Hello, I am taking Quantitative methods for business, which has a lot of excel based mathematics and I was wondering if anyone could help. Here is the question:
Refer to the table that illustrates customer’s complaints about a manufacturing company.
A. What is the probability a customer complained during the guarantee period?
B. What is the probability that a customer complained about an electrical problem or a mechanical problem?
Table is included in attachment. Also Thank you!!!
Answers
The probability that a customer complained during the guaranteed period is given by the number of costumers that complained during the guarantee period devided by the total number of students.
Therefore, the probability that a customer complained during the guaranteed period is [tex] \frac{1,890}{3,000} = \frac{63}{100} [/tex]
Part B:
The probability that a customer complained about an electrical problem or a mechanical problem is given by the sum of the probability that the customer complained about an electrical problem or the probability that the customer complained about a mechanical problem.
Therefore, the probability that a customer complained about an electrical problem or a mechanical problem is [tex] \frac{900}{3,000} + \frac{1,050}{3,000} = \frac{1,950}{3,000} = \frac{13}{20} [/tex]
Related Questions
What is the average rate of change of f(x), represented by the graph, over the interval [0,2]?
A: 2
B: 1
C: 0.5
D: -0.5
Answers
Which is the same as dividing a number by 1,000?
Answers
Answer:
yoou move the decimal place 3 times to the left
Step-by-step explanation:
Answer:
Move 3 times to the left
Step-by-step explanation:
In how many ways can you arrange 3 out of 5 books (a, b, c, d, and
e.on a shelf, if the order of each arrangement matters (so abc is different from cba)?
Answers
There are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering. So option (c) is correct.
To calculate the number of ways to arrange 3 out of 5 books with order mattering, we'll use the permutation formula [tex]\( P(n, k) = \frac{{n!}}{{(n-k)!}} \)[/tex], where ( n ) is the total number of items and ( k ) is the number of items to arrange.
In this case, we have ( n = 5 ) books and we want to arrange ( k = 3 ) of
them. So, [tex]\( P(5, 3) = \frac{{5!}}{{(5-3)!}} \)[/tex].
Let's break down the calculation step by step:
Calculate ( 5! ):
[tex]\( 5! = 5 \times 4 \times 3 \times 2 \times 1 = 120 \).[/tex]
Calculate [tex]\( (5-3)! = 2! \)[/tex]:
[tex]\( (5-3)! = 2! = 2 \times 1 = 2 \).[/tex]
Divide [tex]\( 5! \) by \( (5-3)! \)[/tex]:
[tex]\( \frac{{5!}}{{(5-3)!}} = \frac{{120}}{{2}} = 60 \).[/tex]
So, there are 60 different ways to arrange 3 out of 5 books on a shelf with the order mattering.
The correct answer is: c. 60
Complete Question:
In how many ways can you arrange 3 out of 5 books (A, B, C, D, and E) on a shelf, if the order of each arrangement matters (so ABC is different from CBA)?
a. 5
b. 120
c. 60
d. 10
distributive property of the product of 127 and 32
Answers
That comes out to 3900 + 260 - 90 - 6. Combine the positive terms. Then combine the negative terms. Last, combine the single positive term with the single negative one: 4160 - 96 = ?
the numbers on the football field indicate 10 yards increments. you walk around the perimeter of the football field between the pylons. you walk a distance of 306 2/3. find the perimeter of one end zone
Answers
Answer:
Perimeter of one end zone = 126.66 yards.
Step-by-step explanation:
Perimeter of the football field between the pylons = Perimeter of ABCD in the figure = [tex]306\frac{2}{3}[/tex]
Now in figure we can see, If we remove the length of line segment AB and CD, we will left with sides of end zones AD and BC.
AD + BC = 306.67 - 200 ( each increment by 10 , therefore 10 x 10 + 10 x 10 = 200) = 106.67 yards
In figure, we can see AD = PQ = BC = half of 106.67 yards
So, PQ + AD = 106.67
Now, For one end zone which is of triangular shape, Perimeter = PQ + AD + AP + QD = 106.67 + 10 + 10 = 126.67 yards
Note:- In figure, we can see AP = QD = 10 (∵ increment by 10 yards)
Thus, the perimeter of one end zone is 126.67 yards.
The perimeter of one end zone is 126.67 yards.
To calculate this, we first need to know the total perimeter of the football field. The numbers on the field indicate 10-yard increments, so we can count 10 yards between each pair of pylons. There are 10 pairs of pylons on the field, so the total perimeter of the field is 10 * 10 = 100 yards.
The football field is 120 yards long, including the end zones. This means that each end zone is 10 yards long. Therefore, the perimeter of one end zone is 2 * 10 = 20 yards.
However, the end zones are not straight lines. They are curved, with a radius of 10 yards. This means that the perimeter of one end zone is not just 20 yards. We need to use the formula for the circumference of a circle to find the perimeter of the curved part of the end zone.
The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.
Plugging in the values for the radius of the end zone, we get C = 2π(10) ≈ 62.83 yards.
Therefore, the perimeter of one end zone is 20 + 62.83 = 82.83 yards.
52 companies; 25% increase
Answers
it increased to 65 companies.
I think thats wat u meant... if not then sry
A person who is 5.8 feet tall is standing in a pool. the top of the person's head is 1.6 feet above the surface of the water. how deep is the pool? write your answer as a decimal.
Answers
h feet of the person will be in the pool, and 1.6 feet of the person is above the water. Because the person is 5.8 feet tall, therefore
h + 1.6 = 5.8
h = 5.8 - 1.6 = 4.2 feet
Answer: 4.2 feet
Answer:
The answer is 4.2 feet
Step-by-step explanation:
Darcy plants some flowers in her back yard. She plants 5 zinnias and 7 verbenas in each of her 3 flower beds. What is the total number of flowers she planted?
Answers
Write the phrase “all real numbers that are greater than −4 and less than or equal to 7” as a compound inequality.
Answers
Answer:
-4< X ≥ 7
Step-by-step explanation:
The sign of < indicates greater than, so that would express numbers greater than -4 and the sign ≥means smaller or less valuable or equal to, so with that you represent equal or less than 7, with that expression you can represent all the real numbers that are greater than -4 and less or equal to 7.
"given a population in which the probability of success is p = 0.20, if a sample of 500 items is taken, then calculate the probability the proportion of successes in the sample will be between 0.18 and 0.23 if the sample size is 200."
Answers
To find the probability that the proportion of successes in a sample is between 0.18 and 0.23, we approximate the binomial distribution with a normal distribution and calculate the z-scores for the specified values using the distribution N(0.2, sqrt((0.2)(0.8)/200)).
Explanation:To calculate the probability of the proportion of successes being between 0.18 and 0.23 for a population with a success probability of p = 0.20 and a sample size of n = 200, we use the sampling distribution of the sample proportion.
Firstly, to ensure the use of the normal approximation, we check the conditions: np = 40 and nq = 160, both greater than 5, allowing us to approximate the binomial distribution with a normal distribution where μ = p and σ = sqrt(pq/n).
For n = 200 and p = 0.20, the sampling distribution of the sample proportion p' is approximately N(0.2, sqrt((0.2)(0.8)/200)). Using this distribution, we can calculate the z-scores for 0.18 and 0.23 and then use standard normal distribution tables or software to find the probability that p' falls between these two values.
Learn more about Sampling Distribution here:https://brainly.com/question/39609355
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You toss a coin a randomly selecte a number from 0 to 9. What is the probability of getting tails and selecting a 9?
A.0.05
B.0.95
C.0.25
D.0
Answers
Now, lets find the probability of selecting a 9. Since this includes 0, there are 10 possible outcomes and 1 way to get a 9, so the probability is 1/10.
To find them combined, multiply:
1/2 * 1/10
1/20
0.05
Hope this helps!
Gwen has a £5 note and a £2 coin
A liter of cola costs £1.25
Gwen buys as many liter bottles as she can
How much money will she have left over
Answers
7/1.25=5.6
1.25*5=6.25
7-6.25=.75
$0.75 is your answer.
She will have £0.75 left over after the purchases.
First, we calculate the total amount of money Gwen has:
£5 (note) + £2 (coin) = £7
Next, we determine how many liter bottles of cola Gwen can buy:
Each bottle costs £1.25
Number of bottles she can buy = £7 ÷ £1.25
= 5 bottles
Now, we compute the total cost of 5 bottles:
5 bottles × £1.25/bottle
= £6.25
Finally, we find out how much money Gwen will have left over:
Total money - Total cost = £7 - £6.25
= £0.75
Gwen will have £0.75 left over after buying as many liter bottles of cola as she can.
a patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. how much medicine is to be taken in each dose?
Answers
Follow below steps:
A patient is to take 4 1/4 tablespoons of medicine per day in 5 equally divided doses. How much medicine is to be taken in each dose?
Convert 4 1/4 tablespoons to a proper fraction, which is 17/4 tablespoons.
Divide 17/4 by 5 to find out how much medicine is to be taken in each dose. This equals 17/4 ÷ 5 = 17/4 × 1/5 = 17/20 tablespoons.
if R and S are two points in a plane, the perpendicular bisector of line RS is the set of all points equidistant from R and S. True or false?
Answers
Answer: True
Step-by-step explanation:
when robert was born,he weighed 8 pounds. how many ounces did he weigh?
Answers
8*16=128
The answer would be 128 ounces
16 ounces in 1 pound soooo........... 16 x 8
hope this helps please give brainliest
Josh rented a truck for one day. There was a base fee of$14.99,and there was an additional charge of81cent for each mile driven. Josh had to pay$117.05 when he returned the truck. For how many miles did he drive the truck
Answers
- $ 14.99
-------------
$102.46 left
Divide 102.46 by 0.81, and you get 126, which makes it 126 miles.
Hope this helps!
Find the measure of angle y. Round your answer to the nearest hundreth.
Answers
Why do computer manufacturers typically make their new processors backward compatible with earlier processors?
Answers
Backward compatible typically means that the new invention would be compatible with previous inventions. So in this case, the new processor is compatible with the older processors. This is intended so that programs made for older processors can be used on the new one without the need for further modification.
Four students are playing the same video game. Their scores for the first three level are added together to see if the student has enough points to move on to round 2
Answers
This question is a high school-level mathematics problem involving statistics and data interpretation related to video game scores and soccer game performance.
Explanation:The question involves analyzing and interpreting different sets of data related to video game scores, hours played, and goals scored in soccer games. This requires an understanding of statistics and mathematical data interpretation techniques. Problems similar to these are often encountered in high school mathematics classes, especially those focusing on statistics and probability.
For example, when dealing with video game scores, a student may need to sumup numbers, compare totals, or calculate averages. In the case of the hours of video games played, one may need to aggregate data and analyze distributions. With soccer goals per game, the student might have to compute means and assess performance across different groups. Furthermore, the mention of a 'communist model' of grading ties into mathematical concepts of averaging and distribution of data.
These types of problems help students appreciate the practical applications of mathematics in understanding and interpreting real-world scenarios such as video game scoring systems and sports team performance analysis.
the highest temperature in Denver is -23.7 on February 7. the highest temperature the next day was 5 warmer. what was the next day high temoerature
Answers
The temperature will be considered as 'warmer' as the temperature increased and will be considered as 'colder' if the temperature decreased.
So, if the temperature for the next day is 5 degrees warmer, then it must be:
-23.7 + 5 = -18.7 Degree
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. are the given families of curves orthogonal trajectories of each other? that is, is every curve in one family orthogonal to every curve in the other family? x2 + y2 = ax x2 + y2 = by
Answers
[tex]P(x,y)=x^2+y^2-ax=0\\\\ \dfrac{\partial{P}}{\partial{x}}=2x-a\\\\ \dfrac{\partial{P}}{\partial{y}}=2y\\\\ Q(x,y)=x^2+y^2-by=0\\\\ \dfrac{\partial{Q}}{\partial{x}}=2x\\\\ \dfrac{\partial{Q}}{\partial{y}}=2y-b\\\\ \dfrac{\partial{P}}{\partial{x}}*\dfrac{\partial{Q}}{\partial{x}}+\dfrac{\partial{P}}{\partial{y}}*\dfrac{\partial{Q}}{\partial{y}}=(2x-a)*2x+2y(2y-b)\\ =4x^2+4y^2-2ax-2by\\ =2(2x^2+2y^2-ax-by)\\ =2*P(x,y)+Q(x,y))\\ =2*(0+0)=0\\\\ Answer YES [/tex]
Yes, the given curves are orthogonal. A further explanation is below.
Given equation is:
[tex]x^2+y^2=ax[/tex]By differentiating both sides, we get
→ [tex]2x+2yy'=a[/tex]
→ [tex]y'=\frac{a-2x}{2y} = m_1[/tex]
again,
[tex]x^2+y^2=by[/tex]By differentiating both sides, we get
→ [tex]2x+2yy' =by'[/tex]
→ [tex]y' = \frac{-2x}{2y-b}[/tex]
For both curves are orthogonal, we get
→ [tex]m_1 \ m_2 = -1[/tex]
By substituting the values, we get
→ [tex]\frac{(a-2x)}{2y} \ \frac{(-2x)}{2y-b} = -1[/tex]
→ [tex]-2ax +4x^2=-4y^2+2yb[/tex]
→ [tex]4(x^2+y^2)=2ax+2yb[/tex]
Since,
[tex]ax=x^2+y^2[/tex][tex]by=x^2+y^2[/tex]then,
→ [tex]4(x^2+y^2) =2(x^2+y^2)+2(x^2+y^2)[/tex]
→ [tex]4x^2+4y^2=4x^2+4y^2[/tex] (true)
Thus the above response is appropriate.
Learn more about orthogonal here:
https://brainly.com/question/20308962
Jesse and three friends buy snacks for a hike. They buy trail mix for $5.42, apples for $2.55, and granola bars for $3.39. If the four friends split the cost of the snacks equally, how much should each friend pay?
Answers
Add $5.42, $2.55, and $3.39 together then divide by 4 (how many people in total there are) and you will get $2.84
Answer:
$2.84 is your answer
Catherine walks her dog 3/4 mile everyday how far does she walk each week
Answers
3/4 x 7 = 21/28
Catherine alks her dog 21/28 in a week.
I hope this helped!
need this solved (3x+2y)(5x-6y)
Answers
A variable times itself gets you a square.
then just multiply the numbers.
What is the image of E for a dilation with center (0, 0) and a scale factor of 6?
(30, 6)
(-30, 6)
(30, -1)
(-30, 1)
Answers
Answer:
-30, 6
Step-by-step explanation:
6x-5= =30
1x6=6
What are the steps for using a compass and straightedge to construct a square ?
Answers
1. Using your straightedge, draw a reference line, if one is not provided.
2. Copy the side of the square onto the reference line, starting at a point labeled A'.
3. Construct a perpendicular at point B' to the line through .
4. Place your compass point at B', and copy the side of the square onto the perpendicular . Label the end of the segment copy as point C.
5. With your compass still set at a span representing AB, place the compass point at C and swing an arc to the left.
6. Holding this same span, place the compass point at A' and swing an arc intersecting with the previous arc. Label the point of intersection as D.
7. Connect points A' to D, D to C, and C to B' to form a square.
Hope this Helps
A student got 34 pencils for school. If she sharpen 16 of the pencils before school what is her ratio of unsharpened pencils to sharpened pencils
Answers
34-16 = 18
so 18 are unsharpened
ratio is 18/16 reduced to 9/8
so the ratio of unsharpened pencils to sharpened pencils is :
18:16 which reduces to 9:8 or 9/8 or 9 to 8 <==
the area of a square is 225 square inches. find the length of a side of the square.
Answers
Let x represent the length.
x^2 = 225
You would have to square root both sides.
x = 15
The length is 15 inches.
what is the value of the 9 in 0.792
Answers
A Midwestern competition awarded 38 ribbons. The number of blue ribbons was 1 less than the number of white ribbons. The number of red ribbons was 3 more than the number of white ribbons. How many of each kind of ribbons was awrded?
Answers
38=(w-1)+(w+3)+w
combine like terms
38=2+3w
subtract 2 from both sides
36=3w
divide 3 on both sides
12=w
w-1=b
12-1=b
11=b
w+3=r
12+3=r
15=r
Check Your Work
w+r+b=38
15+11+12=38
38=38