Therefore, we can conclude that 98% of the sample means will fall within the interval (0.9565, 0.9615).
We are given that the true mean of the bio/total carbon ratio is 0.9590 and the standard deviation is 0.0080. We want to find the interval within which 98% of the sample means will fall.
Since we are dealing with a sample, we will use the standard error of the mean (SEM) to calculate the interval. The formula for SEM is:
SEM = σ/√n
where σ is the population standard deviation, and n is the sample size. In this case, we are given σ = 0.0080, and n = 44. Therefore,
SEM = 0.0080/√44
SEM = 0.00120
Next, we need to find the critical z-value for a 98% confidence interval. We can do this using a standard normal distribution table or a calculator. Using a calculator, we get:
z = invNorm(0.99)
z = 2.3263
Finally, we can find the interval using the formula:
CI = X ± z*SEM
where X is the sample mean, z is the critical z-value, and SEM is the standard error of the mean.
Plugging in the given values, we get:
CI = 0.9590 ± 2.3263*0.00120
Simplifying, we get:
CI = (0.9565, 0.9615)
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A. Has a slope of 4/3 and passes through the point (1,0)
B. Has a slope of 4/3 and passes through the point (0,1)
C. Has a slope of 3/4 and passes through the point (1,0)
D. Has a slope of 3/4 and passes through the point (0,1)
Answer:
D. Has a slope of 3/4 and passes through the point (0,1)
Step-by-step explanation:
The y-intercept is (0, 1), so this line passes through (0, 1).
slope = m = rise/run
Start at (0, 1). Go up 3. That is a rise of 3. Now go right 4. That is a run of 4.
slope = rise/run = 3/4
Answer: D. Has a slope of 3/4 and passes through the point (0,1)
18 divided by 4 =_____ with _____ left over
Answer:
18 divided by 4 would be 4 with 2 left over
Step-by-step explanation:
4x4 is 16 and to get 18 you have two more.
18 divided by 4 = 4 with 2 left over. This is because 4 can go into 18 4 times (which is 16) and then 2 remains.
I hope this helps. Please mark me as the brainliest!
how could lola solve this colored pencil problem quickly?
Answer:
use a ruler.
Step-by-step explanation:
? Please answer this question
find the slope given (2,-7) and (-1,6)
Answer:
-0.77777777777778
Step-by-step explanation:
EASY!!! Answer this correctly.
I will mark brainleist.
Answer:
7/40
17/1000
9/3125
3/200
Step-by-step explanation:
Brainliest pls tried hard
ITS DUE NOW PLS HELP
The teacher of a seventh-grade class flipped a coin 100 times. The students recorded the results in the table shown below:
Side of Coin Landed On Heads Tails
Number of Flips 56 44
Which of the following best describes the experimental probability of getting heads?
The experimental probability is same as the theoretical probability.
The experimental probability is 6% lower than the theoretical probability.
The experimental probability is 6% higher than the theoretical probability.
The experimental probability cannot be concluded from the data in the table.
Answer:
The experimental probability is 6% lower than the theoretical probability.
The experimental probability is 6% higher than the theoretical probability.
Both of them are right
Answer:
The experimental probability is 6% lower than the theoretical probability.
Or
The experimental probability is 6% higher than the theoretical probability.
Step-by-step explanation:
Just choice either or both you'll do fine!
There are about 16 km in 10 miles about how many kilometers are in 5 miles
Answer:
8km
Step-by-step explanation:
10 miles = 16 km
1 mile = 16/10km = 1.6km
5 miles = 1.6*5 km
= 8 km
Find the set of values of x for which x^2-x-6>0 and 10-2x<5
Answer:
No Solution.
Step-by-step explanation:
For starters, here are our two equations:
\((x^2-x-6)>0\)
\(10-2x<5\)
The first option is to solve for x in our second equation. First, we add 2x to both sides to get \(10<5+2x\). Then, we subtract 5 from both sides to get \(2x<5\). Finally, we divide both sides by 2 to get \(x<2.5\). We can plug in 2.5 into our second equation to test if it works. If it does not work, then anything less than 2.5 won't work, and the solution would be impossible.
Now we can plug in our values into our first equation. We now have the equation \(2.5^2-2.5-6>0\). We can simplify to get \(-2.25>0\). This test failed, so there are no solutions. A solution would be impossible.
Can someone help asap
Please help!!! 20 points
Answer:
4) 2xy(x^2-2x-8) 2xy(x-4) (x+2)
5) 3(x^2-9x-10 3(x+1) (x-10)
Step-by-step explanation:
which statement is correct regarding and the parent function ?The domains of g(x) and f(x) are the same, but their ranges are not the same.
The ranges of g(x) and f(x) are the same, but their domains are not the same.
The ranges of g(x) and f(x) are the same, and their domains are also the same.
The domains of g(x) and f(x) are the not the same, and their ranges are also not the same.
The correct statement is: "The domains of g(x) and f(x) are the same, but their ranges are not the same."
The statement "The domains of g(x) and f(x) are not the same, and their ranges are also not the same" is correct. In general, when considering functions g(x) and f(x) derived from a parent function, the transformations applied to the parent function can affect both the domain and the range. The domain of a function refers to the set of all possible input values, while the range represents the set of all possible output values. Through transformations such as shifts, stretches, compressions, or reflections, the domain and range of a function can be altered. Therefore, it is possible for the domains and ranges of g(x) and f(x) to differ from each other and from the parent function.
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the administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. the following relative frequency table shows the data. positive negative total has the flu 54% 6% 60% does not have the flu 8% 32% 40% total 62% 38% 100% based on the data, what is the ratio of false positives to true positives? 6 over 32 8 over 6 8 over 54
The ratio of false positives to true positives is 8 over 54.
According to the Question
Results of a strep throat test performed on a sample of 400 ill people are displayed in the table's data. People who have the flu and those who don't are separated into two categories. The patients are then separated into groups based on whether they tested positive or negative for strep throat within each of these categories.
We must first define what a true positive and a false positive are in order to calculate the ratio of false positives to true positives. A patient who tests positive for strep throat but does not actually have the illness is said to have a false positive. The 8% of patients in this instance who tested positive for strep throat but did not have the flu would fall under that category. A patient who tests positive for strep throat and truly has the illness is said to have a true positive. That would be the 54% of patients who tested positive for both the flu and strep throat in this instance.
We divide the percentage of false positives (8%) by the percentage of true positives (54%), which gives us the ratio of false positives to true positives.
As a result, the ratio becomes 8% / 54%, or 8/54.
It's critical to remember that this ratio is dependent on the sample and test performed and may not be the same for different populations or testing methodologies.
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23% of a snack mix is almonds. How much snack mix would you need to get 230 g of almonds?
Answer:
23 times 10 is
230 so your answer is 2 times 10
Calculate the injury probability p (rounded to 2 decimals) that makes the decision maker indifferent between entering now and waiting until next year, that is for what probability are the EMV of both alternatives equal
The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.
To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:
EMV₁ = -1000p + 5000(1-p)
EMV₂ = 0.9(-1000p) + 0.1(5000)
Setting EMV₁ equal to EMV₂, we get:
-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)
Solving for p, we get:
p ≈ 0.26
Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.
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Quantitative or qualitative
help pls I need this ASAP
Answer:
1. Quantitative data
2. Quantitative data
3. Qualitative data
4. Qualitative data
5. Quantitative data
6. Qualitative data
7. Quantitative data
8. Qualitative data
9. Quantitative data
10. Quantitative data
Step-by-step explanation:
Qualitative data usually answers the question "what kind". Quantitative data answers the question "how many" (or "how much" ).
Answer:
quantitative or qualitative
The times that 48 trains left a station on Friday were recorded
The cumulative frequency graph gives information about the
numbers of minutes the trains were delayed, to the nearest minute
Cumulative
The shortest and longest delays were 0 and 42 mins.
frequency
a) On the grid below, complete the boxplot for the
A
information about the delays on Friday
50
40
30
20
10 20
40
This is information
about the
delays of 48
trains on
Thursday
10
30
10
50
b) The median delay on Thursday was mins
c) The interquartile range on Thursday was 12
(2)
SO
Total marks: 6
10
mins
0
0
10
20 30 40
Detay in minutes
Answer:
The times that 48 trains left a station on Friday were recorded
If x = 9 and y = –1, evaluate the following
expression:
5/X – Y
Give your answer as a fraction in its simplest form.
Solve the problem????
Answer:
8.6
Step-by-step explanation:
A^2+B^2=C^2
5^2+7^2=C^2
25+49=C^2
74=C^2
√74=C
C=8.6
Hello! Please help me solve this problem.
Make sure to show your work so I know your answer is correct and I could also give you points for it!
Answer:
96/120 = 4/5
4/5 × 425 = 340 students
Solve for missing value
The 16 oz jar costs per oz. and the 12oz. Jar costs per oz. Slgmund should buy the lar of mayonnaise.
Based on the given information, the cost per ounce of the 16 oz jar and the 12 oz jar is not provided. Therefore, it is not possible to determine which jar of mayonnaise Sigmund should buy.
In order to compare the cost of the two jars of mayonnaise and determine which one Sigmund should buy, we need to know the price per ounce for each jar. Without this information, we cannot make a conclusive decision.
The cost per ounce is essential because it allows us to compare the prices accurately. For example, if the 16 oz jar costs $3 and the 12 oz jar costs $2.50, we can calculate the cost per ounce for each jar. The cost per ounce for the 16 oz jar would be $3 divided by 16 oz, which is $0.1875 per ounce. Similarly, the cost per ounce for the 12 oz jar would be $2.50 divided by 12 oz, which is approximately $0.2083 per ounce.
With this information, we can determine that the 16 oz jar is more cost-effective as it has a lower cost per ounce compared to the 12 oz jar. However, without the specific prices per ounce provided in the given information, it is impossible to determine which jar of mayonnaise Sigmund should buy.
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9. (4 pts) For the function R(A, M, O), where A, M, and O are all functions of u and v, use the chain rule to state the partial derivative of R with respect to v. That is, state ay ar
The partial derivative of function R with respect to v, denoted as ∂R/∂v, can be found using the chain rule.
To find the partial derivative of R with respect to v, we apply the chain rule. Let's denote R(A, M, O) as R(u, v), where A(u, v), M(u, v), and O(u, v) are functions of u and v. According to the chain rule, the partial derivative of R with respect to v can be calculated as follows:
∂R/∂v = (∂R/∂A) * (∂A/∂v) + (∂R/∂M) * (∂M/∂v) + (∂R/∂O) * (∂O/∂v)
This equation shows that the partial derivative of R with respect to v is the sum of three terms. Each term represents the partial derivative of R with respect to one of the functions A, M, or O, multiplied by the partial derivative of that function with respect to v.
By applying the chain rule, we can analyze the impact of changes in v on the overall function R. It allows us to break down the complex function into simpler parts and understand how each component contributes to the variation in R concerning v.
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A 4-column table with 3 rows titled paint color preference. the first column has no label with entries liked new paint color, disliked new paint color, total. the second column is labeled children with entries 0. 6, 0. 4, 1. 0. the third column is labeled adults with entries x, 0. 15, 1. 0. the fourth column is labeled total with entries 0. 77, 0. 23, 1. 0. which value for x completes the conditional relative frequency table by column? 0. 17 0. 25 0. 40 0. 85.
The value for x that completes the conditional relative frequency table by column is 0.85.
To complete the conditional relative frequency table by column, we need to find the missing value, represented as x, in the "adults" column. The total relative frequency in each column should add up to 1.0. Given that the relative frequency for "liked new paint color" is represented by x and the relative frequency for "disliked new paint color" is 0.15, we can set up an equation to find the value of x.
x + 0.15 = 1.0
By subtracting 0.15 from both sides of the equation, we find:
x = 1.0 - 0.15
Simplifying further:
x = 0.85
Therefore, the value for x that completes the conditional relative frequency table by column is 0.85. This means that 85% of adults surveyed liked the new paint color, while 15% disliked it.
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Find the difference using fraction bars or a paper and pencil. Write your answer in simplest form. 7/10 - 1/2 help asap!! im on a test
Step-by-step explanation:
7/10 - 1/2 = 7/10 - 5/10 = 2/10
Answer:
4/4
Step-by-step explanation:
20 applicants from a pool of 90 applications will be hired. How many ways are there to select the applicants who will be hired?
The ways are the \(C_{20} ^{90}\) which are we there to select the applicants who will be hired with the help of combination.
According to the statement
we have to find that the number of ways are there to select the applicants who will be hired.
So, For this purpose, we know that the
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Here we use the combination.
And from the given information:
20 applicants from a pool of 90 applications will be hired.
And according to this the combination becomes:
\(C_{20} ^{90}\)
then solve it
\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)
\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)
Then after solve it
\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)
Now open another factorial
\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)
Now solve this then
\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).
So, The ways are the \(C_{20} ^{90}\) which are we there to select the applicants who will be hired with the help of combination.
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pllsssssssssss neeed this done so i can go to sleep
:(
Answer:
r is greater then 5
Step-by-step explanation:
if it's pointing from say 3 up to 10 the number is bigger then the answer
El agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura. Luego se embotella en bidones de 2.5 litros. ¿Cuántos envases se llenan con cada depósito?
Answer:
Con cada depósito se pueden llenar 3,617.28 envases.
Step-by-step explanation:
Dado que el agua de un manantial se conduce hasta unos depósitos cilíndricos que miden 12 m de radio de la base y 20 m de altura, y luego se embotella en bidones de 2.5 litros, para determinar cuántos envases se llenan con cada depósito se debe realizar el siguiente cálculo, sabiendo que el volumen de un cilindro se obtiene multiplicando pi por el radio del cilindro al cuadrado por su altura:
3.14 x (12x12) x 20 = X
3.14 x 144 x 20 = X
452.16 x 20 = X
9,043.2 = X
9,043.2 / 2.5 = X
3,617.28 = X
Por lo tanto, con cada depósito se pueden llenar 3,617.28 envases.
The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s range from 35 to 40 million per year and death rates range from 15 to 20 million per year. Let's assume that the carrying capacity for world population is 100 billion. Use the logistic model to predict the world population in the 2,450 year. Calculate your answer in billions to one decimal place. (Because the initial population is small compared to the carrying capacity, you can take k to be an estimate of the initial relative growth rate.)
Answer:
24.1 billion
Step-by-step explanation:
One way to write the logistic function is ...
P(t) = AB/(A +(B-A)e^(-kt))
where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.
In billions, we have ...
A = 5.3
B = 100
k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year
t = 2450 -1990 = 460
\(P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}\)
pls help i really need help
Answer:
(9x²)6
Step-by-step explanation:
There are 6 identical sides to a cube, and if one side's area equals 9x², the other 5 sides also equal 9x². The surface area is the combined area of all faces. Hope this helps! Have a great day! :)