One element within an experiment that allows you to increase the level of certainty in your results and account for random events is the use of a control group.
Describe level of certainty?Level of certainty refers to the degree of confidence or assurance that one has in the accuracy of a particular result, decision, or conclusion. In scientific research, the level of certainty is often expressed as a probability or as a confidence interval, which provides a range of values that are expected to contain the true value with a certain degree of confidence. A higher level of certainty indicates a greater level of confidence that the result is correct, while a lower level of certainty indicates more uncertainty or ambiguity. Factors that can affect the level of certainty in an experiment or measurement include the quality of the data, the size of the sample, the accuracy of the methods used, and the presence of random or systematic errors.
By having a control group, you can compare the results of the experiment against a baseline and isolate any changes caused by the independent variable. Additionally, using a large sample size and repeating the experiment multiple times can also help increase the level of certainty and account for random events.
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Cindy and her friends ride in a bike race. Each of the 6 members of her team rides an equal part of the 24-mile course.
The equation ____________________________ represents this problem
x - 24 = 6
6x = 24
24x = 6
Answer:
6x=24
Step-by-step explanation:
Because if Cindy has 6 friends and they all ride 4 miles it should equal 24.
How do you add decimals.
Answer:
like regular numbers
Step-by-step explanation:
just carry the one to the left of the decimal point
I'm pretty sure if I'm wrong sorry
Almost all medical schools in the united states require students to take the medical college admission test (mcat). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500. 9, with a standard deviation of 10. 6.
What is the question for this so I can answer it?
Can someone help?...look at the pics
Answer:
\(\boxed{y=2x-2}\)
Step-by-step explanation:
Pick values from the table.
When x = 1, y = 0.
The third option seems right.
\(y=2(1)-2\)
\(y=2-2\)
\(y=0\)
True.
7x -3x = 20?
I do not know what this is…
7x-3x = 20
Simplify by subtracting:
4x = 20
Divide both sides by 4:
X = 5
Answer:
7x-2x=20
6x=20
6x÷6=20÷6
x=16.67
suppose that someone made a graph of sat scores from 100 randomly selected students from the state of florida. standardized test scores like those for the sat are derived from the students' raw scores (number of questions answered correctly) and adjusted for slight differences in difficulties between versions. what shape would you expect the histogram of this data to be?
The shape of the histogram is expected to be symmetric.
A histogram is a graphical representation of the distribution of a dataset. It is an estimate of the probability distribution of a continuous variable. The histogram is plotted with bin ranges on the x-axis and the frequency (count) of data points that fall within each bin on the y-axis.
The shape of the histogram can give you a sense of the underlying distribution of the data, such as whether it is symmetric or skewed.
Standardized test scores, like the SAT, are typically designed to have a normal distribution, meaning that the majority of scores fall in the middle range, with fewer scores at the extremely high or low ends.
Additionally, because the data is being collected from a large and diverse population of students from one state, it is unlikely that there would be a significant skew in one direction or another.
However, some factors such as socioeconomic status, family background, school district, and student ethnicity may affect the distribution.
Therefore, The shape of the histogram is expected to be symmetric.
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Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant
Answer:
2 quadrant
Step-by-step explanation:
i think
Answer:
Quadrant 2...
Describe a pattern in the sequence of numbers. Predict the next number.
1.) 256, 64, 16, 4, ... ________.
2.) 2, 6, 18, 54, ... _______
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
In the first sequence,
let's take ratio of the next term with its preceding term, so we will get the common ratio ~
\(\qquad \sf \dashrightarrow \: \cfrac{4}{16} = \dfrac{1}{4} \)
So, we can imply that The next term of the sequence is 1/4 times the previous term.
hence, the unknown term will be 1/4 times of previous term.
That is : 1/4 × 4 = 1Therefore, the next term here is 1
In the second sequence,
Do the same procedure as above, we will get common ratio as :
\(\qquad \sf \dashrightarrow \: \cfrac{18}{6} = 3\)
So, the next term is 3 times the preceding term, that is :
3 × 54 = 162Therefore, the next term is 162
the mean of the set of numbers $\{87,85,80,83,84,x\}$ is 83.5. what is the median of the set of six numbers? express your answer as a decimal to the nearest tenth.
