Please help i need it now

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

5 0

3 years ago

Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut

solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

4 0

3 years ago

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switc

s344n2d4d5 [400]

Kevin installed a certain brand of automatic garage door opener that utilizes a transmitter control with four independent switches, each one set on or off. The receiver (wired to the door) must be set with the same pattern as the transmitter. If six neighbors with the same type of opener set their switches independently.The probability of at least one pair of neighbors using the same settings is 0.65633

Step-by-step explanation:

Step 1

In the question it is given that

Automatic garage door opener utilizes a transmitter control with four independent switches

So .the number of Combinations possible with the Transmitters =

2*2*2*2= 16

Step 2

Probability of at least one pair of neighbors using the same settings = 1- Probability of All Neighbors using different settings.

= 1- 16*15*14*13*12*11/(16^6)

Step 3

Probability of at least one pair of neighbors using the same settings=

= 1- 0.343666

Step 4

So the probability of at least one pair of neighbors using the same settings

is 0.65633

3 0

3 years ago

PLSSSS HELLPPPP MEEEEEEE ASAPPPP I WIILL GIVE BRAINLIEST!!!!!!!!! PLS SHOW WORK STEP BY STEP

Scilla [17]

Answer:

y = -3x + 3

Step-by-step explanation:

Slope = -3

y-intercept = 3

Substitute values into slope intercept form :

y=mx + b

Where :

m= Slope

b = y-intercept

$y = - 3x + 3$

7 0

3 years ago

X-5+x-11=100 what is the reason for this statement for geometry?

Mariulka [41]

Answer:

because when the value of x is replaced in the factorisation it Will be equivalent to 100

3 0

3 years ago