Answer: The answer is actually 12 pieces of vanilla cake.
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.
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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Use the figure below to answer the following questions. Each square on the grid measures 1 unit by 1 unit. a. What is the radius of the circle? b. What is the diameter of the circle? c. Estimate the area of the circle using the grid.
a. The radius of circle is 4 units.
b. The diameter of the circle is 2 x 4 = 8 units.
c. The area of the circle to be around 31 to 32 square units.
What is a circle?A circle is a geometrical shape consisting of all points that are at an equal distance from a central point.
The distance from the center to any point on the circle is called the radius of the circle.
a. To find the radius of the circle, we need to measure the distance from the center point N to any point on the circumference of the circle.
Using the grid, we can count the number of squares from N to the edge of the circle.
In this case, we can count 4 squares horizontally and 4 squares vertically.
b. The diameter of the circle is twice the radius. Therefore, the diameter of the circle is 2 x 4 = 8 units.
c. To estimate the area of circle using the grid, we can count the number of complete squares that are either fully inside the circle or partially covered by the circle.
In this case, we can count 31 complete squares. We can also see that there are some squares that are partially covered by the circle, so we can estimate that the total area of the circle is slightly more than 31 square units. Therefore, we can estimate the area of the circle to be around 31 to 32 square units.
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You deposit $300 each month into an account earning 2% interest compounded
monthly.
a) How much will you have in the account in 30 years?
b) How much total money will you put into the account?
c) How much total interest will you earn?
a) The future value of the account after 30 years can be calculated using the formula:
FV = P * ((1 + r/n)^(n*t))
where P is the monthly deposit, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $300, r = 0.02, n = 12 (monthly compounding), and t = 30. Plugging these values into the formula, we get:
FV = $300 * ((1 + 0.02/12)^(12*30)) = $150,505.60
So you will have $150,505.60 in the account after 30 years.
b) The total amount of money you will put into the account is simply the monthly deposit multiplied by the number of months in 30 years, which is 30*12 = 360 months. So the total amount of money you will put into the account is:
$300 * 360 = $108,000
c) The total interest earned can be calculated by subtracting the total amount deposited from the future value of the account. So the total interest earned is:
$150,505.60 - $108,000 = $42,505.60
Answer:
a) you will have approximately $133,381.85 in the account in 30 years.
b) a total of $108,000 into the account over 30 years.
c) a total of $25,381.85 in interest over 30 years.
Step-by-step explanation:
for question 6 is wax and yau are verticle or not
In the given diagram, angle WAX and angle YAU are vertical angles
What are vertically opposite angles?From the question, we are to determine if angles WAX and YAU are vertical angles or not
Vertically opposite angles are pairs of angles that are opposite each other and formed by the intersection of two straight lines.
When two straight lines intersect, they form four angles at the point of intersection. Vertically opposite angles are the angles that are opposite each other, that is, they are located on opposite sides of the intersection point and are formed by the pair of opposite rays.
Vertically opposite angles are congruent, which means that they have the same angle measure. This property holds true for any pair of vertically opposite angles, regardless of the angle size or the orientation of the lines.
Hence, angle WAX and angle YAU are vertical angles
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Based on a survey of 100 households, a newspaper reports that the average number of vehicles per household is 1.8 with a margin of error of ±0.3. The population surveyed is 50,000 households.
How many vehicles are included in the margin of error? Enter your answer in the blank.
Answer:
Step-by-step explanation:
The margin of error is ±0.3. This means that the actual average number of vehicles per household in the population is expected to be between 1.5 (1.8 - 0.3) and 2.1 (1.8 + 0.3).
To calculate the range of the margin of error in terms of the number of vehicles, we can multiply the margin of error by the square root of the sample size (100) to get:
0.3 * sqrt(100) = 3
So the margin of error in terms of the number of vehicles is ±3.
Therefore, the number of vehicles included in the margin of error is between 1.5 * 50,000 = 75,000 and 2.1 * 50,000 = 105,000.
So the range of the margin of error in terms of the number of vehicles is 30,000, and the number of vehicles included in the margin of error is 30,000.
