Yes, the given expressions are equivalent.
What is the equivalent expression?
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
We have,
9(4 - x)
and 36 - 9x
Are these equivalent expressions?
9(4 - x) = 36 - 9x
36 - 9x = 36 - 9x
So, LHS = RHS = 36 - 9x
Therefore, the expression 9(4 - x) and 36 - 9x are equivalent expressions.
Hence, yes the given expressions are equivalent.
To learn more about the equivalent expression visit,
https://brainly.com/question/24734894
#SPJ1
a single-bay car wash with a poisson arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes. what is the system utilization?
System utilization is 0.26 or 20%
What is System Utilization?
System utilization is the action of using something, i.e., making practical and effective use of it. Put simply; the term refers to the use of something or the process of using it effectively. In the supply chain industry, utilization may also refer to the percentage of available time that a machine, device, warehouse, or employee is actively is working.
We can also use the term for a fraction of the available time that a system is operating.
In a warehouse, space is essential, so warehouse space utilization measures the efficiency with which the warehouse uses its inventory storage capacity. Low values for this KPI may suggest that the warehouse is too large, inventory is being stored in improper places, demand forecasting is not accurate or that inventory replenishment processes are slow.
given that:
a single-bay car wash with a poission arrival rate and an exponential service time has cars arriving at an average of 8 minutes apart with an average service time of 4 minutes
System utilization(ρ) = λ(arrival rate)/μ(service rate)
arriving rate = 8min ⇒ λ = 4/hr
service rate = 4min ⇒ μ = 15/hr
System utilization(ρ) = λ/μ
System utilization(ρ) = 4/15 = 0.26
System utilization is 0.26 or 20%
To learn more about System utilization:
https://brainly.com/question/3420074
#SPJ4
the frequency format hypothesis suggests that people are better able to work with information presented as frequencies than presented as probabilities. why might this be the case? multiple choice question human brains evolved to notice how often things occur, not how likely they are to occur. probability calculation is a more difficult cognitive task because it necessarily involves the manipulation of symbols. human brains evolved to process frequencies in the left hemisphere and probabilities in the right hemisphere. human brains evolved to process frequencies explicitly and probabilities implicitly.
Thus , option a)human brains evolved to notice how often things occur, not how likely they are to occur is correct
What does probability mean as a process?Probability theory deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is expressed as a number between 0 and 1, with 1 typically signifying certainty and 0 typically signifying impossibility.
Here,
According to the hypothesis of the frequency format, humans may process information more effectively when it is given as frequencies rather than probabilities. Possibly, this is the reason
Because human brains have evolved to perceive frequency rather than likelihood of events.
Thus , option a)human brains evolved to notice how often things occur, not how likely they are to occur is correct.
To know more about probability , visit
brainly.com/question/11234923
#SPJ4
Jimmy eats 116 apples in 88 days each how many did jimmy eat
116x88
Answer:
10208
Step-by-step explanation:
116x88=10208
In any solution, the part in the greatest quantity or volume is called the ___________.
The solvent is the defined as a part of the solution that is in the greater quantity, and the solute is the smaller portion of the solution.
The part broken up in a liquid to frame an answer is known as a solute. The solute fixation is a game changer in deciding if the arrangement is strong, fluid, or vaporous.
A solvent is normally a fluid that is utilized to break up a solute. A fluid breaks down different parts to produce an answer. Presently, particle creation is leaned toward by polar solvents like water yet not by nonpolar solvents like hydrocarbons. Water is a genuine illustration of a dissolvable.
The contrast among solute and dissolvable can be resolved in light of their definition, actual appearance (fundamentally a condition of issue:- strong, fluid, or gas structure), dissolvability, and limit.
To know more about solute, solvent, visit here:
https://brainly.com/question/14797683
#SPJ4
(Complete question) is:
The __________ is defined as the part of the solution that is in the greater quantity, and the __________ is the smaller portion of the solution.
Giovanni's family owns an Italian restaurant that sells pizzas and calzones for lunch. The table shows
the restaurant's lunch sales for a weekend.
Day
Saturday
Sunday
How much does 1 calzone cost?
$8.75
O$9.61
$10.25
Number of Pizzas
16
20
$10.90
Number of Calzones
12
8
Đ
Total Amount Sold
$269
$275
The cost of one calzone given the information in the table is $8.75 (first option).
What is the cost of one calzone?The first step is to form a system of equation to represent the information in the question:
16p + 12c = 269 equation 1
20p + 8c = 275 equation 2
Where:
p =cost of pizzas bought
c = cost of calzones bought
The elimination method would be used to determine the cost of one calzone.
Multiply equation 1 by 5 and equation 2 by 4
80p + 60c = 1345 equation 3
80p + 32c = 1100 equation 4
Subtract equation 4 from equation 3
28c = 245
Divide both sides of the equation by 28
c = 245 / 28
c = $8.75
To learn more about system of equations, please check: https://brainly.com/question/25875552
#SPJ1
19. Use a unit multiplier to convert 965 centimeters to meters.
Answer: 965cm =9.65 meters
Step-by-step explanation:
The music club is selling tickets for an upcoming performance. They are also accepting donations. The table below shows the ticket sales and donations from the past 2 weeks. In each expression, t represents the price of a ticket to the show.
The answer to this Question based on donations is 40 and 85
What is a donation?
Giving things to poor and needy people is called donating things and this word thing can contain anything from money to household things etc
Here music club has made ticket sales and donations are collected but both are different amounts for 2 weeks
hence we can add them to get total expense
On adding ticket sales and donations for 2 weeks we get 23t + 50 + 17t + 35
= 40t + 85 where t represents price for one ticket
Hence our answer is just coefficients that are 40 and 85 respetively
To learn more about donation:
https://brainly.com/question/28838440
#SPJ1
Evaluate the expression for the given value of the variables.
0.7g - 2.7h
g= 17, h =2
The value of the expression 0.7g - 2.7h at g = 17 and h = 2 is 6.5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A numerical expression 0.7g - 2.7h.
Now, The values of the expression at g = 17 and h = 2 can be obtained if we replace these numerical values of g and h.
∴ 0.7g - 2.7h.
= 0.7(17) - 2.7(2).
= 11.9 - 5.4.
= 6.5
learn more about numerical expressions here :
https://brainly.com/question/29199574
#SPJ1
what percentage of women in the united states work and have a child under 6 years of age?
77.2 percent of mothers with children under age 6 work in the United states.
Mothers are less likely to work when their children are young than when they are older: In 2019, women with children under the age of six had a labor force participation rate of 66.4%, while those with children aged six to seventeen had a rate of 76.8%.
Among mothers with children under the age of three, married mothers were less involved than mothers of other marital situations — 62% versus 66%.
Working women confront child care challenges: According to a Center for American Progress poll, half of American families reported trouble getting child care.
Based on the amount of time and resources based on the amount of time based on the amount of time based on the length of time based on the length of time based on the length of time based on the duration of time based on the amount of time.
More over two-thirds of homemakers indicated they would "search for employment" if they could find more affordable child care. One-third of part-time parents stated they would work more hours if child care was available.
To learn more about percent visit:
brainly.com/question/29085726
#SPJ4
Anna says that the graphs of y=-3x + 7 and y = 3x - 7 are parallel lines. Do you agree?
Explain.
Answer: No
Step-by-step explanation:
Parallel lines have the same slope. However, the slopes of the lines with the given equations are -3 and 3, respectively.
Since the slopes are not the same, the lines are not parallel.
What was the Catholic Church's response to the Protestant Reformation?
They held a series of meetings to clarify the teachings of the Catholic Church
War between the Catholic Church and the Italian states
They accepted the viewpoints of other religious leaders
They encouraged more people to challenge the rulings of the Pope
Answer:The Council of Trent
Step-by-step: explanationwas the formal Roman Catholic reply to the doctrinal challenges of the Protestant Reformation. It served to define Catholic doctrine and made sweeping decrees on self-reform, helping to revitalize the Roman Catholic Church in the face of Protestant expansion.
:
factorise this expression as fully as possible:
4x²+x³
Answer:
x²(4+x)
Step-by-step explanation:
4x²+x³
Both of these terms have a common factor of x² :
x²(4+x)
This is our final answer
Hope this helped and have a good day
Write the equation of the line in fully simplified slope-intercept form.
11
1998 6543 N
10
2
1
-12-11-10-9-8-7-6-5-4-3-2-11
~
-2
3
-4
-6
-9
-10
-11
-12
1 2 3 4 5 6 7 8 9 10 11 12
Answer:
Step-by-step explanation:
o find the vertex of f(x)=x2−8x+7 , there are several things you can do. You could complete the square to get the equation into vertex ...
What is the volume of the sphere shown below?
--12-
A.1
B.
C.
D.
192 units3
576 units3
2304 units3
6912 units3
Volume of the sphere V is 2304π units³ when in the picture we have a sphere with radius 12 cm.
Given that,
In the picture we have a sphere with radius 12 cm.
We have to find what is the volume of the sphere of the picture.
We know that,
The volume of the sphere formula is V = 4/3πr³.
Here,
π is 3.14
r is 12
Volume of the sphere V = 4/3πr³
Volume of the sphere V = 4/3(π)(12)³
Volume of the sphere V = 4/3(π)(1728)
Volume of the sphere V = 2304π
Therefore, Volume of the sphere V is 2304π units³ when in the picture we have a sphere with radius 12 cm.
To learn more about sphere visit: https://brainly.com/question/9994313
#SPJ1
I ONLY HAVE 30 MINUTES BEFORE I'M DEAD Question 8 (3 points)
(08.07 MC)
67,124 x three fourths = ________. Will the product of this equation be less than or greater than 67,124? Explain your reasoning. (3 points)
Your answer:
Question 9 (3 points)
(08.07 MC)
12,400 x one and one fifth = ________. Will the product of this equation be less than or greater than 12,400? Explain your reasoning. (3 points)
Your answer:
The product is less than 67,124 because the number 50,343 is less that the number 67,124.
The product is greater than 12,400 because the number 14,800 is greater than 12,400.
What is product?
A mathematical expression that specifies the objects to be multiplied, known as a factor, produces a product. For instance, the product of x and is c dot, and the product of 6 and 5 is 30.
First to multiply 67124 x 3/4
Here 67124 x 3 = 201372
⇒201372/4 = 50343
Hence, the product is less than 67,124 because the number 50,343 is less that the number 67,124.
Now to multiply 12,400 x 1 1/5
First to convert [tex]1\frac{1}{5}[/tex] into a fraction.
[tex]1\frac{1}{5} = \frac{5+1}{5} = \frac{6}{5}[/tex]
Now,
12,400 x 6/5 = 74,400/5 = 14800
Hence, the product is greater than 12,400 because the number 14,800 is greater than 12,400.
To know more about product, click on the link
https://brainly.com/question/10873737
#SPJ1
The area of Circle X is what percent of the area of Circle Y
A.16%
B.278%
C400%
D.900%
E.1400%
Answer: B. 278%
Step-by-step explanation:
The area of the circle formula is area = pi times r^2
Let's find the area of Circle X.
3.14 times 5^2 = 78.5
Let's find the area of Circle Y
3.14 times 3^2 = 28.26
Now take 78.5 divided by 28.26, then times 100% = 277.7% or ground up to 278%
So the answer is B. 278%
Ms. Armstrong is a carpenter. She keeps her tools in a cube-shaped box in her truck. Ms. Armstrong's toolbox is 15 inches long on each side. What is the volume of her toolbox?.
The volume of Ms. Armstrong's toolbox is 3,375 cm³.
