This question is incomplete, the complete question is;
The owners of Spiffy Lube want to offer their customers a 10-minute guarantee on their standard oil change service. If the oil change takes longer than 10 minutes to complete, the customers is given a coupon for a free oil change at the next visit. Based on past history, the owners believe that the timer required to complete an oil change has a normal distribution with a mean of 8.6 minutes and a standard deviation of 1.2 minutes.
Suppose management could improve the process by reducing the mean time required for an oil change (but keeping the standard deviation the same). How much change in the mean service time would be required to allow for a 10-minute guarantee that gives a coupon to no more than 1 out of every 25 customers on average
Answer:
Required change in the mean service time is 7.8988
Step-by-step explanation:
Given the data in the question;
How much change in the mean service time would be required to allow for a 10-minute guarantee that gives a coupon to no more than 1 out of every 25 customers on average
let mean = μ
p( x > 10 ) ≤ (1/25)
p( x > 10 ) ≤ 0.4
p( x-μ / 1.2 > 10-μ / 1.2 ) ≤ 0.4
(10-μ / 1.2 ) ≤ 0.4
(10-μ / 1.2 ) ≥ [tex]q_{norm}[/tex] ( 0.96 )
(10-μ / 1.2 ≥ 1.751
10-μ = ≥ 1.751 × 1.2
10-μ ≤ 2.1012
μ ≤ 10 - 2.1012
μ ≤ 7.8988
Therefore, required change in the mean service time is 7.8988
The Los Angeles Times regularly reports the air quality index for various areas of Southern
California. A sample of air quality index values for Pomona provided the following
data: 28, 42, 58, 48, 45, 55, 60, 49, and 50.
a. Compute the range and interquartile range.
b. Compute the sample variance and sample standard deviation.
c. A sample of air quality index readings for Anaheim provided a sample mean of 48.5,a sample variance of 136, and a sample standard deviation of 11.66. What comparisons can you make between the air quality in Pomona and that in Anaheim on the basis of these descriptive statistics?
Answer:
Range = 32 ; IQR = 13 ; Variance = 92.75 ; Standard deviation = 9.63
Step-by-step explanation:
Given the data:
28, 42, 58, 48, 45, 55, 60, 49, 50
Reorderd data: 28, 42, 45, 48, 49, 50, 55, 58, 60
The range: maximum - minimum
Range = 60 - 28 = 32
Interquartile range (IQR) : Q3 - Q1
Q3 = 3/4(n+1) th term. ; n = sample size
Q1 = 1/4(n+1)th term.
Using calculator :
Q3 = 56.5 ; Q1 = 43.5
IQR = 56.5 - 43.5 = 13
The variance :
Σ(X - m)^2 / n-1
m = Σx / n
Mean, m = 435 / 9 = 48.33
Variance :
[(28-48.33)^2 + (42-48.33)^2 + (45-48.33)^2 + (48-48.33)^2 + (49-48.33)^2 + (50-48.33)^2 + (55-48.33)^2 + (58-48.33)^2 + (60-48.33)^2] / 8
= 742.0001 / 8
= 92.75
Standard deviation = sqrt(Variance):
Sqrt(92.75) = 9.63
C.)
Sample mean are very close with a slightly greater Variability in the air quality of Anaheim over Pomona
A salesman earns 6% commission on all the merchandise that he sells. Last month he sold $9000 worth of merchandise. How much
commission (in dollars) did he earn last month?
The commission (in dollars) did he earn last month is 540$.
We have given
A salesman earns 6% commission on all the merchandise that he sells.
Last month he sold $9000 worth of merchandise.
Salesman earns 6% =6/100=0 .06
What is the meaning of commission?
Earning a commission means that a portion of your salary is based on the amount of sales revenue you generate or another similar performance-based goal.
So we have to determine 6% of 9000
We can be written as
=0.06 x 9000,
= 540$
The commission (in dollars) did he earn last month is 540$.
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3x - y = 2 convert the standard form to slope intercept form (y=mx+b)
1/6 divided by 4 plzzzzz
Answer:
1/6 x 1/4 2/24= 1/12 Answer 1/12
Step-by-step explanation:
Please mark brainliest
Answer:
1/6
=2/24
=1/2
Step-by-step explanation:
I hope it helps you if it helps you please mark brainliest
1. A refrigerator originally cost $795 refrigerator but it is currently on sale with a 20% discount. The sales tax is
9.75%. What is the final sale price after the discount and tax?
Answer:
1630.77
Step-by-step explanation:
795 * 20% = 159
159 divided 9.75% equals 1630.77
hope this helps :)
I NEED HELP
Suppose 24 is 2%. What is 100%?*
Answer:
1200
Step-by-step explanation:
If 24 is 2%, 100% would be 1200 because if you multiply 2 by 50 you get 100% so you multiply 24 by 50 which is 1200
Answer:
20.
Step-by-step explanation:
The strategy here is to see how many times the "percent number" (in this case, 25) goes into 100, and then count by that number until we reach 100-the whole thing. Here, we're told that 25% of a number is 5. So, to find 100% of the number, we count by 25s up to 100: 25, 50, 75, 100. 100% is 20.
linear function, pls help
Answer:
A
Step-by-step explanation:
Q3
Work out the volume of each of these items:
a) a bag of sugar of mass 1000 g and density 1.6 g/cm
b) a packet of margarine with density 2.8 g/cm and mass 250 g
Answer:
Step-by-step explanation:
1000 g × (1 cm³)/(1.6 g) = 1000/1.6 cm³ = 625 cm³
:::::
250 g × (1 cm³)/(2.8 g) = 89.3 cm³
Becky made 63 carnival masks which is 30 % less than the number her brother made How many carnival masks did beck and her brother make in total?
Answer:
sorry im not smart
Step-by-step explanation:
sorry
THis is akward lol
oh can u help me i really need help
Answer:
>
Step-by-step explanation:
0.13 is greater than 0.091
Find the value of x.
x = [?]
Answer:
14
Step-by-step explanation:
Since both the chords are equidistant from the center of the circle, so their lengths would be same.
x = 2*7 = 14
Evaluate the function when X=3 , X=0 , and x=-2.
Answer:
12)f(x)=2x-6
=》f(3)=2(3)-6
=》6-6=0
f(×)=2x-6
f(0)=-6
=》f(-2)=2(-2)-6
=》-4-6
=-10
13)h(3)=6(3)+2
=》18+2
=20
h(0)=0+2
=2
h(-2)=6(-2)+2
=》-12+2
=-10
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Determine whether each statement is true or false:
a. Adding a multiple of one column of a square matrix to another column changes only the sign of the determinant.
b. Two matrices are column-equivalent when one matrix can be obtained by performing elementary column operations on the other.
c. If one row of a square matrix is a multiple of another row, then the determinant is 0.
Answer:
a. False
b. True
c. True
Step-by-step explanation:
The statement a is false and the other two statements are true. Adding a multiple of one column not only changes the sign of the determinant but also the variables are changed. When two rows of square matrix are equivalent then the determinant is zero which means when one row is multiple of another row the determinant is zero.
please help test due tomorrow. I'll give the correct answer brainliest
solve for x. show your work.
What is the slope of the line shown below?
10
O A. -3
(4,8)
5
O B. - 1
3
(2, 2)
-5
5
10
15
O c. 3
1
O D.
-10 +
Slope of the line shown is option C. 3.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given is a line.
The two points that the line passes through is given.
(4, 8) and (2, 2)
Slope of a line passing through two points can be found as,
Slope = (Change in y coordinates ) / (Change in x coordinates)
Here the points are (4, 8) and (2, 2),
Slope = (2 - 8) / (2 - 4)
= -6 / -2
= 3
Hence the slope of the line given is 3.
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Find the average rate of change
Answer:
x=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Average rate of change is (y2-y1)/(x2-x1)
(2(11)-5-2(8)+5)/(11-8)
6/3
2
However since y =mx+b where m is the slope or rate of change we can see that m=2 without calculating.
Solve the inequality. Please show your math work step by step.
