The boxplot without the outliers is (c)
What are outliersOutliers are data points that are significantly different from the other data points in a dataset.
An outlier is an observation that lies an abnormal distance from other values in a random sample from a population.
How to determine the boxplotUsing the definition in (a) as a guide, we have the boxplot to be (c)
This is so because it has a minimum of 15 and a maximum of 95 (just as the original boxplot)
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25 PTS Please help :)
Answer:
9.968
Step-by-step explanation:
Law of Cosines:[tex]c^2=a^2+b^2 -2ab*cos(C)[/tex]
and more generally, a side squared of a triangle is equal to the other two sides squared then added, minus double the product of the other two sides and the cosine of the opposite angle, generally denoted as the capital letter of the side. (c is the side, C is the opposite angle)
in this case the other two sides are 7 and 10, so we can say that a=7, b=10 if it helps understand this a bit more, but "a" and "b" really just represent the other two sides.
the opposite angle is: [tex]\frac{5\pi}{13}[/tex] and the unknown is "a", but we can just express it as "c" for the sake of simplicity. Now plugging in all the known values we get the following equation:
[tex]c^2=7^2+10^2-2(7)(10)cos(\frac{5\pi}{13})\\\\c^2=49+100-140cos(\frac{5\pi}{13})\\\\c^2=149-140cos(\frac{5\pi}{13})[/tex]
Now from here we can just use a calculator to approximate the cosine, but make sure it's in radian mode! otherwise your answer may be incorrect as degrees are different than radians.
[tex]c^2=149-140(0.3546)\\\\c^2=149-49.64468\\\\c^2=99.355315814\\\\c=\sqrt{99.355315814}\\\\c=9.96771367035\\\\c\approx 9.968[/tex]
So the side is approximately 9.968 units in length.
solve for x
....................
The solution of x in the rhombus is 3
How to determine the solution of x in the shapeFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
LN = 14
AN = x + 4
Using the above as a guide, we have the following equation:
LN = 2 * AN
substitute the known values in the above equation, so, we have the following representation
2 * (x + 4) = 14
Evaluate the expression
x + 4 = 7
Subtract 4 from both sides
so, we have the following representation
x = 3
Hence, the solution is 3
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Help me with this question…….
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Lets solve ~
[tex]\qquad \sf \dashrightarrow \: {x}^{2} = 10[/tex]
[ taking square root on both sides ]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {x}^{2} } = \sqrt{10} [/tex]
[tex]\qquad \sf \dashrightarrow \: x = \pm \sqrt{10} [/tex]
Both the values are appropriate here, as the square of both negative or positive value is same [positive value]
[tex] \huge\bold \large \bf{Solution }[/tex]
[tex] \rightarrow \large \displaystyle \sf \: {x}^{2} = 10 \: [/tex]
Transposing square on RHS , We get
[tex]\rightarrow \large \displaystyle \sf \: x \: = \sqrt{10} [/tex]
We know that,
10 does not even have a square root , so,
[tex]\rightarrow \large \displaystyle{\bf{ \pink{x \: = \pm \: \sqrt{10} }}}[/tex]
We know that the value of root is both negative and positive.
Option b is correct answer[tex] \purple {\rule{190pt}{4pt}}[/tex]
9.5 less than a number n equals 27
Answer:
N-27 = 9n + 5
Step-by-step explanation:
write equation to the word sentence 9.5 less than a number n equals 27 the answer n-27 = 9n + 5 that is posted to this question on your website is wrong according to my homework check.
For example:The value of n for the given condition "9.5 less than a number n equals 27" is, 36.5
Given that,
A statement,
"9.5 less than a number n equals 27"
To solve for the value of "n",
we can start by subtracting 9.5 from both sides of the equation,
9.5 less than a number n = 27
So, it can be written as,
n - 9.5 = 27
n = 36.5
Therefore, 9.5 less than a number n equals 27 the answer n-27 = 9n + 5
What is the probability of obtaining twelve heads in a row when flipping a coin? Interpret this probability The probability of obtaining twelve heads in a row when flipping a coin is________
In this question you're given that a coin is flipped 12 times. Now I'll make some assumption here. The first assumption is that the coin is fair. That means the probability of getting ahead in a trial in the toss is the same as probability of getting a deal in the toss and that would be half And second. The all the 12 flips or tosses are independent of each other. And thirdly that the probability of getting ahead, it's the same in each toss and you can see that in each talks there's only two outcomes ahead or not ahead which is a so this is considered a success and this is a failure. It just happened to be the probability of the success and the probability of failure is the same at heart. So this actually follows a binomial distribution model. But in the event that you have not learned by normal distribution we can just go by simple probability multiplication rule. So in probability and it's times or is plus. But the assumption of independent trials and the coin is fair is still the same whether you're using binomial distribution or just simple probability multiplication rule, no Probability of obtaining 12 heads in a row when flipping a coin would be the first pulse, you get a hit. And the second course you also get ahead. And the third toss you get ahead. So on so forth. Up to the last toss, which is the 12th toss, you also get a hit. So it's hit for every toss. So what this means is that probability of first courses ahead is half so that's half now. N and in probability means multiple execution. So just times and second hand is second thoughts is also ahead. So there's a half and so N. S. A. Terms enter is ahead, so that's another half, so so on, so forth. All the way to the last end here. Mr toms And the 12 is also a hit. So this times, how so what we have here is half to the power of 12 since half is multiplying itself 12 times. And so the answer is 1/4 oh 96 Or 0.0002, 44 six, decimal places. Now, if you are using binomial distribution to solve this problem, you will be after this part here. You will be letting X be the number of heads. Oh 12 courses. Right, So X follows the binomial distribution Number of trials is 12, 12 horses. And probability of success in this case is probability of getting ahead in a in a toss is half, so probability of X equals two. R. Where r is the number of heads in 12 courses will be 12, choose our half to the power of our and one minus half is also half To the power of 12 minus are so probability of obtaining 12 heads in a role. So we will be looking at probability of X equals 2, 12. So just suck 12 into the arm. So is this and you will get the same answer of 0.000244
A set contains the numbers 0,6,12 and 15. 2 different numbers are selected randomly from this set. What is the probability that the sum is greater than 12
Answer:
Step-by-step explanation:
To find the probability of the sum of two randomly selected numbers from a set being greater than 12, we need to first find the total number of possible combinations of two numbers and then count the number of combinations that result in a sum greater than 12.
The set contains four numbers, so there are 4 choose 2 possible combinations of two numbers, which is equal to (4! / (2! * (4 - 2)!)), or 6 combinations. These combinations are:
(0,6), (0,12), (0,15), (6,12), (6,15), (12,15)
Next, we'll count the number of combinations that result in a sum greater than 12. These combinations are:
(6,15), (12,15)
There are 2 combinations that result in a sum greater than 12.
Finally, to find the probability, we'll divide the number of favorable outcomes (combinations with a sum greater than 12) by the total number of outcomes (all possible combinations of two numbers), and express the result as a fraction:
probability = 2 / 6
Reducing the fraction, we get:
probability = 1 / 3
So, the probability that the sum of two randomly selected numbers from the set is greater than 12 is 1/3.
That's how you find the probability of the sum of two randomly selected numbers from a set being greater than a certain value. By counting the number of favorable outcomes and dividing by the total number of possible outcomes, you can find the probability of a certain event.
The figure below shows a rope that circles the Earth. The radius of the Earth is
6371
63716371 kilometers.
Assuming the rope makes a perfect circle, what is the length of this rope?
Give your answer in terms of pi.
Answer:
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Where r is the radius of the circle.
Plugging in the value for the radius of the Earth, we have:
Circumference = 2π(6371 km) = 12,742 km
So the length of the rope, assuming it makes a perfect circle around the Earth, would be 12,742 km = 2π(6371) kilometers.
Step-by-step explanation:
When you use the distance formula you are building a right triangle whose ___ connects two given points
Answer:
Step-by-step explanation:
When we use the distance formula for two points ( x, y ) and ( x', y¹ ) Then formula is (distance)² = (x - x¹)² + (y - y¹)² This is quite similar to the formula used in a right angle triangle
Given the following square, solve for x.
(7x+13) °
Answer:
x = 11
Step-by-step explanation:
square = a plane figure with four equal straight sides and four right angles.
so
7x + 13 = 90
7x = 90 - 13
7x = 77
x = 77 : 7
x = 11
------------------------
check
7 x 11 + 13 = 90
90 = 90
the answer is good
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Solve the proportion.
16
50
=
x
156
.
25
The value of x in the proportion 1650 = x(156.25) is 10.56
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
Given the proportion:
1650 = x(156.25)
We are required to solve for x. To find x, divide both sides of the equation by 156.25:
1650 / 156.25 = x(156.25) / 156.25
x = 1650 / 156.25
x = 10.56
The value of x is 10.56
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A group of friends wants to go to the amusement park.
The inequality that determines the maximum number of people that can go to the park is given as follows:
5.75 + 29.75x ≤ 210.
How to obtain the inequality?The costs associated with going to the park are given as follows:
$5.75 parking fee.$29.75, which is the price of a ticket per person.Hence the total cost for x people going to the park is given by the following equation:
C(x) = 5.75 + 29.75x.
They can spend at most $210, hence the inequality that determines the maximum number of people that can go to the park is given as follows:
C(x) ≤ 210
5.75 + 29.75x ≤ 210.
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Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d. Justify your answer.2x + 4y = f
cx + dy = g."
Not quite sure what is meant by the question "what can you say." My only thought so far is that If the system is consistent, that means x and y have the same value for both equations:
x(2 + c) + y(4 + d) = f + g, which, if c = f+g, fits into the form ax + by = c. But that's about it.
We can know that she can be any value but these 15 times the value of C. The given system is consistent to all the possible values of f and g, the reduction of the row of the augmented matrix must not result in the row of form [0 0 ... 0 | b]where B is nonzero.
By looking the row reduction in the system we can see the 2nd row reduces to [0 0 ...0 | d-15c-g+f]. Since f and g can be any values we can make them both 20 which denotes d - 15 C is equals to zero, or d equals to 15C.
d-15c = 0, or d = 15c.
Therefore we can know that she can be any value but these 15 times the value of C.
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In a regression equation (linear prediction rule), the "predicted score" for a person with a "predictor variable" score of 0 is 7. In this scenario, what is the "regression constant"?
The required value of "regression constant" is 7.
What is regression equation?Y = a + b X + e is the formula for the regression equation. The dependent variable (Y), which is being predicted or explained, has a value of Y. a, or Alpha, is a constant; it equals the value of Y when the value of X is 0, and b, or Beta, is a coefficient of X; it determines how much Y varies for each unit change in X and determines the slope of the regression line.
According o question:In a linear regression equation, the regression constant (also called the intercept) represents the predicted score when the predictor variable has a value of 0. In this scenario, the predicted score for a person with a predictor variable score of 0 is 7.
Therefore, the regression constant is 7.
The regression constant is usually combined with the regression coefficient of the predictor variable to form the complete regression equation, which is used to predict scores for individuals with different values of the predictor variable.
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Word Problems
1. The sum of 21 and three times a number is 60. What is that number?
2. Three times the difference between a number and three is equal to four times the number.
That is that number?
3. The sum of three consecutive integers is 48. Once you find them, answer this question: What
is > times the 3m as minus z times the 1St ?
4. Twice the smallest of three consecutive odd integers is seven more than the largest. What is the middle number?
5. The length of a rectangle is 3 cm more than the width. The perimeter is 22 cm. What is the
AREA of this rectangle? Note: A = (L)(W)
6. The perimeter of a triangle is 43 in. Side b is 3 times the length of side a. Side c is 1 more than twice the length of side a. What is the SUM of sides a and b?
In the word problems given above, the results are:
The number is 13.The number is 12.The consecutive integers are 15, 16, 17. The answer to the question is 19.The middle number is 9.The width is 4 cm and the length is 7 cm. The area of the rectangle is 28 sq cm.The sum of sides a and b is 28 in. (a=7 in, b= 21 in, c= 15 in)What is the rationale for the above response?1) Let's call the number we're looking for "x". According to the problem, "three times a number" is the same as 60 minus 21, which is 39. So we can write the equation:
3x + 21 = 60
Subtract 21 from both sides:
3x = 39
Divide by 3:
x = 13
Therefore, the number we're looking for is 13.
2)
Let's call the number we're looking for "x" again. According to the problem, "three times the difference between a number and three" is the same as "four times the number". So we can write the equation:
3(x - 3) = 4x
Simplify:
3x - 9 = 4x
Subtract 3x from both sides:
-9 = x
Therefore, the number we're looking for is -9.
3)
Let's call the first of the three consecutive integers "x". The next two would be x+1 and x+2. According to the problem, their sum is 48, so we can write the equation: x + (x+1) + (x+2) = 48
Simplify:
3x + 3 = 48
Subtract 3 from both sides:
3x = 45
Divide by 3:
x = 15
So the three consecutive integers are 15, 16, and 17. To answer the second part of the question, we can substitute these values into the given expression:
3m - z(1st) = 3(16) - 15(15) = 48 - 225 = -177
4)
Let's call the smallest of the three consecutive odd integers "x". The next two would be x+2 and x+4. According to the problem, twice the smallest is seven more than the largest, so we can write the equation:
2x = (x+4) + 7
Simplify:
2x = x + 11
Subtract x from both sides:
x = 11
So the three consecutive odd integers are 11, 13, and 15. The middle number is 13.
5)
Let's call the width of the rectangle "w". According to the problem, the length is 3 cm more than the width, so the length is w + 3. The perimeter is the sum of all four sides, which is:
P = 2w + 2(w + 3) = 4w + 6
We know that the perimeter is 22 cm, so we can write the equation:
4w + 6 = 22
Subtract 6 from both sides:
4w = 16
Divide by 4:
w = 4
So the width is 4 cm, and the length is 7 cm (since it's 3 cm more than the width). To find the area, we use the formula:
A = (L)(W) = (7)(4) = 28 square cm
6)
Let's denote the length of side a as x. Then we know that side b is 3 times the length of side a, or 3x, and side c is 1 more than twice the length of side a, or 2x+1.
Since the perimeter of the triangle is 43 inches, we can write the equation:
a + b + c = 43
Substituting in our expressions for b and c, we get:
x + 3x + 2x + 1 = 43
Simplifying the left-hand side, we get:
6x + 1 = 43
Subtracting 1 from both sides, we get:
6x = 42
Dividing both sides by 6, we get:
x = 7
thus:
a = 7
b= 3x = 21; na d
c = 2x + 1 = 14+1
c = 15
Thus the sum of sides a and b =
21 + 7
= 28
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darius spend 35% of his time doing math homework. Alex spends 2/5 of his time doing math homework. Who spend more home work time on math. explain
Answer:
Alex spends more time 2/5 of 100 is 40%
If one factor of 2 numbers is 2860 is 13,what is the other factor
The factors of numbers let us know that the other factor of 2860 is 220.
Factors of a number.Multiples and factors are connected to one another. The number that divides a given quantity exactly, leaving no residue, is said to be a factor of the quantity.
We may write a × b = c to represent any given integer. c is a multiple of "a" and "b". "a" and "b" are factors of c according to the concept of factors and multiples since c may be divided by both a and b.
Given there are two numbers in which one factor is 13 and the multiple is 2860, then we can write it as:
13 × b = 2860
where;
b = the other factor
b = 2860/13
b = 220
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Find the value of y to the nearest tenth.
6.4
6.0
7.5
8.0
Let's consider what the question asks for:
--> the length of 'y'
To solve:
--> we need to use trigonometry
--> let's determine which function to use based on the image given
below
--> (look at image attached)
Let's use angle with measure of 53:
--> the side with length of 'y' is adjacent to it
[tex]cos(53)=\dfrac{y}{10} \\\\y=10*cos(53)=6.02[/tex]
Thus the length of that particular side is about:
--> 6.0
Answer: 6.0
What is the average speed of a car that traveled 300 miles in 5.5 hours? Round answer to the nearest hundredths
place.
O 150 mph
O 54.54 mph
Answer: 54.54 mph
Step-by-step explanation: To calculate the average speed of a car that traveled 300 miles in 5.5 hours, you can divide the total distance traveled by the total time taken: Average speed = Total distance / Total time-average speed = 300 miles / 5.5 hours = 54.55 miles per hour (mph)So, the average speed of the car is 54.55 mph.
Rosetta averages 148 points per bowling game with a standard deviation of 14 points. Suppose Rosetta's points per bowling game are normally distributed. Let X= the number of points per bowling game. Then X∼N(148,14). If necessary, round to three decimal places
The statistical measurement known as the Z-score describes the connection between a value and the mean of a set of values and the required z-score to the three decimal places is −2.714.
What is the z-score?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score.
Standard deviations from the mean are used to measure Z-score.
A Z-score of zero means the data point's score is the same as the mean score.
Your observed value is 2.5 standard deviations from the mean if your Z-score is 2.5, and so on.
Your value is more closely aligned with the mean the closer your Z-score is to zero.
Your value is further from the mean the farther your Z-score is from zero.
So, let's say Rosetta wins the game on Thursday with 110 points.
When x=110, the z-score is -2.714.
The average is 148.
You can see from this z-score that x=110 is 2.714 standard deviations away from the mean.
This formula can be used to determine the z-score:
z = x−μ/σ
=110−148/14
=−38/14
≈−2.714
Therefore, the required z-score to the three decimal places is −2.714.
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Show the expression ^2−−6 in factored form and explain what the solution would mean for the equation.
The expression x²−−6 can be factored as:
[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]
What is Factoring an expression?
A numerical or algebraic expression is factored when it is written as a product of factors. The distributive property can be used to factor expressions.
The expression x²−−6 can be factored as:
[tex]x^{2} - 6 = (x + \sqrt{6} )(x - \sqrt{6})[/tex]
The solutions for this equation would be x = √6 or x = -√6. These are the values of x that make the expression equal to zero.
Factoring the expression in this way can be useful in solving related equations or in finding the roots of a quadratic function. It also helps in visualizing the graph of the function, as the factored form shows the x-intercepts, which are the points where the graph crosses the x-axis.
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Represent the following sentence as an algebraic expression, where "a number" is the
letter x. You do not need to simplify.
4 is subtracted from the product of 5 and a number.
I need answer
The mathematical Expression is 5x- 4.
What is Expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
Given:
We have the unknown variable x.
4 is subtracted from the product of 5 and a number.
Now, Translating the word problem (sentence) into an algebraic expression, we get
= 5x - 4
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the table below shows the number of hours students spend playing video games at home.which is a valid inference about the data
A valid inference about the data of Video Games Play Time among students is A). 50% of students spend 2- or 3 hours playing video games.
What is an inference?An inference is an evidence-based conclusion.
Inferences are reached when the necessary facts are available, and the researcher has done some calculations and reasoning using the facts.
Video Games Play Time
Hours Played Number of Students
0 2
1 4
2 6
3 8
4 5
5 or more hours 3
Total number of students 28
2 or 3 hours:Number of students = 14 (6 + 8)
14/28 - 50%
50% = 50%
4 or more hours:Number of students = 8 (5 + 3)
8/28 = 28.6%
28.6% > 10%
1 or 2 hours:Number of students = 10 (4 + 6)
10/28 = 35.7%
35.7% > 10%
3 or 4 hours:Number of students = 13 (8 + 5)
13/28 = 46.3%
46.3% ≠ 50%
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Question Completion with Answer Options:Video Games Play Time
Hours Played Number of Students
0 2
1 4
2 6
3 8
4 5
5 or more hours 3
Total number of students 28
A). 50% of students spend 2- or 3 hours playing video games.
B). Less than 10% of the students spend 4 or more hours playing video games.
C). Less than 10% of the students spend 1- or 2 hours playing video games.
D). More than 50% of the students spend 3- or 4 hours playing video games.
Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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Julia bought a total of 52 cans of Dr. Pepper and Sprite. There were three times as many cans of Dr. Pepper as Sprite. How many cans of Dr. Pepper did he buy?
Answer:
Step-by-step explanation:
The number of Dr. Pepper cans are 39.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Julia bought a total of 52 cans of Dr. Pepper and Sprite.
There were three times as many cans of Dr. Pepper as Sprite.
Let number of sprite cans be x.
Then, the number of Dr. Pepper cans will be 3x.
Now, x+3x=52
4x=52
x=13
So, 3x=39
Therefore, the number of Dr. Pepper cans are 39.
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Their is a pair of parralle sides in the following shape 5 , 7, 6
what is the area of the shape
Answer: A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A = h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A = × 3 × (3 + 7) = 1.5 × 10 = 15 units²
Which of the following is equivalent to the expression below?
√-98
A. -2i√7
B. 2i√7
c. 7i√2
D. -7i√2
Answer: Choice C) [tex]7i\sqrt{2}[/tex]
Work Shown:
[tex]\sqrt{-98} = \sqrt{-1*49*2}\\\\\sqrt{-98} = \sqrt{-1}*\sqrt{49}*\sqrt{2}\\\\\sqrt{-98} = i*7*\sqrt{2}\\\\\sqrt{-98} = 7i\sqrt{2}\\\\[/tex]
15. "Twice a number, increased by 13, is -21.“
Answer:
Step-by-step explanation:
(X=the number)
2x+13=-21
(-21)-13=34
34x2=68
Equation: -140
Answer: x =
= -10x
=
Please help me !!! With this
Help with question 12 (a & b):
A beginning employee will produce 3 items per day
An experienced employee will produce 17 items per day
The number of items per dayBeginning employee
From the question, we have the following parameters that can be used in our computation:
[tex]P\left(d\right)=3\ +\ 15\left(1-e^{-0.2d}\right)[/tex]
Next, we plot the graph (see attachment)
A beginner employee is represented as d = 0
From the graph, we have
P(0) = 3
An experienced employee
Using the graph as a guide, we have
The maximum number of production approximates to 17
This represents the number of items per day for an experienced employee
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