The probability that a shopper from this sample finds regifting socially acceptable is approximately 0.9938 (rounded to four decimal places).
To answer this question, we'll use the binomial probability formula, which is:
P(x) = (ⁿCₓ) × (pˣ) × (q^(n-x))
where:
- P(x) is the probability of x successes (in this case, x shoppers finding regifting socially acceptable)
- n is the number of trials (in this case, the sample size of 10 shoppers)
- x is the number of successes (the number of shoppers finding regifting acceptable)
- nCx is the number of combinations of n items taken x at a time
- p is the probability of success (68% or 0.68)
- q is the probability of failure (1 - p, or 32% or 0.32)
We want to find the probability that a shopper from the sample of 10 finds regifting socially acceptable. To do this, we can find the probability that any number of shoppers from the sample (1 to 10) find regifting socially acceptable, then sum these probabilities.
For example:
P(1 shopper finds regifting acceptable) = ¹⁰C₁ × (0.68¹) × (0.32⁹)
P(2 shoppers find regifting acceptable) = ¹⁰C₂ × (0.68²) × (0.32⁸)
...
P(10 shoppers find regifting acceptable) = ¹⁰C₁₀ × (0.68¹⁰) × (0.32⁰)
Sum these probabilities, and you get the total probability that a shopper from this sample finds regifting socially acceptable.
Therefore, The probability that a shopper from this sample finds regifting socially acceptable is approximately 0.9938 (rounded to four decimal places).
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Which of the following shows 2/25 is written as a percent?
2%
8%
12%
25%
Answer:
8%
Step-by-step explanation:
2/25*100
=8%
x^4-8x^2-33-14y-y^2
Answer:
I'm glad you asked!
Step-by-step explanation:
So let's simplify the number which is all you can do .
\(x^{4} -8x^{2} -33-14y-y^{2}\)
= \(x^{4} +-8x^{2} +-33+-14y+-y^{2}\)
Answer:
=\(x^{4} -8x^{2} -y^{2} -14y+-y^{2}\)
what is the result of -25 x(84/21)+(-3)x(-6) ??
Answer:
-82
Step-by-step explanation:
84/21=4
-25x4=-100
-3x-6=18
-100+18=-82
PLEASE HELP ASAP PLEASE
Answer:
t = (q - r) / rs
Step-by-step explanation:
Right now you have q=rst+r so if you want to find t you must move the variables around. Like this:
q=rst+r (or r+rst)
so so get rid of the r first
like this: (q-r)=rst
divide by rs to find t
so t=(q-r)/rs
Graph and find the area of the figure with the vertices (−2, −2), (0, 0), (3, −2).
A. A=5 units^2
B.A=10 units^2
C. A= 4 units ^2
D. A=9 units ^2
Answer:
Step-by-step explanation:
To find the area of the figure with the given vertices, we can use the formula for the area of a triangle. Since the three given points form a triangle, we can calculate its area.
Using the coordinates of the vertices, we have:
Vertex 1: (-2, -2)
Vertex 2: (0, 0)
Vertex 3: (3, -2)
The formula for the area of a triangle is:
A = (1/2) * base * height
To find the base and height of the triangle, we can use the distance formula between the given points.
Distance between Vertex 1 and Vertex 2:
base = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(0 - (-2))^2 + (0 - (-2))^2]
= √[2^2 + 2^2]
= √[4 + 4]
= √8
Distance between Vertex 2 and Vertex 3:
height = √[(x2 - x1)^2 + (y2 - y1)^2]
= √[(3 - 0)^2 + (-2 - 0)^2]
= √[3^2 + (-2)^2]
= √[9 + 4]
= √13
Now, we can calculate the area of the triangle:
A = (1/2) * base * height
= (1/2) * √8 * √13
= (1/2) * √104
= (1/2) * 2√26
= √26
Therefore, the area of the figure is √26 square units.
The correct option is not provided in the given answer choices.
Choose the graph that matches the following system of equations: x–3y =-12, 2x - y = 1
Answer:
x=3, y=5
Step-by-step explanation:
A restaurant owner randomly surveyed 40 people who came in over the weekend. The restaurant owner asked about each person's favorite type of
dessert
The results of the survey are shown in the table.
Dessert Type
Number of People
Brownie
11
Ice Cream Sundae
8
Cake
5
Pie
16
What can the restaurant owner infer from the results?
Answer:
The restaurant owner can infer that most customers like pie
Step-by-step explanation:
Answer: The owner can infer that "Pie" is what customers like the most.
Step-by-step explanation:
What is the volume, in cubic in, of a cylinder with a height of 8 in and a base radius of
2 in, to the nearest tenths place?
Answer:
V=100.5
Step-by-step explanation:
hopes this helps
ASAP!!! Clever code to calculate the area of a triangle???
Answer:
1/2 bh
half of base × height
A student tosses a six-sided die, with each side numbered 1 though 6, and flips a coin. What is the probability that the die will land on the face numbered 1 and the coin will land showing tails? A. 1/3 B. 1/12 C. 1/6 D. 1/4
The probability that the die will land on the face numbered 1 and the coin will land showing tails is 1/12.In the offered options, this corresponds to option B.
There are two events happening here: the die being rolled and the coin being flipped. Since these events are independent, we can find the probability of both events occurring by multiplying the probabilities of each individual event.
The probability of rolling a 1 on a six-sided die is 1/6, and the probability of flipping tails on a coin is 1/2. We multiply these probabilities to obtain the likelihood of both occurrences occurring.:
1/6 x 1/2 = 1/12
Therefore, the probability that the die will land on the face numbered 1 and the coin will land showing tails is 1/12. In the offered options, this corresponds to option B.
It is important to note that the probabilities of the two events are independent, meaning that the outcome of one event does not affect the outcome of the other event
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Jamie has a fish tank with clownfish and goldfish. There are 8 fish in total, and 2/8 of them are clownfish. Jamie decides to double the amount of clownfish in the tank. How many clownfish are in the tank now? What fraction of the fish are clownfish?
Answer:
1/ There are 4 clownfish in the tank now
2/ 4/10
Step-by-step explanation:
1/ We know the original number of clownfish is 2/8, which means there are 2 clownfish in a tank with a total number of 8 fish.
So now she wants to double the clownfish. So there will be 4 clownfish in the tank now.
2/ We know that there was eight fish in the tank, and now there are 2 more, so the total will be 10! And we know that now there are 4 clownfish, so our fraction is 4/10
Calculate the area of the regular pentagon.
The area of the regular pentagon is 252.7m²
How to determine the valueThe formula that is used for calculating the area of a regular pentagon is expressed with the equation;
A = 5/2 x s x a
where the parameters are;
's' is the side of the pentagon 'a' is the apothem length.Apothem is the line from the center of the pentagon to a side, intersecting the side at 90 degrees right angle.
apothem,a = s/2 tan (180/n)
Substitute the values
Apothem, a = 7.6/2 tan 16
a = 7.6/0.57 = 13.3m
Substitute the values, we get;
Area = 5/2 × 7.6 × 13.3
Multiply the values, we have;
Area = 505. 4/2
Divide the values, we get;
Area = 252.7 m²
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which are the following statements is 6×7 = 42
Answer:
A and B are both correct
Step-by-step explanation:
the definitions of the following words are:
factor- a number or quantity that when multiplied with another produces a given number or expression.
multiple- a number that can be divided by another number without a remainder.
6 multiplied with 7 equals 42
42 divided by 7 equals 6
another way of phrasing it:
7 and 6 are factors of 42
and
42 is a multiple of both 7 and 6
hope this helped!
Answer:
42 is a multiple of 7.
6 is a factor of 42
Step-by-step explanation:
or Two window washers, Carter and Garrett, lean a ladder against the side of a building so that Carter can wash a window while Garrett holds the ladder. The top of the ladder reaches the window, which is 15 feet off the ground. The base of the ladder is 8 feet away from the building. How long is the ladder?
Answer:
17 ft
Step-by-step explanation:
use pythagoras
c²=a²+b²
c²=8²+15²
(solve for c)
c=17ft
Can someone help? Please
Answer:
x=1
Step-by-step explanation:
3(x)+1 substitute 1 in for x
3(1)+1=4
10(x)-6 substitute 1 in for x
10(1)-6=4
4=4
(sorry if that doesn't make any sense)
The sales tax rate is 6.3%. Rosa buys a shirt priced as $108, what is her total cost including tax (nearest hundredth)
Answer:
$114.80
Step-by-step explanation:
108 increase 6.3% =
108 × (1 + 6.3%) = 108 × (1 + 0.063) = 114.804
.In a fruit basket, there are 8 bananas and 4 apples. What is the unit rate for bananas to apples?
Answer:
2:1
Step-by-step explanation:
Answer:
2 bananas per apple
Step-by-step explanation:
Jackie likes coffee. She ________ about eight cups of coffee every day.
a-is drinking
b-drinks
c-is always drinking
d-drank
the data set shows the number of yogurt pretzels in various bags. 4, 4, 4, 4, 5 ,5, 5, 5, 5, 5, 6, 6, 7, 7, 8
The mean is approximately 5.47, the median is 5, and the mode is 5 for the given data set of yogurt pretzels.
The given data set represents the number of yogurt pretzels in various bags. The numbers in the data set are: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8.To summarize the data set, we can calculate the measures of central tendency, such as the mean, median, and mode:
Mean: The mean is calculated by summing up all the values and dividing by the total count. In this case, the sum is 82, and there are 15 values. So, the mean is 82/15 ≈ 5.47.
Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, the median is 5, as it lies in the middle when the values are sorted.
Mode: The mode is the value that appears most frequently. In this data set, the mode is 5, as it occurs six times, more than any other number.
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jasmine bought three tickets for a concert for a $55 each. The two family members she bought them for can no longer go to the concert so Jasmine decides to sell the tickets for a 15% markup to two of her friends. How much total money will she receive after selling the tickets to her friends?
Answer:
$126.5
Step-by-step explanation:
Find how much 15% is in 55, then add it to 55 and multiply by 2!
You and three of your friends have stock in a corporation and are interested in voting one of your friends in as a new director for the corporation. There are three director positions open, but your group only owns a minority of the shares of stock in the corporation. Do you think there is anything you and your friends can do to ensure that your candidate for the board of directors wins? no, unless you each agree in writing before the election to all vote the same way yes, if your candidate can get enough publicity no, a majority always wins yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate
Yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate, you and your friends can ensure that your candidate for the board of directors wins, even with a minority of shares.
The bylaws of a corporation outline the rules and procedures governing its operations, including the election of directors. In some cases, the bylaws may allow shareholders to pool their votes and vote them all for a single candidate. This means that if you and your friends collectively own enough shares to secure a majority of the votes, you can consolidate your voting power and ensure the victory of your candidate.
By pooling your votes, you can leverage your collective shares to outweigh the votes of other shareholders and increase the chances of your preferred candidate winning. This strategy enables you to overcome the disadvantage of holding a minority of shares and still have a significant impact on the election outcome.
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Determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13.
The only point that lies on both lines is (-4,5).
To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.
For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.
Substituting the coordinates of each point into these equations, we get:
For the point (-4,5):
-4(2) + 16/4 = -4 + 4 = 0, and
-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.
Therefore, (-4,5) satisfies both equations.
For the point (4,3):
4(2) + 16/4 = 8 + 4 = 12, and
-3(4) + 13/5 = -12 + 13/5 = -47/5.
Therefore, (4,3) does not satisfy both equations.
For the point (1,2):
-1(2) + 16/4 = -2 + 4 = 2, and
-3(1) + 13/5 = -3 + 13/5 = 2/5.
Therefore, (1,2) does not satisfy both equations.
Therefore, the only point that lies on both lines is (-4,5).
When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.
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Dina is making a logo and she decides to use a regular polygon. Each interior angle of the polygon measures 140°. What is the number of sides of this polygon?
Answer:
The polygon has 9 sides (a regular nonagon).
Step-by-step explanation:
Angles in a Regular Polygon
A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures
\(\displaystyle \frac{180(n-2)}{n}\)
The regular polygon used by Dina for the logo is such that each interior angle measures 140°, thus:
\(\displaystyle \frac{180(n-2)}{n}=140\)
Multiply by n:
\(180(n-2)=140n\)
Operate:
\(180n-360=140n\)
Reducing:
\(40n=360\)
Solving:
n=9
The polygon has 9 sides (a regular nonagon).
A sign says the distance to the next exit is 5 mi. The actual distance is 5.2 mi. To the nearest percent, what is the percent error of the sign?
Answer:
About 4%
because 5 of 5.2 is about 96% so 100% - 96% = 4%
Answer:
4%
Step-by-step explanation:
vA = actual value
vE = expected value
percent error = ((vA - vE) / vE) x 100
((5.2 - 5) / 5) x 100 = 4
4%
What are the 3 equations needed to solve this word problem
Answer:
First account (4%): P₁ = $25,500
Second account (3¹/₈%): P₂ = $44,000
Third account (2¹/₂%): P₃ = $11,000
Step-by-step explanation:
Simple Interest Formula
\(\large\boxed{\sf I = Prt}\)
Where:
I = Total interest accrued.P = Principal invested.r = Interest rate (in decimal form),t = Time (in years),Given information:
Total investment = $80,500First account: 4% simple interestSecond account: 3¹/₈% simple interestThird account: 2¹/₂% simple interestTotal interest earned at the end of one year = $2,670Convert the given percentages into decimal form:
\(\implies \sf 4\%=\dfrac{4}{100}=0.04\)
\(\implies \sf 3 \frac{1}{8}\%=3.125\%=\dfrac{3.125}{100}=0.03125\)
\(\implies \sf 2 \frac{1}{2}\%=2.5\%=\dfrac{2.5}{100}=0.025\)
Let P₁, P₂ and P₃ be the principal amounts invested into each of the three accounts, and I₁, I₂ and I₃ be the corresponding interest accrued.
Use the simple interest formula to find expressions for the interest of each account:
\(\implies \sf I_1=P_1 \cdot 0.04 \cdot 1=0.04P_1\)
\(\implies \sf I_2=P_2 \cdot 0.03125 \cdot 1=0.03125P_2\)
\(\implies \sf I_3=P_3 \cdot 0.025 \cdot 1=0.025P_3\)
Let x be the amount invested in third account.
Therefore, the amount invested in the second account = 4x.
The total interest earned is $2,670:
\(\begin{aligned}\textsf{Total interest}&=\sf 2670\\\implies \sf I_1+I_2+I_3&=\sf 2670\\ \sf 0.04P_1+0.03125P_2+0.025P_3&= \sf2670\\\sf 0.04P_1+0.03125(4x)+0.025(x)&= \sf2670\\\sf 0.04P_1+0.125x+0.025x&= \sf2670\\\sf 0.04P_1+0.15x&= \sf2670\\\end{aligned}\)
The total amount invested it $80,500:
\(\begin{aligned} \textsf{Total principal} & = \sf 80500\\\implies\sf P_1+P_2+P_3 &=\sf80500\\\sf P_1+4x+x&=\sf 80500\\\sf P_1+5x&=\sf 80500\\\sf P_1&=\sf 80500-5x\end{aligned}\)
Substitute the expression for P₁ into the total interest equation and solve for x:
\(\begin{aligned}\sf 0.04P_1+0.15x & = \sf 2670\\\implies \sf 0.04(80500-5x)+0.15x & = \sf 2670\\\sf 3220-0.2x+0.15x & = \sf 2670\\\sf 3220-0.05x & = \sf 2670\\\sf 550&=\sf0.05x\\\sf x&=\sf 11000\end{aligned}\)
Therefore:
\(\implies \sf P_2=4x=4(11000)=\$44,000\)
\(\implies \sf P_3=x=\$11,000\)
\(\implies \sf P_1=80500-P_2-P_3=80500-44000-11000=\$25,500\)
Describe the calculation needed to solve the equation c - (-8.37) = 5. 33 Be specific.
The value of c is obtained as -3.04. The solution has been obtained by using the arithmetic operations.
What are arithmetic operations?
The four fundamental operations often referred to as "arithmetic operations" are said by mathematicians to be capable of expressing any real number. The four mathematical operations that produce quotient, product, sum, and difference, respectively, are divide, multiply, add, and subtract.
We are given an equation as c - (-8.37) = 5. 33.
On solving the equation, we get
⇒c - (-8.37) = 5. 33
⇒c + 8.37 = 5. 33
⇒c = 5. 33 - 8.37
⇒c = -3.04
Hence, we get the value for c as -3.04.
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Evaluate - 2(3k+9x) when k= -8 and x= -9
Answer:
210
Step-by-step explanation:
When you have questions that says evaluate [insert equation here] and it gives you variables thats inside the equation, replace the equation with that value.
The question is telling you that k is equal to -8 and x is equal to -9. So replace k and x with their numerical values so you can proceed with math.
-2(3k+9x) turns into: -2(3(-8)+9(-9)).
-2(3k+9x) (or -2(3(-8)+9(-9))) evaluates to 210.
Find the slope and the y-intercept of the line.
y=-5/4x+5
Answer:
Slope: -5/4
y-intercept: 5
Step-by-step explanation:
y = mx + b
m = slope
b = y-intercept
Tiana has already taken 1 page of notes on her own, and she will take 1 page during each hour of class. In all, how many hours will Tiana have to spend in class before she will have a total of 43 pages of notes in her notebook?
Answer:
42 Hours.
Step-by-step explanation:
As an equation where y is the total pages and x is hours of class:
y=1+1x since she started with 1 page and does 1 page per hour.
Setting the total pages she needs as 43 (y=43) we get:
43=1+1x
Subtract one on both sides
42=1x
The 1 doesn't need to be written so
x=42
Therefore, it'll take her 42 hours to write all those notes.
Click here to view factor tables What is the present value of $8,160 due 6 periods hence, discounted at 6% ? (Round foctor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.8. 458.581.1 The present value
The present value of $8,160 due 6 periods from now, discounted at 6%, is approximately $6,402.42.
Explanation: To calculate the present value, we use the formula PV = FV / \((1 + r)^n\), where PV is the present value, FV is the future value, r is the discount rate, and n is the number of periods. In this case, the future value is $8,160, the discount rate is 6%, and the number of periods is 6.
First, we need to calculate the discount factor, which is (1 + r)^n. In this case, it is \((1 + 0.06)^6\) = 1.4185. The discount factor represents the value of $1 received in the future as of today.
Next, we divide the future value by the discount factor to obtain the present value: $8,160 / 1.4185 = $6,402.42. Therefore, the present value of $8,160 due 6 periods from now, discounted at 6%, is approximately $6,402.42.
It's important to note that the factors mentioned in the question ("factor tables") are not explicitly provided here. The calculation relies on the formula and understanding of discounting future cash flows.
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