The estimated range of the BOD rate constant (k) in base e, using the Thomas Graphical Method, is approximately 0.175-0.210/day based on the given data.
The Thomas Graphical Method is used to estimate the range of the BOD rate constant (k) based on the given data. BOD stands for Biological Oxygen Demand, which measures the amount of dissolved oxygen needed by microorganisms to break down organic matter in water.
To estimate the range of k, we plot the BOD values against time on a graph. From the given data, we have:
Time (day) BOD (mg/L)
2 120
5 210
10 262
20 279
35 280
By plotting these points on a graph, we can see the general trend of BOD decreasing over time. The range of k can be estimated by drawing a line that best fits the data points.
Based on the graph, the range of k in base e is approximately 0.175-0.210/day. This means that the BOD rate constant falls within this range for the given data.
Remember, the Thomas Graphical Method provides an estimation, and the actual value of k may vary. The graph is essential for visualizing the trend and estimating the range.
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75 percent of what is 105
which of the sentence is true?
Answer:
The graph of the circle is not a function
identify an accurate statement about inferential statistics.
Inferential statistics helps to make conclusions or provide information about the data. From the sampling data , using inferential statistics can conclude how a population think.
It is used to give the estimates about the large group and give information about data based on the hypothesis. Hypothesis is used to find the relationship between variables and it uses the data to make the comparisons of population.
Correlation and Comparison are two other tests available other than Hypothesis testing Comparison testing is used in discrete statistics. Estimating parameters and Hypothesis tests are two main areas in inferential statistics.
Estimating parameters tells about the population using a statistic from the sample data. Hypothesis data helps to answer question in research using sample data.
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a report of the national center for health statistics says that the height of a 20-year-old man chosen at random is a random variable h with mean 5.8 feet and standard deviation 0.24 feet. find the mean and standard deviation of the height j of a randomly selected 20-year-old man in inches. there are 12 inches in a foot.
The required mean and standard deviation of height J is 69.6 inches and 2.88 inches.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
here,
1 foot = 12 inches,
Mean = 5.8 feet
Mean = 5.8 (12 inches)
mean = 69.6 inches,
Now,
Standard deviation = 0.24 (feet)
Standard deviation = 0.24 (12 inches)
Standard deviation = 2.88 inches
Thus, the required mean and standard deviation of height J is 69.6 inches and 2.88 inches.
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Jump to level 1 Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 3 inches. The heights of 6 randomly selected students are 63, 72, 65, 73, 60 and 62. ≈ = 65.5 # Margin of error at 99% confidence level = Ex: 1.23 99% confidence interval [Ex: 12.34 Ex: 12.34] - [smaller value, larger value] Check Try again 18 Feedback?
The required answer is [61.77, 69.23].
Given: Mean height of all 9th grade students at one high school is estimated as ≈65.5 Population standard deviation is σ = 3 inches. Number of samples n = 6Margin of error at 99% confidence level = 1.23Margin of error = E = z(σ/√n)Now, z = inv Norm(0.995) (as it is 99% confidence interval, α=0.01 and 1-α=0.99)⇒ inv Norm(0.995) = 2.58∴ E = 2.58(3/√6) = 3.73∴ The margin of error at the 99% confidence level is 3.73 inches .
Confidence interval = [sample mean - E, sample mean + E]=[65.5 - 3.73, 65.5 + 3.73] = [61.77, 69.23]
∴ The 99% confidence interval for the population mean height of all 9th-grade students at that high school is [61.77, 69.23].
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The Sum if two numbers is 54. The difference of the two numbers is 116. Find the numbers
Answer:
the numbers are 85 and -31.
Step-by-step explanation:
first, let the numbers be x and y.
so by question we have,
x+y=54.......(I)
x-y=116......(I I)
now, solve it through elimination method,
x+y=54
x-y=116
here, y and y cancelled out and we get,
or, x+x=54+116
or, 2x=170
or, x=170/2
therefore, x=85
now put value of x in any equation. let's put in eqn (I), we get,
or, x+y=54
or,85+y=54
or, y=54-85
so, y= -31
therefore, the numbers are 85 and - 31.
2b x b
is this answer only 2b ^ 2 or is there any other answer without using exponentiation
The answer to the expression 2b x b is simply 2b^2. Exponentiation is a mathematical operation that raises a number to a power, and in this case, b is raised to the power of 2.
