Answer:
See below, please
Step-by-step explanation:
Volume
\( = (x + 12) \times (x + 3) \times 2x\)
\( = ( {x}^{2} + 15x + 36) \times 2x\)
\( = 2 {x}^{3} + 30 {x}^{2} + 72x\)
plzzzz due in a few mins help
Answer:
equation: 4x+6=9
x=0.75
Step-by-step explanation:
4x+6=9
subtract 6 from both sides
4x+6-6=9-6
4x=3
divide by 4 on both sides
4x÷4=3÷4
x=0.75
I hope this is good enough:
Simplify and write your answer in the form a+bi.
10/1+2i (this is a fraction)
Answers:
A. 10-20i/5
B. 2-4i
C. 1-2i
D. 10+5i
\(\dfrac{10}{1+2i}\\\\\\=\dfrac{10(1-2i)}{(1+2i)(1-2i)}\\\\\\=\dfrac{10-20i}{1 - (2i)^2}\\\\\\=\dfrac{10-20i}{1+4}~~~~~;[i^2 =-1]\\\\\\=\dfrac{10-20i}5\\\\=\dfrac{10}5 - \dfrac{20i}5\\\\=2-4i\)
Mortimer has 3/4 of his birthday cake left on his party how many 3/16 size portions can you share with his family
Given:
Fraction of cake left = ¾
Let's find the number of 3/16 size portions of the remaining cake he can share with his family.
To find the amount of 3/16 size portions he can share, divide the remainder by 3/16.
Thus, we have;
\(\frac{3}{4}\div\frac{3}{16}\)To divide the fractions, change the division symbol to multiplication and flip the fraction on the right.
We have:
\(\begin{gathered} \frac{3}{4}\ast\frac{16}{3} \\ \\ =\frac{3\ast16}{4\ast3} \\ \\ =\frac{48}{12} \\ \\ =4 \end{gathered}\)Therefore, he can share 4 portions of 3/16
ANSWER:
4
franklin mountains bike weighs 17,000 grams. how many kilograms does his bike weigh
Answer:
7 kilograms
Step-by-step explanation:
Let f'(x) be a continuous function on the closed interval [a, b], then the length of the curve y = f(x) from a = a to x = b is L = f√√1 + [ƒ' (x)]² dx. O True False The graph of the parametric equation a = t²+1, y = 2t - 1 is a parabola. O True O False
The statement presented is false.
Is the given statement about curve length true?The statement presented is false. The formula provided for the length of the curve, L, is incorrect. The correct formula for the length of a curve y = f(x) from a = a to x = b is L = \(\int[a, b] \sqqrt(1 + [f'(x)]^2)\)dx, not the expression given in the question.
This formula is known as the arc length formula. The graph of the parametric equation a = t² + 1, y = 2t - 1 represents a parabolic curve, not a parabola.
Parabolas are defined by equations of the form y = ax² + bx + c, whereas the given equation is a parametric representation of a parabolic curve in terms of the variable t.
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Assuming that the x-axis tick marks will be separated by 5 (5, 10, 15, and so on), what is the largest value that should appear on the x-axis
The largest value that should appear on the x-axis assuming that the tick marks will be separated by 5 is 95.
Since the tick marks are separated by 5, we can start with the smallest tick mark at 0 and add 5 for each subsequent tick mark.
To determine the largest value that should appear on the x-axis, we need to find the largest multiple of 5 that is less than or equal to the largest value in the data set. In this case, we don't have any information about the data set, so we can't determine the largest value.
However, we can assume that the x-axis should be long enough to accommodate the largest value that we expect to see. If we assume that the largest value is 100, then the largest multiple of 5 that is less than or equal to 100 is 95.
Therefore, the largest value is 95.
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Which of these R-values represents the weakest correlation?
Answer:There is a similar question like this one and it is -0.05. But for this, it is -0.15
Step-by-step explanation:
From the above R-values, -0.15 represents the weakest correlation because it is nearest to 0. Therefore, the correct option is B.
What is R-values?R-values represent the correlation between two variables. The r-value lies from -1 to 1.
The given r values are -0.75, -0.55, -0.15 and -0.35.
If r=-1 or close to -1, then it represents a strong negative correlation.
If -1 < r < 0 or close to -0.5, then it represents weak negative correlation.
If r=0 or near to 0, then it represents no correlation.
If 0 < r < 1 or close to 0.5, then it represents weak positive correlation.
If r=1 or close to 1, then it represents a strong positive correlation.
From the above R-values, -0.15 represents the weakest correlation because it is nearest to 0.
Therefore, the correct option is B.
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Find the shortest distance from the point (1, 0, −2) to the
plane 2x+4y+2z = 8
alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. how many calories are in one cookie?
Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.
A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.
Let x = calories in cookies.
y = calories in carrots.
Now, according to the question:
5x + 2y = 590 --------------------------------------- (1)
3x + 4y = 410 -------------------------------------- (2)
Multiplying equation(1) by 3 and equation(2) by 5:
15x + 6y = 1770 ---------------------------(3)
15x + 20y = 2050 ---------------------------(4)
Solving we get:
y = 280/14
or, y = 20 units.
Putting the value of y = 20 in equation (2)
3x + 4y = 410
⇒ 3x + 4 × 20 = 410
⇒ 3x = 410 - 80
⇒ x = 330/3
⇒ x = 110 Units
Therefore, the calories of cookies is 110 units .
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(a) Attendance at the Accra Sports Stadium was alysed by the General Secretary, Prosper Harrison Addo. The analysis demonstrated that spectators consisted of 70% males. If seven people are randomly selected from the spectators during a football match, What is the probability that 4 of them are males? (3 marks) i 11. Find the probability that at most 5 of them are females (4 marks)
a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.
b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.
a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
- n is the total number of trials (number of people selected)
- k is the number of successful trials (number of males selected)
- p is the probability of success in a single trial (probability of selecting a male)
- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:
P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)
b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.
P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).
Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.
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Find two numbers with a sum of 5 and a difference of 1.
Answer:
i think it's 2 and 3
Step-by-step explanation:
2 + 3 =5
3 - 2 = 1
Answer:
3,2
Step-by-step explanation:
3+2=5
3-2=1
Please help me, thank you :)
Answer:
14+14 + 4pi= 28 + 4pi
\(\pi\)
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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are there any other variables that explain the association between binge-watching tv and irritability?
Internal validity explains the association between binge-watching tv and irritability.
In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.
The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).
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G(Q) = 5 + 3Q + 202 - Q2 C2(Q) = 3 + 4Q + 2 1. Find the MC function for both C1(Q) AND C2(Q). 2. Find AVC function for both Ci(Q) AND C2(Q). 3. Find AFC function for both C1(Q) AND C2(Q). 4. Find AC function for both Ci(Q) AND C2(Q). 5. Find ATC function for both Ci(Q) AND C2(Q).
For C1(Q) = 3 - 2Q.
For C2(Q) = 4.
2. The AVC function
For C1(Q) = 5/Q + 3 + 20/Q - Q.
For C2(Q) = 3/Q + 4 + 2/Q.
3. The AFC function
For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)
For C2(Q) = 0.
4. To find the AC function
For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5.To find the ATC function
For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)
For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
Find the ATC functions for C1(Q) and C2(Q) given the provided cost functions?
1. To find the MC function, we take the derivative of the cost functions with respect to Q.
For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.
For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.
2. To find the AVC function, we divide the cost functions by Q.
For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.
For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.
3. To find the AFC function, we subtract the AVC function from the ATC function.
For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)
= 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.
4. To find the AC function, we add the AVC function to the AFC function.
For
C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).
For
C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.
5. To find the ATC function, we divide the AC function by Q.
For
C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q
= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).
For
C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q
= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.
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Explain work and show formulas.
A retailer pays \( \$ 130,000 \) rent each year for its two-story building. Space in this building is occupied by five departments as shown here.
The rent expense allocated to each department is as follows: Jewelry department: $30,800, Cosmetics department: $46,200, Housewares department: $21,000, Tools department: $9,000, Shoes department: $18,000.
The retailer allocates 70% of the total rent expense to the first floor and 30% to the second floor. Then, the rent expense for each floor is allocated to the departments based on the square footage they occupy. By applying these allocation percentages and calculations, we determined the rent expense for each department.
Rent expense allocation:
- Jewelry department (1,760 sq ft on the first floor): ($130,000 * 70% * 1,760 sq ft) / (1,760 sq ft + 2,640 sq ft) = $30,800
- Cosmetics department (2,640 sq ft on the first floor): ($130,000 * 70% * 2,640 sq ft) / (1,760 sq ft + 2,640 sq ft) = $46,200
- Housewares department (1,848 sq ft on the second floor): ($130,000 * 30% * 1,848 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $21,000
- Tools department (792 sq ft on the second floor): ($130,000 * 30% * 792 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $9,000
- Shoes department (1,760 sq ft on the second floor): ($130,000 * 30% * 1,760 sq ft) / (1,848 sq ft + 792 sq ft + 1,760 sq ft) = $18,000
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A retailer pays \( \$ 130,000 \) rent each year for its two-story building. Space in this building is occupied by five departments as shown here.
Jewelry department - 1,760 square feet of first-floor space
Cosmetics department - 2,640 square feet of first-floor space
Housewares department - 1,848 square feet of second-floor space
Tools department - 792 square feet of second-floor space
Shoes department - 1,760 square feet of second-floor space
The company allocates 70% of total rent expense to the first floor and 30% to the second floor, and then allocates rent expense for each floor to the departments occupying that floor on the basis of space Occupied.
Determine the rent expense to be allocated to each department
Select the correct answer.
3
Twenty-seven minus 2 of a number (2) is not more than 36. What is the number?
A. X>42
B X> -6
C X< 3
X< -6
Answer:
B
Step-by-step explanation:
A 16 foot long ladder is placed against a 12 foot high wall reaching the top exactly How far away from the base of the wall is the bottom of the ladder?
From the base of the wall, the bottom of the ladder is 10.6 feet away
How to find the the distance of the ladderinformation given in the question
hypotenuse = 16 foot long ladder
opposite = 12 foot high wall
adjacent = How far away from the base of the wall is the bottom of the ladder = ?
The problem is solved using the Pythagoras theorem is applicable to right angle triangle. the formula of the theorem is
hypotenuse² = opposite² + adjacent²
plugging the values as in the problem
let x be the required distance
16² = 12² + x²
256 = 144 + x²
256 - 144 = x²
x² = 112
x = √112
x = 10.583
the ladder is 10.6 feet away from the base of the wall
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The ratio of the measures of the sides of a triangles is 9:7:3. If the perimeter of the triangle is 266 inches, find the value of x
Answer: Depends on which side x is...
Step-by-step explanation:
This is my strategy for finding the values using ratios
Add the ratio together: 9 + 7 + 3 = 19
Divide the perimeter by the sum of the ratio: 266/19 = 14
Now we know what a unit of one is on the ratio: 14
Multiply this unit by the ratio amount
Side with ratio 9: 9 × 14 = 126 inches
Side with ratio 7: 7 × 14 = 98 inches
Side with ratio 3: 3 × 14 = 42 inches
Hope this helps?
Consider the set of ordered pairs shown below. Assuming that the regression equation is y^=3.188+0.321x and the SSE =19.019, construct a 95% prediction interval for x=7. X 4, 8, 2, 3, 5
y 6, 7, 4, 5, 1
Click the icon to view a portion of the student's t-distribution table. Calculate the upper and lower limits of the prediction interval. UPL= ___
LPL= ___
(Round to three decimal places as needed.)
The upper and lower limits of the prediction interval for x=7 are as follows:
LPL = 0.139
UPL = 10.743
The 95% prediction interval for x=7 is determined by the formula:
ȳ±t(α/2, n-2)×Syx(1+(1/n)+(x-x¯)2/Σ(xi-x¯)2)1/2
where ȳ is the estimated regression equation, t(α/2, n-2) is the t-value for the given confidence level and degree of freedom, Syx is the standard deviation of errors, x¯ is the mean of x and Σ(xi-x¯)2 is the sum of squares for x.
The given set of ordered pairs are,X = 4, 8, 2, 3, 5Y = 6, 7, 4, 5, 1
Calculating the required values, we have:
n=5Σ
xi = 22Σ
yi = 23Σ
xi2 = 94Σ
xiyi = 81
x¯ = Σxi/n = 22/5 = 4.4
y¯ = Σyi/n = 23/5 = 4.6
Now using the regression equation y^=3.188+0.321x, we can calculate the estimated value for y at x=7, that is y^= 3.188 + 0.321×7 = 5.441
Using the formula, t(α/2, n-2) = t(0.025, 3) from the given student's t-distribution table.t(0.025, 3) = 3.182
Lower limit (LPL) is calculated as follows:
LPL = ȳ - t(α/2, n-2)×Syx(1+(1/n)+(x-x¯)
2/Σ(xi-x¯)2)1/2= 5.441 - 3.182×(19.019/√(5-2))×(1+(1/5)+((7-4.4)2)/94)
1/2= 0.139Upper limit (UPL) is calculated as follows:
UPL = ȳ + t(α/2, n-2)×Syx(1+(1/n)+(x-x¯)
2/Σ(xi-x¯)
2)1/2= 5.441 + 3.182×(19.019/√(5-2))×(1+(1/5)+((7-4.4)2)/94)1/2= 10.743
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(c) given that the system has at least one type of defect, what is the probability that it has exactly one type of defect? (round your answer to four decimal places.)
The probability is 0.357
Given that,
The system has at least one type of defect,
Suppose, A certain system can experience three different types of defects.
Let (i = 1,2,3) denote the event that the system has a defect of type i.
Suppose that the following probabilities are,
P(A1)=0.11
P(A2)=0.08
P(A3)=0.05
P(A1UA2)=0.13
P(A1UA3)=0.13
P(A2UA3)=0.11
P(A1nA2nA3)=0.01
P(A1nA2)=0.06
P(A1nA3)=0.03
P(A2nA3)=0.02
P(A1UA2UA3)=0.14
P= P(A1) + P(A2) + P(A3) - 2P(A1UA2) - 2P(A1UA3) - 2P(A2UA3) + 3P(A1nA2nA3) / P(A1UA2UA3)
P= 0.11 + 0.08 + 0.05 -2*0.06 -2*0.03 -2*0.02 +3*0.01 / 0.14
P=0.357
Hence, the probability is 0.357
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We need to calculate the probability that it has exactly one type of defect
Using given data
+ +
P =
Put the value into the formula
Hence, The probability is 0.357
At the beginning of spring, Sophia planted a small sunflower in her backyard. When
it was first planted, the sunflower was 25 inches tall. The sunflower then began to
grow at a rate of 3 inches per week. How tall would the sunflower be after 9 weeks?
How tall would the sunflower be after w weeks?
Height after 9 weeks:
Height after w weeks:
The height of the sunflower after 9 weeks is 52 inches and the function that represent the height of the sunflower after w weeks = 25 + 3w weeks.
Sophia planted a tiny sunflower in her backyard at the start of spring.
When she planted the sunflower,
The height of the sunflower = Initial height of the sunflower = 25 inches.
Now, The sunflower then began to grow at a rate of 3 inches per week.
Thus, the growth rate of the sunflower = 3 inches/week
The growth in 9 weeks = 3*9 = 27 inches,
The height of the sunflower after 9 weeks = initial height + growth = 25 +27 = 52 inches.
The growth in w week = 3w inches,
The height of the sunflower after w weeks = initial height + growth = 25 + 3w inches.
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The answer to the equation |8x−5|=|11−8x|.
Answer:
x=1
Step-by-step explanation:
Show that there is a solution to the given equation in the given interval. x^5-x^² + 2x + 3 = 0; (-1,0)
The function changes sign from negative to positive in the interval (-1,0), we can conclude that there is at least one root of the equation x^5-x^2 + 2x + 3 = 0 in this interval by the Intermediate Value Theorem. Hence, the statement is true.
To prove that the equation x^5-x^2 + 2x + 3 = 0 has a solution in the interval (-1,0), we will use the Intermediate Value Theorem. We know that the function is continuous in this interval, so all we have to do is show that the function takes on both negative and positive values within the interval.
To do this, we can evaluate the function at the endpoints of the interval and find their signs:When x = -1, we have: (-1)^5 - (-1)^2 + 2(-1) + 3 = -1 - 1 - 2 + 3 = -1 < 0When x = 0, we have: 0^5 - 0^2 + 2(0) + 3 = 3 > 0Since the function changes sign from negative to positive in the interval (-1,0), we can conclude that there is at least one root of the equation x^5-x^2 + 2x + 3 = 0 in this interval by the Intermediate Value Theorem. Hence, the statement is true.
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A number line going from negative 5 to positive 5. From positive 2 to positive 5 is positive 3.
David added 2 and –3 using the number line tool. Which of the following errors did he make?
He started at 2 instead of zero.
He moved right 2 units for positive 2.
He moved right 3 units for negative 3.
He started at zero instead of 2.
The correct statement is :David started at 0 instead of 2
What is a number line in math?A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.
Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3
The right steps are
Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5
Thus 2+3=5 which is the required answer
but David addes 2-3=-1 which is incorrect.
Hence, David started at 0 instead of 2
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The test scores of 30 students are listed below. Find the five-number summary.
31 41 45 48 52 55 56 58 63 65
67 67 69 70 70 74 75 78 79 79
80 81 83 85 5 87 90 92 95 99
The five-number summary is:
Minimum: 5
Q1: 60.5
Median (Q2): 72
Q3: 84
Maximum: 99
What is median?The middle number or central value within a set of data is known as the median. The number that falls in the middle of the range is also the median.
To find the five-number summary, we need to arrange the given test scores in ascending order:
5, 31, 41, 45, 48, 52, 55, 56, 58, 63,
65, 67, 67, 69, 70, 70, 74, 75, 78, 79,
79, 80, 81, 83, 85, 87, 90, 92, 95, 99.
The five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
1. Minimum: The smallest value in the data set is 5.
2. Q1: The first quartile is the median of the lower half of the data set. The lower half of the data set is:
5, 31, 41, 45, 48, 52, 55, 56, 58, 63,
65, 67, 67, 69.
The median of this lower half is (58 + 63) / 2 = 60.5. Therefore, Q1 = 60.5.
3. Q2 (Median): The median is the middle value in the data set. Since there are 30 data points, the median is the average of the 15th and 16th values:
Q2 = (70 + 74) / 2 = 72.
4. Q3: The third quartile is the median of the upper half of the data set. The upper half of the data set is:
75, 78, 79, 79, 80, 81, 83, 85, 87, 90,
92, 95, 99.
The median of this upper half is (83 + 85) / 2 = 84. Therefore, Q3 = 84.
5. Maximum: The largest value in the data set is 99.
The five-number summary is:
Minimum: 5
Q1: 60.5
Median (Q2): 72
Q3: 84
Maximum: 99
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Amelia is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Amelia who has hooked a fish that is 10 meters below the surface of the water. Use a positive or negative number to represent the location in relation to sea level. Amelia= Top of the Light house= The Boat= The Fish= How many meters is Amelia from the fish?
Answer:
Amedia = 30 m
Top of the Lighthouse = +45 m
Boat = 0
Fish = - 10 m
The distance between Amelia and the fish is 40 meter
Step-by-step explanation:
Amelia = 30 m ( height of the cliff) since Amelia is standing on it's edge
-Top of lighthouse = lighthouse is located on top of the cliff ;
mean height of cliff + height of light house = (30 + 15) = 45 m
-The boat = 0 (on the surface of water) ; this is the sea level surface or point
-The fish = - 10 m (10 meters below the water surface).
Distance between Amelia and fish :
30 m - ( - 10 m) = 30 m + 10 m = 40 m
Help me help me please !! And Thank you!!
Answer:
i think its c
Step-by-step explanation:
sorry if its incorrect
Answer:
the answer is A. dont follow that shi1tty point sucking idiot that said c
Step-by-step explanation:
the following is part of an anova table, which was the result of three treatments and a total of 15 observations. source of variation sum of squares degrees of freedom mean square f between treatments 64 within treatments (error) 96 total the number of degrees of freedom corresponding to within treatments is . a. 3 b. 12 c. 15 d. 2
The degrees of freedom associated with within treatments are 12 within the variation sum of squares degrees of freedom mean square f between treatments 64 within treatments (error) 96.
The ANOVA table divides the overall variance into variation between treatments and variation within treatments. Each source of variation's degrees of freedom (DF) is also provided.
According to the information provided, there are three treatments and a total of 15 observations. As a result, the total degrees of freedom is:
\(DF_{total}\) = n - 1
where n is the number of observations
\(DF_{total}\)= 15 - 1 = 14
The degrees of freedom between treatments are equal to the number of treatments minus one:
\(DF_{between}\) = k - 1
where k is the number of groups being compared
\(DF_{between}\)= 3 - 1 = 2
The number of treatments minus one equals the degrees of freedom between treatments, that is 2
We may use the following formula to calculate the degrees of freedom within treatments:
\(DF_{within}\) = \(DF_{total} - DF_{between}\)
Substituting the values we have:
\(DF_{within}\) = 14 - 2 = 12
\(DF_{within}\) = 12
As a result, the answer is 12. The degrees of freedom associated with within treatments are 12.
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A fish is 12 feet below the sea level. A bird is 28 feet above sea level. If the bird is directly
above the fish, how far apart are they?
Answer:
they are 40 feet apart!
Step-by-step explanation:
hopes this helps!!>_<
Answer:
40 Feet Apart
Step-by-step explanation:
Since the fish is 12 below sea level and the bird is 28 above sea level you just add both their distances together.