In an experiment, the control group contains the subjects who are not exposed to the independent variable.
The control group is an essential component of an experiment designed to test the effects of an independent variable on a dependent variable. It serves as a baseline or reference point against which the experimental group is compared. The control group consists of subjects who are not exposed to the independent variable or treatment being studied.
By keeping the control group separate from the experimental group, researchers can assess the impact of the independent variable by comparing the outcomes or results between the two groups. The control group provides a point of comparison to determine if any observed changes or effects are indeed due to the independent variable and not influenced by other factors.
For example, in a medication trial, the control group would receive a placebo or a standard treatment (if available) instead of the experimental drug being tested. By comparing the outcomes between the control group and the experimental group, researchers can determine the specific effects of the independent variable.
In conclusion, the control group in an experiment consists of subjects who do not receive the independent variable or treatment, providing a basis for comparison to assess the effects of the independent variable.
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Solve using substitution
Answer:Can I see a attachment then I'll answer it. Because I need the attachment so I can see. What are you talking about.
Solve by using distributive property.
-3(m - 2) = 21
Answer:
m=-5
Step-by-step explanation:
distribute -3: -3m+6=21
subtract 6 from both sides: -3m=15
divide by negative three: m=-5
Answer:
m = -5
Step-by-step explanation:
-3(m-2)=21
-3m + 6 = 21
-3m = 15
15
m = --------
-3
m = -5
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The 95% confidence interval for the average apple weight is (119.14, 125.86).
An apple typically weighs 120 grams with a 12-gram standard deviation, according to one manufacturer. The average weight of an apple was 122. 5 grams, according to statistics created from a sample of 49 apples that were randomly chosen from a shipment.
Let, n = 49
x = 122.5
σ = 12
To calculate and interpret a 95% confidence interval for the average apple weight, use the formula;
⇒ (x ± 1.96*σ/√n)
⇒ (122.5 ± 1.96*12/√49)
⇒ (119.14, 125.86)
Consequently, the average apple weight has a 95% confidence interval of (119.14, 125.86).
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Given the function, f(x)= 1/2x − 4, evaluate f(2).
Answer:
-3
Step-by-step explanation:
1/2x2=1 1-4=-3
Which product of prime polynomials is equivalent to 30x3 – 5x2 – 60x? a. 5(2x2 – 3)(3x 4) b. x(10x 3)(3x – 4) c. 5x(2x – 3)(3x 4) d. 5x(2x 3)(3x – 4)
The product of prime polynomials which is equivalent to 30x3 – 5x2 – 60x is option C) 5x(2x – 3)(3x + 4).
We have 30x³ - 5x² - 60x
We take common value out so
5x(6x² - x - 12)
By following the factorization method we get,
6x² - x - 12
b²-4ac = -1² - 4x6x(-12)
= 289
x = -b ± √289/2a
= 1 ± 17/-2
x = 3/2 or x = -4/3
So,
6x² - x - 12
6(x-3/2)(x-(-4/3))
(2x-3) (3x+4)
Therefore,
30x³ - 5x² - 60x = 5x(6x² - x - 12)
= 5x (2x-3) (3x+4)
The product of prime polynomials is equivalent to 30x3 – 5x2 – 60x is 5x(2x – 3)(3x + 4).
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(02.01 MC) Triangle FIT has been reflected over the y-axis. Which of the following best describes the relationship between the y-axis and the line connecting F to F? (4 pe They share the same midpoints. They are diameters of concentric circles. They are perpendicular to each other. They are parallel and congruent.
The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.
When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.
The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.
Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.
Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.
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Pls help me!!!
2.5 Ib= oz
Answer:
40 ounces
Step-by-step explanation:
1 pound = 16 ounces
Answer:
The answer is...
Step-by-step explanation:
40 oz is how many oz are in 2.5 lb
Hope this helped
:)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
What value of p makes the equation true?
Answer:
1/8
Step-by-step explanation:
●●○•°°°□□●○○○○○••••
Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,[infinity]). Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.
The required answer is sec θ = -√2.
Explanation:-
Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).
To determine three possible angles θ, the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.
Therefore, sec θ = 1/cos θ.To find cos 11π/4, the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.
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Can somebody help me solve this inequality
Answer:
108 cm²
Step-by-step explanation:
The composite shape can be divided as shown into a trapezoid and a triangle. The area of the shape is the sum of the areas of those parts.
