A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips,
style of car and other features. The distribution of the number of months in service for the fleet of cars is
bell-shaped and has a mean of 63 months and a standard deviation of 11 months. Using the 68-95-99.7 rule,
what is the approximate percentage of cars that remain in service between 30 and 52 months?
Do not enter the percent symbol.
ans =
%
Answers
This value is approximate.
====================================================
Explanation:
mu = 63 = population meansigma = 11 = population standard deviationLet's convert x = 30 to its corresponding z score
z = (x-mu)/sigma
z = (30-63)/11
z = -33/11
z = -3
This score is 3 standard deviations below the mean.
Repeat for x = 52
z = (x-mu)/sigma
z = (52-63)/11
z = -11/11
z = -1
This score is 1 standard deviation below the mean.
The task of finding P(30 < x < 52) is the same as P(-3 < z < -1)
We converted to z scores so we could use the Empirical Rule.
Refer to the chart below. We'll be focusing on the left green portion that is between z = -3 and z = -2 and the left blue portion which is between z = -2 and z = -1.
Those two approximate areas add to: (2.35%) + (13.5%) = 15.85%
Related Questions
Suppose Sofia is considering a 5-year loan for $6,000 at an interest rate of 7%. Use the table to complete the statements. Type the correct answer in each box. Round your answer to the nearest cent. Monthly Payment per $1,000 of Principal Rate 1 Year 2 Years 3 Years 4 Years 5 Years 6.5% $86.30 $44.55 $30.65 $23.71 $19.57 7.0% $86.53 $44.77 $30.88 $23.95 $19.80 7.5% $86.76 $45.00 $31.11 $24.18 $20.04 8.0% $86.99 $45.23 $31.34 $24.41 $20.28 8.5% $87.22 $45.46 $24.65 $24.65 $20.52 9.096 $87.45 $45.68 $31.80 $24.89 $20.76 Sofia's monthly payment would be $118.80 The total number of monthly payments that Sofia would make over the life of the loan is 60 finance charge on her loan would be $1,128.00
Answers
a) The monthly payment for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be $118.80.
b) The total number of monthly payments that Sofia would make for the 5-year loan of $6,000 at an interest rate of 7% is 60.
c) The total finance charge for Sofia, who is considering the 5-year loan of $6,000 at an interest rate of 7%, would be approximately $1,128.00.
How is monthly payment calculated?The monthly payment to pay off a mortgage can be calculated using an online finance calculator as below.
Data and Calculations:Loan amount = $6,000
Maturity period = 5 years
Interest rate = 7%
N (# of periods) = 60 months (5 years x 12)
Results:
Monthly Payment = $118.81 ($34.02 + $84.79)
Mortgage Payment = $7,128.60 ($118.81 x 60)
Total of 60 Mortgage Payments $7,128.60
Total Interest = $1,128.60 ($7,128.60 - $6,000)
Monthly Amortization Schedule (for the first 3 months)Date Beginning Balance Interest Principal Ending
Repayment Balance
1 3/2022 $6,000.00 $35.00 $83.81 $5,916.19
2 4/2022 $5,916.19 $34.51 $84.30 $5,831.90
3 5/2022 $5,831.90 $34.02 $84.79 $5,747.11
Learn more about calculating monthly payments at https://brainly.com/question/24576997
Answer:
The table shows monthly payments for every $1,000 of principal borrowed. For a 5-year loan at 7%, the payment on a $1,000 loan would be $19.80.
So, for a loan of $6,000, the payment would be $19.80 × 6 = $118.80.
A 5-year loan will have 60 monthly payments since 5 × 12 = 60.
Multiply the monthly payment by 60 months to get the total amount paid on the loan:
$118.80 × 60 = $7,128.
To calculate the total finance charge, subtract the principal amount from the total amount paid on the loan:
$7,128 − $6,000 = $1,128.
Step-by-step explanation:
find the measure of the missing angles…
Answers
Answer:
Angle e = 35 degrees
Angle f = 180-35-109 = 36 degrees
Angle d = 109 degrees
Step-by-step explanation:
Where does the graph of the line y = x − 2 intersect the x-axis
Answers
(0,2) is your answer
Explanation
What is the measure of angle 1?
Answers
Answer:
Angle 1 is 129
Step-by-step explanation:
You do not need to solve the (3x+3) because you can see that these lines are parallel, so you can simply do 180-51 to get angle 1.
Given that the equation of a straight line is 2y - 3x + 6 = 0,
(a) Express the equation of the straight line in the form of y = mx + c
(b) Write down the y-intercept (C) of the equation
Answers
Step-by-step explanation:
Hi there!
Given;
The equation of straight line is 2y-3x+6 = 0.
a. Express in the form of y = mx + c.
