HELP HAVING A BAD DAY
Matt runs in the park every day at the average rate of c meters per minute.
During these 20 minutes, Matt covers 2400 meters. Use this information to write an equation.
Choose the best description of a joint probability.
The panels in a joint probability table include the kind of probabilities, with the exception of the cells on the table's margins, which carry marginal probabilities instead of joint probabilities.
The likelihood that two separate occurrences will occur simultaneously is referred to as a joint probability when there are two or more random variables. A joint probability is the likelihood that event Y will occur at the same time as event X. It is a statistical metric that determines the likelihood of two occurrences occurring simultaneously and at the same moment in time. When two or more random variables are represented as a joint probability distribution in a table, the link between the variables is demonstrated (it uses variables or conditions instead of events). The probabilities included in the cells of the joint probability table are joint probabilities, but the probabilities on the margins are marginal probabilities.
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Polynomial p(x)= x^3 - 7X - 6 has a known factor of ( x+1 ), rewrite P(x) as a product of linear factors
Answer:
(X+1)(x+2)(x-3)
Step-by-step explanation:
(X+1)(x^2-x-6)
(X+1)(x+2)(x-3)
Read the problem. Tamir baked cookies for his mother's birthday. He mixed the cookie batter, scooped it into mounds on a cookie sheet, and then put the cookie sheet in the oven. After 20 minutes in the oven, 15 of the 20 cookies were fully baked. Shade the grid to show the fraction of the cookies that were fully baked after 20 minutes in the oven. What percent of the cookies were fully baked? You can use your model to help.
Answer:
Percentage baked= 75%
Step-by-step explanation:
Giving the following information:
After 20 minutes in the oven, 15 of the 20 cookies were fully baked.
First, the fraction of cookies baked:
Fraction of cookies= 15/20= 3/4
Now, to calculate the percentage, we need to use the following formula:
Percentage baked= (15/20)*100
Percentage baked= 75%
d(n)d, left parenthesis, n, right parenthesis models the duration (in seconds) of the time it took for hailey to run her n^{th}n th n, start superscript, t, h, end superscript lap. nnn 333 777 999 d(n)d(n)d, left parenthesis, n, right parenthesis 858585 999999 110110110
The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.
The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).
Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.
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What is the average rate of change for this quadratic function for the interval
from x=0 to x = 2?
O A. -3
B. -4
O
C.-2
O
D. -6
PREVIOUS
Answer:it’s -2
Step-by-step explanation:
Did on apex lol
1) If you can read 40 pages in 2 hours, how many pages can you read in 5 hours?
es
A) 20
B) 80
C) 100
D) 200
Answer:
C) 100
Step-by-step explanation:
If you can read 40 pages in 2 hours that means you can read 20 pages in 1 hour. therefore in 5 hours you can read 20 times 5 = 100 pages
4 kg metal to 500g of plastic simplest ratio
Answer: 8:1
Step-by-step explanation:
To find the simplest ratio of 4 kg of metal to 500g of plastic, we need to convert both quantities to the same unit of measurement. Let's convert 4 kg to grams:
4 kg = 4000 gNow we have 4000 g of metal and 500 g of plastic. To simplify the ratio, we can divide both quantities by their greatest common factor (GCF), which is 500:
4000 g ÷ 500 = 8500 g ÷ 500 = 1Therefore, the simplest ratio of 4 kg of metal to 500g of plastic is 8:1.
________________________________________________________
The total weight of metal and plastic in the ratio 8:1 is indeed 4.5 kg.
Solution and Explanation:The total weight of metal and plastic is:
\(\large\rm{4\: kg + 0.5\: kg = 4.5\: kg}\)The simplest ratio of metal to plastic is found by dividing both quantities by their greatest common factor.
The greatest common factor of 4 kg and 0.5 kg is 0.5 kg. Dividing both quantities by 0.5 kg gives:
\(\large\rm{Metal:Plastic = 8:1}\)\(\therefore\) The simplest ratio of metal to plastic is 8:1.
To check, we can verify that:
\(\large\rm{\dfrac{8}{9} \cdot 4.5\: kg \approx 4\: kg}\) (for metal)\(\large\rm{\dfrac{1}{9} \cdot 4.5\: kg \approx 0.5\: kg}\) (for plastic)So the total weight of metal and plastic in the ratio 8:1 is indeed 4.5 kg.
\(\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}\)
Problem 1: a) Design a concrete mix for reinforced concrete foundations and tie beams resting on a soil having a high concentration of sulfates. The concrete shall have a slump of 50 mm. A mean compressive strength of 20 MPa is required at the age of 28 days. A coarse aggregate, that meets the ASTM grading requirements with a maximum aggregate size of 20 mm, are to be used. It has absorption of 2%, water content WC of 3%, a BSG (D) of 2.7 and a unit weight of 1480 kg/m". The fine aggregates have absorption of 3%, water content WC 1%, a BSG (D) of 2.5 and a fineness modulus of 2.7. b) What will be the change if the CA has absorption of 4% with the same water content WC of 3%?
To design a concrete mix for reinforced concrete foundations and tie beams resting on a soil with a high concentration of sulfates, we need to consider the required slump, mean compressive strength, aggregate properties, and water content.
a) Based on the given information, here's how we can design the concrete mix:
1. Slump: The concrete mix should have a slump of 50 mm, which indicates the workability of the concrete.
2. Compressive Strength: A mean compressive strength of 20 MPa is required at the age of 28 days. This indicates the strength of the concrete after it has cured for 28 days.
3. Coarse Aggregate: The coarse aggregate should meet the ASTM grading requirements and have a maximum aggregate size of 20 mm. It has an absorption of 2%, water content (WC) of 3%, a bulk specific gravity (BSG) of 2.7, and a unit weight of 1480 kg/m³.
4. Fine Aggregates: The fine aggregates have an absorption of 3%, water content (WC) of 1%, a bulk specific gravity (BSG) of 2.5, and a fineness modulus of 2.7.
To design the concrete mix, we need to calculate the proportions of cement, coarse aggregates, fine aggregates, and water.
b) If the coarse aggregate has an absorption of 4% instead of 2%, while maintaining the same water content (WC) of 3%, the concrete mix would need adjustments to account for the increased absorption.
To design the revised concrete mix, we would need to recalculate the proportions of cement, coarse aggregates, fine aggregates, and water, considering the updated absorption value for the coarse aggregate.
Remember, it's essential to accurately measure and control the proportions of the mix components to achieve the desired strength and workability of the concrete. Additionally, it's crucial to follow any local codes, standards, or guidelines for sulfate-resistant concrete in your region to ensure the durability of the foundations and tie beams.
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pLS HELP ME 15 points in total
Answer:
Its 53 because 1=1 and 2=2
Step-by-step explanation:
a storage tank holds 50,000 gallons of water. what is this volume in cubic meters? 1 gallon =3.785 lt
If a storage tank holds 50,000 gallons of water then its volume is 189.25 cubic meters.
The volume of the storage tank in cubic meters can be calculated by first converting the volume from gallons to liters and then converting from liters to cubic meters.
Step 1: Convert the volume from gallons to liters:
50,000 gallons * 3.785 liters/gallon = 189,250 liters
Step 2: Convert the volume from liters to cubic meters:
189,250 liters * (1 cubic meter/1000 liters) = 189.25 cubic meters
Therefore, the volume of the storage tank is 189.25 cubic meters.
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Please help me !!!!!!
Answer:
KFHDJKGHFGBO
Step-by-step explanation:
a grocery store counts the number of customers who arrive during an hour. the average over a year is 30 customers per hour. assume the arrival of customers follows a poisson distribution. (it usually does.) find the probability that at least one customer arrives in a particular one minute period. round your answer to 3 decimals.
The probability that at least one customer arrives in a particular one-minute period is approximately 0.393, rounded to three decimal places.
To find the probability that at least one customer arrives in a particular one-minute period, we can use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring within a fixed interval of time or space, given the average rate of occurrence.
In this case, we are given that the average number of customers per hour is 30. To convert this to the average number of customers per minute, we divide by 60 since there are 60 minutes in an hour. Therefore, the average number of customers per minute is 30/60 = 0.5.