Alternatively, if exponentiation is not allowed, the answer to the expression is simply 2b * b, which can be simplified to 2b^2 as well.
So, the answer to the expression 2b x b is 2b^2, regardless of whether or not exponentiation is used.
The expression 2b x b represents the product of two scalars, 2 and b, multiplied by a scalar b.
The expression could represent a variety of quantities in mathematics and science, including the area of a rectangle, the volume of a cube, or the kinetic energy of an object, among others.
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A good way to avoid bias when collecting samples is to ___.
Probably the most effective method researchers use to prevent sampling bias is through simple random sampling where samples are selected strictly by chance.
1. Using the right triangle above, fill in the correct ratios for each trigonometric function. (do not simplify) numbers on the triangle: 77, 85, 36 (there is a right angle)
Answer:
Below in bold.
Step-by-step explanation:
sin S = opposite side / hypotenuse = 77/85
cos S = adjacent side / hypotenuse = 36/85
tan S = opposite side / adjacent side = 77/36.
Answer:
see explanation
Step-by-step explanation:
sin S = \(\frac{opposite}{hypotenuse}\) = \(\frac{TU}{TS}\) = \(\frac{77}{85}\)
cos S = \(\frac{adjacent}{hypotenuse}\) = \(\frac{SU}{TS}\) = \(\frac{36}{85}\)
tan S = \(\frac{opposite}{adjacent}\) = \(\frac{TU}{SU}\) = \(\frac{77}{36}\)
Neil is going to a bookstore 45 miles away. The bridge was closed on the way back, so
he had to take an alternate route and had to drive 15 mph slower, which make the trip
back take 7 minutes longer. How fast was he going on the way to the bookstore?
Use with problems 11 and 12. Round to the nearest hundredth place.
C-3,1)
D(0, -6)
Answer:
Step-by-step explanation:
Not sure..
Student A can solve 75% of problems, student B can solve 70%. What is the probability that A or B can solve a problem chosen at random?
The probability that student A or B can solve a problem chosen at random is 0.95.
Probability is calculated by dividing the number of favourable outcomes by the number of possible outcomes.
Random: An event is referred to as random when it is not possible to predict it with certainty. The probability that either student A or B will be able to solve a problem chosen at random can be calculated as follows:
P(A or B) = P(A) + P(B) - P(A and B) where: P(A) = probability of A solving a problem = 0.75, P(B) = probability of B solving a problem = 0.7, P(A and B) = probability of both A and B solving a problem. Since A and B are independent, the probability of both solving the problem is:
P(A and B) = P(A) x P(B) = 0.75 x 0.7 = 0.525
Now, using the above formula: P(A or B) = P(A) + P(B) - P(A and B) = 0.75 + 0.7 - 0.525 = 0.925
Therefore, the probability that student A or B can solve a problem chosen at random is 0.95 (or 95%).
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Two weeks ago the cost to fly was 210 now it is 300 what is the percent increase. What would be the percent increase if the airline added a $50 baggage fee
Answer:
42.86% and 61.91%
Step-by-step explanation:
90/210=9/21=42.86%
130/210=13/21=61.91%
pls explain the answer
Answer:
-2x+1
Step-by-step explanation:
Please show all of your work.
Evaluate ∫∫s (x^2z + y^2z)dS where S is part of the plane z = 4 + x + y that lies inside the cylinder x^2 + y^2 = 4. [Include a diagram of the surface.] Evaluate ∫∫s F.dS where F(x,y,z) = (x^2,xy,z) and S is the part of the paraboloid z = x^2+y^2 below the plane z=1 with upward orientation. [Include diagram of the surface.] Use Stake's Theorem to evaluate ∫s F.dr where F(x,y,z) =< xy, 2z, 3y > C is the curve of the intersection of the plane z+x=5 and the cylinder x^2 = v^2 = 9. Note that C is oriented counterclockwise as viewed from above. Use the Divergence Theorem to evaluate ∫∫s F.dS where F(x,y,z) =< x^3,y^3,z^3 > and S is the surface of the solid bounded by the cylinder x^2 + y^2 = 1 and the planes z=0 and z=2 [include Diagram of the surface]
By evaluating integral ∫∫s (x^2z + y^2z)dS using the Divergence Theorem we get ∫∫s (x^2z + y^2z)dS = ∫(-2,2) ∫(0,2π) [(u^2cos^2(v) + u^2sin^2(v))(16-u^2)/(u+v)](16-u^2)/(u+v)√2 dudv.
