Divine the total number of the entire chart by the number of a single line or bar to give you the ratio in a bar or line chart. For example, if a bar or line represented 5 in a chart with a total of 30, you would divide 30 by 5. This would give you a result of 6. Therefore, the ratio would be 6:1.
Suppose that a rectangular piece of glass has a perimeter of 20 meters. If we multiply both its length and its width by 4, what will be the perimeter of the new rectangular piece of glass?
A. 65 m
B. 80 m
C. 34 m
D. 45 m
Answer:
Answer B is the correct answer
Step-by-step explanation: :)
Which expression is equivalent to -343-507
-125-150
- 22-150
-125-250
-23-350
None of the given expressions are equivalent to -343-507. To find the expression that is equivalent to -343-507, we need to simplify the given expression by adding the numbers.
So, -343-507 is equal to -850.
Now, we need to check which of the options is also equal to -850.
If we add -125 and -150, we get -275, which is not equivalent to -850.
Similarly, adding -22 and -150 gives us -172, which is also not equivalent.
However, adding -125 and -250 gives us -375, which is not equivalent either. Finally, adding -23 and -350 gives us -373, which is also not equivalent. Therefore, none of the given expressions are equivalent to -343-507.
Learn more about expression here:
brainly.com/question/9657981
#SPJ11
Added more points for this check profile
The parallel lines a and b (a║b), the alternate interior angles, ∠(5·x - 7) and ∠(3·x + 17), and the linear pair angles, ∠(5·x - 7) and ∠(4·y + 3) gives;
x = 12, and y = 31What are parallel lines?Parallel lines are lines that are continuously equidistant from each other along their length and never meet.
The given parameter are;
Line a is parallel to line b, which gives a║b
From the figure, we have;
∠(5·x - 7) and ∠(3·x + 17) are alternate interior angles
Alternate interior angles formed between parallel lines are congruent, which gives;
∠(5·x - 7) ≅ ∠(3·x + 17)
∠(5·x - 7) = ∠(3·x + 17) definition of congruent angles
5·x - 7 = 3·x + 17
5·x - 3·x = 17 + 7 = 24
2·x = 24
\(x = \dfrac{24}{2} =12\)
x = 12
∠(5·x - 7) and ∠(4·y + 3) are linear pair angles,. which gives;
∠(5·x - 7) and ∠(4·y + 3) are supplementary angles (linear pair angles are supplementary)
∠(5·x - 7) + ∠(4·y + 3) = 180° definition of supplementary angles
5·x - 7 + 4·y + 3 = 180
5×12 - 7 + 4·y + 3 = 180
4·y = 180 - (5×12 - 7 + 3) = 124
y = 124 ÷ 4 = 31
y = 31
Learn more about angles formed by parallel lines having a common transversal here:
https://brainly.com/question/13209798
#SPJ1
If 8 people consisting of 4 couples are randomly arranged in a row, find the probability that no person is next to their partner.
The Probability that no person is next to their partner is 104/105.
Probability of an event E represented by P(E) can be defined as (The number of favorable outcomes )/(Total number of outcomes).
Permutations is defined as arrangement of elements/objects in a particular way.
According to the question ,
8 people can be arranged in 8! ways = 40320ways
First let us find the probability that person is next to their partner.
4 couples can be arranged in 4! ways
and the couple itself can be arranged in 2! ways
Since there are 4 couples ,
Number of arrangement = \(4!(2!)^{4}\)
=24x16
=384 ways
Probability that person is next to their partner = \(\frac{384}{40320} =\frac{1}{105}\)
and the probability that no person is next to their partner is \(1-\frac{1}{105} =\frac{104}{105}\).
Therefore , the probability that no person is next to their partner is \(\frac{104}{105}\).
Learn more about Probability here https://brainly.com/question/10702719
#SPJ4
Consider a perfectly competitive firm that produces output from labor and capital under the following cond
2
ions: Y=100K
1/2
+40L
1/2
- P=$2 - W=$8 - R=$10 a. Suppose that the firm has decided to employ 25 units of labor and is currently employing 50 units of capital. What will its profit be at those employment levels? b. What equation describes the profit-moximizing quantity of capital for this firm? c. To raise profits, should the firm increase its capital employment (from 50 to something higher), or decrease it? Explain.