-3x+4<25
Answer:
x > -6.33
Step-by-step explanation:
-3x + 4 < 25
-3x + 4 - 4 < 25 - 4
-3x < 19
-3x/3 < 19/-3
x > -6.33
Answer:
x> -7
Step-by-step explanation:
Subtract 4 from both sides:
−3x+4−4<25−4
Simplify:
−3x<21
Multiply both sides by −1 (reverse the inequality)
(−3x)(−1)>21(−1)
Simplify again:
3x>−21
Divide both sides by 3
(3x/3) >(−21/3 )
Simplify again to get the result!
x > -7
What is x in 15 = -3(x -2)
Answer:
-3
Step-by-step explanation:
15 = -3(x -2)
-5=x-2
-3=x
Answer:
x = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
15 = -3(x - 2)
Step 2: Solve for x
[Division Property of Equality] Divide -3 on both sides: -5 = x - 2[Addition Property of Equality] Add 2 on both sides: -3 = xRewrite/Rearrange: x = -3A manufacturing company is shipping a certain number of orders that need to weigh between 193 and 194 pounds in order to ship. Use the dot plot below to answer the following questions.193193.1193.2193.3193.4193.5193.6193.7193.8193.9194Step 1 of 3 : How many orders did the company ship between 193 and 194 pounds
Answer:
15 orders
Step-by-step explanation:
The computation of the orders did the company ship between 193 and 194 is given below:
= 1 dot + 2 dot + 3 dot + 8 dot + 1 dot
= 15 orders
We just simply count the total dots shown in the attached image in order to determine the number of orders
Find the slope of the following graphs?
Answer:
the gradient is 2/3
Step-by-step explanation:
you find the difference in the height and length, so in this case 2 divided by 3
Whats is the distance between the ferris wheel and the merry-go-round? Ferris wheel on the coordinate plane is (-9,6) and the location of the merry-go-round is (10,6)
Answer:
19 units
Step-by-step explanation:
use distance formula: d = [tex]\sqrt{(x_2-x_1)^{2}+(y_2+y_1)^{2}}[/tex]
x₂ = 10
x₁ = -1
y₂ = 6
y₁ = 6
now plug in
[tex]\sqrt{(10-(-9))^{2}+(6-6)^{2}}\\= \sqrt{19^{2}+0^{2}\\}\\= \sqrt{361}\\= 19[/tex]
Please answer this question for me thank you.
Answer:
24
Step-by-step explanation:
S is 24. 24 times 5 equals 120. To find the answer, you need to divide the bigger number (120) by the other number (5) and then you will get your answer.
que resultado da 24 entre 8
Answer:
24÷8=3
Step-by-step explanation:
Green lawns uses 33 oz. Of fertilizer for 5.5 acres. Assume the company is fertilizing 0.5 of am acre. How much fertilizer does ot need?
Identify all sets to which the number -7 belongs.
Answer:
Step-by-step explanation:
-7 which set of number belongs, betwen
Natural
Whole
Intergers
Rational
Irrational
Real
2squared minus 4squared plus 1 plus 7 squared can you find the answer
2²-4²+1+7²
we should solve the numbers with exponents :
4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38
pls give me brainliest
A(-2,-2) B(-1,2) C(2,1) / A (-4,-4) (-2,4) C(4,2)
Answer:
umm lettders dont go in math pst this in englash
Step-by-step explanation
yeet
Find the area of the rhombus
Answer:
[tex] Area \: of \: rhombus =96\: cm^2 [/tex]
Step-by-step explanation:
[tex] d_1= 2\times 8 = 16\: cm[/tex]
[tex] d_2= 2\times 6 = 12\: cm[/tex]
[tex] Area \: of \: rhombus =\frac{1}{2} d_1d_2[/tex]
[tex] Area \: of \: rhombus =\frac{1}{2}\times 16 \times 12[/tex]
[tex] Area \: of \: rhombus =8 \times 12[/tex]
[tex] Area \: of \: rhombus =96\: cm^2 [/tex]
HELP PLS its advanced pre algebra grade 7
Answer:
x=4
Step-by-step explanation:
3/4(x+8)=9
simplify
3/4x+6=9
-6 -6
3/4x=3
multiply 4
3x=12
divide 3
x=4