__
trapezoidThe top portion of the shape is marked as a trapezoid with bases 12 cm and 6 cm, and height 6 cm. Its area is given by ...
A = 1/2(b1 +b2)h
A = 1/2(12 cm +6 cm)(6 cm) = 1/2(18 cm)(6 cm) = 54 cm²
__
triangleThe bottom portion of the shape is marked as a triangle. The triangle has a base of 12 cm and a height of (15 cm -6 cm) = 9 cm. Its area is ...
A = 1/2bh
A = 1/2(12 cm)(9 cm) = 54 cm²
__
total areaThe area of the composite figure is the sum of the areas of its parts:
total area = trapezoid area + triangle area
total area = 54 cm² +54 cm² = 108 cm²
The area of the logo is 108 cm².
please help if you can thanks
Answer:
the answer is b
Step-by-step explanation:
8 x 5 gets to 40 then 11 is how much you have
Answer:
Hi friend! The answer is B. 11/5
3 eighths as a decimal?
Answer:
0.375
Step-by-step explanation:
You mean 3/8 right?
3/8=0.375
Answer:
0.375
Step-by-step explanation:
(✿◡‿◡) <-- she wants brainliest
The volume of a cone is 763.02 cubic inches. The radius and height of the cone are equal. What is the radius of the cone?
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
hope this helps
Which function has a range of all real numbers greater than or equal to -4?
A. f(x) = x-4
B. f(x) = -4x
C. f(x) = (x+1)^2 - 4
D. f(x) = -|x-3|-4
Answer:
C. \(f(x)=(x+1)^2-4\)
Step-by-step explanation:
A. the graph is a straight line with slope 1. It goes up/down infinitely far so the range is all real numbers. Not A!
B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers. Not B!
D. The graph is an absolute value function y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units. So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units. The range is all real numbers less than or equal to -4.
See the attached graphs. image2 is the function in answer choice D.
Please help- its the last one i have to get done
36
Step-by-step explanation:
5x-6+3x+90=180
8x+84=180
8x=96
x=12
Plug it in to 3x
3x12=36
Find the slope of the line passing through (5,2) and (8,3).
Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
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statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical
Let $$\mathbf { u } , \mathbf { v } , \text { and } \mathbf { w }$$ be vectors. Which of the following make sense, and which do not? Give reasons for your answers. $$
a.( \mathbf { u } \times \mathbf { v } ) \cdot \mathbf { w }\quad
b. \mathbf { u } \times ( \mathbf { v } \cdot \mathbf { w } )\ quad
c. \mathbf { u } \times ( \mathbf { v } \times \mathbf { w } )\quad
d. \mathbf { u } \cdot ( \mathbf { v } \cdot \mathbf { w } ).$$
(u × v) • w makes sense, since u × v is another vector, and so (u × v) • w is a scalar.
u × (v • w) does not make sense, since v • w is a scalar, and the cross product is not defined between a vector and a scalar.
(u × v) × w makes sense, since u × v is a vector and so is w.
u • (v • w) does not make sense, since v • w is scalar, and the dot product is not defined between a vector and a scalar.
What kind of a triangle will be formed if the sides measure 12 cm and 20 cm?
A scalene form of a triangle, based on the measurements provided.
In an obtuse triangle with different-length sides, the longest side goes as follows: longest side^2>otherside + otherside
20^2 > 8^2+12^2
400>64 + 144
400 > 208.
An unusually formed triangle called a scalene triangle has sides that are also irregularly sized. Angle sum property states that the angles of a scalene triangle must always sum to 180 degrees.
For each of its three sides and each of its three angles, a scalene triangle has a variable length, making it a unique triangle. But all interior angles add up to 180 degrees in total.
The name "scalene" is connected to the Greek term "skalenos," which described a triangle with odd sides.
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Complete question : What kind of a triangle will be formed if the sides measure 12 cm, 8 cm
and 20 cm?
Using the binomial distribution, the probability that at least flights are on time is?
the probability that at least flights are on time is
P(7) + P(8) + P(9) + P(10)
To calculate the probability that at least a certain number of flights are on time using the binomial distribution, we need the probability of success (p), the number of trials (n), and the desired number of successful trials.
Let's assume we have the following information:
Probability of a flight being on time: p = 0.8 (80%)
Number of flights: n = 10
To find the probability that at least a certain number of flights are on time, we need to sum the probabilities of the desired number of successful trials and all higher numbers of successful trials.
Let's say we want to find the probability of at least 7 flights being on time.
P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)
Using the binomial probability formula: P(x) = C(n, x) * p^x * (1-p)^(n-x)
where C(n, x) represents the number of combinations of n items taken x at a time.
Calculating the probabilities: P(7) = C(10, 7) * (0.8)^7 * (0.2)^(10-7) P(8) = C(10, 8) * (0.8)^8 * (0.2)^(10-8) P(9) = C(10, 9) * (0.8)^9 * (0.2)^(10-9) P(10) = C(10, 10) * (0.8)^10 * (0.2)^(10-10)
Finally, we sum up these probabilities to get the probability of at least 7 flights being on time.
P(at least 7 flights on time) = P(7) + P(8) + P(9) + P(10)
Performing the calculations will give us the specific probabilities and the final probability.
Complete Question :- According to an airline, flights on a certain route are on time 75% of the time. Suppose 24 flights are randomly selected and the number of on-time flights is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 14 flights are on time.
(c) Find and interpret the probability that fewer than 14 flights are on time.
(d) Find and interpret the probability that at least 14 flights are on time.
(e) Find and interpret the probability that between 12 and 14 flights, inclusive, are on time.
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can you pls help me
Answer: Again a help.
This equation shows how the total number of postcards Jared buys is related to the number of days he spends on vacation.
p = 3d
The variable d represents the number of days he spends on vacation, and the variable p represents the total number of postcards he buys. After 3 days of vacation, how many total postcards will Jared have bought?
Answer:
Postcards bought was 9
Step-by-step explanation:
P = 3Dwhere,
P = total number of postcards D = days of vacation = 3 days⟼ P = 3D
prince number of days of vacation is 3 therefore we multiply 3 by 3
⟼ P = 3(3)
multiply 3 by 3
⟼ P = 9
\( \therefore\) Jared bought 9 postcards
There's a case where a sampling distribution qualifies as a binomial setting. Describe this case, using the criteria for a binomial distribution.
A binomial distribution is one that results from performing a fixed number of trials in which there are two possible outcomes: success or failure.
When the following four conditions are met, we can use a binomial distribution to model a random variable: Each trial must be independent. The probability of success must be constant across trials. The trials must be identical in nature. The number of trials is fixed. When a sampling distribution qualifies as a binomial setting, it meets the criteria for a binomial distribution. This can happen when you perform a fixed number of independent trials, each with only two possible outcomes and a fixed probability of success. Consider the example of flipping a coin: if you flip a coin 10 times, you have a fixed number of trials, each with only two possible outcomes (heads or tails) and a fixed probability of success (0.5). In order for a sampling distribution to qualify as a binomial setting, the following criteria must be met: Each trial must be independent. The probability of success must be constant across trials. The trials must be identical in nature. The number of trials is fixed. If these criteria are met, then a binomial distribution can be used to model the random variable of interest. This can be useful in a variety of applications, from polling to quality control to medical research.
In conclusion, a sampling distribution qualifies as a binomial setting when there are a fixed number of trials with only two possible outcomes, and each trial is independent, has a fixed probability of success, is identical in nature, and the number of trials is fixed. By meeting these criteria, we can use a binomial distribution to model the random variable of interest. This is an important tool for a wide variety of applications, and understanding the criteria for a binomial distribution is essential for using it effectively.
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can someone help me here? it's asking to explain in words where the mistake in the solution of the inequality is.
Answer and Step-by-step explanation:
The mistake is that the sign (<) isn't flipped.
When a negative number is multiplied, the sign of the inequality flips to go the other way, so < would go >.
The mistake occurs in the second to last line. When you divide both sides by a negative number, the inequality sign should flip.
So the answer should be x > -5 instead of x < -5.
---------------------------
Here's why the inequality sign flips
Let's start with the inequality -2x < 10. Add 2x to both sides and we get 0 < 10+2x which is the same as 0 < 2x+10
Then subtract 10 from both sides to end up with -10 < 2x
We can flip both sides of -10 < 2x to end up with 2x > -10. Note the inequality sign flips, as well as the left and right sides.
Afterward, we solve 2x > -10 by dividing both sides by 2 to get x > -5. The inequality sign does not flip when we divide both sides by a positive number.
The perimeter of the rectangle is 32 inches. what is the formula that shows the length of side c?
Answer:
Step-by-step explanation:
2(x+y)=32 means :
x+y =16
how do I find the 17th term of a18=-2 , d=-5
Answer:
a17=3
Step-by-step explanation:
an=a1+(n−1)d geometric sequence formula
-2=a1+(18-1)(-5)
-2=a1+17(-5)
-2=a1-85
a1=83
a17=83+(17-1)(-5)
a17=83+16(-5)
a17=83-80
a17=3
Hope this helps! Please mark brainliest :)
4h + 6 = 30
h =___?
Im in 7th grade and I really need help
Answer: h = 6
explanation:
first u get h by itself
4h + 6 = 30
subtract 6 from both sides
4h = 24
divide by 4 on both sides
h = 6
Answer:h=3/13
Step-by-step explanation: Subtract 6 from both sides of the equation 4h+6-6=30h-6 you simplify 4h=30h-6. Subtract 30h from both sides of the equation then you get -26h=-6 then you divide both sides of the equation by the same term -26h/-26=-6/-26 and your answer is 3/13.
balance, and hers has a $255,268 balance What amount of FDiC coverage do Tony and Cynthia have on their accounts? What amount of FDIC coverege do Tony and Cynthia have on their accounts? (Select the best answer below) A. Tony's account balance of $136,790 is completely covered as is their joint account of $47,324, both accounts are under the $250,000 FDIC limit. Oynthia's accot B. Tony's account balance of $136,790 is completely covered as is their joint account of $47,324; both accounts are under the $250,000 FDIC limit. Cynthia's accou C. Tony's account balance of $136,790 is not covered and neither is their point account of $47,324. This is because Cynthia's account balance of $255, 268 is over the D. Tony and Cynthia have a total of $439.382 in this institution. Each institution is insured up to $250,000, so they are over the insurance limit by $189,382 and shou amount of FDIC coverage do Tony and Cynthia have on their accounts? (Select Tony's account balance of $136,790 is completely covered as is their joint accou Tony's account balance of $136,790 is completely covered as is their joint accoun Tony's account balance of $136,790 is not covered and neither is their joint accot Tony and Cynthia have a total of $439,382 in this institution. Each institution is ins
Tony's account balance of $136,790 is completely covered as is their joint account of $47,324; both accounts are under the $250,000 FDIC limit.
According to the given information, Tony's individual account balance is $136,790, which is below the $250,000 FDIC limit. Therefore, Tony's account is fully covered by FDIC insurance.
Additionally, their joint account balance is $47,324, which is also below the $250,000 limit. Joint accounts are insured separately from individual accounts, so their joint account is fully covered as well.
However, Cynthia's account balance of $255,268 exceeds the $250,000 FDIC limit. As a result, Cynthia's account is not fully covered by FDIC insurance.
Therefore, Tony's account balance and their joint account are completely covered by FDIC insurance, but Cynthia's account exceeds the coverage limit.
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2. Consider the system defined by the impulse response h(n)=28(n+3)+28(n)+28(n-3). a) b) c) d) z Represent h(n). (1 v.) Characterize the system in terms of causality and stability. Justify. (1 v.) Determine the frequency response of the system H(ew). (1 v.) Represent module and phase of the system. (1 v.)
The system defined by the impulse response h(n) = 28(n+3) + 28n + 28(n-3) can be represented as h(n) = 28δ(n+3) + 28δ(n) + 28δ(n-3), where δ(n) denotes the unit impulse function.
In terms of causality, we can determine whether the system is causal by examining the impulse response. If the impulse response h(n) is non-zero only for n ≥ 0, then the system is causal. In this case, since the impulse response h(n) is non-zero for n = -3, 0, and 3, the system is not causal.
To determine the stability of the system, we need to examine the summation of the absolute values of the impulse response. If the summation is finite, the system is stable. In this case, we can calculate the summation as ∑|h(n)| = 28 + 28 + 28 = 84, which is finite. Therefore, the system is stable.
However, since the impulse response is given in the time domain and not in a closed-form expression, it is not possible to directly determine the frequency response without further manipulation or additional information.
Given the absence of specific frequency domain information or a closed-form expression for the frequency response, it is not possible to accurately represent the module and phase of the system H(e^ω) without further calculations or additional details about the system.
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What is the probability of choosing a queen, a king or an ace from a standard deck of playing cards??
Answer:
3/13
Step-by-step explanation:
There are 52 cards in a regular deck.
Among these are 4 each of K, Q and A, for a total of 12.
The probability of choosing a K, Q or A is therefore 12/52, or 3/13
Answer:
the first one 3/13 for sure :))