The measure of the angle the minute hand traces in 36 minutes is 3.77 radians
Calculating AngleFrom the question, we are to determine the measure of the angle the minute hand traces in 36 minutes
The minute hand makes a complete rotation after 60 minutes.
Thus,
The angle the minute hand would have traced in 36 minutes is
36/60 × 360°
= 12960/60
= 216°
Now, convert to radians
216° = 216 × π/180 rad
= 3.77 rad
Hence, the measure of the angle the minute hand traces in 36 minutes is 3.77 radians
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Under the answer choice D, it says The rectangles are similar
The correct answer is option D.
Al and Angela both took out loans from the bank for $2,000 to help with their bills. Al's loan was calculated with a simple interest rate of 14% and Angela's loan had an interest rate of 13% that compounded annually. They each paid off their loans in 5 years. Who repaid the bank more money and how much more did they repay?
Answer:
Angela $3680Step-by-step explanation:
For Al's loan (simple interest )
p=$2000
rate=14%= 14/100= 0.14
time t= 5years
A=p(1+rt)]
A=2000(1+0.14*5)
A=2000(1+0.7)
A=2000(1.7)
A=$3400
For Angela loan (compounded interest )
p=$2000
rate=13%= 14/100= 0.13
time t= 5years
A=p(1+r)^t
A=2000(1+0.13)^5)
A=2000(1+0.13)^5
A=2000(1.13)^5
A= 2000*1.84
A=$3680
Angela repaid more
Find f[g(x)] and g[f(x)] for the given functions. 3 f(x) = -x³ +3, g(x) = 4x+7 (Simplify your answer. Do not factor.) (Simplify your answer. Do not factor.) f[g(x)] = g[f(x)] =
The value of f[g(x)] is - 64x³ - 336x² - 588x - 340 and the value of g[f(x)] is -4x³ + 19
The functions are as follows; f(x) = -x³ +3 and g(x) = 4x+7
The value of f[g(x)] is obtained by replacing every x in f(x) with the value of g(x) as given below
f[g(x)] = f(4x + 7) = - (4x + 7)³ + 3
When we expand (4x + 7)³, it gives us 64x³ + 336x² + 588x + 343
Then
f[g(x)] = - 64x³ - 336x² - 588x - 340
Similarly, g[f(x)] is obtained by replacing every x in g(x) with the value of f(x) as shown below;
g[f(x)] = g(-x³ + 3) = 4(-x³ + 3) + 7g
[f(x)] = -4x³ + 19
Therefore,
f[g(x)] = - 64x³ - 336x² - 588x - 340
g[f(x)] = -4x³ + 19
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inl need help pleasee
Answer: the answer is C
Step-by-step explanation:
A map has a scale of 1 cm : 9 km. If two cities are 2 centimeters apart on the map, what is the actual distance between the cities?
Answer:
18 kilometers
Step-by-step explanation:
If each 1 cm represents 9 kilometers.
How many would 2 cm represent?
\(x = \frac{9 \times 2}{1} = 9 \times 2 = 18\)
The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock’s percent increase during this time? Round your answer to the nearest percent.
Answer:
95.7%
Step-by-step explanation:
i think im not too sure im sorry if you get it wrong
Rectangle BBB is shown below. Nadia drew a scaled version of Rectangle BBB using a scale factor of \dfrac15
5
1
start fraction, 1, divided by, 5, end fraction and labeled it Rectangle CCC.
Answer:
2
Step-by-step explanation:
5 / 1/5 and 10 / 1/5
Answer:
The answer is 2
Step-by-step explanation:
Find the Z-scores that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution.
The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.
In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:
Z=(X-μ)/σ
It is used to measure how many standard deviations the measure is from the mean.
After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.
The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.
Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.
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Read the photo I've attached
you play a game with a biased coin where there is a 40% chance of heads and 60% chance of tails. you may place a bet; if heads is flipped then you receive your bet back plus the same in winnings. if tails is flipped then you lose your bet. you have $10 and you want to turn this into $20 by continuously betting $1 at a time, walking away when you either have a total of $20 or are bankrupt. what is the probability you will leave with $20?
Using Bionomial probability distribution,
the probability of getting all 10 times suceess or we will leave with $20 is 0.000104.
we have provide the following information
Coin is bised 40% chances of result head and 60% result is tail I have $10 and wants to earn $10 morelet the winning or success occour when heads come as result on toss of coin.
probability of winning (p) = 40% = 0.40
probability of failure (q) ,= 60% = 0.60
betting rate is $1 at a time . So, for turn $10 into $20 we have to toss a coin 10 times . After 10 toss either we complete $20 or bankrupt .
we have to calculate the probability that we winning the bet in all 10 rounds or turn $10 to $20. i.e probability of comming head in all toss of a biased coin as a result .