Now, let us evaluate the given integrals one by one: 1. Evaluate ∫∫s (x^2z + y^2z)dS where S is part of the plane z = 4 + x + y that lies inside the cylinder x^2 + y^2 = 4. We know that the equation of the plane is z = 4 + x + y. Let us rearrange it in the form of x + y - z = -4. The equation of the cylinder is x^2 + y^2 = 4.
Therefore, the equation of the given surface can be written as x^2 + y^2 + (x+y+4)z = 16. To evaluate the given integral, we need to find the normal vector to the surface. Since the equation of the surface is in the form of ax + by + cz = d, the normal vector is given by the coefficients of x, y, and z. Therefore, the normal vector is <2x + 2y, 2x + 2y, -16>.
Using the parametric form of the surface, we get:r(u, v) = dS = ||r_u × r_v|| dudv = ||<-sin(v)(16-u^2)/(u+v)^2, cos(v)(16-u^2)/(u+v)^2, u>|| dudv = (16-u^2)/(u+v)√2 dudv
Integrating over the region S, we get:∫∫s (x^2z + y^2z)dS = ∫(-2,2) ∫(0,2π) [(u^2cos^2(v) + u^2sin^2(v))(16-u^2)/(u+v)](16-u^2)/(u+v)√2 dudv
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Find the Value of -3/7 ÷ 4
please answer fast
Answer:
Step-by-step explanation:
Find the smallest value of n such that the LCM of n and 15 is 45
Answer:
n=9
Step-by-step explanation:
LCM(n,15)=45
LCM(9,15)=45
A store pays $3 for a magazine. The markup is 5%.
Answer/Step-by-step explanation:
Given;
A store pays $3 for a magazine.
The markup is 5%.
Solve:
$3 × 5% = 0.15 [Markup Price]
$3 + 0.15 = $3.15 [Final Price]
Hence, the total is $3.15.
~Learn with Lenvy~
show the dumb work plss
-9 + 3(-5x + 7) = -33
Answer:
x = 3
Step-by-step explanation:
-9 + 3(-5x + 7) = -33
-9 - 15x + 21 = -33
- 15x + 12 = -33
-12 = -12
-15x = -45
/-15 /-15
x = 3
Answer:
x = 3
Step-by-step explanation:
-9+3(-5x+7)=-33
-9-15x+21=-33
12-15x=-33
-15x=-45
x= 3
What is the probability that a randomly chosen college student exercises in the morning or afternoon? 0. 37 0. 39 0. 62 0. 76.
The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76
We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.
To find : The probability that a randomly chosen college student exercises in the morning or afternoon
P(M) = 0.25+0.37 = 0.62
P(A) = 0.14+0.37 = 0.51
P(M and A) = 0.37
Now,
P(M or A) = P(M) + P(A) - P(M and A)
= 0.62 + 0.51 - 0.37
= 0.76
Hence, Option last 0.76 is the correct choice.
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A student committee has 6 members -- 4 undergrad and 2 grad students. A subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. What is the probability that there will be no graduate students on the subcommittee?
The probability that there will be no graduate students on the subcommittee = 4/20= 0.2
The probability of an event happening is determined by probability: P(A) = f / N. Probability and odds are related, but probability determines what the odds are. Probability is required before calculating the likelihood of an event. and here total 6 students in which 4 undergrad and 2 grad students A subcommittee of 3 members is to be chosen randomly so number of ways to choose = C (6,3)
and ways that no graduate students on the subcommittee is C (4,3)
and probability that there will be no graduate students on the subcommittee = f / N=C (4,3)/C (6,3)
= 4/20 = 0.2
he probability that there will be no graduate students on the subcommittee is 0.2
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What is the quotient of d⁴-6d³+d+17÷d-2
Answer:
d^4-6d^3+d+17/d-2
A bit complicated, sorry about that.
how many different permutations are there of the set {a, b, c, d, e, f, g}?
There are 5040 different permutations of the set {a, b, c, d, e, f, g}.
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040
The set {a, b, c, d, e, f, g} has seven elements, so there are 7! (7 factorial) permutations possible. The factorial of a number is the product of all the numbers up to and including that number. In this case,
7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5040.
This means that there are 5040 different permutations of the set
{a, b, c, d, e, f, g}.
A permutation is defined as an arrangement of elements in a specific order. In this case, the elements are {a, b, c, d, e, f, g} and the order can be changed in any way, as long as all elements are included. For example, one possible permutation is bfgdeca.
This is one of the 5040 possible permutations of the set.
As the set contains seven elements, there are 7! (7 factorial) possible permutations. This means that there are 5040 different permutations of the set {a, b, c, d, e, f, g}.
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Here are the times, in seconds, spent by some pupils to answer a question on DFM.
6 4 7 4
4 7 4
10 9 9
Find the mean time.
Give your answer correct to 1 decimal place where appropriate.
To find the mean time, we sum up all the given times and divide by the total number of observations.
The given times are: 6, 4, 7, 4, 4, 7, 4, 10, 9, and 9.
Adding up these times: 6 + 4 + 7 + 4 + 4 + 7 + 4 + 10 + 9 + 9 = 64.
There are 10 observations in total.
Dividing the sum of the times (64) by the total number of observations (10), we find:
Mean time = 64 / 10 = 6.4
Therefore, the mean time spent by the pupils to answer a question is 6.4 seconds.
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Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6x+2y = -8
Answer:
f rxddx6fxyfxtxd5dx5xdc5rcf5cf55fccf5ctfctd5dx5dxx5rx5tex5erx7gx
ygyvuhUhws
Step-by-step explanation:
6x + 2y = -8
-6x -6x
2y = -6x - 8
y = (-6/2)x - 8/2
y = -3x -4
If there are 6 red scrubs and 7 green scrubs, what is the probability that a red scrub is chosen and then another red scrub?
The probability of choosing a red scrub and then another red scrub is 0.14423 or 14.42%.
To calculate the probability of choosing a red scrub, we first need to know how many red scrubs are in the set. In this case, there are 6 red scrubs out of a total of 13 scrubs. Therefore, the probability of choosing a red scrub is:
Probability of choosing a red scrub = Number of red scrubs / Total number of scrubs
Probability of choosing a red scrub = 6 / 13
Now, we need to calculate the probability of choosing another red scrub after the first one has been chosen. Since one red scrub has already been chosen, there are now only 5 red scrubs left out of a total of 12 scrubs. Therefore, the probability of choosing another red scrub is:
Probability of choosing another red scrub = Number of remaining red scrubs / Total number of remaining scrubs
Probability of choosing another red scrub = 5 / 12
To calculate the probability of both events happening (choosing a red scrub and then another red scrub), we need to multiply the probabilities together. This is known as the multiplication rule of probability.
Probability of both events happening = Probability of the first event x Probability of the second event
Probability of both events happening = (6/13) x (5/12)
Probability of both events happening = 0.14423 or 14.42%
This means that out of all the possible outcomes, there is a 14.42% chance of choosing two red scrubs in a row from a set of 13 scrubs.
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if we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect:
If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the interval to become wider.
A confidence interval is a range of values that is likely to contain the true population parameter with a certain degree of confidence. A 95% confidence interval means that if we were to repeat the sampling and estimation process many times, we can expect the true population parameter to fall within the interval about 95% of the time.
If we change the confidence level from 95% to 99%, we are increasing the degree of confidence. This means that if we were to repeat the sampling and estimation process many times, we can expect the true population parameter to fall within the interval about 99% of the time.
But, to achieve this higher degree of confidence, we need to widen the interval. This is because as the degree of confidence increases, the interval needs to become wider to capture more possible values of the population parameter.
Therefore, if we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect the interval to become wider.
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please helpp!! Christina wants to paint her garage. She buys 1 1/2 gallons of paint. She uses 2/5 of a gallon of paint for one wall and then she buys 2 more gallons. How many gallons of paint does she have left?
1 1/2 = 1 5/10
2/5 = 4/10
1 5/10 - 4/10 = 1 1/10
1 1/10 + 2 = 3 1/10
3 1/10 gallons of paint left
Answer: 31/10 gallons of paint.
Step-by-step explanation:
Find common denominators.
3/2 = 15/10
2/5 = 4/10
15/10 - 4/10 = 11/10
2 + 11/10 = 31/10
how to solve this? 10x+4y < 12 8x-3y > 20
Answer: mmm
Step-by-step explanation:
mmm
Use the diagram to identify a segment parallel to CF
DG
AD
DC
AB
Answer:
DG
Step-by-step explanation:
This is a rectangular prism. BE & AH are also parallel to CF. but they r not in the answers.