The average monthly mortgage payment for all homeowners in a city is $2870. Suppose that the distribution of monthly mortgages paid by homeowners in this city follow an approximate normal distribution with a mean of $2870 and a standard deviation of $470. Find to 4 decimal places the probability that the monthly mortgage paid by a randomly selected homeowner from this city is
Answer:
The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167
Step-by-step explanation:
Given
[tex]\mu = 2870[/tex] --- the average
[tex]\sigma = 470[/tex] --- the standard deviation
Required [Missing from the question]
Monthly mortgage is between 2300 and 3140
This is represented as:
[tex]P(2300 < x < 3140)[/tex]
This is calculated as:
[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]
[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]
Calculate the z scores
[tex]x = 3140[/tex]
[tex]z = \frac{3140 - 2850}{470}[/tex]
[tex]z = \frac{290}{470}[/tex]
[tex]z = 0.6170[/tex]
[tex]x = 2300[/tex]
[tex]z = \frac{3140 - 2300}{470}[/tex]
[tex]z = \frac{840}{470}[/tex]
[tex]z = 1.7872[/tex]
So, we have;
[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]
This is then calculated as:
[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]
[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]
Using the z table:
[tex]P(Z<0.6170) =0.73138[/tex]
[tex]P(Z<1.7872) =0.96305[/tex]
[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]
[tex]P(2300< x < 3140) = 0.23167[/tex]
Gary tried to solve an equation step by step.
Answer:
2.5 x 4 = 10 not 8
so step 2
Answer:
B, Step 2
Step-by-step explanation:
Gary did, in fact, made a mistake. In step 2, 2.5*4 does not equal 8. In fact, 2.5*4 = 10
whats the are and perimeter for this pls help
Answer:
the area is 64 the perimeter is 30
Step-by-step explanation:
Evaluate 2w2+8, when w=−4.
HELP ASAP
Answer:
-8
Step-by-step explanation:
Plug in -4 for w, 2(-4)2+8 (2x-4x2+8)
2 x -4 x 2 =-16
-16+8= -8
Your mom asked you to frame an 8x10
picture with a piece of yarn. What is the
minimum length of yarn you need to buy to
frame the picture?
Answer:
80
Step-by-step explanation:
Decrease $260 in the ratio 3:5
Which of the following is the solution to the compound inequality below?
5 + x 23
or
6x+1<-29
A. X2-2 or X<-5
O B. x2 - 22 or xc - 14
C.X22 or X<5
14
D. 28
or X
Answer:
[tex]x \ge -2[/tex] or [tex]x < -5[/tex]
Step-by-step explanation:
Given
[tex]5+x\ge3[/tex] or [tex]6x+1<-29[/tex]
Required
The solution
[tex]5+x\ge3[/tex]
Solve for x
[tex]x \ge 3 - 5[/tex]
[tex]x \ge -2[/tex]
[tex]6x+1<-29[/tex]
Solve for 6x
[tex]6x < -29 - 1[/tex]
[tex]6x < -30[/tex]
Solve for x
[tex]x < -30/6[/tex]
[tex]x < -5[/tex]
Hence, the solution is:
[tex]x \ge -2[/tex] or [tex]x < -5[/tex]
How many lines of symmetry does the figure below have?
Answer:
4
Step-by-step explanation:
straight (1)
horizontal (1)
both diagonals (2)
URGENT GIVING BRAINLIEST
no links no scams no fake answers no guessing use evidence if you get it correct with evidence i will give you 100 points
Answer: The mode is 3
The range is 12
Step-by-step explanation:
The mode is the most frequently appearing number
3
The range is the difference between the highest and lowest numbers
12 - 0 = 12
Please tell me if I got it right
Answer:
1/9
Step-by-step explanation:
1/3 / 3 = 1/9
she will run 1/9
jog 1/9
and walk 1/9
to check all of them equal 1/3
1/9+1/9+1/9 = 3/9 = 1/3
Which of these choices are square roots of 144? Check all that apply.
Answer:
E
Step-by-step explanation:
Catherine got 9 3/8 pounds of cherries from her tree this year last year she only got 6 1/4 pound how many times more pounds did she get this years than last year
Answer:
Answers and steps are in picture.
The length of a rectangle is five times its width.
If the perimeter of the rectangle is 60 cm, find its length and width.
length: 7 cm
Х
?
width: 1
cm
Answer:
The length of the rectangle is 25 cm, while the width is 5 cm.
Step-by-step explanation:
Given that the length of a rectangle is five times its width, to find its length and width, knowing that the perimeter of the rectangle is 60 cm, the following calculation must be performed:
(5X x 2) + (X x 2) = 60
10X + 2X = 60
12X = 60
X = 60/12
X = 5
5x5 = 25
Thus, the length of the rectangle is 25 cm, while the width is 5 cm.
Valerie and Bret have a total 18 dog show ribbons. Bret has twice as many ribbons as
Valerie
How many ribbons does each have?
no
Answer: Valerie has 9 and Bret has 18
Step-by-step explanation:
27-18= 9
Plz help me on this one.
Answer: 2
Step-by-step explanation:
Answer:
To find the value of x, add 5 to each side.
x - 5 = 13
+5 +5
x = 18
:)
Find the quotient using long division
6x2 - 8x + 5/
X-2
Step-by-step explanation:
hope this helps have a great day!
10 You are planning a party for a group of friends. The cost of
the party will be $30 to rent the room plus $5 per person.
You have a budget of $75. Which inequality gives you the
best estimate of the number of people p that you can invite
to your party?
Answer:
30+5p ≤ 75 (C)
Step-by-step explanation:
Well ”p” is amount of people and every person costs 5 dollars do 5p. 30 dollars for a single room so that s a one time fee, 30+5p
Now the budget can’t be greater than 75 and 75 is the greatest number so we use a less then or equal to sign
5p+30≤75 or (C)
Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false
Answer:
D
Step-by-step explanation:
Explain how 17.526 could be rounded to both 18 and 17.5.
Answer:
Step-by-step explanation:
If you round it to the nearest whole number, then 17.526 becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.
If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.
Hope this helps!
Answer:
Step-by-step explanation:
It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.
Hope this helps :)
The diameter of a circle is 8 centimeters. What is the circle's circumference?
Answer:
25.13 centimeters
Step-by-step explanation:
Mount McKinley in Alaska is North America’s highest mountain. The mountain is 20,320 feet high. To the nearest mile, find the distance from the summit to the horizon at sea level.
Answer:
4 miles
Step-by-step explanation:
3.8484848 rounded is 4
If a driver drives at a constant rate of 38 miles per hour, how long would it take the driver to drive 209 miles?
Answer:
5 hours and a half!
Step-by-step explanation:
209miles divided by 38 miles per hour is 5.5!!
17. Mrs. King took 12 crates packed with lunch boxes on a field trip. Each crate had 6 lunch boxes inside. How many lunch boxes were there altogether? Write a multiplication sentence to solve. IRROR
Answer:
12 x 6 = 72
Step-by-step explanation:
if she took 12 crates each with 6 boxes inside of them thats 12 x 6 lol
simple math moment
Joey compared the cost of 9 different toys.
$2, $8, $4, $7, $8, $5, $8, $4, $6
What is the median cost of the books?
Question 1 options:
$8
$5
$6
Answer:
6$
Step-by-step explanation:
$2, $8, $4, $7, $8, $5, $8, $4, $6
2, 4, 4, 5,6,7,8,8,8
6$
The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?
Answer:
Yes
Step-by-step explanation:
3²+4²=5²
9+16=25
25=25
What is the equation of a vertical line passing through the point (3, −5)? y = −5 x = −5 y = 3 x = 3
Answer:
Step-by-step explanation:
x = 3
Find the area of the parallelogram shown below.
Answer:
120 square unitsStep-by-step explanation:
Given,
Base of the parallelogram = 10
Height of the parallelogram = 12
Therefore,
Area of the parallelogram = base × height
= 10 × 12
= 120
Hence,
Area of the parallelogram is 120 square units (Ans)
Add seven to a product of a number and ten
Answer:
17
Step-by-step explanation:
10+7 = 17
Evaluate A2-B2 for A = 3 and B = -4.
O-2
0-7
Lenovo
Answer:
3×2+(-4)×(-2)=6+8=14
Use the commutative property write an equivalent expression.
7 + 8 =
Answer:
8 + 7
Step-by-step explanation:
By the commutative property,
7 + 8 = 8 + 7