The expected daily sales for your online store are approximately $1196.28.
To calculate the expected daily sales, we need to multiply the number of customers by the probability of each customer purchasing an item and then sum up the expected sales for each type of item.
Given:
- Number of customers: 177
- Probability of a customer purchasing an item: 0.29
- Probability of buying the regular item: 0.09
- Probability of buying the deluxe item: 1 - 0.09 = 0.91
- Price of the regular item: $5.08
- Price of the deluxe item: $23.34
Let's calculate the expected daily sales:
Expected sales of regular items = Number of customers * Probability of purchasing * Probability of buying the regular item * Price of the regular item
Expected sales of deluxe items = Number of customers * Probability of purchasing * Probability of buying the deluxe item * Price of the deluxe item
Expected daily sales = Expected sales of regular items + Expected sales of deluxe items
Expected sales of regular items = 177 * 0.29 * 0.09 * $5.08 ≈ $85.74
Expected sales of deluxe items = 177 * 0.29 * 0.91 * $23.34 ≈ $1110.54
Expected daily sales = $85.74 + $1110.54 ≈ $1196.28
Therefore, the expected daily sales for your online store are approximately $1196.28.
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What is an interest group in AP Gov?
Interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
What are interests groups?Higher Placement The College Board's Advanced Placement Program makes a college-level course and exam in United States Government and Politics available to high school students.
By organizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues, interest groups enable citizen participation in governance.
a group of individuals united by a shared interest or objective and working to sway public policy. group leaders. As adolescents gain knowledge, they frequently form their own groups. government.
Therefore, interest groups facilitate citizen participation in governance by mobilizing people to take collective action through voting, fundraising, and informing the public and elected officials about their issues.
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figure A is a scale copy of figure B
The value of x is 42.
To determine the value of x, we need to analyze the given information regarding the scale factor between Figure A and Figure B.
The scale factor is expressed as the ratio of the corresponding side lengths or dimensions of the two figures.
Let's assume that the length of a side in Figure B is represented by 'x'. According to the given information, Figure A is a scale copy of Figure B with a scale factor of 2/7. This means that the corresponding side length in Figure A is 2/7 times the length of the corresponding side in Figure B.
Applying this scale factor to the length of side x in Figure B, we can express the length of the corresponding side in Figure A as (2/7)x.
Given that the length of side x in Figure B is 12, we can substitute it into the equation:
(2/7)x = 12
To solve for x, we can multiply both sides of the equation by 7/2:
x = (12 * 7) / 2
Simplifying the expression:
x = 84 / 2
x = 42
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jane ran 4 miles in 30 minutes. at the same rate, how many miles would she run in 48 minutes
Answer:
Below
Step-by-step explanation:
Find unit rate miles per minute
4 miles / 30 min = 4/30 mi/min
Rate X time = distance <======you should KNOW this !
4/30 X 48 = 6.4 miles
2y=12x-10 and y+=6x+12 Do the lines intersect, coincide, or are they parallel? 50 pts and ill give brainly to correct answer
Answer:
parallel
Step-by-step explanation:
Answer:intersect
Step-by-step explanation:
In ΔRST, r = 71 cm, � m∠T=48° and � m∠R=37°. Find the length of t, to the nearest 10th of a centimeter.
Answer:
t/sin T = r/sin R
where T and R are the measures of the opposite angles of t and r, respectively.
First, we need to find the measures of T and R in radians:
T = 48° * pi/180 = pi/4
R = 37° * pi/180 = 37 * pi/180
Next, we can use these values in the formula:
t/sin T = r/sin R
t = r * sin T / sin R
t = 71 * sin(pi/4) / sin(37 * pi/180)
Using a calculator, we can estimate t to the nearest 10th of a centimeter:
t ≈ 107.9 cm
So the length of t is approximately 107.9 cm to the nearest 10th of a centimeter.
Answer:87.7
Step-by-step explanation:
one third of the sum of a number and four
Answer:
\(\frac{1}{3} (n+4)\)
That is what the expression would be
for each trip, a taxicab company charges $4.25 for the first mile and $2.65 for each additional mile or fraction thereof. if the total charge for a certain trip was $62.55, how many miles at most was the trip
Answer:
x=23 miles
Step-by-step explanation:
Using the formal 62.55 = 4.25 + 2.65x
62.55 - 4.25 = 58.3
58.30=2.65x
58.30/2.65=x
22=x
Dont forget to add in the 1st mile
23 total miles
A snail moves through a garden and travles 1 1/8 meters in 1 1/2 minutes. What is the snail's rate in minutes per meter? Show your work
Answer:
4/3mpm
Step-by-step explanation:
(1 1/2)/(1 1/8)
convert to improper fraction
(3/2)/(9/8)
solve
1/(3/4)
4/3
Translate the following phrase into an algebraic expression. Use the
variable n to represent a number.
the sum of 8 and a number divided by 3
Answer:
8+n/3
Step-by-step explanation:
\(\frac{8+n}{3}\)
what is 28 divided by 5 5/6
Find the m∠r and m∠y
r = 88.5
y = 3/4
Step-by-step explanation:
From the lower triangle,
97 - 2x = 4x -2
Collecting all similar terms, we get
6x = 99 or x = 16.5
From the upper triangle, we can see that
5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5
Since the sum of all the interior angles of a triangle is equal to 180, we can write
4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180
4y = 3 or y = 3/4
what is the probability of getting 2 blue candies without replacement from a bag of 7 red candies and 5 blue candies
The probability of getting 2 blue candies without replacement from a bag of 7 red candies and 5 blue candies can be calculated as follows:
First, we need to find the total number of ways to choose 2 candies from the bag, which is:
12 choose 2 = (12!)/(2!*(12-2)!) = 66
Next, we need to find the number of ways to choose 2 blue candies from the bag, which is:
5 choose 2 = (5!)/(2!*(5-2)!) = 10
Therefore, the probability of getting 2 blue candies without replacement from the bag is:
10/66 = 5/33
So the probability of getting 2 blue candies without replacement from the bag is 5/33, or approximately 0.152.
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A lake has a surface area of 15.4 square miles. What is its surface area in square meters?
24. A total of 540 beads are shared in the ratio 4:5. The LARGER share of beads is
(A)60
(B) 240
(C) 300
D)432
Answer:
C
Step-by-step explanation:
anong uri ito ng NGO/PO?
\(_____________________________________\)
ANSWER:Ang uri ng NGO/PO ay isang magagalang na salita saating bansa at ito ay dapat gamitin sa mga nakakatanda saatin upang sa paggalang.Akala ko ako lang Pilipino dito
\(_____________________________________\)
꧁____YunaKoharuChan____꧂Find the equation of the linear function represented by the table below in slope-
intercept form.
y=Mx+B
Answer:
y = x + 4
Step-by-step explanation:
Let the equation of the linear function represented by the table is,
\(y-y_1=m(x-x_1)\)
where m = slope of the line
And this line passes through the points \((x_1,y_1)\) and \((x_2,y_2)\)
Slope of the given line = \(\frac{y_2-y_1}{x_2-x_1}\)
From the given table two points lying on the function are (-4, 0) and (1, 5).
Slope 'm' = \(\frac{5-0}{1+4}\) = 1
Therefore, equation of the linear function passing through (1, 5) and slope 1 will be,
y - 5 = (x - 1)
y = x + 5 - 1
y = x + 4
16.) a) A group of college students are volunteering for Help the Homeless during their
spring break. They are putting the finishing touches on a house they built. Working
alone, Irina can paint a certain room in 5 hours. Paul can paint the same room in 10
hours. How many hours will it take them to paint the room?
bl Raul
Answer:
\(3\frac{1}{3}\) or \(\frac{10}{3}\)
Step-by-step explanation:
We could use the combined rate equation to find the combined rate of work.
Combined rate of work formula: \(\frac{1}{t_{b}} = \frac{1}{t_{1} } + \frac{1}{t_{2} }\), where \(t_{1}\) is the individual time for object A, \(t_{2}\) the individual time for object B and \(t_{b}\) is the time for A and B together.
The time it takes Irina to paint the room alone, \(t_{1}\) = 5 hours
The time it takes Paulo to paint the room, \(t_{2}\) = 10 hours
1) Substitute object A (Irina) and B (Paulo) into the formula given above, and change \(t_{b}\) into an \(x\).
\(\frac{1}{{x}} = \frac{1}{5 } + \frac{1}{10 }\)
2) Add the fractions.
\(\frac{1}{x} = \frac{3}{10}\)
3) Solve for the \(x\).
\(x(3) = 1(10)\\3x = 10\\x = \frac{10}{3} \\\)
4) Change them into a mixed fraction.
\(3\frac{1}{3}\)
Note: \(\frac{10}{3}\) or \(3\frac{1}{3}\) are both correct. Write the answer according to the question. In this case, there is no specific rule, so I choose \(3\frac{1}{3}\).
4. The scores awarded to 25 students for an assignment were as follows:
4 7 5 9 8 6 7 7 8 5 6 9 8 5 8 7 4 7 3 6 8 9 7 6 9
What is the mode?
1. 6
2. 8
3. 7
4. 9
Answer:
7 The answer is no. 3 because it is more than the others
aset of five distinct prime numbers has a mean of 10 and a median of 7. What is the greatest possible number in this set
The greatest possible number in the set of five distinct prime numbers with a mean of 10 and a median of 7 is 19.:
Let's assume the numbers to be n1, n2, n3, n4, and n5.
The average of these numbers is 10.
Therefore, we can write an equation as: (n1 + n2 + n3 + n4 + n5) / 5 = 10 (Equation 1)n1 + n2 + n3 + n4 + n5 = 50 (Equation 2)As we know that the median is the third number, we can write:n1 < n2 < n3 = 7 < n4 < n5Since all the numbers are prime, n1 and n2 must be less than 7.n1 < 7 and n2 < 7
Thus, the smallest possible values of n1 and n2 are 2 and 3 respectively.
To find the greatest possible number, we need to make n5 as large as possible.
Since n5 has to be the greatest prime number among the five primes, the only possibility is n5 = 19.
Substituting the values of n1 = 2, n2 = 3, n3 = 7, n4 = x, and n5 = 19 into Equation 2, we can solve for n4.2 + 3 + 7 + x + 19 = 50x = 19The set of five prime numbers is {2, 3, 7, 19, 19}.
Summary:The greatest possible number in the set of five distinct prime numbers with a mean of 10 and a median of 7 is 19.
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(08.03 MC)
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Forearm Length, Group A
9 10 11 12
Length (inches)
Forearm Length, Group B
:
+
+
9
10 11 12
Length (inches)
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?
000
.....
...
The Length (inches) Forearm Length, the correct group is B.
We have given that,
The two-dot plots below compare the forearm lengths of two groups of schoolchildren.
Based on visual inspection of the dot plots, which group appears to have the longest average forearm length.
What is the length?
Length is a measure of distance. In the International System of Quantities, length is a quantity with dimension distance. In most systems of measurement a base unit for length is chosen, from which all other units are derived. In the International System of Units system, the base unit for length is the meter.
Group B, because five children have a forearm length longer than 12 inches.
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the distance between -8 and 6
Answer:
14 is the number of distance between them if you're asking for
-8-6 it's 2
Answer:
12
Step-by-step explanation:
Get the absolute value of -8 and 6, which is 8 and 6, and add them together.
a shopkeeper bought 1000 tumblers at rs. 8 each. 100 glass tumbler were broken and he sold the rest at rs. 10 each. find his gain oe loss percent
Answer:
12.5% profit
Step-by-step explanation:
he spents $8000 (1000×8)HE sells 900 of them for $10 making $9000, his profit is $1000 . profit divided by original price multiplied by 100 . . (1000/8000×100)A student says that it 5x^2 =20,then x must be
equal to 2. Do you agree or disagree with the
student? Justity your answer.
Hope you could get an idea from it.
Doubt clarification - use comment section.
Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Makayla's birthday.
Answer:
(2+2)-12
Step-by-step explanation:
9514 1404 393
Answer:
C = 12 -2t
Step-by-step explanation:
In two days, four chocolates were eaten, so at the rate of 2 per day. The initial number was 12, so the number remaining is ...
c = 12 -2t
Please heeeelp
The following set of ordered pairs represents a function. (1,8), (3,6), (5,4), (7,2)
What is the domain of the function?
A- All odd integers from 1 to 7
B-All integers from 1 to 8
C- All rational numbers from 1 to 7
D- All even integers from 2 to 8
Answer:
I believe it would be all positive numbers 1-7. You have to look at the x, or, input values. I hope I got this right.
Step-by-step explanation:
(x^2+ 7x + 12) / (x + 4)
Answer:
x+3
I hope this helps you
Firm XYZ is holding a long position in a $20 million interest rate swap that has a remaining life of 15 months. Under the terms of the swap, six-month LIBOR is exchanged for 4% per annum (both rates are compounded semiannually). The risk-free interest rate for all maturities is currently 5% per annum with continuous compounding. The six-month LIBOR rate was 4.5% per annum two months ago. a. Compute the current value of the swap to firm XYZ Code your answer in the box below. Clearly comment your working. Display your final answer by running the section. b. Suggest a reason why XYZ entered into the swap in the first place. Type answer here (14 + 6 = 20 marks)
a. The value of the swap to firm XYZ is -$23,225.33.
b. This would help to protect the firm against an increase in interest rates.
a. Calculation of the value of the swap to firm XYZ
The value of the swap to firm XYZ can be calculated using the following formula:
Value of Swap = Value of Fixed Leg - Value of Floating Leg
Where Value of Fixed Leg = VFL = (Coupon Rate * Principal * (1 - (1 + r)-n / r))
Value of Floating Leg = VFL = (Interest Rate * Principal * (1 - (1 + r)-n / r))
Where, Coupon Rate = 4% p.a. Principal = $20 million
Interest Rate = LIBOR + Spread, Spread = 0, therefore,
Interest Rate = 4.5% p.a.
Time to Maturity, n = 15 months
Remaining Time to Next Payment = 6 - 2 = 4 months
Therefore, the current six-month LIBOR rate is required to calculate the value of the swap as follows:
Current six-month LIBOR rate = 4.5% * (4/6) + x% * (2/6)x = ((Value of Swap/Principal + (1 - (1 + r)-n / r)) * r) / (1 - (1 + r)-n / r) = 0.0251%
Value of Fixed Leg = VFL = (0.04 * 20,000,000 * (1 - (1 + 0.05/2)-30 / (0.05/2))) = $1,328,816.76
Value of Floating Leg = VFL = (0.0451 * 20,000,000 * (1 - (1 + 0.05/2)-10 / (0.05/2))) = $1,352,042.09
Value of Swap = $1,328,816.76 - $1,352,042.09 = -$23,225.33
Therefore, the value of the swap to firm XYZ is -$23,225.33.
b. Suggest a reason why XYZ entered into the swap in the first place
Firm XYZ might have entered into the swap in the first place to mitigate the risk of a rise in interest rates in the future. By entering into a fixed-for-floating interest rate swap, the firm has fixed its borrowing cost for the duration of the swap at 4%, regardless of the future interest rate changes.
Therefore, this would help to protect the firm against an increase in interest rates.
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A certain manufacturer produces two product p & q. each unit of product p requires (in its production) 20 units of row material a & 10 units of row material b. each unit of product of requires 30 units of raw material a & 50 units of raw maternal b. there is a limited supply of 1200 units of raw material a & 950 units of raw material b. how many units of p & q can be produced if we want to exhaust the supply of raw materials?
The maximum number of units of product P and Q that can be produced is 45, and 10 respectively.
Let's assume the number of units of product P to be produced is 'x', and the number of units of product Q to be produced is 'y'.
According to the given information, each unit of product P requires 20 units of raw material A and 10 units of raw material B.
Therefore, the total units of raw material A required for producing 'x' units of product P would be 20x,
and the total units of raw material B required would be 10x.
Similarly, each unit of product Q requires 30 units of raw material A and 50 units of raw material B.
Therefore, the total units of raw material A required for producing 'y' units of product Q would be 30y,
and the total units of raw material B required would be 50y.
Since the total available units of raw material A are 1200 and the total available units of raw material B are 950,
write the following equations,
20x + 30y ≤ 1200 (equation 1) ___ for raw material A
10x + 50y ≤ 950 (equation 2) ___ for raw material B
To find the maximum values of 'x' and 'y' that satisfy these equations,
solve this system of linear inequalities.
To simplify the equations, let's divide both sides of equation 1 by 10 and equation 2 by 10,
2x + 3y ≤ 120 (equation 1)
x + 5y ≤ 95 (equation 2)
Now, use substitution method to find the feasible solutions for 'x' and 'y'.
From equation 2, rearrange it as,
x ≤ 95 - 5y
Substituting this value of 'x' in equation 1, we get,
2(95 - 5y) + 3y ≤ 120
190 - 10y + 3y ≤ 120
190 - 7y ≤ 120
-7y ≤ -70
y ≥ -70 / -7
y ≥ 10
Now, substitute this value of 'y' in equation 2,
x + 5(10) ≤ 95
x + 50 ≤ 95
x ≤ 95 - 50
x ≤ 45
Hence, the feasible range of values for 'x' is 0 ≤ x ≤ 45, and the feasible range of values for 'y' is y ≥ 10.
To exhaust the supply of raw materials,
Produce the maximum number of units of products P and Q. So, take the highest possible values,
If set x = 45, then y = 10 (to satisfy equation 2).
If set y = 10, then x = 45 (to satisfy equation 1).
Therefore, the maximum number of units of product P that can be produced is 45, and the maximum number of units of product Q that can be produced is 10.
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Someone one help!!! Plz
Answer:
D. 8
Step-by-step explanation:
They are angles opposite to each other thus they have to be equal to the same angle. Set them equal to each other and solve for x. Or plug the choices in and see which one makes both degrees the same. Answer is D. 8
What does this simplify down to? PLEASE show me how you got your answer!
Answer:
2/3
Step-by-step explanation:
the answer is explain up in the link or photo show up