The median of the set of six numbers is 84.5.
What is median?The middle number or central value within a set of data is known as the median. The number that falls in the middle of the range is also the median.
To find the median of a set of numbers, we need to arrange the numbers in ascending order and determine the middle value.
The given set of numbers is {87, 85, 80, 83, 84, x}, and we know that the mean of the set is 83.5.
Let's arrange the numbers in ascending order: 80, 83, 84, 85, 87, x.
Since the mean of the set is 83.5, we can calculate the sum of the numbers and subtract the sum of the known values to find the value of x.
Sum of the known numbers = 80 + 83 + 84 + 85 + 87 = 419.
Mean * Number of values = 83.5 * 6 = 501.
Sum of all numbers - Sum of known numbers = x.
501 - 419 = x.
82 = x.
Now that we have the complete set of numbers: {80, 83, 84, 85, 87, 82}, we can determine the median.
The median is the middle value of the set when arranged in ascending order.
In this case, the median is the average of the two middle values, which are 84 and 85.
Median = (84 + 85) / 2 = 169 / 2 = 84.5.
Therefore, the median of the set of six numbers is 84.5.
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in lixue’s garden, the green pepper plants grew 5 inches in 3 4 month. at this rate, how many feet can they grow in one month? (let 5 inches
It would grow by approximately 1.6668 inches to 1.2504 inches
In Lixue's garden, the green pepper plants grew 5 inches in 3-4 months. To find out how many feet they can grow in one month, we can use the given information.
Let's start by converting the inches to feet. Since there are 12 inches in a foot, we divide 5 inches by 12 to get the equivalent in feet: 5 inches ÷ 12 = 0.4167 feet (rounded to four decimal places).
Now, we need to determine how much they can grow in one month. Since the plants grew 0.4167 feet in 3-4 months, we divide this amount by the number of months to find their average monthly growth.
If we assume that the plants grew 0.4167 feet in 3 months, their monthly growth rate would be 0.4167 feet ÷ 3 months = 0.1389 feet per month (rounded to four decimal places).
If we assume that the plants grew 0.4167 feet in 4 months, their monthly growth rate would be 0.4167 feet ÷ 4 months = 0.1042 feet per month (rounded to four decimal places).
Therefore, based on the given information, the green pepper plants can grow approximately 0.1389 feet to 0.1042 feet in one month, depending on whether we consider a 3-month or 4-month timeframe.
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find the missing side.
Answer:
24.8
Step-by-step explanation:
sin75 = 24/x
x = 24/sin75 = 24.8466 = 24.8 (nearest tenth)
Determine whether the series converges or diverges. (n+4)! a) 4!n!4" b) 1 \n(n+1)(n+2) =
We have to determine whether the given series converges or diverges. The given series is as follows: `(n+4)! / 4!(n!)` Let's use the ratio test to find out if this series converges or diverges.
The Ratio Test: It is one of the tests that can be used to determine whether a series is convergent or divergent. It compares each term in the series to the term before it. We can use the ratio test to determine the convergence or divergence of series that have positive terms only. Here, a series `Σan` is convergent if and only if the limit of the ratio test is less than one, and it is divergent if and only if the limit of the ratio test is greater than one or infinity. The ratio test is inconclusive if the limit is equal to one. The limit of the ratio test is `lim n→∞ |(an+1)/(an)|` Let's apply the Ratio test to the given series.
`lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `lim n→∞ [(n+5)/4] * [1/(n+1)]` `lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `lim n→∞ (n^2 + 9n + 20) / (4n^2 + 20n + 16)`
As we can see, the limit exists and is equal to 1/4. We can say that the given series converges. The series converges. To determine the convergence of the given series, we use the ratio test. The ratio test is a convergence test for infinite series. It works by computing the limit of the ratio of consecutive terms of a series. A series converges if the limit of this ratio is less than one, and it diverges if the limit is greater than one or does not exist. In the given series `(n+4)! / 4!(n!)`, the ratio test can be applied. Using the ratio test, we get: `
lim n→∞ |(an+1)/(an)| = lim n→∞ [(n+5)! / 4!(n+1)!] * [n!(n+1)] / (n+4)!` `= lim n→∞ [(n+5)/4] * [1/(n+1)]` `= lim n→∞ [(n^2 + 9n + 20) / 4(n^2 + 5n + 4)]` `= 1/4`
Since the limit of the ratio test is less than one, the given series converges.
The series converges to some finite value, which means that it has a sum that can be calculated. Therefore, the answer is a).
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Vince successfully solved the system of equations
-5x + y = -21
y = x - 1
Which of these statments could correctly describe what he did?
Replace y with x-1 in the first equation.
Solve for x to get x = 5, which leads to y = 4.
========================================================
Explanation:
Since y = x-1, we can replace every copy of y with x-1 and solve for x.
This is the substitution step. Think of it like a substitute teacher replacing your regular teacher on a temporary basis.
-5x + y = -21
-5x + (x-1) = -21
-4x -1 = -21
-4x = -21+1
-4x = -20
x = -20/(-4)
x = 5 is the first part of the solution
Then this leads to:
y = x-1
y = 5-1
y = 4 as the second part of the solution
Overall the solution as an ordered pair is (x,y) = (5, 4).
---------------
If you wanted, you could plug x = 5 into the first equation and solve for y like so:
-5x+y = -21
-5(5)+y = -21
-25+y = -21
y = -21+25
y = 4
But it's preferable to use y = x-1 since it's more direct.
a single vector producing the same effect as two separate victors acting on the same point is called the…
brand A sells their product for 36 dabloons per 6 kg. Brand B sells their product for 4 dabloons per 2 kg. which brand is cheaper and by how much per kg
Brand A sells their product for 36 dabloons per 6 kg. Brand B sells their product for 4 dabloons per 2 kg. Therefore, Brand B is cheaper than Brand A by 2 dabloons per kg in price.
To determine which brand is cheaper and by how much per kg, we compare the prices of both brands based on the cost per kg.
Brand A sells their product for 36 dabloons per 6 kg. We can simplify this to find the cost per kg:
Cost per kg for Brand A = 36 dabloons / 6 kg = 6 dabloons/kg.
Brand B sells their product for 4 dabloons per 2 kg. We can simplify this to find the cost per kg:
Cost per kg for Brand B = 4 dabloons / 2 kg = 2 dabloons/kg.
Comparing the cost per kg, we find that Brand B has a lower cost per kg than Brand A. Therefore, Brand B is cheaper.
To calculate the difference in price per kg between the two brands, we subtract the cost per kg of Brand B from the cost per kg of Brand A:
Difference in price per kg = Cost per kg of Brand A - Cost per kg of Brand B
= 6 dabloons/kg - 2 dabloons/kg
= 4 dabloons/kg.
Therefore, Brand B is cheaper than Brand A by 4 dabloons per kg.
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A budgle with a PCV of 45% presented to the clinic. A diagnostic laboratory requires 1 ml of serum to run a chemistry panel: How how many fuilhematocrittubes would have to be collected to have enough serum for the test, assuming each hematocrittube holds 0.1 ml of whole blood? 21 19 11 08
The number of hematocrit tubes required to collect the serum for the chemistry panel is 10. So the correct answer is 08.
PCV = 45%1 ml of serum is required to run a chemistry panel0.1 ml of whole blood can be stored in one hematocrit tubeNow, to find out the number of hematocrit tubes required to collect the serum for the chemistry panel, we can follow the steps below:1.
We know that PCV is the packed cell volume of whole blood, which is the proportion of blood occupied by cells. So, the remaining part is the plasma, which contains the serum.2. We can use the formula below to calculate the volume of whole blood from which the 1 ml serum can be obtained:PCV + Plasma volume = 100%45 + Plasma volume
= 100%Plasma volume
= 100% - 45%
Plasma volume = 55%
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Which of the following inequalities is equivalent to x > 1?
Ox-1-2x < 2-2x
O 5x+3<4 (5x - 3)
O 2x 3x + 3
O 3x15 > 2x
The inequality 5 · x + 3 < 4 · (5 · x - 3) is equivalent to x > 1 according to algebra properties. (Correct choice: B)
Which inequality is equivalent to a given expression?
Herein we must look for an inequality whose simplest form is equal to x > 1, this can be proved by using algebra properties. Now we proceed to check on each choice:
Case A
x - 1 - 2 · x < 2 - 2 · x
- x - 1 < 2 - 2 · x
x < 3 (FALSE)
Case B
5 · x + 3 < 4 · (5 · x - 3)
5 · x + 3 < 20 · x - 12
15 < 15 · x
1 < x
x > 1 (TRUE)
Case C
2 · x < 3 · x + 3
- 3 < x
x > - 3 (FALSE)
Case D
3x + 15 > 2 · x
x > - 15 (FALSE)
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Which function has the given properties below? The domain is the set of all real numbers. One x-intercept is (2 pi, 0). The amplitude is 4. The point (StartFraction pi over 2 EndFraction, negative 4 EndFraction) is on the graph. The y-intercept is (0, 0). Y = –4sin(x) y = –4cos(x) y = 4sin(x) y = 4cos(x).
The functions y = -4sin (x) and y = 4sin (x) has the given properties.Functions help to define the relationship between the independent and the dependent variable.
What is function?A expressions defining a connection between the independent variable and dependent variable is known as the functions.
A feature that:
The domain is defined as the set of all real numbers.
a single x-intercept
The amplitude is four.
The y-intercept is defined as (0,0)
Because the specified function goes through the functions having "cosine," the functions containing "cosine" can be omitted from the selections (0,0). As a result, we have two options:
Hence y = -4sin (x) and y = 4sin (x) has the given properties.
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Answer:
A) y = -4sin(x)
Step-by-step explanation:
Just took the quiz on edge 2022
Zoe supplies costumes to a number of theater companies. She
recently provided 20 different hats, including 4 fedoras.
Considering this data, how many of the next 30 hats requested
from Zoe's inventory should you expect to be fedoras?
Answer:3
Step-by-step explanation:
The 6 fedoras expect if next 30 hats requested from Zoe's inventory, and She recently provided 20 different hats, including 4 fedoras.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The ratio of hats to fedoras = 20:4
Let's suppose Zoe's inventory, should expect to x fedoras
20/4 = 30/x
x = 30/5
x = 6
Thus, the 6 fedoras expect if next 30 hats requested from Zoe's inventory, and She recently provided 20 different hats, including 4 fedoras.
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a closed curve encircles several conductors. the line integral around this curve is â®bâ âdlâ =â®bââdlâ= 4.20Ã10â4 tâmtâm .
For a closed curve encircles several conductors. If the line integral around this curve is then the net current in the conductors is equals to the 334 Ampere.
Ampere’s Law is stated as ‘the line integral of a Magnetic field \(\vec B\) along a closed path is equals to the \( \mu_0\) (permeability of free space) times the total current 'I' enclosed by closed path or curve, mathematically form, we can say that \(\int \vec B. \vec dl = \mu_0 I\)
where, I --> total or net current.
It is used to describe a relationship between the current and the Magnetic field that it generates around itself. Now, we have the line integral around closed curve, \(\int \vec B.\vec dl \)
= 4.20×10⁻⁴ T-m
We have to determine value of the net current in the conductors. Using the ampere's law, for a closed loop carrying current, \( 4.20 × 10^{-4} = \mu_0 I\).
plug the value of constant of permeability of free space, \(\mu_0\) = 4π× 10⁻⁷ T-m/A
=> I × 4π× 10⁻⁷ T-m/A = 4.20 × 10⁻⁴ T-m
=> I = ( 4.20/4π) 10⁻⁴⁺⁷ A
=> I = 0.334× 10³ A
=> I = 334 A
Hence, required value is 334 A.
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Complete question:
a closed curve encircles several conductors. the line integral around this curve is int B.dl = 4.20×10-4 T-m. What is the net current in the conductors?
what's the answer to this question
The statements are
Slope = 3y-intercept = 0Equation of the line: y = 3xHow to complete the statementsFrom the question, we have the following parameters that can be used in our computation:
In 6 minutes, Jose can run 18 laps
Using the above as a guide, we have the following:
Rate or Slope = 18/6
Evaluate
Slope = 3
For the equation, we have
y = Slope * Number of minutes
So, we have
y = 3 * x
This gives
y = 3x
Hence, the equation is y = 3x
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Pls answer this I really need help with this!!
Answer:
-(3,3)
(1,0)
(-1,2)
(0,-2)
(1,3)
put those in, in the order i have it for
Step-by-step explanation:
Hopefully this helped, if not HMU and I will get u a better answer!
Nick borrowed $5,500 from the bank to purchase a car. The interest rate on this 5-year loan is 10.25%. How much does Nick pay in total to the bank?
In sum, Nick repays the bank $8,306.25 over the course of the loan's five years.
Let's start by figuring out the total interest during the loan's five-year period. The formula is as follows:
Total interest = principal x rate x time
where:
principal = the amount borrowed
rate = the interest rate (as a decimal)
time = the time period for which the interest is calculated (in years)
Plugging in the given values, we get:
total interest = 5500 x 0.1025 x 5
total interest = 2806.25
So the total interest over the 5-year loan term is $2,806.25.
Therefore, by adding the interest to the principal, we can get the total amount Nick pays to the bank:
total amount = principal + total interest
total amount = 5500 + 2806.25
total amount = 8306.25
Therefore, Nick pays a total of $8,306.25 to the bank over the course of the 5-year loan.
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[2-|-2/3-2(-1/5)|]divide by (-13)
Answer:
2/15
Step-by-step explanation:
Please help! Easy question, answer pls, 15 pts.
Answer:
360 in
Step-by-step explanation:
To figure out how many inches the dressmaker has in 10, 3 ft rolls, we can multiply by the conversion ratio:
\(\dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies (10 \cdot 3 \text{ ft}) \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30 \text{ ft} \cdot \dfrac{12 \text{ in}}{1\text{ ft}} \\ \\ \text{} \ \ \implies 30\cdot 12 \text{ in} \\ \\ \text{} \ \ \implies \boxed{360 \text{ in}}\)
So, the dressmaker has 360 in of ribbon.
find the y-coordinate of the y-intercept of the polynomial function defined below f(x)=2x(x^2+3)
Answer:
y-intercept is (0,0). Mark brainliest?
Answer:
Step-by-step explanation:
2x(\(x^{2}\) + 3)
when x = 0 then we have a y intercept
2\(x^{3}\) +6x
so b/c both terms have an x in them
we know the only time this function hits the y intercept is when y is zero
got it?
answer y = 0
Please Help!!! Thanks so much!
The triangle is a right triangle, and the length of segment BD is 16.30
How to determine the length BD?Start by calculating the length CD using the following Pythagoras theorem
\(CD = \sqrt{28.9^2 - 24.2^2}\)
Evaluate
\(CD = \sqrt{249.57}\)
Take the square of both sides
CD^2 = 249.57
The length BD using the following Pythagoras theorem
\(BD = \sqrt{CB^2 - CD^2}\)
So, we have:
\(BD = \sqrt{22.7^2 - 249.57}\)
Evaluate
\(BD = \sqrt{265.72}\)
Evaluate the square root
BD = 16.30
Hence, the length of segment BD is 16.30
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Could you help me thanks
Answer:
Miles per gallon, 72.9/2.7 =27
Step-by-step explanation:
What is the volume of a triangular prism with a height of 3, a length of 2, and a width of 2
The volume of a triangular prism with a height of 3, a length of 2, and a width of 2 is 6 cubic units.
To calculate the volume of a triangular prism, we need to multiply the area of the triangular base by the height. The formula for the volume of a prism is given by:
Volume = Base Area × Height
In this case, the triangular base has a length of 2 and a width of 2, so its area can be calculated as:
Base Area = (1/2) × Length × Width
= (1/2) × 2 × 2
= 2 square units
Now, we can substitute the values into the volume formula:
Volume = Base Area × Height
= 2 square units × 3 units
= 6 cubic units
Therefore, the volume of the triangular prism is 6 cubic units.
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The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 6th term be? (1 point)
A pattern showing the square term number rule. The first term has one dot. The second term has four dots. The third term has nine dots. The fourth term has sixteen dots.
a
36
b
49
c
64
d
81
The pattern for the 6th term of the sequence is A₆ = 36
Given data ,
The first term has one dot (1² = 1)
The second term has four dots (2² = 4)
The third term has nine dots (3² = 9)
The fourth term has sixteen dots (4² = 16)
So , the fifth term A₅ = 25
And , from the pattern , the 6th term A₆ = 36
Hence , the 6th term is A₆ = 36
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