Taylor has a gift box that is 6 inches long,5 inches high,and 3 inches wide.What is the surface area of the gift box in square inches?
the length and width of a rectangular piece of paper were measured as 60cm and 12cm respectively, determine the relative error in the calculation of it's area.
Answer:
Step-by-step explanation:
actual area : 60 x 12 = 720
1/2 = 0.5
60 + 0.5 = 60.5 12 + 0.5 = 12.5 -max area = 60.5 x 12.5 = 756.25
60 - 0.5 = 59.5 12 - 0.5 = 11.5 -min area = 59.5 x 11.5 = 684.25
absolute error : 1/2(756.25-684.25) = 36
relative error : 36/720 = 0.05
... your welcome
A car salesperson sells a used car for $8,800 and earns 9% of the sale price as commission. How many dollars does the salesperson earn in commission?
Answer:
Step-by-step explanation:
8,800x0.09=792. The salesperson earns $792 in commission.
Answer:
$792
Step-by-step explanation:
8800×0.09= 792
9÷100=0.09
commission =$792
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 4 feet and a height of 18 feet. Container B has a radius of 5 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?
The percent of Container B that is empty after the pumping is complete, to the nearest tenth, is [tex]23.2[/tex]%.
What is volume of cylinder?[tex]V = r^2h[/tex] , where r is the radius of the cylinder's base, h is its height, and (pi) is a mathematical constant corresponding roughly to 3.14159, gives the volume of a cylinder.
To solve this problem, we need to calculate the volumes of the two containers and then determine how much of Container B is empty after the water from Container A is transferred to it.
The volume of a cylinder is given by the formula [tex]V = \pi r^2h[/tex] , where r is the radius of the base and h is the height of the cylinder.
Container A has a radius of [tex]4[/tex] feet and a height of 18 feet, so its volume is:
[tex]V(A) = \pi (4^{2} )(18) = 288\pi[/tex] cubic feet
Container B has a radius of 5 feet and a height of 15 feet, so its volume is:
[tex]V(B) = \pi (5)^2(15) = 375\pi[/tex] cubic feet
When the water from Container A is transferred to Container B, the volume of water in Container B will be:
V(water in [tex]B) = V(A) = 288\pi[/tex] cubic feet
The total volume of Container B is 375π cubic feet, so the volume that is empty after the transfer is:
V(empty in [tex]B) = V(B) - V(water in B) = 375\pi - 288\pi = 87\pi[/tex] cubic feet
To find the percentage of Container B that is empty, we need to divide the volume that is empty by the total volume of Container B and then multiply by 100:
Percent empty [tex]= (V(empty in B) / V(B)) \times 100[/tex]
[tex]= (87\pi / 375\pi) \times 100[/tex]
[tex]= 23.2[/tex]%
Therefore, the percent of Container B that is empty after the pumping is complete, to the nearest tenth, is [tex]23.2[/tex]%.
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Please solve quickly will give brainlest if correct!!!!!
The sum expression [tex][2(4 + \frac9n)^4](\frac9n) + ... + [2(4 + \frac{9n}n)^4](\frac9n)[/tex] using the sigma notation is [tex]\sum\limits^{n}_{i=1} [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
Writing the sum using the sigma notationFrom the question, we have the following parameters that can be used in our computation:
[tex][2(4 + \frac9n)^4](\frac9n) + ... + [2(4 + \frac{9n}n)^4](\frac9n)[/tex]
From the above expression, we can see that the different expression in each term is
9/n
So, we introduce a variable
Assuming the variable is i, the i-th term of the expression would be[tex]t(i) = [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
When represented using the sigma notation, we have
[tex]\sum\limits^{n}_{i=1} [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
Hence, the sum expression using the sigma notation is [tex]\sum\limits^{n}_{i=1} [2(4 + \frac{9i}n)^4](\frac9n)[/tex]
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Correct answer gets brainliest!!!!
Answer:
To find the product of matrices AB, we need to multiply the elements of the rows of matrix A with the corresponding elements of the columns of matrix B, and then sum these products.
