1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
aleksley [76]
3 years ago
12

a bank manager wants to know the mean amount of mortgage paid per month by homeowners in an area. a random sample of 120 homeown

ers from this area showed that they pay an average of $1575 per month for their mortgages. the population standard deviation of such mortgages is $215. fins a 97% confidence interval for the mean amount of mortgage paid per month by all homeowners in this area.
Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0

Answer:

[ 1,532.41, 1,617.59]

Step-by-step explanation:

Data provided :

Sample size, n = 120

Mean = $1,575

Standard deviation = $215

Confidence level = 97%

Now,

Confidence interval = Mean ± z\frac{\sigma}{\sqrt n}

also,

for 97% confidence level z score = 2.17   [from standard z-table]

= $1,575 ± 2.17\frac{215}{\sqrt {120}}

= $1,575 ± 42.59

Therefore,

Confidence interval = [ $1,575 - 42.59, $1,575 + 42.59]

= [ 1,532.41, 1,617.59]

You might be interested in
Find the outlier in the data: 46, 65, 38, 42, 45, 46, 48, 42. How does the outlier affect the mean? If necessary, round to the n
givi [52]

Answer:

65 is the outlier.  It raises the value of the mean.  42.1

Step-by-step explanation:


5 0
2 years ago
What is the value of x = ?
jeka57 [31]

I think it is 174. I could be wrong.

6 0
3 years ago
Please thank my profile!
geniusboy [140]

Answer:

Thanks profile

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
2 years ago
Factor the gcf out of the expression: -6x^3 - 9xy + 18x
Westkost [7]

Answer:

-207xy

Step-by-step explanation:

-6x^3 - 9xy + 18x

-216x -9xy +18x

-225xy + 18x

-207xy

If I'm not mistaken.

6 0
3 years ago
Other questions:
  • A rectangular parking lot has an area of 682 square yards.The lot is 22 yards wide.What is the length of the parking lot?
    15·1 answer
  • What is the y-intercept of y+4=-1/4(x+2)
    6·2 answers
  • What goes into -270 and adds up to 3
    13·2 answers
  • write the multiplication expression for each expanded form. Then match the multiplication expression with its product (9×700) +(
    14·1 answer
  • The vertices of a triangle are P(–4, 1), Q(–2, –8), and R(8, –1). Name the vertices of the image reflected across the y axis
    13·2 answers
  • A beanie hat is to be made from a piece of fabric
    8·1 answer
  • A broadway theatre has 500 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $40, main seats fo
    13·2 answers
  • The hypotenuse of a right triangle is 28 units and the length of one of the legs is 14 units. What is the length of the other le
    8·1 answer
  • Caroline, Krutika and Natasha share some sweets in the ratio 4:3:3. Caroline gets 9 more sweets than Natasha. How many sweets do
    8·1 answer
  • A cylindrical candle has a diameter of 9 cm and height 12 cm.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!