The probability of no customers arriving in a particular one-minute period can be calculated using the Poisson distribution formula:
P(X = 0) = (e^(-λ) * λ^0) / 0!
Where λ is the average number of customers per minute.
Let's calculate the probability of no customers arriving in one minute:
P(X = 0) = (e^(-0.5) * 0.5^0) / 0!
= (e^(-0.5) * 1) / 1
= e^(-0.5)
Now, to find the probability that at least one customer arrives in one minute, we can subtract the probability of no customers from 1:
P(at least one customer) = 1 - P(X = 0)
= 1 - e^(-0.5)
Using a calculator, we can evaluate this expression to three decimal places:
P(at least one customer) ≈ 1 - e^(-0.5) ≈ 0.393
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ly| ≤3
Are the lines on graph at 3 and -3 also part of the answer?
Answer:
Yes, the lines on the graph at 3 and -3 a part of the solution,
Step-by-step explanation:
The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.
Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.
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What’s the value of X ?
Answer:
x=25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
(2x+2)+(5x+3)=180
Brianna started watching a movie at 2:45 p.m. If the movie is 2 hours and 32 minutes long, when will it be over?
Answer:
It will be over at 5:17 pm
Step-by-step explanation:
2:45 +32 would be 3:17, we add 2 hours it would be 5:17
Answer:
5:17 pm
Step-by-step explanation:
Since Brianna started watching a movie at 2:45 p.m and the movie is 2 hours and 32 minutes long
Thus,
2:45 + 2 and 32 Minutes
2 + 2 = 4
45 + 32 = 77 minutes
1 Hour = 60 Minutes
Thus, 77 - 60 =17
Hence, 4 + 1 = 5
Thus, the movie will be over at 5:17 Pm
~Lenvy~
For a given level of significance, if the sample size increases, the probability of committing a type i error will remain the same. T/F
False, the sample size increases, the probability of committing a type i error will remain the same.
The type I error rate, also known as the level of significance, is set before collecting data and represents the maximum probability of rejecting the null hypothesis when it is actually true. If the sample size increases, the probability of committing a type I error will decrease, given that the level of significance remains the same. This is because as the sample size increases, the standard error decreases and the distribution of the sample mean becomes narrower, making it easier to distinguish between the null hypothesis and the alternative hypothesis.
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You have $370 to spend on a dining room table and chairs. The table you want is $220, and each chair is $35! How many chairs can you buy in addition to the table? Define your variable
Answer:
4 chairs
Step-by-step explanation:
First subtract $220 from $370 and that gives you $150.Then you just keep subtract $35 until that should leave you with $10.
What is 475. 189 475. 189 rounded to the nearest hundredth?
After rounding 475.189 to the nearest hundredth we get 475.19 .
Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.
Rules of rounding a number to its nearest hundredth is,
The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.
If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.
And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.
Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit) by 1 we get 475.19 (to the nearest hundredth).
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A consultant has made two statements about sampling: X
1. An entire set of data from which a sample can be selected for analysis a called a distribution
2. Statistical methods can be applied to a representative sample in both exploratory and confirmatory data analysis
Are these statement accurate?
A. Only state 1 is accurate
B. Only state 2 is accurate
C. Both state are accurate
D. Neither state is accurate
40. FreeFree plc manufacturers maintain computers and Ibrahim is a planner in its Quality Assurance Department.
In terms of Mintzberg's descreprion of organizational structure, to which of FreeFree plc's 'building blocks' does Inbrahim belong?
A. Support staff
B. Middle line
C. Operating core
D. Technostructure
The correct answer for the first question is B.
Only statement 2 is accurate. Statement 1 is incorrect because an entire set of data is typically referred to as a population, not a distribution. A distribution refers to the pattern or spread of data within a population or sample.
For the second question, Ibrahim, as a planner in the Quality Assurance Department of Free Free plc, would belong to the operating core building block. Mintzberg's organizational structure theory defines the operating core as the individuals directly involved in producing the organization's products or services. Since Ibrahim is part of the Quality Assurance Department, which is responsible for ensuring the quality of the products, he falls under the operating core category. The support staff typically includes administrative or auxiliary personnel, the middle line refers to managers responsible for coordinating and overseeing different departments, and the technostructure consists of individuals who specialize in analytical and support functions related to the organization's operations.
