Answer: Option B is the correct answer
Step-by-step explanation:
Area of lateral surface = 3 x Area of rectangle
The rectangle is of 5 inches wide and 14 inches long.
Area of rectangle = 5 x 14 = 70 square inches
Area of lateral surface = 3 x Area of rectangle
Area of lateral surface = 3 x 70 = 210 square inches
Option B is the correct answer.
estimate the product of 3.8 and 11.9 by rounding
The product or multiple of 3.8 and 11.9 by rounding off (simplification) is equal to 45.22.
What is simplification in mathematics?Simplification means keeping it simple. In mathematics, it simplifies or simplifies formulas/fractions/problems into simpler forms. Simplify the problem with calculations and solutions.
Simplification generally means finding answers to complex calculations involving division, multiplication, square roots, cube roots, plus and minus numbers.
Why do we use simplification?Simplicity complicates deadpan, making it easier to understand and solve. Here are some advantages of solving a problem or equation by simplification.
It helps you solve your problem in fewer steps. Complex problems can be reduced to simpler forms by following the rules of simplification
According to the question:
3.8×11.9 = (38/10)×(119/10)
= 4522/100
= 45.22
To learn more about simplification, visit the link below
https://brainly.com/question/2804192
#SPJ1
Rewrite the expression in terms of ln 3 and ln 4.
ln(144)
ln(144) can be written in terms of ln(3) and ln(4) as:
ln(144) = 4 ln(2) + 2 ln(3) ≈ 4 ln(1.386) + 2 ln(3) ≈ 2.7726 + 2 ln(3)
We can use the logarithmic property that states that ln(a * b) = ln(a) + ln(b) to rewrite ln(144) in terms of ln(3) and ln(4).
First, we can find the prime factorization of 144:
[tex]144 = 2^4 * 3^2[/tex]
Using the property above, we can rewrite ln(144) as:
[tex]ln(144) = ln(2^4 * 3^2) = ln(2^4) + ln(3^2)[/tex]
Now, we can use another logarithmic property that states that ln(aᵇ) = b * ln(a) to simplify ln(2⁴) and ln(3²):
ln(144) = 4 ln(2) + 2 ln(3)
Therefore, ln(144) can be written in terms of ln(3) and ln(4) as:
ln(144) = 4 ln(2) + 2 ln(3) ≈ 4 ln(1.386) + 2 ln(3) ≈ 2.7726 + 2 ln(3)
learn more about logarithmic
https://brainly.com/question/30085872
#SPJ1
the base of a parallelogram is one third its height if the area is 768 square cm find the base and height
The base and height of the parallelogram is B = 16 cm and H = 48 cm
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the area of the parallelogram be represented as A
Now , area of parallelogram A = bh
And , base of a parallelogram is one third its height
So , B = ( 1/3 )H
And , area of parallelogram is A = 768 cm²
On simplifying , we get
768 = ( 1/3 )H²
Multiply by 3 on both sides , we get
H² = 2304
Taking square roots on both sides , we get
H = 48 cm
So , the height of the parallelogram is 48 cm
And , the base of the parallelogram is 16 cm
Hence , the base and height of the parallelogram are 16 cm and 48 cm respectively
To learn more about parallelogram click :
https://brainly.com/question/23488153
#SPJ9
HW6.8. Finding a basis of the orthogonal complement Consider the matrixA=0100−10100−10100−1Find a basis for the orthogonal complement to the column space ofA. How to enter the solution: To enter your solution, place the entries of each vector inside of brackets, each entry separated by a comma. Then put all these inside brackets, again separated by a comma. Suppose your solutions is12−10,2301. Then please enter[[1,2,−1,0],[2,3,0,1]]Additional attempts available with new variants
The orthogonal complement of the column space of a matrix A is the set of vectors that are perpendicular to the vectors in the column space. To find a basis for the orthogonal complement of the column space of A, we can use the Gram-Schmidt process.
This process starts with the columns of A, orthogonalizes them, and then adds the orthogonalized vectors to the basis of the orthogonal complement. We can find a basis for the orthogonal complement of the column space of A by performing the Gram-Schmidt process.
