Answer:
12
Step-by-step explanation:
Determine the value of c such that f(x,y) = c(x 2y), x = 1, 2
The value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x, y) = c(x+2y),
x = 1, 2 and y =1, 2, 3
f(1, 1) = C(1 + 2) = 3C
f(1, 2) = C(1 + 4) = 5C
f(1, 3) = C(1 + 6) = 7C
f(2, 1) = C(2 + 2) = 4C
f(2, 2) = C(2+ 4) = 6C
f(2, 3) = C(2 + 6) = 8C
We know the sum of the all probability is 1
3C+5C+7C+4C+6C+8C=1
33C =1
C = 0.03030
Thus, the value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
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how do you show a number with a decimal side repeating like 23.3333333333…
i’m slow mb guys i didn’t pay attention in 6th grade so 7th and 8th have been
Answer:
You can write 23.3 with a dot on the three after the decimal point
The population of a small town can be modeled by the equation where t is the number of years since the collection of the population data began.
Which statement is true?
The true statements is the population was 4800 when the collection of data began. (3rd option)
What is an exponential function?An exponential equation can be described as an equation with exponents. The exponent is usually a variable.
The general form of exponential equation is f(x) = \(e^{x}\)
Where:
x = the variable e = constantWhen a population grows at an exponential rate, it usually has compound rate of growth. Compound growth refers to the geometric progression of a variable.
The exponential equation used to represent an exponential growth usually have this form:
FV = PV (1 + r)^n
Where:
FV = future population PV = present population r = rate of growth n = number of yearsGiven this exponential equation : f(x) = 4800 (1.02)^t
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Why are Fortune 500 companies engaging, in blogging? What sources capital for a project by raising many small amounts from a large number of individuals, typically via the Internet?
A popular way for people to share information and thoughts with others online is through blogging.
A blog is a conversation or informational website published on the World Wide Web that is composed of discrete, frequently informal diary-style text posts, according to the definition of a blog provided by Wikipedia.
This has given rise to a brand-new trend where everyone may now voice their opinions on a given subject.
Other phenomena and artefacts, such as analogue signals, poetry, photographs, music, or other sounds, as well as electrical currents, transmit information in a more continuous manner than do digital signals and other data, which employ discrete signs or algebras to do so.
Information itself is not knowledge, but how it is interpreted is crucial. Raw information can also take the shape of structured data. A collection of data may contain information that may be extracted through analysis by analysts who are experts in their field.
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Alguien por favor ayuda es para hoy ¿Cuál es la velocidad a la que debe viajar un
vehículo que se mueve con un M.R.U, para
recorrer 6500km en 13h?
Answer:
Speed of vehicle = 500 km/hour
Step-by-step explanation:
Given that:
Distance travel by vehicle = 6,500 km
Time taken by vehicle = 13 hour
Find:
Speed of vehicle in kilometer per hour
Computation:
Speed = Distance / Time
Speed of vehicle = Distance travel by vehicle / Time taken by vehicle
Speed of vehicle = 6,500 / 13
Speed of vehicle = 500 kilometer per hour
Danny and his cousin Olivia are picking apples in their grandparents' orchard. Danny has filled 11 baskets with apples and is filling them at a rate of 5 baskets per hour. Olivia has 12 full baskets and will continue picking at 4 baskets per hour. Once the cousins get to the point where they have filled the same number of baskets, they will carry them to the barn and then eat lunch. How much fruit will they have picked by then? How long will that take? Olivia and Danny have each filled ? baskets in ? hour(s)
Answer:
We can start solving this problem by using the rate of work formula:
Work = rate x time
We can use this formula to find the time it takes for Danny and Olivia to fill the same number of baskets.
Let's say that the number of baskets they will fill before lunch is "n".
We know that Danny is filling baskets at a rate of 5 baskets per hour and Olivia is filling baskets at a rate of 4 baskets per hour. So, we can write the following equation:
n = 5t + 11 (Danny's work)
n = 4t + 12 (Olivia's work)
We can set the two equations equal to each other and solve for t:
5t + 11 = 4t + 12
t = 1
So, it will take them 1 hour to fill the same number of baskets.
Now that we know the time it takes for them to fill the same number of baskets, we can use that information to find the number of baskets they will have filled by then.
We know that Danny is filling baskets at a rate of 5 per hour and has already filled 11 baskets, so we can use the work formula to find the number of baskets he will have filled by then:
Work = rate x
Hope this helps!
Please can someone help.
Answer:
Step-by-step explanation:
Challenge # 1
Line has a negative slope with positive slope.