(a) The profit of the firm at the current employment levels of 25 units of labor and 50 units of capital can be calculated by subtracting the total cost from total revenue.
The total revenue is given by the output multiplied by the market price, which is $2. The total cost is the sum of the wage cost (W) and the rental cost of capital (R), multiplied by their respective quantities.
Profit = Total Revenue - Total Cost
Profit = (Output * Price) - (Wage * Labor + Rental * Capital)
Given that the output is determined by the production function Y = 100K^(1/2) + 40L^(1/2), the profit can be calculated as follows:
Profit = (100K^(1/2) + 40L^(1/2)) * $2 - ($8 * 25 + $10 * 50)
(b) The profit-maximizing quantity of capital for this firm can be determined by setting the marginal revenue product of capital (MRPK) equal to the rental cost of capital (R). MRPK represents the additional revenue generated by employing an additional unit of capital.
MRPK = R
The marginal revenue product of capital can be calculated as the partial derivative of the production function with respect to capital (K), multiplied by the market price (P):
MRPK = (∂Y/∂K) * P
Using the production function Y = 100K^(1/2) + 40L^(1/2), we can calculate the marginal revenue product of capital as follows:
MRPK = (∂Y/∂K) * P = (50K^(-1/2)) * $2
Setting this equal to the rental cost of capital (R) of $10, we have:
(50K^(-1/2)) * $2 = $10
Simplifying the equation, we find:
K^(-1/2) = 1/5
Squaring both sides of the equation, we get:
K = 25
Therefore, the profit-maximizing quantity of capital for this firm is 25 units.
(c) To raise profits, the firm should decrease its capital employment from 50 to 25 units. This is because the profit-maximizing quantity of capital is determined to be 25 units, as calculated in part (b). By employing fewer units of capital, the firm can reduce its rental cost while still maintaining the optimal level of capital for production. As a result, the firm can lower its total cost and increase its profit. Employing more capital beyond the profit-maximizing level would lead to diminishing returns, where the additional costs outweigh the additional revenue generated. Therefore, reducing capital employment to the optimal level of 25 units would be the most favorable decision for the firm to maximize its profits.
Learn more about profits here:
brainly.com/question/16168992
#SPJ11
11. A campground covers their
rectangular-shaped pool each
winter. If the area of the cover is
333. 5 square feet, and the pool is
23 feet long, find the width.
Of the pool
Given that a campground covers their rectangular-shaped pool each winter. The area of the cover is 333.5 square feet, and the pool is 23 feet long. We need to find the width of the pool.
The formula for finding the area of a rectangle is: Area of rectangle = length × width Given that the area of the cover is 333.5 square feet, and the pool is 23 feet long.
The area of the cover and the area of the pool should be equal. Therefore, we get:333.5 = 23wSolving the above equation for 'w', we get:
w = 333.5/23w = 14.5 feet Therefore, the width of the pool is 14.5 feet.
The width of the pool is 14.5 feet, and the length of the pool is 23 feet. Hence, the area of the pool will be 23 × 14.5 = 333.5 square feet.
The solution is presented in more than 100 words.
To know more about campground visit:
https://brainly.com/question/31307460
#SPJ11
the price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months. oil costs $0.45 per gallon and increases at a rate of $0.05 every six months. how many years will it take for them to be equal in price?
The price of gasoline and oil will be equal in price after 4 years when the price of gasoline is $2.27 per gallon and decreases at the rate of $0.03 every two months.
To find out when the price of gasoline and oil will be equal, we have to set the two prices equal to each other and solve for time. The price of gasoline decreases at the rate of $0.03 every two months and the price of oil increases at a rate of $0.05 every six months.
We can start with the initial prices and solve for the time when they are equal:
$2.27 - 0.03t = 0.45 + 0.05t
where t represents the time in years.