2y-3x+6 = 0
2y = 3x-6
y = (3x-6)/2
y = (3/2)X - 3
Therefore, the required equation is : y = (3/2)x-3.
b.
The y-intercept of the equation is -3.
Hope it helps!
One more big help you guys
Answers
Answer:
[tex]\frac{1}{5^{7} }[/tex]
Hope this helps :)
Evaluate the expression when x=25 and y = – 4.
VX y
S!
y
у
y
(Type an integer or a simplified fraction.)
(SOMEONE PLEASE ANSWER TIMED TEST)
Answers
Answer:
answer is xy
Step-by-step explanation:
✓x-y=xy
y x=xy
Which graph represents the function below?
h(x)= {-3x+2, x ≤ 2}
{1/2x -4, x > 2}
Answers
Answer is the third graph it was just an error..
Suppose you have a bag of marbles that contains 8 blue marbles and 2 yellow marbles. If you select two marbles from the bag, one after the other without replacing the first, what is:
Answers
Answer:
6 is the answer.
PLASEEEEEEEEEEEE HLEPPPPPPPPPPPPP
Answers
Answer:
1. the smiley face, the top right corner.
2. top left corner again
3. rotation i think...
4. e looks like the answer not sure.
Step-by-step explanation:
ez... maybe
Answer:
1st page-1
2nd page-b on the second line
3rd-b
4th-a
5th-c
Step-by-step explanation:
Two trucks leave a warehouse at the same time. One travels north at an average speed of 58miles per hour, and the other travels south at an average speed of 64miles per hour. After how many hours will the two trucks be 488 miles apart?
Answers
Answer:
4 hours
Step-by-step explanation:
After 4 hours, the north-bound truck will have traveled 232 miles and the south-bound truck will have traveled 256 miles. 232 + 256 = 488 miles.
Please let me know fast
Answers
Answer:
b) 0
Step-by-step explanation:
[tex]a(b-c)+b(c-a)+c(a-b)\\\\ab-ac+bc-ba+ca-cb\\\\0[/tex]
The temperature outside dropped 13 degress in 7 hours. The final temperature was -2 degrees. What was the starting temperature
Answers
Answer:
11 degrees
Step-by-step explanation:
13-2=11.
solve for x,
7x+14÷3 - 17-3x ÷5=6x - 4x+2÷3-5
Answers
Answer: x = 4
Step-by-step explanation:
Given equation
7x + 14/3 - 17 - 3x = 6x - 4x + 2/3 - 5
Combine like terms on both sides
(7x - 3x) + 14/3 - 17 = (6x - 4x) + 2/3 - 5
4x + 14/3 - 17 = 2x + 2/3 - 5
Subtract 2/3 on both sides
4x + 14/3 - 17 - 2/3= 2x + 2/3 - 5 - 2/3
4x + 12/3 - 17 = 2x - 5
4x + 4 - 17 = 2x - 5
4x - 13 = 2x - 5
Add 13 on both sides
4x - 13 + 13 = 2x - 5 + 13
4x = 2x + 8
Subtract 2x on both sides
4x - 2x = 2x + 8 - 2x
2x = 8
Divide 2 on both sides
2x / 2 = 8 / 2
[tex]\boxed{x=4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
which which division problem does the diagram below best illustrate? 60 points
Answers
Answer:
If the diagram is 8 ovals with 4 squares each, and we know that this is a division,
then we have that an unknown number X is such that:
X/4 = 8 this is because we know that the division is by 4 (the number of squares in each oval) and the solution of the division is the number of ovals.
Then we can solve the equation for X. X/4 = 8
We multiply each side of the equality by 4 X= 4*8 = 32
then the diagram represents the division: 32/4 = 8 or " 32 divided by 4 = 8"
The sum of the first 20 terms of an arithmetic is 50, and the sum of the next 20 terms is -50. Find the is first term and command difference of the sequence?
Answers
Answer:
[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]
Step-by-step explanation:
1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;
2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;
for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.
3) if to solve the system of two equations, then:
[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]
4) finally: the first term is '39/8', the difference is '-1/4'.
Samuel reads 19 pages per hour. In all, how many hours of reading how many hours of reading will Samue l have to do this week in order to have read a total of 38 pages?
Answers
Answer:
Just 2 hours
Step-by-step explanation:
Since it takes 1 hour for 19, 19+19 is 38, so it takes 2 hours
what is the vertex of y<∣x−3∣+5
Answers
Answer:
(3, 5)
Step-by-step explanation:
The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.
Choose the best description of the associative property of addition.
O A. The smaller of two addends is called an associated number.
OB. The way in which numbers are grouped to be added does not change the sum.
