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
7(6-4) distribitive property
Answers
Answer:
14
Step-by-step explanation:
Multiply 7 and 6, then 7 and -4: 42-28=?
Subtract: 42-28=14
HW #3 review
I will give brainliest to whoever gets it right
Answers
Hi there!
The numbers you have written there are correct.
[tex]-5<x<0[/tex] is true for any value of x that is greater than -5 or less than 0.
When a number is less than 0, we know that it has to be negative.
However, it cannot be more negative than -5. It cannot be -5 either.
So, x could be -1, -2, -3, -4, -1/2, -2.3, -4.9, the list goes on.
I hope this helps!
Danny got a raise and now makes $58,965.95 a year. Round this number to the
nearest:
a) dollar
b) thousand dollars
c) ten thousand dollars
Answers
Answer:
c) ten thousand dollars
Step-by-step explanation:
For the following set of sample data: {10, 50, 60, 70, 75 79, 85, 90, 91, 95, 100, 110} Find the sample mean.
Answers
Answer:
76.25
Step-by-step explanation:
Which of the
following numbers
falls between 8 and 9
on the number line
square root of 75 or square root of 100?
Answers
Answer: [tex]\sqrt{75}[/tex]
================================================
Explanation:
Square both 8 and 9 to get
8^2 = 8*8 = 649^2 = 9*9 = 81Since 75 is between 64 and 81, this means [tex]\sqrt{75}[/tex] is between 8 and 9
Put another way, we can say this:
[tex]64 < 75 < 81\\\\\sqrt{64} < \sqrt{75} < \sqrt{81}\\\\\sqrt{8^2} < \sqrt{75} < \sqrt{9^2}\\\\8 < \sqrt{75} < 9\\\\[/tex]
Or we could use a calculator to find that:
[tex]\sqrt{75} \approx 8.66[/tex] [tex]\sqrt{100} = 10[/tex]Which is another way to see why [tex]\sqrt{75}[/tex] is between 8 and 9.
Please help due tomorrow
Answers
The scaled factor is 3 for all of them.
what is the value of the 2 in 3,261? the 3? the 1?
Answers
Answer:
The 2 is 200
The 3 is 3000
The 1 is 1
And if needed
The 6 is 60
Step-by-step explanation:
2 is in hundredths place
3 is in thousand place
6 is in tens place
1 is in ones place
hope this helps
What is the relationship between the 6s in 675,002 and 385,621
Answers
Answer:
The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.
Maggies brother is 4 years younger than three times her age the sum of there ages is 28 how old is maggie
Answers
Answer:
24
Step-by-step explanation:
Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?
Answers
Answer:
the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.
Step-by-step explanation:
Step 1:
Measure the change in X and Y of a single length of the original image.
X1 = 3.5
Y1 = 5
Step 2:
Measure the change in X and Y of the same length on the modified image.
X2 = 8.5
Y2 = 12.5
Step 3:
use formula SF = X2/X1 = Y2/Y1
(SF = Scale Factor Dilation)
(X2 and Y2 = change in X and Y of the same length on the modified image.)
(X1 and Y1 = change in X and Y of a single length of the original image.)
X2 = 8.5
8.5/X1
X1 = 3.5
8.5/3.5
8.5/3.5 = 2.4
2.4
1 : 2.4
Find the perimeter and area of a rectangle of cardboard measuring 11.3 cm by 14.8 cm.
Answers
Area of rectangle = Length * Width
Length = 11.3 cmWidth = 14.8 cmArea = 11.3 cm * 14.8 cm
Area = 167.24
PerimeterPerimeter of rectangle = 2 (L + W)
Length = 11.3 cmWidth = 14.8 cmPerimeter = 2 (11.3 cm + 14.8 cm)
Perimeter = 2 (26.1 cm)
Perimeter = 52.2 cm²
Final AnswerArea of rectangle is 167.24 cm²
Perimeter of rectangle is 52.2 cm²
Graph the given function.
f(x)=(x-1)^3+2
Answers
Answer:
Sorry
Step-by-step explanation:
For my Poor H. And Coordinates
order these numbers in ascending order. -11, 11.8 9.42 ,10
Answers
Answer:
-11,9.42,10,11.8
-11<9.42<10<11.8
Answer:
I think the answer is
-11, 9.24 ,10, 11.8
Simplify the following expression. 2p – 10 – 4p – 7
Answers
Answer:
the answer is-2p-3
hope is helpful
Answer:
2p – 10 – 4p –7
–2p –17
I hope I helped you^_^
What is a rational number between -1/5 and -2/5?
Answers
Answer:
-1/4
Step-by-step explanation:
-0.25
17/3x + 17 - 2/3x - 15
Answers
Find the median of the following set of data: 52,84,94,102,94,89,73
Answers
Answer:
Step-by-step explanation:
the median is 89, the mode is 94, and the mean is 84
I need help solving this question please with an explanation.
Answers
Answer:
if he work 3 hours and earn 40.50
then the money he earn per hour is 40.50/3=13.5 ans
John has an account balance of $20. He receives his weekly paycheck
for work at his part-time job in the amount of $110. He can't find
a bike he wants, so he buys some comic books for $40. Then John
finds his dream bike priced as shown. If he buys the bike now, what
will his account balance be?
Answers
Step-by-step explanation:
Accounts balance=$20
Part time job salary=$110
Total balance
\begin{gathered}\\ \sf\longmapsto 110+20=130\$\end{gathered}
⟼110+20=130$
Now
Price of comics=$40
Price left for bike
\begin{gathered}\\ \sf\longmapsto 130-40=90\$\end{gathered}
⟼130−40=90$
After buying the dream bike, John's account balance will be -$110.
Let's calculate John's account balance after each transaction step by step:
1. Initial balance: $20
2. Weekly paycheck: +$110
Account balance = $20 + $110 = $130
3. Buys comic books: -$40
Account balance = $130 - $40 = $90
4. Buys dream bike: -$200
Account balance = $90 - $200 = -$110
After buying the dream bike, John's account balance will be -$110. This means he will have a negative balance of $110, indicating that he owes the bank or whoever manages the account. It's important to be cautious with negative balances as they can result in overdraft fees or other penalties depending on the account type and the bank's policies.
To know more about account:
https://brainly.com/question/6975956
#SPJ3
In a class there are 27 students. If there are 7 more girls than boys in the class how many students are girls?
Answers
Answer:
10boys, 17 girls
Step-by-step explanation:
10+17=27,
17-10=7
Answer: there are 17 girls in the class
Step-by-step explanation:
let the number of boys be x
and the number of girls be re[presented as 7+x
Since there are a class of 27 containing the sum of the boys and girls, we have our equation as
boys +girls =27
x+ 7+x=27
7+2x =27
2x=27-7
2x=20
x=20/2=10
Boys =x=10
girls= 7+x=7+10=17
See similar question here: https://brainly.com/question/21953702
Someone please help me with 13 and 14 I’m really struggling
Answers
Answer:
Step-by-step explanation:
A board of wood measures 58 inches thick. If you stack the boards 6212 inches high, how many boards are in the stack
Answers
Answer:
107 full and .103 of another
Step-by-step explanation:
6212/58 =
simplify. (3st)^2
a.6s^2t*2
b. 9s^2t^2
c. 3st^2
d. 2s^2t^2
Answers
Answer:
b. 9s^2 t^2
Step-by-step explanation:
If (x*y) ^ 2 = multiple of x and y then power 2
(x * y) ^2 is equal to (x^2 * y^2)
That makes 9s^2t^2
Answer:
Option B. 9s^2t^2 is the correct answer.
Step-by-step explanation:
I just completed it.
Is [tex]2 \frac{2}{3} [/tex]
a rational number
Answers
The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.