Solving for t, we get:
$2.27 - 0.03t = 0.45 + 0.05t
$1.82 = 0.08t
t = 22.5
Since t is in months, we have to divide by 12 to convert it to years:
t = 22.5 / 12 = 1.875
So the price of gasoline and oil will be equal in price after approximately 4 years.
Learn more about rate :
https://brainly.com/question/13324776
#SPJ4
Nico owns 11 instructional piano books. Two are beginner books, six are intermediate books, and three are advanced books.
If two books are randomly chosen from the collection, one at a time, and replaced after each pick, what is the probability that he first chooses an advanced book and then chooses a beginner book?
StartFraction 5 Over 121 EndFraction
StartFraction 6 Over 121 EndFraction
Five-elevenths
Six-elevenths
The probability that from the 11 books Nico owns, he first chooses an advanced book before then choosing a beginner book, both book chosen with replacement is \(\dfrac{6}{121}\)
What is the probability of choosing with replacement?When the probability of choosing from a collection of items with replacement is being found, the number of options to choose from remain the same during each event.
The given information are;
The number of books Nico owns = 11
The number of beginner books = 2
The number of intermediate books = 6
The number of advanced books = 3
The required probability; That the first book chosen is an advanced book, and the second book chosen is a beginner book, both books chosen with replacement.
Given that the books are chosen with replacement, the probability remains the same after each book is chosen, which gives;
The probability that an advanced book is chosen is; \(P(A) = \dfrac{3}{11}\)
The probability that a beginner book is chosen = \(\dfrac{2}{11}\)
The probability that an advanced book and then a beginner book are chosen is given by \(P(A \cap B) = P(A) \times P(B)\)
Which gives: \(P(A \cap B) = \dfrac{3}{11} \times \dfrac{2}{11} = \dfrac{6}{121}\)
The probability that he first chooses an advanced book then chooses a beginner book is \(\dfrac{6}{121}\)
Learn more about probability here:
https://brainly.com/question/24756209
#SPJ1
Answer:
B
Step-by-step explanation:
Edge 2023 :')
Jacob bought a deluxe computer system for his home business. The system cost
$2,395. The value of the computer system will depreciate at a rate of 12% a year.
What will be the cash value of the computer system in 3 years? Round your answer to
the nearest dollar.
O $287
O $2108
O $1632
O $2682
The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632
DepreciationFrom the question, we are to determine the cash value of the computer system in 3 years
From the given information,
The computer system cost $2,395 and it will depreciate at a rate of 12% a year
After the first year, the worth of the computer system will be
$2,395 - (12% of $2,395)
$2,395 - (0.12 × $2,395)
= $2,395 - $287.4
= $2107.6
After the second year, the worth of the computer system will be
$2107.6 - (12% of $2107.6)
$2107.6 - (0.12 × $2107.6)
= $2107.6 - $252.912
= $1854.688
After the third year, the worth of the computer system will be
$1854.688 - (12% of $1854.688)
$1854.688 - (0.12 × $1854.688)
= $1854.688 - $222.56256
= $1632.12544
≅ $1632
Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632
Learn more on Depreciation here: https://brainly.com/question/27513036
#SPJ1
please answer thisssss
Answer:
A, C and E
Step-by-step explanation:
In the graph, it looks like there are no outliers, as the points are all generally in one line, it looks linear and it has a negative association because as the x value increases, the y value decreases.
Hope this helps!
you have a sample of contaminated benzoic acid that weighs 2.014 g. after performing a proper recrystallization with proper drying, the mass of your purified benzoic acid is 1.611 g. what is your percent recovery rounded to the nearest tenths? do not include the percent symbol in your answer (e.g., if your answer is 10.5%, submit your answer as 10.5).
The percent recovery of benzoic acid is equal to 80.0 if the mass of purified benzoic acid after recrystallization is 1.611 g.
The percent recovery can be described as the amount of a product available after its production and purification.
The percent recovery of benzoic acid can be calculated by using the following formula:
percent recovery of sample = (Mass of purified sample ÷ Mass of contaminated sample) × 100
Substituting the given values of contaminated and purified benzoic acid in this equation;
percent recovery = (1.611 ÷ 2.014) × 100
percent recovery = 0.7999 × 100
percent recovery = 79.99
Rounding it to the nearest tenth;
percent recovery = 80.0
Hence the percent recovery of benzoic acid is calculated to be 80.0
To learn more about percent recovery, click here:
https://brainly.com/question/26415045
#SPJ4
Please help me!
(4/5 - 1/3) x 5^2 + 5/6
Answer:
its c
Step-by-step explanation:
just trust me
Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, determine the average time it takes to rent a video tape. a. 0.085 minutes b. 0.219 minutes C. 0.018 minutes d. 0.141 minutes
The average time it takes to rent a video tape is 0.141 minutes.
Given data:Customers arrive at a video rental desk at the rate of 12 per minute(Poisson).
Each server can handle 8.15 customers per minute(Poisson). If there are 3 servers, we need to determine the average time it takes to rent a video tape.
Let us assume λ = 12 and μ = 3 × 8.15 = 24.45
Average time it takes to rent a video tape = 1 / (μ - λ/n)
Where, n = number of servers⇒ Average time it takes to rent a video tape = 1 / (24.45 - 12/3)⇒ Average time it takes to rent a video tape = 1 / 8.45⇒ Average time it takes to rent a video tape = 0.1185 minutes = 0.141 rounded to three decimal places.
Thus, the average time it takes to rent a video tape is 0.141 minutes.
To know more about average time, click here
https://brainly.com/question/14521655
#SPJ11
Last winter Carrie wrote down the number of days it snowed in February. She noticed that for every 2 snow days , there were 5 days it did not snow. There are a total of 28 days in February, how many days did it snow in February. How many days did it not snow?
find the relative frequency for the class with lower class limit 27 relative frequency =?
Ages Number of students
15 - 18 3
19 - 22 3
23 - 26 9
27 - 30 5
31 - 34 8 25 - 38 8
the relative frequency for the class with lower class limit 27 is 14.29%.Hence, option (4) is the correct answer.
Given,Ages Number of students15 - 18 319 - 22 323 - 26 927 - 30 531 - 34 825 - 38 8We need to find the relative frequency for the class with lower class limit 27.ClassIntervalFrequency15-18319-22323-26927-30531-34825-38 From the given data, we have;Lower limit Upper limit Frequency Relative frequency(Percentage)15 18 3 3/35 × 100 = 60/7 ≈ 8.5719 22 3 3/35 × 100 = 60/7 ≈ 8.5723 26 9 9/35 × 100 = 180/7 ≈ 25.7127 30 5 5/35 × 100 = 100/7 ≈ 14.2931 34 8 8/35 × 100 = 160/7 ≈ 22.8635 38 8 8/35 × 100 = 160/7 ≈ 22.86Therefore, the relative frequency for the class with lower class limit 27 is 14.29%.Hence, option (4) is the correct answer.
To know more about relative frequency Visit:
https://brainly.com/question/28342015
#SPJ11
8-2b = -2 find the solution to the equation
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5
If al band elf what is the value of y?2.) Show your work.(x + 1)e(x-3)
Considering the lines e, f, and a, angles (x + 1)° and (x - 3)° are same side exterior angles, then they are supplementary, that is,
(x + 1) + (x - 3) = 180
(x + x) + (1 - 3) = 180
2x - 2 = 180
2x = 180 + 2
x = 182/2
x = 91
Considering the lines a, b, and e, angles (x + 1)° and y° are alternate side interior angles. Therefore, they are congruent, that is,
x + 1 = y
Substituting with the value of x:
91 + 1 = y
92° = y
Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
Answer:
my brother said it is 5 and 10... but i do not know if it is
Use a number line to compare the numbers:
-1.4 and - 1.1
Which shows the correct symbol to compare the numbers?
O <
O = O >
To compare the values - 1.4 and - 1.1 using a number line, the correct expression for the comparison will be the less than sign, Hence, expressed as - 1.4 < -1.1
On a number line, negative values decreases as we move to the left of the number line ; Hence, values which are situated to the leftmost part are lesser than those to their right.
The value - 1.4 tends more to the left than the value - 1.1 ; therefore, - 1.4 is less than - 1.1
Therefore, the correct expression which shows the relation is - 1.4 < - 1.1
Learn more : https://brainly.com/question/25122690
here is a scatterplot with its least squares regression line. lsr line with grid marks if there is scatter in the data about the line, there is prediction error. which value of x has the largest absolute prediction error?
Without seeing the scatterplot or the data, it is difficult to determine the exact value of x that has the largest absolute prediction error.
However, in general, the x-value with the largest absolute prediction error is typically the x-value that is farthest away from the regression line.
To calculate the prediction error for a given x-value, you can first calculate the predicted y-value for that x-value using the equation of the regression line. Then, you can subtract the actual y-value for that x-value from the predicted y-value to get the prediction error.
The absolute value of the prediction error represents the magnitude of the difference between the actual and predicted values, regardless of whether the prediction was too high or too low. Therefore, to find the x-value with the largest absolute prediction error, you can calculate the absolute prediction error for each x-value and then identify the x-value with the largest value.
To learn more about scatterplot refer below:
https://brainly.com/question/30017616
#SPJ11
Please help I’ll mark brainlist
Answer:
m=-24
Step-by-step explanation:
Subtract 12 on both sides
m + 12 - 12 = -12 - 12
m = -24
convert grams per cubic centimeter to kilograms per cubic meter
Grams per cubic centimeter to kilograms per cubic meter is 1000.
1 g/cm³ = 1000 kg/m³
The conversion value:
1 gram = 1/1000 kg
1 cm³ = 1/1000000 m³
Find the conversion from grams per cubic centimeter to kilograms per cubic meter!
Grams per cubic centimeter = g/cm³
Kilograms per cubic meter = kg/m³
Multiply the number with the each conversion value!
See that the cubic centimeter is as a denominator. So, we reverse the fractional value.
1 g/cm³
= 1 × 1/1000 × 1000000/1 kg/m³
= 1000 kg/m³
Hence, the conversion value from grams per cubic centimeter to kilograms per cubic meter is 1000.
Learn more about mass conversion here:
brainly.com/question/25691364
#SPJ4
The variance of a sample or a population cannot be _____. a. zero b. calculated c. negative d. less than1
The variance of a sample or a population cannot be negative. This means that option c, negative, is the correct answer.
Variance is a statistical measure that quantifies the dispersion or spread of data points around the mean. It tells us how much the individual data points deviate from the average. The variance is always a non-negative value because it is calculated by summing the squared differences between each data point and the mean, divided by the total number of data points.
If the variance were negative, it would imply that the sum of the squared differences between each data point and the mean is less than zero. However, this is not possible because squared differences are always positive or zero.
On the other hand, options a, zero, and d, less than 1, are incorrect. The variance can be zero if all the data points in the sample or population are the same, indicating no dispersion. Additionally, the variance can be any positive value, including values less than 1.
To summarize, the variance of a sample or a population cannot be negative, making option c, negative, the correct answer.
Learn more about variance:
https://brainly.com/question/15707019
#SPJ11
Which is a like radical to 3 sqrt 54 and 3 sqrt 128 when the expression are simplified?
Answer:
A.) \(3\sqrt[]{2}\)
Step-by-step explanation:
Edge 2020 assingment
Goodluck everybody!
∛2 is the radical part of both ∛54 and ∛128 when the expression are simplified.
What is Number system?A number system is defined as a system of writing to express numbers.
Let us write the prime factors of 54.
54/2 = 27
When fifty four is divided by 2 we get twenty seven.
27/3=9
Twenty seven divided by three is nine.
9/3=3
So 54 = 2 × 3 × 3 × 3
we know ∛ 3 × 3 × 3 = 3
∛54 = ∛ 3 × 3 × 3×2 = 3∛2
Hence, ∛2 is the radical part of both ∛54 and ∛128 when the expression are simplified.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ7
Choose the amount of money that is equal to 1 dollar 1 nickel.
25 nickels
21 nickels
22 nickels
23 nickels
HELLPPPP!!
So that is how it goes hope this helps
Answer: I think the answer is 25 nickels? Im sorry if I get it wrong
Step-by-step explanation:
2+2= what is the answer for it? Hint it's not a 2
The answer for 2 + 2 in the addition is determined as 4.
What is addition operation?Addition is a mathematical operation that involves combining two or more quantities or values to find their total or sum.
Addition is one of the four basic arithmetic operations, along with subtraction, multiplication, and division.
In addition operation, the two or more numbers are often added to produce result called the sum.
For example, in the equation; 2 + 2 = 4.
2 and 2 are the addends, and 4 is the sum.
We can also preform addition on fractions. decimas, percentages, etc.
Learn more about addition here: https://brainly.com/question/778086
#SPJ1
what is the 10%-90% rise time of the response? give your answer in seconds to the nearest third decimal place
The 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.
To determine the 10%-90% rise time of a response, we need to find the time it takes for the response to go from 10% of its steady-state value to 90% of its steady-state value.
Looking at the graph or response data provided, we can estimate that the steady-state value of the response is approximately 1.4.
10% of 1.4 is 0.14, and 90% of 1.4 is 1.26.
So we need to find the time it takes for the response to go from 0.14 to 1.26.
By examining the graph or data, we can see that this occurs between t = 0.9 seconds and t = 1.2 seconds.
The difference between these two times is:
1.2 - 0.9 = 0.3 seconds
Therefore, the 10%-90% rise time of the response is approximately 0.3 seconds, to the nearest third decimal place.
To learn more about decimal place visit: https://brainly.com/question/50455
#SPJ11
LOTS OF POINTS
It’s starting to get colder at night, so Sam decides to remove the goldfish from the pond in his backyard. He tries to catch the fish with a net; however, even though he can clearly see the fish in the water, he misses it. He infers that he missed because the light is being refracted. What is causing the refraction?
1: The air and the water are different colours.
2: The air and the water have different densities (and media).
3: The water is reflecting the light.
4: The air is reflecting the light.
EXPLAIN YOUR ANSWER
Answer:
Light refracts whenever it travels at an angle into a substance with a different refractive index (optical density). This change of direction is caused by a change in speed. For example, when light travels from air into water, it slows down, causing it to continue to travel at a different angle or direction. Which would make him see the fish in a spot that its not at. So 2 is the correct answer.
there is an inverse relationship between which variables that define the properties of a gas? select all the inverse relations, this is a multiple response question.
Answer: Pressure and Volume have an inverse and Temperature and Moles have an inverse relationship
Step-by-step explanation:
There is an inverse relationship between the following variables that define the properties of a gas:
1. Pressure (P) and Volume (V): According to Boyle's Law, when the temperature (T) is held constant, the product of pressure and volume remains constant for a given amount of gas. Mathematically, PV = constant. As one variable increases, the other decreases, indicating an inverse relationship.
2. Temperature (T) and Volume (V) in certain cases: In the case of Charles's Law, when the pressure is constant, the volume is directly proportional to temperature. However, if we consider a constant product of temperature and volume (TV = constant), and the pressure increases, then we observe an inverse relationship between temperature and volume.
Remember, these inverse relationships occur while keeping other variables constant. This is a multiple response question as both relationships mentioned above display an inverse relationship between different variables that define the properties of a gas.
Learn more about Boyle's Law here: brainly.com/question/30367133
#SPJ11
A soccer club had 22 members with a mean age of 19.
Then 22 new members joined. One is 17 years old, and the other is
30 years old.How did the mean age change after they joined?
Answer:
Step-by-step explanation:
number of members=22
mean age=19 years
Total age of 22 members=22×19=418 years
age of new members=17 years and 30 years
Total age of 24 members=418+17+30=465 years
mean=465÷24=19.375 years
Answer:
=19.375 years
Step-by-step explanation: