Answer:
The answer is A)
Step-by-step explanation:
Jeremy can buy two tacos at 75 cents each and a medium drink for $1.00—or a "value meal" with three tacos and a medium drink for $3. For him, the marginal cost of the third taco would be?
A. 0
B. $0.75
C. $1.00
D. $0.50
Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.
Buying two tacos individually:
Cost of two tacos: 2 tacos * $0.75/taco = $1.50Buying the value meal with three tacos:
Cost of the value meal: $3.00To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:
Marginal cost = Cost of buying two tacos individually - Cost of the value mealMarginal cost = $1.50 - $3.00Marginal cost = -$1.50
The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).
Do you think sampling techniques were
used to collect this population data? Explain your
reasoning.
Yes, sampling procedures were utilized to gather this demographic data since it would be quite difficult to count 150,000 people directly.
what is sample ?The sample size is the quantity of data used to derive estimates for a certain population. The sample size was determined from the population. The number of people or observations included in a study is referred to as the "sample size." This number is frequently shown as n. Two statistical factors are affected by sample size: 1) The accuracy of our estimations; 2) Research's capacity to draw inferences. Samples are the outcomes of random tests. In sampling, a specific value is selected from a set of possible values. This unique value is a sample. The potential values and probabilities of the random variable are determined by its probability distribution.
given
To establish a representative sample, where the small population (sample) perfectly represents the traits of the larger group, is sampling's main objective (population).
Yes, sampling procedures were utilized to gather this demographic data since it would be quite difficult to count 150,000 people directly.
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Henry bought 49 packs of red balloons, 66 packs of blue balloons and 35 packs of yellow balloons. Each contained 12 balloons. He mixed them up and gave away some balloons. He then repacked the balance into packs of 25 a. How many balloons were there altogether b. He gave away 225 balloons. How many large packs of 25 balloons were there c. Henry paid $3 for each pack of the dozen balloons. He sold each new pack of 25 balloons for $10. How much money did he make?
There were 1575 balloons altogether. There were 63 packs of 25 balloons. Henry made $15,750 when each pack of dozen balloons is $3.
a. Number of balloons altogether:
To find out how many balloons there are altogether, we need to calculate the number of balloons in each pack and then add up the number of balloons in all the packs.
Each pack contains 12 balloons, so:
Red balloons: 49 packs x 12 balloons/pack = 588
blue balloons: 66 packs x 12 balloons/pack = 792
yellow balloons: 35 packs x 12 balloons/pack = 420
Total balloons: 588 + 792 + 420 = 1,800 balloons
b. Number of large packs of 25 balloons:
Henry gave away 225 balloons.
Therefore, the number of balloons that were repacked into large packs of 25 balloons is:
Total balloons - Balloons given away = 1,800 - 225 = 1,575 balloons
Since each pack contains 25 balloons, the number of packs is:
1,575 balloons ÷ 25 balloons/pack = 63 packs of 25 balloons
c. Amount of money Henry made:
Henry paid $3 for each pack of dozen balloons.
Therefore, he paid:
$3/pack x 12 balloons/pack = $36/dozen balloons
He repacked the balance into packs of 25 balloons and sold each pack for $10.
Therefore, he sold:
$10/pack x 25 balloons/pack = $250 for each pack of 25 balloons
He had 63 packs of 25 balloons to sell.
Therefore, he made:$250/pack x 63 packs = $15,750
Therefore, the amount of money Henry made is $15,750.
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If the marginal propensity to consume is 0.5, the multiplier is:
a. 0.5
b. 5
c. 2
d. 1
The multiplier, calculated as the reciprocal of the marginal propensity to save or one minus the marginal propensity to consume, is 2 when the marginal propensity to consume is 0.5. This means that a change in autonomous spending will have twice the impact on the overall level of economic activity. The correct answer is c.
The multiplier represents the effect of a change in autonomous spending on the overall level of economic activity.
It is calculated as the reciprocal of the marginal propensity to save (MPS) or, alternatively, as the reciprocal of one minus the marginal propensity to consume (MPC).
In this case, the given information is that the marginal propensity to consume (MPC) is 0.5. Therefore, the marginal propensity to save (MPS) would be 1 - 0.5 = 0.5.
The multiplier is calculated as 1 / MPS or 1 / (1 - MPC). Plugging in the values, we have:
Multiplier = 1 / 0.5 = 2
Therefore, the correct answer is c. 2. The multiplier of 2 means that a change in autonomous spending will have twice the impact on the overall level of economic activity.
For example, if there is an increase in autonomous spending of $100, it will lead to a $200 increase in overall economic output.
Hence, the correct option is c.2.
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Directions - Use the midpoint formula to find the midpoint of the coordinates:
(8, 2) and (0, 10)
A cat is in the top of a tree so you will save it you are standing 23 m away from the tree the angle of elevation to the cat is 54 how long does the ladder need to be fro you to get to get the cat?
The ladder needs to be 34.3m long from tree you to get to get the cat.
We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is 54°
Suppose Hypotenuse equals h.
Given, the base is 23m
Using trigonometry,
tan θ = Base / hypotenuse
tan 54° = 23 / h
⇒ 0.67 = 23 / h
⇒ h = 23 / 0.67
⇒ h = 34.3
So, the ladder needs to be 34.3m away in order to reach cat.
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suppose that buses are scheduled to arrive at a bus stop at noon but are always x minutes late, where x is an exponential random variable with mean of 4 minutes. suppose that you arrive at the bus stop precisely at noon. compute the probability that you have to wait for more than five minutes for the bus to arrive.
\(e^{-5 \lambda}\) is the probability that we have to wait for more than 5 min for the bus to arrive.
What probability exactly is?Mathematical representations of the likelihood that an event will occur or that a statement is true are dealt with in the area of probability.A number between 0 and 1, where 0 roughly denotes impossibility and 1 roughly denotes certainty, is the probability of an event.Axiomatic, classical, empirical, and subjective are the four most popular approaches to probability.So, \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\) ⇒ \(P(x \geq 5)=\int_5^{\infty} f_X(x) d x\)
Now, solving the above function as follows:
\(\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}\)
Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is \(e^{-5 \lambda}\).
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The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\). Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive
darnell wants to limit his screen time last week he spent an average of 3 1/2 h on his phone each day this week he reduced his screen time by 5% to the nearest hour how much does darnell spend on his phone this week
Darnell spends 3.32 hours on his phone this week.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Darnell wants to limit his screen time,
last week he spent an average of 3\(\frac{1}{2}\) hours on his phone each day.
That means, 3.5 hours on the phone.
This week,
he reduced his screen time by 5% to the nearest hour.
That means,
3.5 x 5/100
= 3.5 - 0.17
= 3.32 hours.
Therefore, he spent 3.32 hours this week.
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Risk must be determined by assessing both the magnitude (or severity) and the probability (or likelihood) of harm. Both elements must be considered. Although the probability that an individual subject could be identified is low, the magnitude of the possible harm is high given the sensitivity of the information.
Magnitude refers to the severity of the harm, while probability is the likelihood of it occurring. In the given scenario, even though the probability of identifying an individual subject is low, the high magnitude of harm due to the sensitive nature of the information makes it necessary to consider both elements when determining overall risk.
When determining risk, it is important to take into account both the magnitude and probability of harm. The magnitude refers to the severity or level of harm that could occur, while probability refers to the likelihood of harm occurring. In mathematics, the size or size of a mathematical object is a property that determines whether that object is larger or smaller than other objects of its kind. More formally, the size of an object is the result of identifying (or ranking) the category of objects to which it belongs.
In the given scenario, even though the probability of an individual being identified is low, the magnitude of harm is high due to the sensitivity of the information. Therefore, it is crucial to consider both elements when assessing risk in order to make informed decisions and take necessary precautions.
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Simplify 5 x [(3.14+4.16)x9+2]
Answer:
338.5
Step-by-step explanation:
5(7.3×9+2)
5(65.7×2)
5×67.7
338.5
Answer:
338.5Step-by-step explanation:
__________________________________________________________
\(5\cdot\left(\left(3.14+4.16\right)\cdot9+2\right)\) = \(?\)
\(5\cdot\left(\left(7.3\right)\cdot9+2\right)\) = \(?\)
\(5\cdot\left(65.7+2\right)\) = \(?\)
\(5\cdot\left(67.7\right)\) = \(?\)
\(338.5\)
__________________________________________________________
Hope this helps! <3
__________________________________________________________
The recipe for a large batch of cookies uses 1 kilogram of flour. Another recipe uses 700 grams of flour. How much flour is needed to make two batches of each recipe?
1 kilogram = 1,000 grams
Answer:
3,400 grams
Step-by-step explanation:
The total amount of flour needed to make two batches of each recipe is 3400 grams.
How much gram is equal to 1 kilogram?1000 grams is equal to 1 kilogram.
Amount of flour used in one batch of the first recipe= 1 kilogram
So, the amount of flour used in two batches of the first recipe=2 kilogram =2000 grams.
Amount of flour used in one batch of the second recipe= 700 grams
So, the amount of flour used in two batches of the second recipe= 2*700=1400 grams.
Total amount of flour needed = 2000+1400 =3400 grams.
Hence, The total amount of flour needed to make two batches of each recipe is 3400 grams.
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There are 5 red marbles, 15 blue marbles,
reach in and randomly draw two marbles without replacing the first, what is the
probability that both will be blue?
Answer:
Probability is 0.552, or about 55%
Step-by-step explanation:
first there are 20 marbles in total: odds are 15/20 = 3/4
Then, there are 19 marbles in total : odds are 14/19
So the odds of both of them being blue are: 3/4 * 14/19 = 0.552 (rounded to the thousandths place)
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A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7.5 ft by 7.5 ft by 6 ft. If the container is entirely full and, on average, its contents weigh 0.05 pounds per cubic foot, find the total weight of the contents. Round your answer to the nearest pound if necessary.
Answer:
Step-by-step explanation:
V = w h l
V = 7.5 * 7.5 * 6
V = 337.5cubic feet * 0.05
V = 16.875Lbs
V = 17Lbs (Rounded to nearest pound)
I NEED HELP ON THIS
(see photo below for questions)
v
Answer:
∠4 = ∠5 = ∠8 = ∠1 = 140°∠2 = ∠3 = ∠6 = ∠8 = 40°Step-by-step explanation:
Given angle 1 = 140°, you want the measures of the other numbered angles where a transversal crosses parallel lines.
ReasonsWhere a transversal crosses parallel lines, corresponding angles are congruent.
Wherever lines cross. vertical angles are congruent, and linear pairs are supplementary.
These reasons together tell you all the obtuse angles are congruent, and all the acute angles are congruent. The obtuse and acute angles are supplementary.
Application∠1 = ∠4 = ∠5 = ∠8 = 140° . . . . . . given
∠2 = ∠3 = ∠6 = ∠7 = 40° . . . . . . done for you
__
Additional comment
The angles are also named according to where pairs of angles are found.
alternate — on opposite sides of the transversalconsecutive, or same side — on the same side of the transversalinterior — between the parallel linesexterior — outside the parallel linescorresponding — in the same direction from the point of intersection (for example, angles 1 and 5 are both northwest of their vertices, hence corresponding)Various theorems describe the congruent/supplementary status of pairs of angles using these names:
if the lines are parallel, then corresponding angles are congruent; if the lines are parallel, then consecutive exterior angles are supplementary; ....In general, the converses of these theorems are also true. If corresponding angles are congruent, then the lines are parallel.
En la función de la imagen la ecuación de la asíntota vertical es___
The equation for the asymptote of the graphed function is x = 7
How to identify the asymptote?The asymptote is a endlessly tendency to a given value. A vertical one is a tendency to infinity.
Here we can see that there is a vertical asymoptote, notice that in one end the function tends to positive infinity and in the other it tends to negative infinity.
The equation of the line where the asymptote is, is:
x = 7
So that is the answer.
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Kayla rolls a die 84 times. How many times can she expect to roll a 3?
A. 14
B. 21
C. 12
D. 18
Answer:
\(\huge\boxed{\sf 14\ times}\)
Step-by-step explanation:
Formula:\(\displaystyle Probability = \frac{Possible \ no. \ of\ events}{Total \ number\ of \ events}\)
Solution:If we roll a die 1 time, the probability of obtaining a 3 is:
= 1 / 6
Because a die has total 6 faces, out of which 3 is only 1.
But, if we roll it 84 times, it becomes:
= \(\displaystyle \frac{1}{6} \times 84\)
= 84/6
= 14 times\(\rule[225]{225}{2}\)
the degrees of freedom for an unequal variance test of means is calculated as 16.67. what should you do with the calculated number to get the degrees of freedom for the t-distribution?
We shall round it down to 16 in the circumstance when we need to determine the degrees of freedom for the t-distribution.
What is t-distribution?Any member of the family of continuous probability distributions known as the Student's t-distribution (or simply the t-distribution) in probability and statistics is used to estimate the mean of a normally distributed population when the sample size is small and the population's standard deviation is unknown.
Under the alias "Student," English statistician William Sealy Gosset created it.
The Student's t-test for determining the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and linear regression analysis are just a few commonly used statistical analyses that make use of the t-distribution.
So, in the given situation where we need to get the degrees of freedom for the t-distribution, we will round it down to 16.
Therefore, we shall round it down to 16 in the circumstance when we need to determine the degrees of freedom for the t-distribution.
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I need the answer and maybe someone can tell me how to do it? Please and Thanks!! :))
Answer:
83
Step-by-step explanation:
The 126 angle is an exterior angle of the triangle.
The 43 and x angles are the two remote interior angles of the 126 angle.
Theorem:
The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.
x + 43 = 126
x = 83
Answer:
x = 83
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
126 = x+43
Subtract 43 from each side
126-43 = x+43-43
83 = x
If m = 3 and b = 6, what is the correct slope intercept equation?
a. y = 3 - 6.
b. y = 3x - 6.
c. y = 3x + 6.
d. y = 6x + 3.
i really need help ! it would mean alot if you did help ❤️ !
Answer:
B
Step-by-step explanation:
Hope this helps!!!
Answer:
B. Math , Social Studies , Reading is the answer.
I think this helps you ☺️☺️.
Thank you ☺️☺️☺️
a poll is given, showing 61% are in favor of a new building project. let x be the number of people who favor the new building project when 25 people are chosen at random. what is the distribution of x? x ~ ? (,) please show the following answers to 4 decimal places. what is the probability that exactly 16 people out of 25 favor the new building project? what is the probability that at least 16 people out of 25 favor the new building project? what is the probability that at most 16 people out of 25 favor the new building project? what is the probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project?
The probability that exactly 16 people out of 25 favor the new building project is 0.1285.
The probability that at most 16 people out of 25 favor the new building project is 0.3528.
The probability that between 12 and 19 (including 12 and 19) people out of 25 favor the new building project is 0.9088.
A binomial distribution is a probability distribution that describes the number of successes in a fixed number of trials, where each trial has two possible outcomes (success or failure) and the trials are independent.
The distribution of x, the number of people who favor the new building project when 25 people are chosen at random, can be modeled using a binomial distribution.
In this case, the probability of success (favoring the new building project) is 0.61, and the probability of failure (not favoring the project) is 0.39. The number of trials is 25, since we are choosing 25 people at random.
Thus, we can write x ~ Bin(25, 0.61), which means that x follows a binomial distribution with 25 trials and a probability of success of 0.61.
To find the probability that exactly 16 people out of 25 favor the new building project, we can use the binomial probability formula:
\(P(X = k) = (^n_k) * p^k * (1 - p)^{n - k}\)
where X is the random variable (in this case, the number of people who favor the project), k is the number of successes we are interested in (in this case, 16), n is the number of trials (25), p is the probability of success (0.61), and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.
Plugging in the values, we get:
P(X = 16) = (25 choose 16) * 0.61¹⁶ * 0.39⁹ = 0.1285
Therefore, the probability that exactly 16 people out of 25 favor the new building project is 0.1285.
To find the probability that at least 16 people out of 25 favor the new building project, we need to add up the probabilities of all the events where the number of successes is 16 or greater. We can do this using the cumulative distribution function (CDF) of the binomial distribution, which gives us the probability of X being less than or equal to a certain value.
Using a calculator or a table, we can find that P(X ≥ 16) = 0.3528.
Therefore, the probability that at least 16 people out of 25 favor the new building project is 0.3528.
To find the probability that at most 16 people out of 25 favor the new building project, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring). In this case, the complement event is the number of people who favor the project being greater than 16.
Using the same CDF, we can find that P(X > 16) = 0.6472. Therefore,
P(X ≤ 16) = 1 - P(X > 16) = 1 - 0.6472 = 0.3528
We can do this using the binomial probability formula for each possible value of k, and then summing the results.
P(12 ≤ X ≤ 19) = P(X = 12) + P(X = 13) + ... + P(X = 19)
Using a calculator or a table, we can find the probabilities for each value of k, and then add them up:
P(12 ≤ X ≤ 19) = 0.0309 + 0.0746 + 0.1322 + 0.1821 + 0.2001 + 0.1821 + 0.1322 + 0.0746 = 0.9088
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Select the best method of finding an accurate solution to a system of linear equations.
A:use algebraic methods
B:graph the lines
C:guess and check
The solve by substitution calculator allows to find the solution to a system of two or three equations in both a point form and an equation form .of the answer.true or false
Given statement is True.
A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.
The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.
In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.
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use the simple interest formula I=Prt and elementary algebra to find the missing quantities in the table below.
Given
P= $100
R=13% or 0.13
T= 2years
The simple interest formula I=Prt
\(\begin{gathered} I\text{ =}100\times0.13\times2 \\ I=26 \end{gathered}\)The Interest is $26
Complete the pattern below in the list of numbers 5,15,9,19,13,.
Answer:3
5,15,9,19,13,3
Step-by-step explanation:
Diego is 8 years older than 3 times Sofia’s age. If Sofia is y years old, which expression represents Diego’s age?
A) (8 × 3) + y
B) 8 + 3 + y
C) 3(8 + y)
D) 3y + 8
Answer:
D
Step-by-step explanation:
We know that Y represents Sofia's age
Diego is 8 years older than 3 times Sofia's age
means to get Diego's age we have to multiply Sofia's age by 3 and add 8
which is 3Y+8need help can someone explain this problem
please.
The perimeter = the sum of the length of each side.
The shape with missing sides is a rectangle, and we know that rectangles have equal opposite sides.
The top of the rectangle = 3.5 and now we know all the values of each side.
3.5 + 3.5 + 2.4 + 2 + 2 = 13.4 cm.
The perimeter = 13.4cm
Consider ∑
h=0
k
2h where k is an odd number. How many numbers are in this sequence? Use / to represent division and to separate a numerator from denominator. How many pairs of real numbers are in this sequence? What is the sum of the first and last value? Use / to represent division and to separate a numerator from denominator What is the summation equal to
The number of numbers in the sequence is k/2.
The sequence starts with k/2, then k/4, then k/6, and so on. Since k is an odd number, the sequence will stop when we reach 0. Therefore, the number of numbers in the sequence is k/2.
The number of pairs of real numbers in the sequence is k/4.
This is because for every number in the sequence, there is a corresponding number that is its negative. For example, if k = 1, then the sequence is 1/2, -1/2, 1/4, -1/4, and so on. There are k/4 numbers in the sequence, and half of them are positive and half of them are negative.
The sum of the first and last value in the sequence is k/2.
This is because the first value in the sequence is k/2, and the last value in the sequence is -k/2. Since k is an odd number, k/2 is not equal to -k/2. Therefore, the sum of the first and last value in the sequence is k/2.
The summation is equal to 0.
This is because the terms of the summation cancel each other out. For example, if k = 1, then the summation is 1/2 - 1/2 + 1/4 - 1/4 + ... = 0.
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What is the sign of the third term of the expansion of (x - y)n for n = 3, 4, and 5?
Cⁿ₁ is always positive, then the second term has negative sign.
What does binomial expansion mean?
Theorem that states that any power of a binomial (a + b) can be expanded as a specific sum of products (aibj), such as (a + b)2 = a2 + 2ab + b2.
The i-th term of the binomial expansion \((x- y)^{n}\)
Ti = nCi - 1 . (x)ⁿ+¹⁺i . (-y)i - 1
For any n, when i=2,
T₂ = nC₂₋₁ . xⁿ⁺¹⁻² . (-y)²⁻¹ = -Cⁿ₁ xⁿ⁻¹ . y
Given that is consistently positive, the second term has a negative sign.
Cn1 is consistently positive, and the second term is always negative.
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This is luck panda he gives you luck of your test copy and paste him onto your next brainly answer to wish that person luck!
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Answer:
Thanks! Hi luck panda! I guess I'll do that?
Step-by-step explanation:
Answer:
This is luck panda he gives you luck of your test copy and paste him onto your next brainly answer to wish that person luck!
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Step-by-step explanation:
it doesn't look like a panda :(