Therefore, equation will be,
y = 1.5x - 6
Parallel line to the given line will have same slope = 1.5 but with different y-intercept.
Equation of the parallel line → y = 1.5x + 6
Challenge # 2
Line has a negative y-intercept = -1 (Approx.)
Slope of the line = negative
Therefore, equation of the line will be,
y = -3.7x -1
Line parallel to the given line will have same slope but different y-intercept.
Equation of the parallel line → y = -3.7x + 1
Challenge # 3
Line with negative slope and no y-intercept.
y = -0.8x
Parallel line to the given line will have same slope and different y-intercept.
Equation of the parallel line → y = -0.8x + 1
Challenge # 4
Line in the graph has positive slope and negative y-intercept.
y = -5 + 4.2x
Line parallel to the given line will have same slope but different y-intercept.
Equation of the parallel line → y = - 7 + 4.2x
Students voted to have a guinea pig or a hamster qs a class pet. Of thise students, 18 voted to have a guinea pig. This number represents 72% of the students who voted. What is the toatal number of students who voted
Answer:
The total number of students that voted is 25.
Step-by-step explanation:
18 students = 72% of the students who voted
Divide the percentage of students by 100.
72% ÷ 100 = 0.72%
Then, divide 18 by 0.72%.
18 ÷ 0.72% = 25
So, the total number of students that voted is 25 students.
Hope this helped !
5. Look at the shaded products. What pattern do you see?
Answer:
8+6+4
Step-by-step explanation:
Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 227.5 miles in 3.5 hours?
Answer: 35 mile/hour
Step-by-step explanation:
\(r=\frac{d}{t}\)
∴ \(r=\frac{227.5}{3.5}=65\)
= 65 mile/hour
a die is tossed 20 times. The results are shown in the frequency table below.
Find the experimental probablity of landing on 3.
Answer:
Step-by-step explanation:
experimental probability is
number of times 3 appeared / number of tooses you experimented
\(P_{3} = \frac{1}{6}\)
Can someone please help?!
Calculate cos0 to two decimal places. 7 8 Xà A. 0.69 B. -0.14 C. -0.42 OD. -0.07
Correct answer: -0.07
Answer:
D. -0.07 to nearest hundredth.
Step-by-step explanation:
Applying the Cosine Rule:
11^2 = 7^2 + 8^2 - 2*7*8 cos O
cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)
= 8/-112
= -0.07143.
For a distribution that is symmetric the left whisker is.
For a symmetric distribution, the left whisker extends from the median to the minimum value in the dataset.
The left whisker represents the lower values or the lower tail of the distribution. It is also referred to as the "lower whisker" or the "whisker on the left side". The length of the left whisker may vary depending on the spread or range of the data.
In a box plot or box-and-whisker plot, the left whisker represents the lower values or the lower tail of the distribution. It indicates the range of values that lie below the median. The length of the left whisker is determined by the spread or range of the data.
If the data has a smaller range and is more tightly clustered around the median, the left whisker will be shorter. This indicates that the lower values in the dataset are relatively close to the median. On the other hand, if the data has a larger range and is more spread out, the left whisker will be longer. This suggests that the lower values in the dataset are more dispersed or spread out from the median.
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two lines that have slopes of 3/2 and -3/2 are parallel true or false
Answer: True, if it is on a coordinate grid.
Step-by-step explanation:
A Sprinkler system is designed to water 0.6 hectare of land in 1/4 hour. How many hectares of land can it water in 1 hour
The sprinkler system can water 2.4 hectares of land in 1 hour.
To find out how many hectares of land the sprinkler system can water in 1 hour, we need to use the unit rate of land watered per time. Since the system waters 0.6 hectares in 1/4 hour, we can set up a proportion:
0.6 hectares / 1/4 hour = x hectares / 1 hour
To solve for x, we can cross-multiply:
0.6 hectares * 4 = x hectares * 1
2.4 hectares = x
Therefore, the sprinkler system can water 2.4 hectares of land in 1 hour.
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sarah starts investing in an individual retirement account (ira) at the age of 30 and earns 10 percent for 35 years. at age 65, she will get less returns as compared to those returns if she:
If sarah starts investing in an individual retirement account (ira) at the age of 30 and earns 10 percent for 35 years. she will get less returns as compared to those returns if she: b. Invests up to the age of 60.
What is investment?Sarah would have a shorter investment term if she stopped investing at 60 rather than continuing until age 65. The ultimate returns may be significantly impacted by the additional five years of contributions and investment growth.