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The article "Should You Report That Fender-Bender?" (Consumer Reports, Sept. 2013: 15) reported that 7 in 10 auto accidents involve a single vehicle (the article recommended always reporting to the insurance company an accident involving multiple vehicles). Suppose 15 accidents are randomly selected. Use Appendix Table A.1 to answer each of the following questions. a. What is the probability that at most 4 involve a single vehicle?b. What is the probability that exactly 4 involve a single vehicle? c. What is the probability that exactly 6 involve multiple vehicles?d. What is the probability that between 2 and 4, inclusive, involve a single vehicle?
This problem involves a binomial distribution, where the probability of success (an accident involving a single vehicle) is p = 0.7, and the number of trials (accidents) is n = 15. We can use Appendix Table A.1 to look up the probabilities we need.
a. To find the probability that at most 4 accidents involve a single vehicle, we need to calculate the cumulative probability of 0, 1, 2, 3, or 4 successes:
P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
Using the binomial probability formula, we get:
P(X ≤ 4) = C(15, 0) * (0.7)^0 * (1 - 0.7)^(15-0) + C(15, 1) * (0.7)^1 * (1 - 0.7)^(15-1) + C(15, 2) * (0.7)^2 * (1 - 0.7)^(15-2) + C(15, 3) * (0.7)^3 * (1 - 0.7)^(15-3) + C(15, 4) * (0.7)^4 * (1 - 0.7)^(15-4)
Using Table A.1, we can look up each term:
P(X ≤ 4) = 0.000 + 0.001 + 0.014 + 0.079 + 0.234
P(X ≤ 4) = 0.328
Therefore, the probability that at most 4 accidents involve a single vehicle is 0.328.
b. To find the probability that exactly 4 accidents involve a single vehicle, we simply plug in X = 4 into the binomial probability formula:
P(X = 4) = C(15, 4) * (0.7)^4 * (1 - 0.7)^(15-4)
Using Table A.1, we can look up this value:
P(X = 4) = 0.234
Therefore, the probability that exactly 4 accidents involve a single vehicle is 0.234.
c. To find the probability that exactly 6 accidents involve multiple vehicles, we need to calculate the probability of 6 successes and 9 failures:
P(X = 6) = C(15, 6) * (0.3)^6 * (1 - 0.3)^(15-6)
Using Table A.1, we can look up this value:
P(X = 6) = 0.171
Therefore, the probability that exactly 6 accidents involve multiple vehicles is 0.171.
d. To find the probability that between 2 and 4, inclusive, involve a single vehicle, we need to calculate the cumulative probability of 2, 3, and 4 successes:
P(2 ≤ X ≤ 4) = P(X = 2) + P(X = 3) + P(X = 4)
Using the binomial probability formula, we get:
P(2 ≤ X ≤ 4) = C(15, 2) * (0.7)^2 * (1 - 0.7)^(15-2) + C(15, 3) * (0.7)^3 * (1 - 0.7)^(15-3) + C(15, 4) * (0.7)^4 * (1 - 0.7)
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Which is the pattern for factoring the difference of squares?
a. (x^2-y)^2
b. (x+y)(x+y)
c. (x-y)(x-y)
d. 2(x-y)
Answer:
D. 2(x-y)Step-by-step explanation:
d.
\(2(x - y) \\ 2x - 2y \\ \)
please help i dont know what im doing
Answer:
87-5x Gespil=13+8x
Step-by-step explanation:
dubble started with 87, so we but 87 as the y-intercept. Every month he LOSES elentires, therefore minus. The months are represented by x, because we don’t know how many have passed. Same thing for Gespil except it increases for her.
if possible could i maybe get brainilest???? if i cant then its okay.
1
The graph shows an image of a dilation about the origin with a scale factor of 2.
-10-8-6-4-
2
40
1
What are the coordinates of the pre-image of A', point A?
(-8,-12)
01
8 10 X
As a result, the answer to the provided coordinate plane problem is only choice C), which is the right answer.
What is a coordinate plane?The term "coordinate plane" refers to a two-dimensional region that consists of two number lines. It emerges when the X-axis & Y-axis intersect at a location known as the origin. Using the numbers on a coordinate grid, one can locate points.
Here,
Since, If there is a coordinate plane with both parallel lines, go with option A.
Therefore, there is no cure.
There are hence a finite number of solutions that could be found.
If two lines cross, there is only one potential result for Option B. Consequently, the quantity of potential solutions is.
According to Option C, there must be an endless number of solutions to the system because there are two coinciding lines that provide us an infinite number of junction sites.
The difference between Option D) and Option B) is noted.
Only choice C) is hence the proper one.
Therefore , the solution to the given problem of coordinate plane comes out to be Only choice C) is hence the correct one.
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Given that the roots of the equation x^2-8x+k=0 satisfy 3x_1+4x_2=29, Find K
Answer:
The answer is: K = 14.
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.
Nelson went grocery shopping. He spent $199.89. If the sales tax is 3.5%, what is the amount of tax that Nelson must pay?
3.5% of 199.89 is 6.99615, so the amount of tax that Nelson has to pay is $6.99615. Though we can round the thousandths place for the cost to be $7.
In developing patient appointment schedules , a medical centre wants to estimate the mean time that a staff member spends with each patient. How large a sample should be taken if the desired margin of error is 2 minutes at a 95 per cent level of confidence? How large a sample should be taken for a 99 per cent level of confidence ? Use a planning value for the population standard deviation of 8 minutes.
A. A sample size of 62 should be taken for a 95% level of confidence.
B. The sample size of 107 should be taken for a 99% level of confidence.
a. To estimate the sample size needed to estimate the mean time a staff member spends with each patient, we can use the formula for sample size calculation:
n = (Z^2 * σ^2) / E^2
Where:
n = required sample size
Z = Z-score corresponding to the desired level of confidence
σ = population standard deviation
E = desired margin of error
For a 95% level of confidence:
Z = 1.96 (corresponding to a 95% confidence level)
E = 2 minutes
σ = 8 minutes (population standard deviation)
Substituting these values into the formula:
n = (1.96^2 * 8^2) / 2^2
n = (3.8416 * 64) / 4
n = 245.9904 / 4
n ≈ 61.4976
Since we can't have a fraction of a sample, we round up the sample size to the nearest whole number. Therefore, a sample size of 62 should be taken for a 95% level of confidence.
b. For a 99% level of confidence:
Z = 2.58 (corresponding to a 99% confidence level)
E = 2 minutes
σ = 8 minutes (population standard deviation)
Substituting these values into the formula:
n = (2.58^2 * 8^2) / 2^2
n = (6.6564 * 64) / 4
n = 426.0096 / 4
n ≈ 106.5024
Rounding up the sample size to the nearest whole number, a sample size of 107 should be taken for a 99% level of confidence.
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a poll of 350 americans was used to estimate that 54% /- 4.382% of american adults don't think that human beings developed from earlier species. what was the confidence level used for the margin of error?
The confidence level used for the margin of error was 95%.
The margin of error (MOE) is calculated by dividing the critical value (z*) of the confidence level by the square root of the sample size (n). For a 95% confidence level, the critical value (z*) is 1.96. MOE = 1.96 / sqrt(350) = 4.382% Therefore, the confidence level used for the margin of error was 95%. To calculate the margin of error, we must first determine the confidence level. For a 95% confidence level, the critical value (z*) is 1.96. The margin of error (MOE) is then calculated by dividing the critical value (z*) by the square root of the sample size (n). In this case, the MOE is 1.96 / sqrt(350) = 4.382%. This means that the confidence level used for the margin of error was 95%.
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Points W, K, and are collinear.
Line CA and line YK intersect at .
Point is not contained on line m.
Answer:
1) J, k and w
2)Y
3) ONE
Step-by-step explanation:
The three collinear points on line m are
✔ J, K, and W
.
Point
✔ Y
is not on line m.
✔ One
line(s) could be drawn through points P and X.
Answer:bcd
Step-by-step explanation: