Answer:
x=1
Multiply both sides by 10 (13)10-0.5(2x-6)*10+2x(10)=17*10Refine 130-5(2x-6)+20x=170Subtract 300 from both sidesSimplify -5(2x-6)+20x=40Expand 10x+30=40Subtract 30 from both sidesSimplify 10x=10Divide both sides by 10Simplify x=1:) Hope you enjoy this :)Look at the steps and find the pattern. Step one has 6 step two has 14 step three has 21 how many dots are in the 5th step
As per the details given, there are 37 dots in the 5th step.
To locate the pattern and decide the range of dots in the 5th step, allow's examine the given records:
Step 1: 6 dots
Step 2: 14 dots
Step 3: 21 dots
Looking on the variations between consecutive steps, we will see that the quantity of additional dots in each step is growing via eight.
In other phrases, the distinction among Step 1 and Step 2 is eight, and the difference between Step 2 and Step 3 is likewise eight.
Thus, we can preserve this sample to decide the quantity of dots within the 4th and 5th steps:
Step 4: 21 + 8 = 29 dots
Step 5: 29 + 8 = 37 dots
Therefore, there are 37 dots in the 5th step.
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Please help! Correct answer only!
Juan and his stepmother wanted to start volunteering together. They found 8 opportunities online, 3 of which involved working in nature.
If they randomly applied to 4 of the opportunities in a specific order, what is the probability that just the first 2 of the chosen opportunities involve working in nature?
Write your answer as a decimal rounded to four decimal places.
Answer:
0.0714
Step-by-step explanation:
The probability that the first is "working in nature" is 3/8.
The probability that the 2nd is "working in nature" is 2/7.
The probability that the 3rd is "not working in nature" is 5/6.
The probability that the 4th is "not working in nature" is 4/5.
Thus the probability that the first two of 4 opportunities are "working in nature" is ...
(3·2·5·4)/(8·7·6·5) = 1/14 ≈ 0.0714
i need helppppppppp plsssssssssssssssss
Answer:
Step-by-step explanation:
A!
Answer: Function A is faster by 1 meter per second.
Step-by-step explanation:
The first function has a greater speed because by taking the meters per second, you get 14 meters per second. Meanwhile, function B has only 13 meters per second, therefore function A is faster by 1 meter per second.
A certain city garden has 64 flowers and 24 decora-
tive shrubs planted. The garden planner wants to
plant more flowers until the ratio of flowers to
shrubs is 12:1. How many more flowers will the
garden planner need?
Answer:
224 more flowers
Step-by-step explanation:
If the planner wants the ratio of flowers to shrubs to be 12:1, that means there will be 12 times as many flowers as shrubs.
Find what 12 times the number of shrubs is:
24(12)
= 288
So, the planner will need 288 flowers in total.
Find how many more he needs to plant by subtracting the current amount of flowers from 288:
288 - 64
= 224
So, the garden planner will need 224 more flowers.
Find
f ∘ g
and
g ∘ f.
f(x) = x3, g(x) = x2/3
(a)
f ∘ g
(b)
g ∘ f
Find the domain of each function and each composite function. (Enter your answers using interval notation.)
domain of f domain of g domain of f ∘ g domain of g ∘ f
The composite functions f ∘ g and g ∘ f are:
domain of f = (-∞, ∞)
domain of g = (-∞, ∞)
domain of f ∘ g = (-∞, ∞)
domain of g ∘ f = (-∞, ∞)
The composite functions f ∘ g and g ∘ f are formed by plugging one function into the other. To find f ∘ g, we plug the function g into the function f:
f ∘ g = f(g(x)) = f(x2/3) = (x2/3)3 = x2
To find g ∘ f, we plug the function f into the function g:
g ∘ f = g(f(x)) = g(x3) = (x3)2/3 = x2
The domain of a function is the set of all possible values of x that make the function defined. The domain of f is all real numbers, since the function f(x) = x3 is defined for all values of x:
domain of f = (-∞, ∞)
The domain of g is also all real numbers, since the function g(x) = x2/3 is defined for all values of x:
domain of g = (-∞, ∞)
The domain of f ∘ g is the intersection of the domain of f and the domain of g, which is all real numbers:
domain of f ∘ g = (-∞, ∞)
The domain of g ∘ f is also the intersection of the domain of g and the domain of f, which is all real numbers:
domain of g ∘ f = (-∞, ∞)
Therefore, the answers are:
domain of f = (-∞, ∞)
domain of g = (-∞, ∞)
domain of f ∘ g = (-∞, ∞)
domain of g ∘ f = (-∞, ∞)
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I need help to fill in the blank for how to solve the equations with the brackets.
“When you see the brackets inside an equation, you’ll need to get rid of the brackets (to access the terms inside), which means you’ll need to ______________ the equation.”
What word is missing that goes with the math statement?
Answer:
take out or aluminate i think
Step-by-step explanation:
Find the curve length of C: x=cos3t,y=sin3t;0≤t≤π/2
the curve length of C over the interval 0 ≤ t ≤ π/2 is (3π/2) units.
What is Parametric curve?
To find the curve length of the curve C defined by the parametric equations x = cos(3t) and y = sin(3t), where t ranges from 0 to π/2, we can use the arc length formula for parametric curves.
The arc length formula for a parametric curve defined by x = f(t) and y = g(t), where a ≤ t ≤ b, is given by:
\(L = ∫[a, b] √[ (dx/dt)^2 + (dy/dt)^2 ] dt\)
Let's calculate the arc length for the given curve C:
x = cos(3t)
y = sin(3t)
First, we need to find the derivatives dx/dt and dy/dt:
dx/dt = -3sin(3t)
dy/dt = 3cos(3t)
Now, let's substitute these derivatives into the arc length formula:
\(L = ∫[0, π/2] √[ (-3sin(3t))^2 + (3cos(3t))^2 ] dt\)
\(L = ∫[0, π/2] √[ 9sin^2(3t) + 9cos^2(3t) ] dtL = ∫[0, π/2] 3 √[ sin^2(3t) + cos^2(3t) ] dtL = ∫[0, π/2] 3 dtL = 3[t] from 0 to π/2L = 3(π/2 - 0)L = 3π/2\)
Therefore, the curve length of C over the interval 0 ≤ t ≤ π/2 is (3π/2) units.
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......................
Answer:
C i think
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
f(x) = x2 − x − ln(x)
(a) Find the interval on which f is increasing. (Enter your answer using interval notation.)
Find the interval on which f is decreasing. (Enter your answer using interval notation.)
(b) Find the local minimum and maximum value of f.
(c) Find the inflection point.
(a) The interval on which f is increasing: (0, ∞)
The interval on which f is decreasing: (0, 1)
(b) Local minimum: At x = 1, f(x) has a local minimum value of -1.
There is no local maximum value.
(c) Inflection point: At x ≈ 0.293, f(x) has an inflection point.
The function f(x) = x^2 - x - ln(x) is a quadratic function combined with a logarithmic function.
To find the interval on which f is increasing, we need to determine where the derivative of f(x) is positive. Taking the derivative of f(x), we get f'(x) = 2x - 1 - 1/x. Setting f'(x) > 0, we solve the inequality 2x - 1 - 1/x > 0. Simplifying it further, we obtain x > 1. Therefore, the interval on which f is increasing is (0, ∞).
To find the interval on which f is decreasing, we need to determine where the derivative of f(x) is negative. Solving the inequality 2x - 1 - 1/x < 0, we get 0 < x < 1. Thus, the interval on which f is decreasing is (0, 1).
The local minimum is found by locating the critical point where f'(x) changes from negative to positive. In this case, it occurs at x = 1. Evaluating f(1), we find that the local minimum value is -1.
There is no local maximum in this function since the derivative does not change from positive to negative.
The inflection point is the point where the concavity of the function changes. To find it, we need to determine where the second derivative of f(x) changes sign. Taking the second derivative, we get f''(x) = 2 + 1/x^2. Setting f''(x) = 0, we find x = 0. Taking the sign of f''(x) for values less than and greater than x = 0, we observe that the concavity changes at x ≈ 0.293. Therefore, this is the inflection point of the function.
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approximate 0.0007925 correct to 3 significant figures
Answer:
0.00079
Step-by-step explanation:
Answer: a, b, d, are correct
................
charles owns a catering business. the amount his 10 most recent clients spent is shown in the histogram below. a bar graph is entitled cost per event. the event cost is on the x-axis and the number of events is on the y-axis. there are 2 events with a cost of 1,000-1,499; 4 with a cost of 1,500 to 1,999; 3 with a cost of 2,000 to 2,499; 1 with a cost of 3,000 to 3,499. why is the graph misleading?
The graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.
What is a misleading graph?
A misleading graph, sometimes referred to as a distorted graph, misrepresents data, amounts to statistical abuse, and may lead to the drawing of an inaccurate conclusion.
What is a data set?
A data set is a grouping of connected, discrete pieces of connected data that can be viewed separately, together, or handled as a single unit. A data structure of some kind is used to arrange a data set.
Here, we have
2 events with a cost of 1,000-1,499;
4 events with a cost of 1,500 to 1,999;
3 events with a cost of 2,000 to 2,499;
1 event with a cost of 3,000 to 3,499
We concluded from the given dataset that the cost of the event is plotted on the x-axis.
In a given dataset, the entry from 2500 to 2599 is missing.
The graph generates a point cluster that isn't actually displayed on the data components because of the missing item.
Hence, the graph is misleading because the x-axis scale shows that the given data is more clustered than it actually is.
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hi i will mark brainlist !!!!!!!!!
*give me some good examples of some : Struggles our founding fathers faced when creating our new nation
* explain how strengths and the weaknesses in the Articles of Confederation
\(Question\)
*give me some good examples of some : Struggles our founding fathers faced when creating our new nation
* explain how strengths and the weaknesses in the Articles of Confederation
Answer:
1. Many of them disagreed on things such as slavery and the ways to equalize power. Their other big obstacle was maintaining the same level of power throughout the government along with making the states happy.
2.
There was only one vote per state, regardless of its size
There was no power to regulate commerce or trade between the states - each state could put tariffs on trade between states
The National Government did not have the independent power to tax.
\(Weaknesses\)↑
\(Strengths\)↓
The Articles of Confederation were a written agreement and the first constitution of the United States of America.
The authority to declare war and make peace
The Articles of Confederation gave Congress the power to manage Native Indian affairs
Hope this helps!!
\(xXxAnimexXx\)
Whoever gets it right get s brainlest This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic meters?
16 m3
24 m3
48 m3
144 m3
Answer:
48
Step-by-step explanation:
8x3x2= 48
Answer:
its 48
Step-by-step explanation:
8x3x2= 48
LOOK AT PIC TO UNDERSTAND. NEED HELP ASAP
Answer:
Monday 1. -2a^2-4b-ab
Monday 2. c^11-2c
Monday 3. d^12 (if its not a five but four then) d^11
Tuesday 4. e^2 (Could be wrong lowkey couldn't read it)
Tuesday 5. f^11/9^22
Tuesday 6. g^17
Wednesday 7. h^12 (Could be wrong lowkey couldn't read it)
Wednesday 8. y^15
Wednesday 9. 8^24
Thursday 10. m^11/13 (Could be wrong lowkey couldn't read it)
Thursday 11. 9
Thursday 12. 1
The statement “If 2(3a-4)=12, then 6a - 8 = 12” is justified by the…
The statement "If 23a - 4 = 12 , then 6a - 8 = 12 " is justified by the Distributive property.
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
By applying the distributive property of multiplication to left side of the equation, we have the following:
2(3a - 4) = 12
6a - 8 = 12
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Complete Question:
The statement "If 2(3a - 4) = 12 , then 6a - 8 = 12 " is justified by the .....
Multiplication property of equals
Associative property of multiplication
Distributive property
Addition property of equals.
Charlotte owns two entertainment websites. Here are some details about those websites for one entire month:
Website A Website B
Number of writers 555 111111
Number of posts posted 110110110 200200200
Average number of words of post 100100100 170170170
Average likes per post 350035003500 350035003500
Average comments per post 500500500 450450450
Number of new subscribers 900090009000 20{,}00020,00020, comma, 000
Revenue \$30{,}000$30,000dollar sign, 30, comma, 000 \$75{,}000$75,000dollar sign, 75, comma, 000
Expenses \$20{,}000$20,000dollar sign, 20, comma, 000 \$47{,}000$47,000dollar sign, 47, comma, 000
Profit (Revenue-−minusExpenses) \$10{,}000$10,000dollar sign, 10, comma, 000 \$28{,}000$28,000dollar sign, 28, comma, 000
Charlotte wants to know which website generates more revenue per amount of content.
1) Charlotte thought of two different ways to define this quantity. Identify these two definitions among the following options.
Choose 2 answers:
Choose 2 answers:
(Choice A)
A
Revenue divided by number of posts
(Choice B)
B
Revenue divided by total number of words
(Choice C)
C
Revenue divided by number of writers
(Choice D)
D
Number of new subscribers divided by total number of words
2) Determine which website generates more revenue per amount of content according to the two definitions. Did you get the same result for both definitions?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes. According to both definitions, website A generates more revenue per amount of content.
(Choice B)
B
Yes. According to both definitions, website B generates more revenue per amount of content.
(Choice C)
C
No. The definitions have opposite results.
Answer:
Part 1:
Revenue divided by number of posts
Revenue divided by total number of words
Part 2:
No. The definitions have opposite results.
Step-by-step explanation:
When you divide revenue by total number of words remember to do words*posts to get total.
Example: $30000/100*110 = 2.72
A trapezoid has a height of 10 centimeters. One parallel base has a length of 7 centimeters, and the other parallel base has a length of 13 centimeters.
What is the area of the trapezoid?
Need to Find :- The area of the trapezium.
We are here provided with height and two parallel bases of trapezium and we are interested in finding out the area of the trapezium.
As we know that,
\(\implies\sf \red{Area_{trapezium}= \dfrac{1}{2}\times (sum\ of \ parallel\ sides )\times height}\)
On substituting the respective values,
\(\sf: \implies Area =\dfrac{1}{2}\times (7cm +13cm)\times 10cm \\ \)
\(\sf : \implies Area = 20cm \times 5cm \\\)
\(\sf : \implies \underline{\boxed{\pink{\frak{ Area = 100cm^2}}}}\\\)
\(\underline{\underline{\textsf{ $\therefore$Hence the area of the trapezium is \textbf{100 cm$\bf ^2$ }.}}}\)
Given :
Base = 7 cm and 13 cm.Height = 10 cm.To find :
Area of trapezoid.Solution :
We know,
\({\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (b_{1} + b_{2}) \times h} }}\)
Now, Substituting the values :
\({\qquad \dashrightarrow{ \sf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times (7 + 13) \times 10} }}\)
\({\qquad \dashrightarrow{ \sf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times 20 \times 10} }}\)
\({\qquad \dashrightarrow{ \sf{Area_{(Trapezoid)}= \dfrac{1}{2 } \times 200} }}\)
\({\qquad \dashrightarrow{ \bf{Area_{(Trapezoid)}=100} }}\)
Therefore,
The area of the trapezoid is 100 cm² .Using the graph below, identify the transformation from ABC to A'B'C'. ?
Answer: Reflection over the x-axis
Step-by-step explanation: This graph represents the transformation of a reflection over the x-axis because each x-coordinate stays the same but each y-coordinate becomes the positive version of the original negative y-coordinates. ABC and A'B'C' are symmetrical with the line of symmetry being the x-axis.
Below shows the angle of refraction of an unknown liquid when a light shines through it. Determine the refractive index of the liquid. Round your answer to 3 decimal places.
n1 = 1.0003 x sin (angle 2)
sin (30)
Refractive index of the given unknown liquid = 0.500.