Since matrix A is a 2x2 matrix and matrix B is a 2x3 matrix, we can perform the multiplication as follows:
AB = | 1 2 | | 1 2 3 | | (1*1)+(2*4) (1*2)+(2*5) (1*3)+(2*6) |
| 3 4 | x | 4 5 6 | = | (3*1)+(4*4) (3*2)+(4*5) (3*3)+(4*6) |
| | | |
| 9 12 15 | | 9 12 15 |
Therefore, the product of matrices AB is a 2x3 matrix, and the answer is C) 2x3.
What is the maximum possible product of two numbers that have a sum of -8?
The maximum possible product of two numbers that have a sum of -8 is 16.
How to find the maximum possible product of two numbers that have a sum of -8Let us name the two numbers "x" and "y".
We are aware of the following: x + y = -8
We're looking for the greatest possible product of x and y.
The number we're looking that are as near together as feasible and have a sum of -8.
-4 and -4 are the two numbers that are as near together as possible and have a sum of -8. As a result, x = -4 and y = -4.
The sum of these two figures is:
x * y = (-4) * (-4) = 16
So, the maximum possible product of two numbers that have a sum of -8 is 16.
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3. Point F(21, -14) is rotated-90° clockwise about the origin. What are the coordinates of F’
Answer: The coordinates of F' are (14, 21).
Step-by-step explanation:
Since we are rotating -90° clockwise about the origin (or 90° counterclockwise), we will apply (x, y) becoming (-y,x). I have also graphed this, see attached.
(21, -14) ➜ (14, 21)
The coordinates of F' are (14, 21).
A study found that 18% of dog owners brush their dogs teeth. Of 639 owners, about how many would he expected to brush their dog’s teeth? Explain
To find the expected number of dog owners who brush their dog's teeth, we can multiply the total number of dog owners (639) by the percentage that brush their dog's teeth (18% or 0.18).
Expected number of dog owners who brush their dog's teeth = 639 x 0.18
= 115.02 (rounded to the nearest whole number)
So, we can expect about 115 dog owners out of 639 to brush their dog's teeth.
The sum of two even numbers is even. The sum of 6 and another number is even. What conjecture can you make about the other number?
A) The other number is odd.
B) The number is even.
C) Not enough information.
D) The number is 8.
Answer:
B) The other number is even.
Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0
Step-by-step explanation:
x = -2 or x = 2
x + 2 = 0 or x - 2 = 0
(x + 2) (x - 2) = 0
x² - 4 = 0
#CMIIWI need help with this please.
1/2 x 3 x 3 = 4.5
I just need help on how 4.5 is the answer.
Answer:
3
Step-by-step explanation:
3 * 3 = 6
1/2 * 6 = 3 not 4.5
Because, when we multiply with 1/2, we are actually dividing the number by 2, and 6/2 = 3.
The 3 x 3 part turns into 9
So we have 1/2 x 9 or 9/2
Use long division to find that 9/2 gives a quotient of 4 and remainder 1
Imagine you had 9 cookies and 2 friends. Each friend would get 4 cookies each, eating 4*2 = 8 cookies overall. Then there's 9-8 = 1 cookie as the remainder.
The "remainder 1" then leads to 1/2 = 0.5
quotient = 4
remainder = 1 ---> decimal portion = 1/2 = 0.5
So that's how we get to 4+0.5 = 4.5
You can use a calculator to see that 9/2 = 4.5
What did Maleuvre write about Gauguin's views on Polynesian women?
According to Jean-Claude Maleuvre's book "Museum Memories: History, Technology, Art," Gauguin's views on Polynesian women were complex and contradictory. On the one hand, he was fascinated by their exotic beauty and saw them as a source of artistic inspiration. On the other hand, he objectified and exoticized them, portraying them as primitive and sexually available. Gauguin's depictions of Polynesian women have been criticized as perpetuating colonialist stereotypes and promoting a Westernized gaze.
Singular Savings Bank received an initial deposit of $3000. It kept a percentage of this money in reserve based on the reserve rate and loaned out the rest. The amount it loaned out was eventually all deposited back into the bank. If this cycle continued indefinitely and eventually the $3000 turned into $50,000, what was the reserve rate? And what are the steps to solve?
Tthe reserve rate was approximately 0.9434, or 94.34%.
How to solve for the reserve rateThis is a geometric series with first term 3000r and common ratio (1-r), so we can use the formula for the sum of a geometric series:
sum = a(1 - r^n) / (1 - r)
where a = 3000r is the first term.
As the cycle continues indefinitely, the amount loaned out eventually becomes the final amount of $50,000. Therefore:
3000r/(1-r) = 50,000
Solving for r, we get:
r = (50,000)/(3000 + 50,000) = 0.9434
Therefore, the reserve rate was approximately 0.9434, or 94.34%.
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Question 1b Match each expression on the left with an equivalent expression on the right. Some answer options on the left side will be used more than once. 132 ÷ 11 28 2 288 126 7)98 sixty-four divided by four Jestion ID: 29430 Clear 1b of 12 48 3 36 ÷ 2 36 ÷ 3 Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your cursor is over the target before releasing.
The equivalent expression for the given expression 132/11 is 12.
1) Given that, 132/11
Here, the equivalent expression is 132/11 =12
2) 126/7 = 18
3) 7)98(14
7
_______
28
28
________
0
4) Sixty-four divided by four
That is, 64/4 = 16
5) 28÷2
= 28/2
= 14
6) 28/2 = 14
7) 48/3 = 16
8) 36÷2
= 36/2
= 18
9) 36÷3
= 36/3
= 12
Therefore, the equivalent expression for the given expression 132/11 is 12.
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the front of a refrigerator with a freezer on the bottom . The freezer part on the bottom has a height of 2 feet. The top part has a height of 5 feet.Explain how you find the total area of the front of the frig
The total area of the front of the figure is 21 [tex]feet^{2}[/tex].
What is the area?
The total space occupied by a flat (2-D) surface or the shape of an object is defined as its area.
To find the total area we need to add the area of the refrigerator and the area of the freezer.
The top part i.e refrigerator has a height of 5 feet and 3 feet width
Area of the refrigerator section = height * width
= 5 * 3
= 15 [tex]feet^{2}[/tex]
The bottom part i.e freezer has a height of 2 feet and 3 feet width
Area of the refrigerator section = height * width
= 2 * 3
= 6 [tex]feet^{2}[/tex]
The total area of the front of the figure is = Area of the refrigerator section + Area of the freezer section
= 15 + 6 = 21[tex]feet^{2}[/tex]
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Brock earned $30.00 for a week's work. If he paid 10% of it in taxes how much did he
pay in taxes?
AM
CM
AM = CM
Which step is missing in the proof?
A. AMDA
B.
AMDA
OC. AMDA
D.
AMDA
CPCTC
definition of congruence
=
~
~
AMCB by ASA
AMBC by ASA
AMBC by SAS
ABMC by SAS
The missing step of the congruent triangles is ΔMDA ≅ ΔMBC by ASA theorem
Given data ,
Let the two triangles be represented as ΔMDA and ΔMBC
Now , the measure of side MD ≅ MB ( given )
And , the measure of angle ∠DMA ≅ ∠BMC ( vertical angles theorem )
Now , the measure of ∠MDA ≅ measure of ∠MBC ( alternate interior angles)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
So , ΔMDA ≅ ΔMBC by ASA theorem
Hence , the congruent triangles are solved
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I need help with the answer to the photo provieded
Answer:
26
Step-by-step explanation:
James takes a 150000 mortgage for 20yrs and makes a monthly payment of 915.00. What percent of the total loan does he pay back?
James pays back approximately 82.33% of the total loan in interest over the 20-year period.
To calculate the percentage of the total loan that James pays back in interest, we need to determine how much of the monthly payments go towards interest and how much goes towards paying down the principal.
Using a loan calculator or a formula, we can determine that the monthly interest rate for James' loan is approximately
= 4.25% / 12
= 0.35% (4.25% annual rate divided by 12 months).
The monthly payment of $915.00 is comprised of both principal and interest.
In the first month, the interest portion of the payment would be $531.25 and the remaining $383.75 would go towards the principal. As the loan is paid down over time, the interest portion of each payment decreases while the principal portion increases.
To calculate the total interest paid over the life of the loan, we can multiply the monthly interest by the number of months
20 years x 12 months/year = 240 months
and subtract the original principal amount of $150,000. This gives us a total interest paid of approximately $123,500.
To find the percentage of the total loan that this represents, we can divide the total interest paid by the original principal and multiply by 100:
$123,500 ÷ $150,000 x 100 ≈ 82.33%
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Find the work done in pushing a car along a level road from point A to point B, 79 feet from A, while exerting a constant force of 103 pounds. Round to the nearest foot-pound.
The work done is
foot-pounds
The work done in pushing the car along the level road from point A is found to be 8147 foot-pounds.
The work done in pushing a car along a level road can be calculated using the formula,
work = force × distance × cos(angle) where the angle between the force and the direction of motion is 0 degrees (since the force is parallel to the level road). The force is given as 103 pounds, and the distance is 79 feet. Therefore,
work = 103 × 79 × cos(0) = 8147 foot-pounds
Rounding to the nearest foot-pound, the work done in pushing the car from point A to point B is 8147 foot-pounds.
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Let v = 2i - 3j Find ||2v||
For the given vector v = 2i - 3j, the value of the vector magnitude ||2v|| is 2√13.
To find the norm, or magnitude, of a vector, we use the Pythagorean theorem in the following way:
||v|| = √(v₁² + v₂² + ... + vn²)
In this case, we have v = 2i - 3j, so:
||v|| = √((2)² + (-3)²)
= √(4 + 9)
= √13
So the norm of the vector v is √13.
To find ||2v||, we simply double the vector and then find its norm:
2v = 2(2i - 3j)
= 4i - 6j
||2v|| = √((4)² + (-6)²)
= √(16 + 36)
= √52
= 2√13
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a shape has 3 sides. the bottom edge is 5 inches and the hight is 1 foot. what is the surface area
Answer:
Step-by-step explanation:
Some varsity soccer players are paired with a junior varsity (JV) player for training purposes: 2/3 of the varsity are partnered with 3/5 of the JV. What fraction of the players are partnered for training?
Let's say there are $v$ varsity players and $j$ JV players.
The problem tells us that 2/3 of the varsity players are partnered with 3/5 of the JV players. So the number of varsity players partnered with a JV player is:
$\sf\implies\:(2/3)v$
And the number of JV players partnered with a varsity player is:
$\sf\implies\:(3/5)j$
Since these two numbers represent the same group of paired players, they must be equal:
$\sf\implies\:(2/3)v = (3/5)j$
To find the fraction of players who are partnered, we can divide the total number of paired players by the total number of players:
$\implies\:\frac{(2/3)v}{v} = \frac{2}{3}$ of the varsity players are paired
$\implies\:{\sf{\frac{(3/5)j}{j}} = \frac{3}{5}}$ of the JV players are paired
So the total fraction of players who are paired is:
$\sf\implies\:\frac{2}{3} + \frac{3}{5} - \frac{2}{15}$ (since some players will be counted in both fractions)
Simplifying:
$\sf\implies\:\frac{10}{15} + \frac{9}{15} - \frac{2}{15} = \frac{17}{15}$
Therefore, the fraction of players who are partnered for training is $\frac{17}{15}$, which is greater than 1. This means that the problem may have been set up incorrectly, or there may be additional information missing.
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[tex]\begin{align}\colorbox{black}{\textcolor{white}{\underline{\underline{\sf{Please\: mark\: as\: brillinest !}}}}}\end{align}[/tex]
[tex]\textcolor{lime}{\small\textit{If you have any further questions, feel free to ask!}}[/tex]
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- Let x, y € Z. How many distinct y exists satisfying the equation x²-8x+18+|y-3|=5?
Both parabolic equations yield distinct y values for any x in the set of integers (Z). Thus, there are two distinct y values satisfying the given equation.
How to solveThere are two distinct y values satisfying the given equation.
First, we rewrite the equation as |y-3| = 5 - x² + 8x - 18. Then, we express |y-3| as two cases: y-3 and -(y-3).
Case 1: y - 3 = 5 - x² + 8x - 18
Solving for y, we get y = x² - 8x + 16.
Case 2: -(y - 3) = 5 - x² + 8x - 18
Solving for y, we get y = x² - 8x + 10.
Both parabolic equations yield distinct y values for any x in the set of integers (Z). Thus, there are two distinct y values satisfying the given equation.
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