Sarah would lose out on the potential growth and compounding that may take place during those five years if she stopped investing at the age of 60.
Therefore the correct option is b.
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The complete question:
Sarah starts investing in an individual retirement account (IRA) at the age of 30 and earns 10% for 35 years. At 65, she will get less returns as compared to those returns if she:
Invests at 12 percent.
Starts investing at the age of 25.
Invests up to the age of 60.
Earns 10% for 5 years and then 12% for 30 years.
Invests for 45 years.
Instead of having a cake, Paul wants to make ice cream sundaes at his next birthday party. He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party. How many 1-gallon tubs of ice cream should he buy?
Answer:
8
Step-by-step explanation:
24÷2=16×1=16÷2=8
am not sure I think the answer is also 16 so look at other people answer
Paul should buy 3 gallons
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
Thus, unit price of something is price of 1 thing.
Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 people, multiply 24 by 2 to get the number of cups.
24 x 2 = 48.
Then, divide that by 16 (the number of cups in a gallon) to how many gallons.
48 ÷ 16 = 3
Therefore, he needs 3 gallons.
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find the equation of a line that has no slope and passes through the point (-2,0). with no slope
The equation of the line with no slope that passes through the point (-2, 0) is x = -2.
A line with no slope is a vertical line. A vertical line is parallel to the y-axis and has the equation x = c, where c is a constant. In this case, we need to find the equation of a vertical line that passes through the point (-2, 0).
Since the line is vertical, its x-coordinate remains constant for all y-values. In this case, the x-coordinate is -2. Therefore, the equation of the line is x = -2.
The equation x = -2 represents a vertical line passing through the point (-2, 0). It means that for any value of y, the corresponding x-value is always -2. In other words, the line is a vertical line that intersects the x-axis at x = -2 and extends infinitely in the positive and negative y-directions.
The slope of a vertical line is undefined because it does not change in the x-direction. A vertical line only has a y-intercept, which in this case is (0, -2). The line is perpendicular to the x-axis and does not have a slope.
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four percent of the customers of a mortgage company default on their payments. a sample of 20 customers is selected. what is the probability that exactly two customers in the sample will default on their payments?
Using the Binomial probability distribution,
The probability that exactly two customers in the sample will default on their payments is 0.31..
We have given that,
4% of total customers a mortgage company default on their payments .
The probability of success i.e number of customers default on their payments (p) = 4%
= 0.04
The probability of failure (q) = 1-p = 1-0.04 = 0.06
Total number of customers in sample (n) = 20
we have to find out the probability that exactly two customers in the sample will default on their payments.
Using the Binomial probability distribution,
P(X=x)= ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾
the required probability is P(X= 2 )
Now, P(X= 2) = ²⁰C₂(0.04)²(0.06)¹⁸
=> P(X=2) = 190 × 0.0016 × 1.0155 = 0.31
Hence, the required probability is 0.31
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What are the solutions of this quadratic equation?
6x^2+6=12x+18
Simplify:
4+(15-4)x6
Answer:
The answer is 70
Step-by-step explanation:
First, you do parentheses, 15-4, which is 11. According to PEMDAS, multiplication comes before addition so you do 11 x 6, which is 66. Finally, add 4 to 66, and you get the answer of 70.
ZD, ZE, and ZF are the perpendicular bisectors of ABC. Use that information to find the length of each segment. Not that the figure is not drawn to scale.
Given:
ZD=44
ZA=87
FC=75
Find: ZC and AC
Answer:
ZC = 87, AC = 150Step-by-step explanation:
Attached screenshot, for some reason can't save as answer
Select all of the number of ways in which a line
and a circle can intersect.
Answer:
0, 1, 2
Step-by-step explanation:
Hi there!
0
It is possible for a line and a circle to not intersect at all.
1
It is also possible for a line and a circle to meet at one point only. They would be tangent to each other and touch.
2
Finally, it is possible for a line to intersect the circle. They would appear overlapping. In any of these cases where a line intersects a circle, they would have crossed the circle at two points.
3
A line and a circle can only have a total number of 2 intersection points.
I hope this helps!
What is the difference between a discrete
probability distribution and a continuous
probability distribution?
Give your own example of each. What is the
expected value, and what does it measure?
How is it computed for a discrete probability
distribution?
A discrete probability distribution is a statistical distribution that relates to a set of outcomes that can take on a countable number of values, whereas a continuous probability distribution is one that can take on any value within a given range.Therefore, the main difference between the two types of distributions is the type of outcomes that they apply to.
An example of a discrete probability distribution is the probability of getting a particular number when a dice is rolled. The possible outcomes are only the numbers one through six, and each outcome has an equal probability of 1/6. Another example is the probability of getting a certain number of heads when a coin is flipped several times.
On the other hand, an example of a continuous probability distribution is the distribution of heights of students in a school. Here, the range of heights is continuous, and it can take on any value within a given range.
The expected value of a probability distribution measures the central tendency or average of the distribution. In other words, it is the long-term average of the outcome that would be observed if the experiment was repeated many times.
For a discrete probability distribution, the expected value is computed by multiplying each outcome by its probability and then adding the results. In mathematical terms, this can be written as E(x) = Σ(xP(x)), where E(x) is the expected value, x is the possible outcome, and P(x) is the probability of that outcome.
For example, consider the probability distribution of the number of heads when a coin is flipped three times. The possible outcomes are 0, 1, 2, and 3 heads, with probabilities of 1/8, 3/8, 3/8, and 1/8, respectively. The expected value can be computed as E(x) = (0*1/8) + (1*3/8) + (2*3/8) + (3*1/8) = 1.5.
Therefore, the expected value of the distribution is 1.5, which means that if the experiment of flipping a coin three times is repeated many times, the long-term average number of heads observed will be 1.5.
Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 what is the sample mean?
The sample mean of the weights at the birth of the randomly chosen infants is 7.6 pounds.
Given: The sample of seven infants was selected randomly and the weights are: {9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6} (in pounds)
What is a sample?
A sample can be defined as a part of something big or a whole. It can be some of the elements from a given set of elements.
For example: Let us consider the set of natural numbers. The set of natural numbers has an infinite number of elements in it. We choose some numbers from the set, say {2, 7, 9, 10, 99, 200, 234}. These chosen numbers are known as samples from the set of natural numbers.
What is the sample mean?
The sample mean is the average value of the samples or it is the mean of all the elements which exist in the given sample.
The sample mean is denoted by x⁻ which is pronounced as x bar.
The formula to calculate sample mean (x⁻) is:
Sample Mean (x⁻) = Summation of all the elements in the sample / Total number of elements in the sample.
x⁻ = ∑xₙ / n
where,
∑xₙ = Summation of all the elements in the sample
n = Total number of elements in the sample
x⁻ = Sample mean
Now let's solve the given question:
The given sample is {9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6}
The summation of the elements in the sample is:
∑xₙ = 9.0 + 7.3 + 6.0 + 8.8 + 6.8 + 8.4 + 6.6
∑xₙ = 52.9
The total number of elements in the sample is:
n = 7
Therefore, the sample mean (x⁻) is:
x⁻ = ∑xₙ / n
x⁻ = 52.9 / 7
x⁻ = 7.5571 ≈ 7.6
Hence the sample mean of the weights at the birth of the randomly chosen infants is 7.6 pounds.
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Disclaimer: The question is incomplete. The complete question is mentioned below:
Question: A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the sample mean?
In a lottery, the top cash prize was $693 million, going to three lucky winners. Players pick five different numbers from 1 to 51
and one number from 1 to 42. -
A player wins a minimum award of $400 by correctly matching four numbers drawn from the white balls (1 through 51) and
matching the number on the gold ball (1 through 42). What is the probability of winning the minimum award?
The probability of winning the minimum award is.
(Type an integer or a simplified fraction.)
Answer:
1/237.12.
Step-by-step explanation:
The probability of winning the minimum award can be calculated by multiplying the probability of picking 4 numbers correctly from 1 to 51 and then multiplying by the probability of picking 1 number correctly from 1 to 42.
The probability of picking 4 numbers correctly from 1 to 51 is given by the formula:
(number of combinations of 4 numbers from 51) / (number of combinations of 5 numbers from 51)
= (51 choose 4) / (51 choose 5)
= 51! / (4! * 47!) / (51! / (5! * 46!))
= (51 * 50 * 49 * 48) / (5 * 4 * 47 * 46)
= 19600 / 10,946
= 1/5.6 approximately
The probability of picking 1 number correctly from 1 to 42 is given by the formula:
1/42
The final probability of winning the minimum award is given by multiplying the above two probabilities:
1/5.6 * 1/42 = 1/237.12
So, the probability of winning the minimum award is approximately 1/237.12.
Please help me!!! It would really help
Answer:
D'(25, 0)
Step-by-step explanation:
Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.
(x, y) ⇒ (5x, 5y)
D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)
50 is 8% of what number?