Using Bionomial distribution formula,
P(X= x) = ⁿCₓ(p)ˣ (q)⁽ⁿ⁻ˣ⁾
where , n---> total number of tossed a coin
x ---> number of times we have succes
Here, n= 10 and x= 10 ,p= 2/5 , q = 3/5
putting all the values in above formula we get,
P(X= 10) = ¹⁰C₁₀(2/5)¹⁰(3/5)⁰
=> P(X= 10) = (2/5)¹⁰ = 0.000104
Hence, the probability we will leave with $20 is 0.000104..
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which value of X is in the solution set of the inequality -2X + 5 > 17
A) -8
B) -4
C)-6
D)12
Answer: B
Step-by-step explanation:
First you must get the X term on its own. To do that, you must remove the +5 because it is on the same side of the > symbol as the x term. When removing a term we must to the opposite to what the equation states so, as the equation say +5 we must -5 from BOTH sides of the > sign instead. This leaves is with -2x>12. To find the value of X, we divide both sides by -2 (since currently the x is multiplied by -2 and we need to do the opposite) and we get x<-6. Remember when dividing by a negative number we flip the sign. The value of x must be lower than -6 and the only value lower than -6 from the given solutions is -4, so the answer is B.
Two cubical boxes of side a cm are placed next to one another to form a cuboid. The total surface area of the cuboid so formed is?
Answer: 60
Step-by-step explanation:
suppose average pizza delivery times are normally distributed with an unknown population mean and a population standard deviation of 6 minutes. a random sample of 28 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. what is the correct interpretation of the confidence interval? select the correct answer below: we can estimate with 95% confidence that the sample mean pizza delivery time is between 33.78 and 38.22 minutes. we can estimate that 95% of the time that a pizza is ordered, the pizza delivery time is between 33.78 and 38.22 minutes. we can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes. we can estimate that 95% of the pizza delivery restaurants have a mean pizza delivery time between 33.78 and 38.22 minutes.
The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."
The confidence interval represents a range of values within which the
population mean delivery time is likely to fall, based on the sample data.
It does not provide information about the delivery times of individual pizzas
or restaurants.
The confidence level refers to the percentage of times that the true
population mean would be expected to fall within the interval if the same
sampling procedure were repeated many times.
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What is the mean of 5, 7, 9, 11, 12, 13, 24, 25, 26, and 28?
Answer:
16 is the mean
Select all the points that are on the line through (0, 5) and (2, 8).
(4, 11)
(5, 10)
(6, 14)
(30, 50)
(40, 60)
help me i need it i will give brainlest
Answer:
a = 5.3
Step-by-step explanation:
Plug the length of the other two sides into the Pythagorean Theorem and solve.
a² + b² = c²
a² + 6² = 8²
a² + 36 = 64
a² = 28
a = √28
a = 5.291502622 ⇒ 5.3 (to the nearest tenth)
The length of "a" is 5.3.
Hope that helps.
help help help help help help help help
Answer:
\(x^{2} +5x\)
Step-by-step explanation:
A = length x width
l = x + 5
w = x
A = x(x + 5)
\(A=x^{2} +5x\)
91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
55. Urn A contains two red balls and three white balls. Urn B con tains five red balls and one blue ball. ball is chosen at random A from Urn A and placed into Urn B. Then a ball is chosen at random from Urn B. a. What is the probability that both balls are red? b. What is the probability that the second ball is red? c. Given that the second ball is red, what is the probability that the first ball was red?
a. The probability of selecting a red ball from Urn A and then the probability of selecting a red ball from Urn B after one red ball has been transferred. b. The probability of selecting a red ball from Urn B, taking into account the transfer of one ball from Urn A. c. The probability that the first ball was red can be calculated using conditional probability.
a. To calculate the probability that both balls chosen are red, we multiply the probability of selecting a red ball from Urn A (2 out of 5) by the probability of selecting a red ball from Urn B (6 out of 7, since one red ball was added). So the probability is (2/5) * (6/7) = 12/35.
b. To calculate the probability that the second ball chosen is red, we consider that there are now a total of 6 red balls and 7 balls in Urn B. Therefore, the probability is 6/7.
c. To find the probability that the first ball was red given that the second ball is red, we use conditional probability. The probability that both balls are red (12/35) divided by the probability that the second ball is red (6/7) gives us (12/35) / (6/7) = 4/5. Therefore, the probability that the first ball was red given that the second ball is red is 4/5.
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f(x) = logx xlogx 5 is ω(logx). true false
Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).
What is function?A function is a relation between sets that assigns to each element of a first set, exactly one element of the second set. Functions are typically written as an equation, with the first set (the domain) on the left side and the second set (the range) on the right side. The most common type of function is a function from real numbers to real numbers, which is often referred to as a real-valued function. Examples of real-valued functions include linear, polynomial, exponential, and trigonometric functions.
False. F(x) = logx xlogx 5 is not ω(logx). ω(logx) is a notation used to denote a function that grows faster than logx as x approaches infinity. However, F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. To prove this, we can calculate the limit of F(x) as x approaches infinity:
lim F(x) = lim (logx xlogx 5)
= lim (logx xlogx) lim 5
= ∞∞ 5
= ∞
Since the limit of F(x) is infinity, we can conclude that F(x) = logx xlogx 5 grows at the same rate as logx as x approaches infinity. Therefore, F(x) = logx xlogx 5 is not ω(logx).
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I need help guys please
Answer:
24.84
Step-by-step explanation:
a^2 + d^2 =c^2
So c = square root 19^2 + 16^2 = 24.84
Which shows the list below in order from LEAST to GREATEST?
I’ll mark brainlist : )
Answer:
A
Step-by-step explanation:
All you have to do is simplify all of them and put them in order from least to greatest.
Answer:
It is A
Step-by-step explanation:
The negative are suppose to be first s it is A
A. Fill in the boxes :
8 tens + 19 ones = 9 tens +
ones
8 tens + 2 ones = 7 tens +
ones
7 tens + 25 ones = 9 tens +
ones
70 + 11 = 80 +
50 +
= 60 + 3
90 + 13 =
+ 3
Step-by-step explanation:
it's simple:
8 tens + 19ones = 9 tens + 9 ones8 tens + 2 ones =7 tens+12 ones7 tens +25 ones = 9 tens + 5 ones70+11=80+150+13=60+390+13=100+3HELP MEEEEEE PLEASEEEEEEEEEEEEEEE
Answer:
If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM
Step-by-step explanation:
Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.
at 3pm $25
step by step solution
A factory makes 23 fear of rope
per minute. How mary text of rope
will the factory make in 7 minutes,
Answer: 2346
Step-by-step explanation:
4 /5 + 2/ 5 × 1/ 4 pls help
Answer:
Easiest thing on the planet... but maybe it's wrong, wait for other answers lul
Step-by-step explanation:
4/5 + 2/5 = 6/5
6/5 x 1/4 = 6/20 => 3/10
Let the independent and dependent variables of a line be x and y, respectively. Find the equation of the line with the giv description. Slope 3, y-intercept 7 (Use symbolic notation and fractions where needed.) equation:
Therefore, the equation of the line with a slope of 3 and a y-intercept of 7 is y = 3x + 7.
The equation of a line can be written in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given that the slope is 3 and the y-intercept is 7, we can substitute these values into the equation to obtain:
y = 3x + 7
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Define convenience purchases, shopping purchases, and specialty purchases. Describe three specific brand name products in the consumer marketplace today that would correspond to these three types of purchases.
Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.
Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.
Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.
Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.
Three specific brand name products in the consumer marketplace that correspond to these types of purchases are
Convenience Purchase: Coca-Cola (Soft Drink)
Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.
With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.
Shopping Purchase: Apple iPhone (Smartphone)
The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.
The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.
Specialty Purchase: Rolex (Luxury Watches)
Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.
Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.
These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.
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how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
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The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
what structure is indicated by: 10a, 15t, 3g, 7c?
The structure indicated by: 10a, 15t, 3g, 7c? is a structure related to the composition of a DNA or RNA sequence.
The given information "10a, 15t, 3g, 7c" suggests a pattern or structure related to the composition of a DNA or RNA sequence.
In molecular biology, DNA and RNA are made up of nucleotides, which consist of a nitrogenous base (adenine, thymine/uracil, guanine, or cytosine) and a sugar-phosphate backbone.
Based on the provided data, it appears that the numbers preceding each letter indicate the count or frequency of that particular nucleotide in the sequence.
Therefore, the structure indicated by "10a, 15t, 3g, 7c" implies the composition of a DNA or RNA sequence with the following nucleotide counts:
10 adenine (A) nucleotides (abbreviated as 10a)
15 thymine (T) nucleotides (abbreviated as 15t)
3 guanine (G) nucleotides (abbreviated as 3g)
7 cytosine (C) nucleotides (abbreviated as 7c)
Together, these nucleotides make up a portion of the DNA or RNA sequence, indicating the presence and quantity of each base in that particular section.
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