Answers
Let the input be x
x is greater than or equal to 70mg/dl.x is less than or equal to 130mg/dl.[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]
[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]
Now
[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]
Or
[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]
Answer:
70 ≤ x ≤ 130
130 ≥ x ≥ 70
Step-by-step explanation:
We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;
70 < x < 130
This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.
In word form you would say this:
A humans glucose level can only be more than or equal to 70 and less than or equal to 130.Best of Luck!
What is the range with steps? f(x)=x^2+8x+8
Answers
Answer:
[-8, ∞)Step-by-step explanation:
Given function:
f(x)=x² + 8x + 8This is a quadratic function with positive leading coefficient, therefore it is an increasing function with its minimum at vertex. It has no maximum value.
The vertex is at x = -b/2a:
x = -8/2 = -4The minimum value is:
f(-4) = (-4)² + 8(-4) + 8 = 16 - 32 + 8 = -8The range of the function is:
[-8, ∞)f(x)=x^2+8x+8
Find vertex to x[tex]\\ \sf\longmapsto \dfrac{-b}{2a}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8}{2(1)}[/tex]
[tex]\\ \sf\longmapsto \dfrac{-8}{2}[/tex]
[tex]\\ \sf\longmapsto -4[/tex]
Find value of function at -4[tex]\\ \sf\longmapsto f(-4)[/tex]
[tex]\\ \sf\longmapsto (-4)^2+8(-4)+8[/tex]
[tex]\\ \sf\longmapsto 16-32+8[/tex]
[tex]\\ \sf\longmapsto -16+8[/tex]
[tex]\\ \sf\longmapsto -8[/tex]
The range is
[tex]\\ \sf\longmapsto (8,\infty)[/tex]
The expression 1/x+y
is equal to which quantities?
(1/x) + y
1/x + y
1/(x + y)
Answers
The equivalent form of the given expression is 1 /(x + y)
The given expression:
[tex]\frac{1}{x+y}[/tex]
To find:
the equivalent form of the expression:The equivalent form of the expression can be written as follows:
[tex]\frac{1}{x+y} = 1 /(x + y)[/tex]
For example, if x = 1 and y = 2, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(1 + 2)} = \frac{1}{3}[/tex]
Also, if x = 2 and y = 3, the inverse of the expression can be written as;
[tex]\frac{1}{x + y} = \frac{1}{(2 + 3)} = \frac{1}{5}[/tex]
Thus, the equivalent form of the given expression is 1 /(x + y)
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What is 48% of 159 express your answer rounded correctly to one decimal place
Answers
Answer:
.48 * 159 = 76.32
Step-by-step explanation:
48%
=0.48
Step 2: multiply to find the percent
0.48*159=76.32
So 48% of 159 is 76.32
Step 3: Round to the nearest tenth (assuming the one decimal place means tenth place)
76.32
=76.3
Jasmine bought 3500g of flour. She used 3/7 of it to bake some tarts and 700g of it to bake a cake. Find the ratio of the amount of flour used for baking the cake to the amount of flour used for baking the tarts to the remaining amount of flour.
Answers
Answer: 15:13
Step-by-step explanation: 7/7=3500
1/7=3500÷7=500500x3=15001500+700=22003500-2200=13001500:130015 : 13 (if there is a need to simplify the ratio)A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the following is closest to the tip the waiter can expect when a customer has a bill that is $78.20?
A) $8.00
B) $10.00
C) $12.00
D) $14.00
(Pls add in the step-by-step explanation)
Answers
Answer:
C) $12.00
Step-by-step explanation:
Take the price of the bill
78.20
Find 10 %
78.20 * .1
7.82
Take half ( which is 5%)
3.91
Add the two amounts together
7.82+3.91
11.73
Rounding to the nearest dollar
12.00
OR
Round the bill to 80.00
Take 15%
80 * .15
12.00
