You are asked to advise Alpha Tire Co. on the feasibility of offering a 35,000-mile warranty on their tires. At this time Alpha Tire believes the mean time to failure is 40,000 miles
µ
with standard deviation of miles to failure at 3700 or
. If a free replacement warranty is offered, promising that the tires will last for at least 35,000 miles, what proportion of tires would qualify for the free replacement because they are expected to fail while they were still covered by the warranty? In light of your finding, what advice would you give to Alpha Tires about a warranty for a free tire replacement if the tires fail before 35,000.
Answers
Where the above conditions exist, the probability is that about 41.19% of tires woudl be eligible for free replacement.
Why is this so ?Using a standard normal distribution table or calculator, we can find the z scores corresponding to 35,000 miles and 40,000 miles...
z 1 = ( 35,000 - 40,000) / 3,700 = -1.35
z 2 = (40,000 - 40,000) / 3,700 = 0
Then, we can find the area between these z scores, which represents the proportion of tires that would fail before 40,000 miles and qualify for a free replacement:
P( -1.35 < Z < 0) = 0.4119 or 41.19%
What it means is that , about 41.19% of the tires would qualify for a free replacement.
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Related Questions
Kingsley knows that 111 inch is about 2.542.542, point, 54 centimeters. He wants to write an equation he can use to convert any given length in inches (i)(i)left parenthesis, i, right parenthesis to centimeters (c)(c)left parenthesis, c, right parenthesis.
How should Kingsley write his equation?
WILL MARK BRAINLIEST
Answers
Answer:
C=2.54i
Step-by-step explanation:
The dependent variable is the value that is affected when we change the independent variable—it depends on the independent variable. So, we write equations with the dependent variable by itself.
The phrase "given" can mean "depend on". For example, if we want to find x given y, then the value of xxx depends on the value of y. In other words, xxx would be the dependent variable, and y would be the independent variable.
Hint #22 / 3
Kingsley wants to write an equation he can use to convert any given length in inches to centimeters. This means that inches (i)left parenthesis, i, right parenthesis is the independent variable, and centimeters (c) parenthesis, c, right parenthesis is the dependent variable.
Kingsley should write his equation with the dependent variable ccc by itself.
Hint #33 / 3
Kingsley should write his equation as c=2.54ic=2.54ic, equals, 2, point, 54, i.
Kingsley must multiply the measure in centimeters by 1 / 2.54 to get a unit conversion equation in inches.
How to derive a unit conversion formula?
Kingsley knows the conversion rate between inches and centimeters and wants to derive a formula. Both the inch and the centimeter are length units and we can represent it by the following ratio:
y / x = 2.54 (1)
Where:
y - Length, in centimeters.x - Length, in inchesThen, we clear the variable x in (1) to find the unit conversion formula:
x = y / 2.54 (2)
Kingsley must multiply the measure in centimeters by 1 / 2.54 to get a unit conversion equation in inches.
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Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answers
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
Answers
When writing a proof , by copying the “given” statement(s) from the original problem
Given data ,
A true assertion that is provided in the problem or is known to be true should be the first statement in a proof. The subsequent logical argument has this as its foundation.
We can provide the groundwork for the proof and proceed to the desired conclusion by duplicating the "given" statement(s) from the original problem.
Once the first statement is established, we can move on to writing additional statements that are each logically supported by the first statement.
The logical evolution of the preceding assertions demonstrates that the last statement should be the intended conclusion.
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If you flip two coins 68 times, what is the best prediction possible for the number of times both coins will land on heads?the number of times it will land on tails?
Answers
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is 17.
If you flip two coins 68 times, the best prediction for the number of times both coins will land on tails is 17.
What is the probability of getting two heads?The possible outcomes when two coins are flipped are;
head - head = HH
tail - tail = TT
Head and tail = HT
Tail and head = TH
The probability of getting two heads = 1/4
If you flip two coins 68 times, the best prediction for the number of times both coins will land on heads is calculated as;
Expected value = (68 flips) x (1/4 probability of getting HH) = 17
The probability of getting two tails = 1/4
Expected value = 68 x 1/4 = 17
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Mrs. Chin paid a 20 percent tip on the bill for lunch.