The result of this process is [[1,2,-1,0], [2,3,0,1]], which is the basis of the orthogonal complement of the column space of A.
Know more about orthogonal here
https://brainly.com/question/2292926#
#SPJ11
18. To find the perimeter of a regular octagon, use the
expression 8s, where s represents side length. If the
side length of a regular octagon is 1. 5 feet, what is
its perimeter in feet?
The perimeter of a regular octagon, we use the expression 8s, where s represents side length. The perimeter of a regular octagon with side length 1.5 feet is equals to the 12 feet.
Regular octagon is a polygon with eight sides. The perimeter of a polygon is equals to the sum of all its sides. All eight sides of regular octagon are same measure. So, in other words the perimeter of Regular octagon is equal to eight times the length its side. Here,
Side length of a regular octagon
= 1.5 feet
=> Perimeter = 8 × 1.5 feet [An octagon has 8 sides]
=> Perimeter = 12 feet
Hence, required perimeter is 12 feet.
For more information about regular octagon, visit :
https://brainly.com/question/27389561
#SPJ4
The median stock price for firms in the Camaro Stock Market is $30, and the standard deviation is $8.20. Assume that the stock prices are normally distributed.
(i) What is the probability a firm will have a stock price of at least $40?
(ii) How high does a stock price have to be to put a firm in the top 10%?
Do NOT use EXCEL
a) (i) 0.3112
(ii) 20.50
b) (i) 0.2112
(ii) 50.50
c) (i) 0.1112
(ii) 40.50
d) (i) 0.6112
(ii) 30.50
e) None of the answers are correct
The probability a firm will have a stock price of at least $40 is 0.1112. There should be 40.50 stock price have to be to put a firm in the top 10%. The correct answer is e) None of the answers are correct.
(i) To find the probability that a firm will have a stock price of at least $40, we need to find the z-score for $40 and use the standard normal table to find the corresponding probability. The z-score is calculated as (x - μ)/σ, where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
In this case, the z-score for $40 is (40 - 30)/8.20 = 1.22. Using the standard normal table, we find that the probability of a z-score less than 1.22 is 0.8888. Therefore, the probability of a stock price of at least $40 is 1 - 0.8888 = 0.1112.
(ii) To find the stock price that puts a firm in the top 10%, we need to find the z-score that corresponds to the 90th percentile in the standard normal table. The z-score for the 90th percentile is 1.28. We can then use the formula x = μ + zσ to find the stock price that corresponds to this z-score. In this case, the stock price is 30 + 1.28(8.20) = 40.50.
Therefore, the correct answer is (i) 0.1112 and (ii) 40.50.
Learn more about probability at https://brainly.com/question/15029568
#SPJ11
the two triangles in the diagram are similar there are 2 possible values for x
The possible values of x are 2 and 17
How to determine the possible values of xThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Similar triangles
In the triangles, we have the following possible equations
15/18 = 10/(10 + x)
10/18 = 15/(10 + x)
Solving the equations, we have
15/18 = 10/(10 + x)
150 + 15x = 180
15x = 30
x = 2
10/18 = 15/(10 + x)
100 + 10x = 270
10x = 170
x =17
Hence, the values of x are 2 and 17
Read mroe about triangles at
https://brainly.com/question/14285697
#SPJ1
Complete Question
The two triangles in the diagram are similar there are 2 possible values for x
See attachment for image of the triangle
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
2x+6/5= 4x-3
Proofs
The given statement [tex]x = \frac76[/tex] can be proved by using the given equation.
What is Algebra?Algebra, a discipline of mathematics where abstract symbols rather than concrete numbers are subjected to arithmetic operations and formal transformations. The idea that there is such a separate branch of mathematics, as well as the term algebra to identify it, came about gradually through time. tries to find solutions to equations that contain one or more unknown quantities. Although early mathematicians would not have been familiar with such a concept, the word "equation" is frequently employed to conveniently represent these operations when discussing the early history of algebra.
As per the given data:
[tex]\frac{2x+6}{5} = 4x -3[/tex]
Simplifying to evaluate the expression:
[tex]\frac{2x+6}{5} = 4x -3[/tex]
[tex]= 2x+6 = 5(4x -3)\\= 2x + 6 = 20x - 15\\= 18x = 21\\= x = \frac{21}{18}\\\\= x = \frac76[/tex]
Hence, the given statement [tex]x = \frac76[/tex] can be proved by using the given equation.
To learn more about Algebra, click:
brainly.com/question/24875240
#SPJ1
need help finding side length. asap pls
The missing side in the triangle has a length of 9.899.
What is the property of an isosceles triangle?In an isosceles triangle, the two sides are equal and the angles opposite to the two equal sides are also equal.
In the figure, ∠RQS = ∠RSQ =45°
Thus, it is an isosceles triangle with sides RQ=RS= 7
What is Pythagoras' theorem?
According to Pythagoras' theorem for a right-angled triangle:
Base² + Height²= Hypotensuse²
In the given figure: Base = 7 and Height = 7,
Thus, QS²= RQ² + RS²
QS² = 7² + 7²
QS = √98
=9.899
Learn more about Pythagoras' theorem here:
https://brainly.com/question/343682
#SPJ1
Kendra’s water bottle contains 2 quarts of water.she wants to add drink mix to it, but he directions for the drink mix give the amount of water in fluid ounces.how many fluid ounces are in her bottle
By answering the above question, we may infer that So Kendra's water equation bottle holds 64 fluid ounces.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The volume of a quart is 32 fluid ounces. Kendra's water bottle, which holds 2 quarts of water, therefore has:
64 fluid ounces are equal to 2 quarts when each is 32 fluid ounces.
So Kendra's water bottle holds 64 fluid ounces.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
area of a triangle that is 34in base. and 14in height.
Answer:
Step-by-step explanation:
A=[tex]\frac{1}{2}[/tex]bh
=[tex]\frac{1}{2}[/tex]×34×14
=238 in²
If someone could help I would really appreciate it. The scale on a map is 1: 200,000. The length of a road on the map is 4 cm What is the length of the road in real life? Give your answer in kilometres.
Answer: If the ratio is 1:200,000 then the length of the road in centimeters is 800,000 centimeters meaning the conversion of this to kilometers would be 8 kilometers
Step-by-step explanation: every 100k (100,000) cm in kilometers would be 1 kilometer so take that and for the 200,000 times 4 is 800,000 which means the answer is 8 kilometers
________________________________________________________
Suppose g(x)=x+3/2. Evaluate g(g(1)) and g(g(g(1)))
Answer: g(g(1)) = 4 and g(g(g(1))) = 5 1/2
Step-by-step explanation:
We will first find g(1). To do so, we plug 1 in for x.
g(1) = (1) + 3/2 = 5/2 = 2 1/2
To find g(g(1)) we will plug in 5/2 for x.
g(g(1)) = (5/2) + 3/2 = 8/2 = 4
To find g(g(g(1))) we will plug in 4 for x.
g(g(g(1))) = (4) + 3/2 = 11/2 = 5 1/2
Hope this helps!
A shadow 9 feet long is cast by a plum tree that is 12 feet tall. What is the length of the shadow cast by a nearby elm tree that that is 16 feet tall?
Write your answer as a whole number or a decimal. Do not round.
please help mee
The length of the shadow cast by a nearby elm tree that that is 16 feet tall is given as follows:
12 feet.
How to obtain the length of the shadow?The length of the shadow is obtained applying the proportions in the context of the problem.
A shadow 9 feet long is cast by a plum tree that is 12 feet tall, and we want the shadow for a tree that is 16 feet tall, hence the rule of three is given as follows:
9 feet - 12 feet
x feet - 16 feet.
Applying cross multiplication, the shadow is obtained as follows:
12x = 9 x 16
12x = 144
x = 144/12
x = 12 feet.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Create utilities for location and price combinations considering restrictions listed on the case study (200-level seats cannot be less than $60, 300-midcourt seats cannot be less than $35).
Based on the results,
1.which location & price combination is the best alternative to raise prices? Which location & price combination is the best alternative to lower prices?
2. How much could administration raise 300 mid-level seat prices to give them the same level of attractiveness as the next best alternative? Should they raise the prices to the calculated level? Please explain.
1. To raise prices, the best alternative is to increase the price of 200-level seats to $60 or higher. To lower prices, the best alternative is to reduce the price of 300-midcourt seats to $35 or lower.
2. Administration could raise 300 mid-level seat prices to make them as attractive as the next best alternative. To calculate the optimal level, the cost of the next best alternative (200-level seats) needs to be compared with the cost of the 300-midcourt seats. If the cost of the 300-midcourt seats is lower than the cost of the 200-level seats, administration should raise the price of the 300-midcourt seats to match the cost of the 200-level seats. The attractiveness of the two options should be assessed to determine if the 300-midcourt seats should be priced at the calculated level.
Learn more about alternative
brainly.com/question/29454589
#SPJ11
A laundry detergent company's 32-ounce bottles pass inspection 98/100 of the time. If the bottle does not pass inspection, the company loses the unit cost for each bottle of laundry detergent that does not pass inspection, which is $3. 45. If 800 bottles of laundry detergent are produced, about how much money can the company expect to lose?
The business can anticipate losing roughly $55.20 as a result of subpar inspections.
Probability is a measure of the likelihood or chance of an event occurring. It is usually expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
If the bottles pass inspection with probability 98/100, then they fail inspection with probability 1 - 98/100 = 2/100 = 0.02.
Out of 800 bottles of laundry detergent, we can expect about 0.02*800 = 16 bottles to fail inspection.
The cost to the company for each failed bottle is $3.45, so the total cost to the company is approximately 16*$3.45 = $55.20.
Therefore, the company can expect to lose about $55.20 due to failed inspections.
To learn more about probability visit;
https://brainly.com/question/11234923
#SPJ1
What is the future value of $2000 earning 18% interest,
compounded monthly, for 4 years? (Round your answer to two decimal
places.)
The future value of $2000 earning 18% interest, compounded monthly, for 4 years is $6,116.23.
To calculate the future value, we use the formula:
[tex]FV = P(1 + r/n)^{nt}[/tex]
Where:
FV is the future value
P is the principal amount ($2000)
r is the annual interest rate (18%)
n is the number of times the interest is compounded per year (12 for monthly compounding)
t is the number of years (4)
Plugging in these values, we get:
[tex]FV = 2000(1 + 0.18/12)^{12*4}[/tex]
FV = 6116.23
Therefore, the future value of $2000 earning 18% interest compounded monthly for 4 years is approximately $6,116.23. This means that if you invest $2000 today and earn 18% interest compounded monthly for 4 years, your investment will grow to $6,116.23 at the end of the 4-year period. It's important to note that the actual value may vary depending on the exact compounding method used by the bank or financial institution.
For more questions like Future Value visit the link below:
https://brainly.com/question/29282419
#SPJ11
DBA QUESTION #3
How is the distributive property used when finding the product of two polynomials?
Give an example.
How are polynomials closed under multiplication?
Answer:
The distributive property is used when finding the product of two polynomials by distributing one polynomial to each term of the other polynomial. For example, if we wanted to multiply (3x - 4)(2x + 5), we would use the distributive property by first multiplying 3x(-4) and 2x(5) and then adding the results together.
Polynomials are closed under multiplication, meaning that when two polynomials are multiplied together, the result is always another polynomial. This is true because a polynomial is a combination of constants and variables raised to non-negative integer powers, and when two polynomials are multiplied, the result is a combination of constants and variables raised to non-negative integer powers, which is a polynomial.
A table of values for a one-to-one function is given. Find the
indicated value.
x
1
2
3
4
5
6
f(x)
7
9
3
0
4
1
f −1(0) =
The inverse of a function, denoted f^-1(x), is a function that "undoes" the original function. In other words, if f(x) = y, then f^-1(y) = x.
To find the inverse of a function from a table of values, we simply switch the x and y values. So, for the given table of values:
x | 1 | 2 | 3 | 4 | 5 | 6
---|---|---|---|---|---|---
f(x) | 7 | 9 | 3 | 0 | 4 | 1
The inverse function f^-1(x) would have the table of values:
x | 7 | 9 | 3 | 0 | 4 | 1
---|---|---|---|---|---|---
f^-1(x) | 1 | 2 | 3 | 4 | 5 | 6
Now, to find f^-1(0), we simply look for the value of x that corresponds to f^-1(x) = 0. From the table, we can see that f^-1(0) = 4.
Therefore, the answer is f^-1(0) = 4.
To know more about one-to-one function refer here:
https://brainly.com/question/29256659
#SPJ11
Prove that these two statements have the same slope: y = -3x - 8 and 3x + y = -8
Answer:
When you make 3x + y = -8 into a slope intercept equation it will become the same question
3x + y = -8
-3x | -3x
y = -3x - 8
The graph of f(x)=x^2 was transformed to create g(x)=2/3x^2 Mark the statement. True or False
The graph of g(x) will be wider than f(x)
Graph of g(x) will be wider than f(x) is false.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The graph of f(x)=x² was transformed to create g(x)=2/3x².
The transformation applied to f(x) to create g(x) is a vertical compression by a factor of 2/3.
This means that the graph of g(x) will be narrower than the graph of f(x), not wider.
Specifically, the parabola of g(x) will be compressed vertically towards the x-axis by a factor of 2/3, making it more pointy than the original graph of f(x).
Hence, graph of g(x) will be wider than f(x) is false.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ9
david is filling five 3/4 quart bottles wich a sports drink his measuring cup only holds 1/4 quart. how many times will david need to fill the measuring cup in order to fill the 5 bottles
David will need to fill the measuring cup 15 times in order to fill the 5 bottles.
What does measurement mean?An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Each bottle holds 3/4 of a quart, and his measuring cup holds 1/4 of a quart.
David will have to fill his measuring cup 3 times in order to fill 1 bottle of capacity 3/4 quarts.
For 5 bottles, it will be 3*5 times which results in 15 times.
Thus, David will need to fill the measuring cup 15 times in order to fill the 5 bottles.
Learn more about measurement
https://brainly.com/question/27233632
#SPJ1
You have $109 in the bank and your parents just gave you $281 for your birthday. Now you have exactly enough money to buy a laptop. How much does the laptop cost? Write an equation to represent the question. Use x as the variable.
Answer:
$109+$281=x when x=391
so that means a laptop equals $391 dollars
Equation: 4P + 5O2 → 2 P2O5
How many moles of P2O5 are formed from 3.4 grams of O2? Show the math
90 POINTSSSS!!! :)
The mass of the P₂O₅ formed from 3.4 moles of O₂ gas is equal to 386.1 g.
What is a mole?A mole can be described as a unit for measurement of a huge number of quantities of atoms, molecules, ions, or other particles. The atomic mass can be expressed as the one mole of any element.
The number of particles present in one mole was to be equal to 6.023 × 10 ²³ which is Avogadro’s constant.
Given, the number of moles of O₂ gas = 3.4 moles
The balanced chemical reaction of phosphorous and oxygen gas can be given as:
4 P + 5 O₂ → 2 P₂O₅
5 mol of Oxygen reacts with moles of P₂O₅ = 2 mol
3.4 mol of O₂ gas reacts with moles of P₂O₅ = (2/5) × 3.4 = 1.36 mol
The mass of the 1.36 mol of P₂O₅ = 1.36 × 283.89 = 386.1 g
Learn more about the mole, here:
https://brainly.com/question/26416088
# 20 i
STRUCTURE Find the value of x for which PQ|| RS
P 2x + 4
Q
x =
3x + 5
Previous
13
R
14
S5
7
15
T
16
The value of the variable x for the similar triangles is equal to 3
How to evaluate the value of x for the similar trianglesThe triangles PTQ and STR are similar, this implies that the length ST of the smaller triangle is similar to the length PT of the larger triangle
and the length RT of the smaller triangle is similar to the length QT of the larger triangle
so;
5/(2x + 9) = 7/(3x + 12)
5(3x + 12) = 7(2x + 9) {cross multiplication}
15x + 60 = 14x + 63
15x - 14x = 63 - 60 {collect like terms}
x = 3.
Therefore, the value of the variable x for the similar triangles is equal to 3
Know more about similar triangles here:https://brainly.com/question/14285697
#SPJ1
For the points(2,73)and(−22,3), (a) Find the exact distance between the points. (b) Find the midpoint of the line segment whose endpoints are the given points. Part 1 of 2 (a) The exact distance between the points is Part 2 of 2 (b) The midpoint is
For Part 1 of 2 (a): The exact distance between the points (2,73) and (-22,3) is 74.
For Part 2 of 2 (b): The midpoint of the line segment whose endpoints are the given points is (−10,38).
(a) The exact distance between the points is found using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)²]
Where (x1, y1) and (x2, y2) are the coordinates of the given points. Plugging in the values from the given points:
d = √[(-22 - 2)² + (3 - 73)²]
Simplifying:
d = √[(-24)² + (-70)²]
d = √[576 + 4900]
d = √[5476]
d = 74
Therefore, the exact distance between the points is 74.
(b) The midpoint of the line segment whose endpoints are the given points is found using the midpoint formula:
M = [(x1 + x2)/2, (y1 + y2)/2]
Where (x1, y1) and (x2, y2) are the coordinates of the given points. Plugging in the values from the given points:
M = [(2 + (-22))/2, (73 + 3)/2]
Simplifying:
M = [(-20)/2, (76)/2]
M = [-10, 38]
Therefore, the midpoint is (-10, 38).
TO know more about Distance and midpoint calculations here:
https://brainly.com/question/28859753#
#SPJ11
Are the ratios 3:6 and 2:4 equivalent? ) yes no
Answer:
Yes, the ratios 3:6 and 2:4 are equivalent because they represent the same proportion. To confirm, we can simplify both ratios to their simplest form:
3:6 can be simplified by dividing both terms by 3: 3/3 : 6/3 -> 1:2
2:4 can be simplified by dividing both terms by 2: 2/2 : 4/2 -> 1:2
Since both ratios simplify to the same ratio, 1:2, they are equivalent.
Answer: yes !!
Step-by-step explanation: 3:6 and 2:4 are equivalent b/c of their common factors.
Please help i got reset on the app
Write 3 3/4 feet as a single fraction greater than one.
For each of the following statements, indicate if it is true or false. Write T for a true statement, and F for a false statement. You will receive 1 point for every correct answer and .5 negative points for every incorrect answer (but you cannot receive a negative mark on this question). (a). If A is an m x n matrix and B is an n x n matrix, where m
The given statement " If A is an m x n matrix and B is an n x n matrix, then A × B is an m x n matrix" is True. Correct answer of (a) is T.
This statement is definately true because, it helps to consider the dimensions of a matrix. The dimensions of a matrix refer to the number of rows and columns it contains. In the case of an m x n matrix (A) and an n x n matrix (B), the dimensions of A are m rows and n columns, while the dimensions of B are n rows and n columns.
When A is multiplied by B, the result is an m x n matrix, meaning it contains m rows and n columns. This is due to the fact that the number of columns of the first matrix (A) must equal the number of rows of the second matrix (B) in order for the matrices to be compatible for multiplication.
To know more about matrix here:
https://brainly.com/question/28180105
#SPJ11
The owner of a beverage company wants to determine whether two of his machines are filling bottles with the correct amount of liquid. He randomly selects 20 bottles filled by each of the two machines and measures the number of ounces that the bottles contain. The histograms below show the data. If the machines are designed to dispense between 5 and 6 ounces into a bottle, which machine appears to be doing a better job? Explain how you determined your answer.
Based on the histograms, it appears that Machine B is doing a better job of dispensing the correct amount of liquid.
What is histogram?The most common graph for displaying frequency distributions is a histogram.
To begin, Machine B's histogram is more symmetrically distributed around the 5.5-ounce mark, which is the target fill level.
Machine A's histogram, on the other hand, is skewed to the right, indicating that it is more likely to dispense more than 5.5 ounces.
Second, Machine B's histogram has a narrower spread, with most measurements falling between 5.4 and 5.6 ounces.
This indicates that the machine fills the bottles consistently within a narrow range of the target fill level.
Thus, the histogram for Machine A, on the other hand, has a wider range, with some measurements falling below 5.4 ounces and others exceeding 5.6 ounces, indicating a less consistent performance.
For more details regarding histogram, visit:
https://brainly.com/question/30354484
#SPJ1
Your question seems incomplete, the probable complete question is: