Answer:
0.102542
Step-by-step explanation:
Given that 9% of customers do not provide a reason, 29% say the item did not fit, 13% find a flaw with the item, and 4% changed their mind about the purchase.
So, the total percentage of items returned due to no reason, unfit, flaw, and due to changing mind
=9%+29%+13%+4%=55%
As the remaining customers returned gifts purchased for them, so, the percentage of customers who returned gifts =100-55=45%.
So, the fraction of customers who returned gifts=45/100=0.45.
Now, observe that if 1 item returned, there is a chance of 0.45 that the item is a gift.
Moreover, there are only two possibilities for any idem, i.e the idem was a gift or not a gift, so the number of total returned items can be considered a Bernoulli's population.
Let p be the probability of a returned item which is the same for all the returned items,
p=0.45
So, according to Bernoulli's theorem, the probability that out of n=40 returns on a given day, r=20 are gifts is
[tex]\binom{n}{r}p^r(1-p)^{n-r}=\binom{40}{20}(0.45)^{20}(1-0.45)^{40-20}[/tex]
[tex]=0.102542[/tex]
Hence, the probability that 20 returned items are gifts among the total 40 returned items is 0.102542.
Slove
.........................................................................
Answer:
2/9
Step-by-step explanation:
hope this helps!
Answer:
The answer is 2/9
Step-by-step explanation:
A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. A 2-column table with 6 rows. The first column is labeled month with entries 1, 2, 3, 4, 5, 6. The second column is labeled number of births with entries 137, 110, 93, 70, 65, 77. Find a quadratic function that models the data. Round numerical values to the nearest whole number. F(x) = x2 x Use the function to predict the number of births for month 8. There will be about births.
The hospital uses the quadratic model to predict the number of births
The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90
How to determine the quadratic modelTo determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary
a = 4.339 b = -43.461 c = 178.3A quadratic model is represented as:
[tex]y= ax^2 + bx + c[/tex]
So, we have:
[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]
Approximate
[tex]y = 4 x^2 -43 x +178[/tex]
Rewrite as:
[tex]f(x) = 4 x^2 -43 x +178[/tex]
At the 8th month, we have x = 8.
So, the function becomes
[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]
[tex]f(8) = 90[/tex]
Hence, the number of births for month 8 is 90
Read more about quadratic models at:
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Answer:
4
-43
178
90
Step-by-step explanation:
yep
The amount of money invested in a retirement fund is an example of which of the following?
a.
investment asset
b.
liquid asset
c.
long term asset
d.
use asset
Answer:
long tern asset
Step-by-step explanation:
The midpoint of AB is M(4,4). If the coordinates of A are (2, 1), what are the
coordinates of B?
Answer:
(6, 7)
Step-by-step explanation:
Hope this helps.
The midpoint of the line segment AB is M. Then the coordinate of the point B will be (6, 7).
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The midpoint of AB is M(4,4). If the coordinates of A are (2, 1). Then the coordinate of the point B will be given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
(4, 4) = [(2 + x₂) / 2, (1 + y₂) / 2]
Compare the abscissa, then we have
(2 + x₂) / 2 = 4
(2 + x₂) = 8
x₂ = 8 - 2
x₂ = 6
Compare the ordinate, then we have
(1 + y₂) / 2 = 4
1 + y₂ = 8
y₂ = 8 - 1
y₂ = 7
The midpoint of the line segment AB is M. Then the coordinate of the point B will be (6, 7).
More about the mid-point of the line segment link is given below.
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Can somone help me:)
Answer:
$6
Step-by-step explanation:
What do you notice about the number of factors of 42 and the number of arrays Brad can make with the stamps?
Answer: Factors of 42: 1, 2, 3, 6, 7, 14, 21 and 42. I don’t know the second
Step-by-step explanation:
Plz help!!!
Solve 6 (u - 4) - 8 = -6 (-4u + 6) -2u
Combine like-terms before solving
someone please help me with this
Answer:
50° is the correct answer
Step-by-step explanation:
Right Triangles
The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.
We have a right triangle with the following characteristics:
The hypotenuse is 13 units long
The indicated angle is opposite to the leg of 10 units long.
When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:
[tex]\displaystyle \sin\theta=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin\theta=\frac{10}{13}[/tex]
Using a calculator set in mode degrees, the angle is:
[tex]\theta=\sin^{-1}\frac{10}{13}[/tex]
[tex]\theta\approx 50.3^\circ[/tex]
First choice: 52° is not correct because is not a good approximation to 50.3°
Second choice:38° is not correct because is not a good approximation to 50.3°
Third choice: 50° is a good approximation to 50.3°. Correct Answer
Fourth choice: 40° is not correct because is not a good approximation to 50.3°
The Nike factory has just finished up a new order of Air Jordan XIII sneakers to be released soon. They just produced 5,814 new pairs of the sneakers. If the company wants to evenly distribute the sneakers evenly among their 17 warehouses, how many pairs of the Air Jordan sneakers will each warehouse receive?
Answer:
342 pairs
Step-by-step explanation:
Given that,
New pair of sneakers produced by the Nike factory = 5,814
The company wants to distribute the sneakers evenly among their 17 warehouses.
We need to find the no of pairs of the Air Jordan sneakers will each warehouse receives. It can be calculated as follows :
[tex]n=\dfrac{\text{total pair of sneakers}}{\text{no of warehouses}}\\\\n=\dfrac{5814}{17}\\\\n=342[/tex]
It would mean that each warehouse will receive 342 pair of sneakers.
Colton is driving on a long road trip. he currently has 11 gallons of gas in his car. each hour that he drives, his car uses up 1.25 gallons of gas. how much gas would be in the tank after driving for 6 hours? how much gas would be left after tt hours?
Answer:
Gas left after 6 hours: 3.5
Gas left after t hours: 11-1.25t
Watch help video Given f(x) - 2x^3 + kx - 4 and the remainder when f(x) is divided by x + 2 is -18. then what is the value of k
Answer:
The function is
The remainder when f(x) is divided by x−2 is 23
To find:
The value of k.
Solution:
According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).
It is given that, the remainder when f(x) is divided by x−2 is 23. By using the remainder or theorem, we get
Put x=2, to find the value of f(2)
Using (i) and (ii), we get
Therefore, the value of k is 8.
Step-by-step explanation:
hope this helps
f(x) - 2x³ + kx - 4 and the remainder when f(x) is divided by x + 2 is -18. then k is 15.
What is Remainder theorem?The remainder theorem states that when a polynomial p(x) is divided by (x - a), then the remainder = f(a)
f(x)=2x³ + kx - 4
x+2=0
x=-2
By the remainder theorem, the remainder when dividing by x-a is f(a)
f(-2)=2(-2)³+k(-2)-4
=-2(-8)-2k-4
=16-2k-4
The remainder is -18.
So, 16-2k-4=-18
12-2k=-18
-2k=-18-12
-2k=-30
k=15
Hence the value of k is 15.
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Kevin wrote a total of 12 pages over 3 hours. How many hours will Kevin have to spend writing this week in order to have written a total of 20 pages? Assume the relationship is directly proportional.
Answer:
It will take him 5 hrs to write a 20-page essay because he can write 4 pages in 1 hour.
Hope this helps!
Answer:
5 hours
Step-by-step explanation:
For 12 pages, he spent 3 hours. So it takes him 1 hour to write 4 pages. (12 ÷ 3 = 4) If for each 4 pages 1 hour is spent respectively, then for 20 pages: 20 ÷ 4 = 5 hours will be spent.
What is the equation of this graphed line?
Enter your answer in slope-intercept form (y = mx + b) in the
box
Answer:
[tex]y = - \frac{9}{8} x + 7[/tex]
Step-by-step explanation:
[tex]m = \frac{ - 2 - 7}{8 - 0} = \frac{ - 9}{8} [/tex]
Since this line passes through (0,7), then this point satisfies the equation of the line;
[tex]y = \frac{ - 9}{8} x + b[/tex]
[tex]7 = \frac{ - 9}{8} (0) + b[/tex]
[tex]7 = b[/tex]
[tex]b = 7[/tex]
Hey there!
We are given 2 points that the line passes through, so we can easily determine the slope of the line:
[tex]\bold{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\bold{\displaystyle\frac{-2-7}{8-0}=\frac{-9}{8} }[/tex]
So now we have the slope.
However, we also need to find the y-intercept (we are actually given the y-intercept, (0,7) or just 7)
Hence, the equation is
[tex]\boxed{\boxed{\bold{y=-\frac{9}{8} x+7}}}[/tex]
Hope everything is clear.
Let me know if you have any questions; if you do, please comment.
#LearningDoesn'tEnd
Find the value of x for which p || q. Question options:
Answer:
The question is not clear. please write the complete question
can i get some help on this please
Answer:
1
Step-by-step explanation:
C = (9,2) & D = (-7,-9)
x₁ = 9 x₂ = -7
∴
[tex]\frac{9+(-7)}{2}[/tex] = 1
write an expression to represent: six less than the product of four and a number x.
Answer:
6-(4*x) This is your answer, because less than is also another word for subtraction.
simplify 5(2x-4)-3(x+6) /15
Answer:
Your answer is: 7x-38/15
Step-by-step explanation:
Hope this helped : )
base: h=10cm, b=12cm
face 1: l=11cm, w=15.6cm
face 2: l=11cm, w=12cm
face 3: l=10cm, w=11cm
Enter numerical value only.
SA = _____ cm2
The surface area of the triangular prism is 533.6 cm².
Surface area of a triangular prismSA = bh + (x + y + z)lwhere
b and h are the base and height of the triangular base. Therefore,
b = 12 cmh = 10 cmTherefore,
x = 12 cm
y = 10 cm
z = 15.6 cm
l = 11 cm
Therefore,
SA = 12 × 10 + (12 + 10 + 15.6)11
SA = 120 + (22 + 15.6)11
SA = 120 + (37.6)11
SA = 120 + 413.6
SA = 533.6 cm²
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Find the discounted price, to the nearest cent, for a portable CD player that sells for $59.95 and is on sale for 30% off.
Answer:
$ 41.97
Step-by-step explanation:
59.95x30%=17.98
59.95-17.98=41.97
How to do dis?????????
Answer:
-1
Step-by-step explanation:
f(x) =3x-7
x=2
f(x)=3×2-7
f(x)=6-7
f(x)=-1
A ferris wheel can accommodate 70 people in 20 minutes. How many people could ride the ferris wheel in 5 hours? What was that rate per hour?
Answer:
210 is the rate per hour and 1,050 people in 5 hours
Step-by-step explanation:
Answer:
Step-by-step explanation:
You need to get answer to people per hour first. 70 people could ride the ferris wheel in 20 minutes. 20 minutes is 1/3 of 60 minutes, which is an hour. So you multiply both the time and the amount of people by 3. 70 times 3 is 210. This is the amount of people that could ride the ferris wheel in 1 hour. Then, we need to multiply this number by 5, because we need the amount of people that could ride the ferris wheel in 5 hours, not 1 hour. So 210 times 5 is 1,050. 1,050 people could ride the ferris wheel in 5 hours.
Next, we need to find the rate per hour. You already have the answer to that though. It is the amount of people that could ride the ferris wheel, so your previous number: 210. Your rate would be 210 people per hour could ride the ferris wheel.
You're welcome, stranger :)
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
Answer:
Conjecture
Disjunction
Counterexample
Conjunction
Inductive reasoning
Conditional
Step-by-step explanation:
I used Quizlet and I knew most of them.
What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 27. Fully simplify your answer.
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]12x-9y = 27\implies -9y=-12x+27\implies y=\cfrac{-12x+27}{-9} \\\\\\ y=\cfrac{-12x}{-9}+\cfrac{27}{-9}\implies y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{4}{3}}x-3\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{4}{3}} ~\hfill \stackrel{reciprocal}{\cfrac{3}{4}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{3}{4}}}[/tex]
Multiple
c(2/3a +1/4b)
Answer:
8bc/12ab + 3ac/12ab
Step by step explanation:
c×(2/3a +1/4b)
c× (8b/12ab + 3a/12ab)
8bc/12ab + 3ac/12ab
Sierra was charged $576 in interest for borrowing $4,800 for 2 years. What was the interest rate?
Answer:
My best guess would 16.6
I hope that helped! :)
-6x +7 = -6x + 7 is a no solution or one solution or infinitely many solutions?
Answer:
IM because they are the same!!
YOUR WELCOME
Step-by-step explanation:
The ratio of boys to girls in our class is 4 to 5. If
there are 8 girls, then how many total students are
in the class?
Answer:
6.4/6
Step-by-step explanation:
Since
4 : 5 = X : 8
Then we know
4/5 = X/8
Multiplying both sides by 8 cancels on the right
8 × (4/5) = (X/8) × 8
8 × (4/5) = X
Then solving for X
X = 8 × (4/5)
X = 6.4
Therefore
4 : 5 = 6.4 : 8
) Mr. Rivera is making a healthy dessert for his nephew who has diabetes. He wants
to choose the recipe with the least amount of sugar per serving. Apple crisp has
8 servings and contains 80 grams of sugar. Greek frozen yogurt has 12 servings
and contains 60 grams of sugar.
- How much sugar per serving does each dessert have? Complete the
Answer:
see below
Step-by-step explanation:
Apple crisp has
8 servings and contains 80 grams of sugar.
80 grams / 8 servings = 10 grams per serving
Greek frozen yogurt has
12 servings and contains 60 grams of sugar.
60 grams / 12 serving = 5 grams per serving
He should make Greek frozen yogurt
Answer:
He should make Greek frozen yogurt!
Step-by-step explanation:
Apple crisp has
8 servings and contains 80 grams of sugar.
80 grams / 8 servings = 10 grams per serving
Greek frozen yogurt has
12 servings and contains 60 grams of sugar.
60 grams / 12 serving = 5 grams per serving
He should make Greek frozen yogurt
the grand river is about 280km long. what is the length of this river on a map with scale of 1cm: 25km?
scale 1 cm............25 km
n cm...........280 km
25 x n = 1 x 280
n = 280 : 25
n = 112 cm on the map
HELP WITH ALGEBRA 2
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides
Answer:
algebra
Step-by-step explanation:
bra