What is angle?
Angle is a geometric figure formed by two rays, called the sides of the angle, that have a common endpoint, called the vertex. An angle is measured in degrees, with a full circle representing 360°.
The refractive index of a material is a measure of how much light is bent when it enters the material from a medium with a different refractive index. When light enters a material with a higher refractive index, it bends towards the normal. The angle of refraction can be used to calculate the refractive index of a material. In this case, the unknown liquid’s refractive index is determined by measuring the angle of refraction.
The angle of refraction of the unknown liquid was 30 degrees, which was used to calculate the refractive index. Using the equation n1 = 1.0003 x sin (angle 2), the refractive index of the liquid was determined to be 0.50015, which was rounded to 3 decimal places to give a result of 0.500.
The refractive index of a material is an important measure of how light behaves when it interacts with a material. Knowing the refractive index of a material is important for applications such as computing the path of light through optical lenses or calculating the velocity of light in various materials, as well as for analyzing the behavior of materials such as metals, plastics and liquids.
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Consider y = - 8x
Complete the table for the equation.
X y
-1 ?
0 ?
1 ?
Find the quotient 122 and -2.
A. 124
B. 61
C. 61
D. 120
Answer:
C
Step-by-step explanation:
The true answer is -61
Tip: If you want the correct answer you can not have a typo. Just a heads up.
I dont understand how to do intercept from a equation can anyone help me
cheap answer, to get the x-intercepts, set x = 0 and solve for "y", to get the y-intercept, set y = 0 and solve for "x".
\(y-6=4(x+5) \\\\[-0.35em] ~\dotfill\\\\ y-6=4(\stackrel{x}{0}+5)\implies y-6=20\implies y=26~\hfill \stackrel{y-intercept}{(0~~,~~26)} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}-6=4(x+5)\implies -6=4x+20\implies -26=4x \\\\\\ \cfrac{-26}{4}=x \implies -\cfrac{13}{2}=x\implies -6\frac{1}{2}=x ~\hfill \stackrel{x-intercept}{\left( -6\frac{1}{2}~~,~~0 \right)}\)
Dusty has a summer lawn-mowing business. In one week, he mows 20 lawns and earns a total of $450. If he charges the same amount for each lawn, how much does Dusty charge to mow a lawn?
Answer:
Step-by-step explanation:
Write in slope-intercept form,
y=mx + b. − mowing, week, 20, 450
9. [-/5 Points] DETAILS ASWSBE14 6.E.022. You may need to use the appropriate appendix table to answer this question. Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal
a) the probability that a household views television between 4 and 11 hours a day is approximately 0.8485.
b) a household must have approximately 13.48 hours of television viewing to be in the top 2% of all television viewing households.
c) the probability that a household views television more than 5 hours a day is approximately 0.9099.
To answer the given questions, we will use the normal probability distribution with a mean of 8.35 hours and a standard deviation of 2.5 hours.
(a) Probability that a household views television between 4 and 11 hours a day:
We need to find the area under the normal curve between 4 and 11 hours. To do this, we calculate the z-scores for both values:
z1 = (4 - 8.35) / 2.5
z2 = (11 - 8.35) / 2.5
Using a standard normal distribution table or a calculator, we can find the corresponding probabilities:
P(4 < X < 11) = P(z1 < Z < z2)
After finding the z-scores and referring to the standard normal distribution table, we find:
P(4 < X < 11) ≈ P(-1.34 < Z < 1.06) ≈ 0.8485
Therefore, the probability that a household views television between 4 and 11 hours a day is approximately 0.8485.
(b) Hours of television viewing for the top 2% of households:
To find the number of hours of television viewing for the top 2% of households, we need to determine the z-score that corresponds to the 98th percentile.
Using the standard normal distribution table or a calculator, we find the z-score corresponding to the 98th percentile is approximately 2.05.
Now we can use the z-score formula to find the number of hours:
z = (X - μ) / σ
Solving for X:
2.05 = (X - 8.35) / 2.5
X - 8.35 = 2.05 * 2.5
X - 8.35 = 5.125
X ≈ 13.475
Therefore, a household must have approximately 13.48 hours of television viewing to be in the top 2% of all television viewing households.
(c) Probability that a household views television more than 5 hours a day:
We need to find the area under the normal curve to the right of 5 hours. Using the z-score formula:
z = (5 - 8.35) / 2.5
z ≈ -1.34
Referring to the standard normal distribution table, we find:
P(X > 5) ≈ P(Z > -1.34) ≈ 0.9099
Therefore, the probability that a household views television more than 5 hours a day is approximately 0.9099.
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Note the complete questions is
You may need to use the appropriate appendix table to answer this question. Suppose that the mean daily viewing time of television is 8.35 hours. Use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household (a) What is the probability that a household views television between 4 and 11 hours a day? (Round your answer to four decimal places.) (b) How many hours of television viewing must a household have in order to be in the top 2% of all television viewing households? (Round your answer to two decimal places.) hrs (c) What is the probability that a household views television more than 5 hours a day? (Round your answer to four decimal places.)
what is 2pm in military time?
To convert 2 pm in the 12-hour clock format to military time, we add 12 to the hour to get 14, and the minutes remain the same, resulting in a military time of 14:00pm.
In military time, the day is divided into 24 hours, starting from midnight (00:00 hours) and ending at 23:59 hours. Each hour is numbered from 0 to 23, instead of repeating the numbers from 1 to 12 twice in a day.
Military time uses a four-digit number to represent the time, where the first two digits represent the hour and the last two digits represent the minutes.
To convert 2 pm in the 12-hour clock format to military time, we need to add 12 to the hour since 2 pm is in the afternoon and military time does not use the "am" or "pm" designations.
So, 2 pm in military time would be 14:00 hours, where 14 represents 2 pm in the 24-hour clock format.
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draw an appropriate tree diagram, and use the multiplication principle to calculate the probabilities of all the outcomes. hint [see example 3.]there is a 60% chance of rain today and a 60% chance of rain tomorrow. assume that the event that it rains today is independent of the event that it rains tomorrow. what is the probability that there will be no rain today and no rain tomorrow?
An appropriate tree diagram.
/ \
/ \
0.6 / \ 0.4
/ \
R NR
/ \ / \
/ \ / \
0.6 0.4 0.6 0.4
R NR R NR
Where R represents rain and NR represents no rain.
By using the multiplication principle, we can calculate the probabilities of all the outcomes by multiplying the probabilities along each path. The probability of there being no rain today and no rain tomorrow is the probability of following the path NR-NR, which has a probability of
P(NR-NR) = P(NR|NR) * P(NR) = 0.4 * 0.4 = 0.16
Hence, the probability that there will be no rain today and no rain tomorrow is 0.16 or 16%.
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If sally has 10 lollipops and gives 3 away but then but 14 more and eats 3
how many lollipops does sally have? If it is correct you can get points and brainilist
A) 13
B) 3
C) 20
D) 18
Answer:
D) 18!
Step-by-step explanation:
HAHAHAHAHH BESTIEE
How many different ways are there to arrange the letters of the word MATH?
Answer:
More than 20. I'll be more precise. There are 24 ways.
Answer:
17
Step-by-step explanation:
Here is the question i was trying to talk about, Ace before brainly decided to deleted the numbers =.=
Answer:
done by a calculator =w=
A college biology teacher wants to know whether being tutored at the
study lab will help her students score higher on their final exam. She
randomly selects 60 students from among the four sections of
Introductory Biology that she teaches. Then she randomly divides
them into two groups of 30 students each. Group A will be tutored at
the study lab, and group B will not be tutored at the study lab. After all
60 students take their final exam, she will compare their results.
Which of these are the treatments in this experiment?
A. Taking a morning biology class and taking an afternoon biology
class
B. Being tutored at the study lab and not being tutored at the study
lab
C. Having taken high school biology and not having taken high
school biology
O D. Being one of the 60 students selected and not being one of the 60
students selected