20%
$2.75
Percents
20%
$2.75
20%
$2.75
Total
100%
20%
20%
$2.75
$2.75
If the tip amount was $2.75, what was the bill for lunch before the tip was added to it?
O $5.50
O $13.75
O $16.50
O $55.00
Answers
Answer:
B. 13.75
Step-by-step explanation:
2.75/0.2=13.75
...............
Answer:
B
Step-by-step explanation:
if x=-4 then what is x^2? in an equation for my homework, they have the solution as positive instead of negative and I don’t understand why.
Answers
X^2 = -4^2
16.
Answer:
see explanation
Step-by-step explanation:
Given
x² , then when x = - 4
x² = - 4 × - 4 = + 16
[ the product of a negative and a negative results in a positive ]
Use the drawing tool(s) to form the correct answer on the provided graph.What is the inverse of the function shown.
Answers
Given data:
The first point in the graph is (a, b)=(5,0).
The second point on th graph is (c,d)=(0,-5).
The expression for the equaion of the line passing through the given points is,
y-b= (d-b)(x-a)/(c-a).
Substitute the given values in the above expression.
y-0=(-5-0)(x-5)/(0-5)
y=x-5
The above expression can be written as,
x=y+5
To get the inverse of the function replace y by x in the above expression.
f^(-1)(x)=x+5
Thus, the inverse of the given function is x+5.
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answers
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
Caroline, Colin & Sarah share some money.
Caroline gets
1
9
of the money.
Colin and Sarah share the rest in the ratio 1:3.
What proportion does Sarah get?
Answers
Answer:
Colin and Sarah get 1 - 1/9 = 8/9 of the money
A ratio of 3 :1 means that there are 4 parts of the 8/9....so....each part = 8/9 * 1/4 = 8/36 = 2/9
And Colin gets 3 parts of the 8/9 = 3 * 2/9 = 6/9 = 2/3 of the money
Step-by-step explanation:
50 Points! Multiple choice algebra question. If r(x)=x^3-2x+1, find r(2a^3). Photo attached. Thank you!
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. \(8a^{9} -4a^{3} +1\)
Step-by-step explanation:
Given \(r(x)=x^{3} -2x+1\) and find \(r(2a^{3} )\) :
\(r(2a^{3} )\) is the same as saying \(x=2a^{3}\)So, we have \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)Solve for \(r(2a^{3} )\) :
1. \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1\)
Start with simplifying \((2a^{3})^{3}\)\((2a^{3})^{3}=2^{3}*(a^{3})^{3}=8*a^{3*3}=8a^{9}\)When you have a quantity raised to a power, or an exponent, you have to distribute the exponent to each term multiplied.When you multiply two terms that are raised to a power, you add the powers.When you divide two terms that are raised to a power, you subtract the power in the numerator from the power in the denominator.When you have a power raised to a power, you multiply the powers.2. \(r(2a^{3} )=8a^{9} -2(2a^{3})+1\)
Simplify \(2(2a^{3})\)Multiply two times the quantity\(2(2a^{3})=4a^{3}\)3. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
Answer:
So, if \(r(x)=x^{3} -2x+1\), then \(r(2a^{3} )=(2a^{3})^{3} -2(2a^{3})+1=8a^{9} -4a^{3}+1\).
Then the answer is D. \(r(2a^{3} )=8a^{9} -4a^{3}+1\)
the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answers
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
Last month, a coral reef grew 9000 millimeters taller. How much did it grow in meters? Be sure to Include the correct unit in your answer.
Answers
Answer:
i don´t know my head hurts to do that without writing it down
Step-by-step explanation:
Answer:
9m
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST
travelling to France, a plane encounters a tailwind and averages 282 mph. however, on the return trip the plane, now travelling against the same wind averages 222 mph. find the speed of the wind of the plane in no wind
Answers
Answer:
.
Step-by-step explanation:
Use the triangle shown on the right to complete the statement:
_____ (75*)=14.1/x
Answer: cos
2nd part: Use the equation shown to solve for the value of x. Round to the nearest tenth.
cos(75*)=14.1/x x=14.1/cos(75*)
Answer: 54.5 in
Answers
Answer:
Step-by-step explanation:
The answer is 54.5 on edg
For the triangle shown on the right, the term cos is used to complete the statement and the value of x is 54.5 degree for the triangle.
What is right angle triangle property?In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
\(\rm \cos=\dfrac{ adjacent}{hypotenuse}\)
Here, (a) is the adjacent side, (c) is the hypotenuse side and θ is the angle made between them.
The traingle is not provided in the image. Let the triangle for the given problem is similar to the attached image below.
Here the hypontenuse side is AC and adjacent side of triangle is 14.1 units. Thus by the property of right angle triangle,
\(\cos75=\dfrac{AB}{AC}\\\cos75=\dfrac{14.1}{x}\)
Now if we compare the above equation with the given statement __(75*)=14.1/x. The term cos is filled in the blank.
For the second part, we need to find the value of x. Thus solve the above equation further as,
\(\cos75=\dfrac{14.1}{x}\\x=\dfrac{14.1}{\cos75}\\x=\dfrac{14.1}{0.25882}\\x\approx54.5^o\)
Hence, For the triangle shown on the right, the term cos is used to complete the statement and the value of x is 54.5 degree for the triangle.
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The midpoint of AB is M(1, 4). If the coordinates of A are (8, 7), what are the
coordinates of B?
Answers
\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{8}~,~\stackrel{y_1}{7})\qquad B(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +8}{2}~~~ ,~~~ \cfrac{ y +7}{2} \right) ~~ = ~~\stackrel{\textit{\LARGE M}}{(1~~,~~4)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ x +8}{2}=1\implies x+8=2\implies \boxed{x=-6} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y +7}{2}=4\implies y+7=8\implies \boxed{y=1}\)
a number n decreased by the difference between six and the number
Answers
Answer: 2n - 6
Step-by-step explanation:
n - (6-n)
n - 6 + n
2n - 6.
2n - 6 is more simplified than n - (6-n) but if they want you to write it just as the words say, than go with n - (6-n)
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
Answers
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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Write an equation in the form y = mx for the relationship shown in the graph below.
Answers
A box is filled with two different sizes of bolts. 35% are small bolts that have a mass of 20 grams each and 65% are large bolts that have a mass of 30
grams each. What would be the mass of 600 total bolts. Hint: Treat this like an average atomic mass problem to find the average mass of the bolts and
then multiply it by 600.
O 15,900 grams
O 12,300 grams
O 8,600 grams
O 20,370 grams
Answers
Answer:
The first option
15, 900 grams
Step-by-step explanation:
Total number of bolts = 600
Out of these 35% are small bolts
35% of 600 = 0.35 x 600 = 210
Total mass of 210 small bolts = 210 x 20 = 4200 grams
The remaining number of bolts = 600 - 210 = 390 large bolds
Their total mass = 390 x 30 = 11,700 gms
Total mass of all 600 bolds = 4,200 + 11, 700 = 15, 900 grams
This is the first of the listed choices
what is the equation for the perpendicular bisector of the line segment whose endpoints are (-7, 2) and (-1,-6)
Answers
The equation of the perpendicular bisector of the line segment with endpoints (-7, 2) and (-1, -6) is y = (3/4)x + 1.
To find the equation of the perpendicular bisector of a line segment, we need to determine the midpoint of the line segment and the slope of the line segment. The perpendicular bisector will have a negative reciprocal slope compared to the line segment and will pass through the midpoint.
Given the endpoints (-7, 2) and (-1, -6), we can find the midpoint using the midpoint formula:
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Midpoint = ((-7 + (-1))/2, (2 + (-6))/2)
= (-8/2, -4/2)
= (-4, -2)
The midpoint of the line segment is (-4, -2).
Next, we need to find the slope of the line segment using the slope formula:
Slope = (y2 - y1)/(x2 - x1)
Slope = (-6 - 2)/(-1 - (-7))
= (-6 - 2)/(-1 + 7)
= (-8)/(6)
= -4/3
The slope of the line segment is -4/3.
Since the perpendicular bisector has a negative reciprocal slope, the slope of the perpendicular bisector will be 3/4.
Now, we can use the midpoint (-4, -2) and the slope 3/4 in the point-slope form of a line to find the equation of the perpendicular bisector:
y - y1 = m(x - x1)
y - (-2) = (3/4)(x - (-4))
y + 2 = (3/4)(x + 4)
y + 2 = (3/4)x + 3
y = (3/4)x + 1.
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The Murray family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:4
Step-by-step explanation:12/3
Mrs. Taylor is planning a pizza party for her students. She plans to purchase cheese pizza and pepperoni pizza for her students to enjoy. Cheese pizzas cost $8 each and pepperoni pizzas cost $11 each. She needs to purchase at least 12 pizzas, while spending no more than $180.
What are two combinations of cheese and pepperoni pizzas that Mrs. Taylor can purchase without exceeding her spending limit?
Let x represent the number of cheese pizzas purchased and y represent the number of pepperoni pizzas purchased.
Answers
Answer:
Step-by-step explanation:
She needs 12 pizzas
x + y = 12
She also can't spend more than 180 dollars.
8x + 11y < 180 She can get all 12 pizzas and have the bill come to 132 dollars
11 * 12 = 132
She could really be kind to her pocket book and get all cheese pizzas
8*12 = 96 which saves her 36 dollars.
So any number of either kind will do.
(0,12) = 132
(1,11) = 8*1 + 11*11 = 129
and so on down the line
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
Find the slope of each line that passes through the given point.
(1,12) and (-5,-9)
Answers
Answer:
m = 7 /2
Step-by-step explanation:
Answer:
Step-by-step explanation:
(1,12)(-5,-9)
m=7/2
The expression above can also be written in the form
So what is A =
Answers
Answer:
what is the expressio
Step-by-step explanation:
SHOW ALL WORK PLEASE! A right cylinder has a radius of 7 cm and a height of 3 cm.
Answer the following questions and make sure to show all your work.
(a) Find the Surface Area of the cylinder.
(b) Find the Volume of the cylinder.
(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?
1. Doubling the radius to 14 cm, while the height remains 3 cm.
-OR
2. Tripling the height to 9 cm, while the radius remains 7 cm.
Answers
Answer:
(a) Surface Area = 140 π cm² = 438.823 cm²
(b) Volume = 147 π cm³ = 461.814 cm³
(c) Doubling the radius, keeping height constant results in more volume
Step-by-step explanation:
Volume of a cylinder with base radius r and height h is given by
V = π r² h
Surface Area A = 2 π r(h + r)
Given r = 7 cm, height = 3cm
(a) Surface Are = 2 x π x 7(7 + 3) = 14 π (10) = 140 π cm² =438.823 cm²
(b) Volume = π x 7² x 3 = 147 π = 461.814 cm³
(c) If we double the radius to 14 cm with height at 3 cm (Option 1), the volume would quadruple to 4 because the new radius is twice the old radius and since volume is proportional to square of radius, new volume will be (2r)² = 4r² where r is the old radius
So new volume = 4 x 461.814 = 1,847.256 cm³
If we triple the height to 9 cm, keeping radius at 7, the volume would only triple since it is directly proportional to height
So new volume = 3 x 461.814 = 1,385.442 cm³
So to get more volume, idea 1, doubling the radius works
Hank made payments of $219 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for $195,258. What interest rate, compounded monthly, would he need to earn on an ordinary annuity for a comparable rate of return?
Answers
To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.
To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.
First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.
Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.
Using the formula for the present value of an ordinary annuity, we have:
PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.
Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.
Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.
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What is the volume of the composite figure?
Answers
The volume of the composite figure is 408 cm³
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operations like exponents, addition, subtraction, multiplication and division.
The volume of the composite figure is:
Volume = area of base * height
Substituting:
Base area = (14 * 3) + (1/2)(5 + (14-6))(7 - 3) = 68 cm²; height = 6 cm
Volume = area of base * height = 68 cm² * 6 cm = 408 cm³
The volume is 408 cm³
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I WILL GIVE BRAINLIEST!!!
Answers
Step-by-step explanation:
I WILL BRAINLIEST PLS HELP ME I NEED HELP PLS ,
If 2 cm = 5 ft, what is the area of the playground?
Answers
Answer:
Step-by-step explanation:
Ok so
2 cm is 5 feet and there are 24
2 = 5
4 = 10
6 = 15
8 = 20
10 = 25
11 = 30
So for this one there are about . 10 feet at the top and 8 feet for the other
Answer:
The scale of the drawing is
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z-----> the scale drawing
x-----> the area of the playground in the scale drawing
y----> the area of the actual playground
we have
substitute
simplify
or
Divide by 4 both numerator and denominator