O c. If one of two numbers is 1 more than the second number, the numbers are called associated numbers.
OD. When zero is added to a number, the sum is that number.
Answers
Answer:
B. The way in which numbers are grouped to be added does not change the sum.
Please find value of x
Answers
Answer:
x=140⁰
Step-by-step explanation:
80+50=130
180-130=50
50+30=80
360-80=
280/2
=140
Using knowledge that a straight line adds up to 180 degrees, to find the missing angle between 80 and 50 would be 50. ( 80+50 gives you 130. 180-130 gives you 50)
Now do 50 + 30 as those are the only know angles in the quadrilateral which gives you 80. Quadrilaterals add up to 360 so do 360-80 to find out the value of x + x . This give you 280. Now you divide 280 by 2 to give you 140. That how you work it out.
Hope this really helps.
the four vertices of a parallelogram are (3,2) (6,3) (9,6) and (a,B) find a and b
Answers
Answer:
(15,8)
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.To get from A to B we can move 3 right and 1 up
If the parallelogram was labelled anticlockwise then
to get from C the D we need to go 3 left and 1 down
This would make D the point (9 - 3, 6 - 1) = (6,5)
AB || DC because both have a slope of 1/3 [because (3 - 2)/(6 - 3) = (6 - 5)/(9 - 6)]
AD || BC because both have a slope of 1 [because (5 - 2)/(6 - 3) = (6 - 3)/(9 -6)]
You could make D (12,7) but then the corners would not be labelled in order which is the accepted method
In this case the slopes of AC and BD both be 2/3 [because (6 - 2)/(9 - 3) = (7 - 3)/(12 - 6) = 4/6]
There is one third of a cake shared equally between 5 children. How much of the cake does each child receive? Use the number line to help you.
Answers
Answer:
1/3÷5
=1/3×1/5
=1/15
each child receive 1/15 of cake
Elementary algebra 1/4 divided by 3 equals
Answers
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
What is 888 x - 666?
Answers
What is 888 x - 666? = -591408
[tex]Hello[/tex] [tex]There![/tex]
Ummmmm... I could be wrong?
I think it is...
-591408
Hopefully, this helps you!!
[tex]AnimeVines[/tex]
Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6)
Answers
Answer:
5/6
Step-by-step explanation:
(6-1)/(2- -4) --> 5/6
Answer: Slope = 5/6
Concept:
Here, we need to know the idea of a slope.
A slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Slope = (y₂ - y₁) / (x₂ - x₁)
Solve:
Given information
(x₁, y₁) = (-4, 1)
(x₂, y₂) = (2, 6)
Given equation
Slope = (y₂ - y₁) / (x₂ - x₁)
Substitute values into the equation
Slope = (6 - 1) / (2 - (-4))
Simplify values in parentheses
REMEMBER to change signs whenever a [+, -] meets [-] sign
Slope = 5 / (2 + 4)
Slope = 5/6
Hope this helps!! :)
Please let me know if you have any questions
I’m so confused what is answer to the value of x HELPPP
Answers
Answer:
x=5/2 or 2.5
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
Answer:
2.5 or 5/2
Step-by-step explanation:
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other - in other words, separated by the crossing point of the two lines, and not by the lines themselves.
that also means that they are equal.
and so,
8x + 15 = 4x + 25
4x = 10
x = 10/4 = 5/2 = 2.5
Evaluate the variable expression x + y for the given values of x and y. x = 38,221; y = 51,671
Answers
Answer:
89,892
Step-by-step explanation:
[tex]x+y[/tex]
[tex](38,221)+(51,671)[/tex]
[tex]89,892[/tex]
HELP ME !!!
Point M is the midpoint of AB. AM = 3x +3, and AB = 82
What is the length of AM?
Enter your answer in the box.
units
Answers
Answer:
if m is the midpoint of AB
then,AM will be equal to MB
Therefore,
[tex]3x + 3 + 3x + 3 = 82 \\ 6x + 6 = 82 \\ 6x = 82 - 6 \\ 6x = 76 \\ x = \frac{76}{6} = \frac{38}{3} \\ \\ |am| = 3x + 3 \\ \: \: \: = 3( \frac{38}{3} ) + 3 \\ = 38 + 3 \\ = 41[/tex]
Phương trình vi phân y'' - 2y' -3y =0 có nghiệm tổng quát là ?
Answers
Answer:
y = c1 e^-x + c2 e^(3x)
Step-by-step explanation:
Review linear DE's
(D-3)(D+1)y = 0
pls say hard very hard
Answers
Answer:
6
Step-by-step explanation:
The Volume is 4×6×9, which is 216
∛216
The cube root is 6.
I hope this helps!
pls ❤ and mark brainliest pls!