Cube: A cube is a three-dimensional object with six square faces that are equal. Each of the six square faces of the cube has the same dimensions.
The total number of cubic units that a cube occupies in a three-dimensional space is its volume. A cube is a three-dimensional shape with eight vertices, twelve edges, and six faces. As a result, the space enclosed by a cube's six faces is its volume.
mathematically,
Volume = side³
because Armstrong has a 15-inch toolbox side.
Volume = 15³
Volume = 3,375
hence, Ms. Armstrong's toolbox has a volume of 3,375 cm3.
To learn more about cubes visit: https://brainly.com/question/14075440
#SPJ4
please answer!!!!!!!!!!!
Answer:
- 1/2 × 8 = -4
-1/2 × -2 = 1
- 1/2 × 6/7 = - 3/7
B. -4 + 1 - 3/7x
D. -3-3/7x
Find the standard deviation given the following data set: 3, 5, 6, 6, 9, 1
By using the formula of standard deviation, it can be calculated that
Standard deviation = 2.52
What is standard deviation?
At first it is important to know about variance.
Variance is the sum of the square of deviation from mean divided by the number of observations
Square root of variance gives standard deviation.
Here the data set is
3, 5, 6, 6, 9, 1
Mean = [tex]\frac{3 + 5 + 6 + 6 + 9 + 1}{6} = \frac{30}{6}[/tex] = 5
Variance = [tex]\frac{(3 - 5)^2 + (5 - 5)^2+(6 - 5)^2 + (6 - 5)^2 + (9 - 5)^2 + (1 - 5)^2}{6}[/tex]
= [tex]\frac{4 + 0 +1+1+16+16}{6}[/tex]
= [tex]\frac{38}{6}[/tex]
= 6.33
Standard deviation = [tex]\sqrt{6.33}[/tex]
= 2.52
To learn more about standard deviation, refer to the link-
https://brainly.com/question/475676
#SPJ1
2100 dollars is placed in an account with an annual interest rate of 6%. To the nearest tenth of a year, how long will it take for the account value to reach 9400 dollars.
It will take 57.9 years for the account value to reach 9400 dollars.
What does the term "simple interest" mean?
Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued.
The fact that
The equation for simple interest is:
A = P(1+rt)
where
The final investment value is A.
P is the initial investment's principal.
The interest rate is r.
There are t time periods.
We have a problem with this.
t = ?
P = $2100
A = $9400
r = 6% = 6/100 = 0.06
In the formula above, substitute
9400 = 2100 (1+t[0.06])
1 + 0.06t = 94/21
t = 94 - 21 / 21 * 0.06
t = 73/1.26
t = 57.9 years
Learn more about simple interest
https://brainly.com/question/25793394
#SPJ1
country x can produce 1,000 units of food and 2,000 units of clothes. country y can produce 1,000 units of food and 1,000 units of clothes. in order to maximize trade according to the principles of comparative advantage,
In order to maximize trade according to the principles of comparative advantage, the option most suitable from the following is
country Y should produce food and import clothes from country X.
What do you mean by statistics?The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.
What are the 4 basic elements of statistics?The four components of a descriptive statistics problem are sample size, necessary variables, numerical summary tools, and conclusions.
What are the 5 main statistics?The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values. Minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value are all listed together in this sequence.
From the above explanation we get to know
the solution to the above question is B
country Y should produce food and import clothes from country X.
To learn more about statistics click the following link:-
https://brainly.com/question/15525560
#SPJ4
Which expression is equivalent to 2. 3 raised to the fifth power divided by 0. 9 raised to the fourth power, all raised to the third power?.
The equivalent expression is 2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power.
What analogous expressions are there?
Expressions that perform the same operations but differ in appearance are said to be equivalent.
There is the phrase;
{ (2. 3)^5/ (0. 9)^4 }^3
multiply by the denominator's inverse power.
(2. 3^5 × 0. 9^-4)^3
broaden the bracket
2.3 × 0. 9 ^5 +(-4) (-4)
{2.3 × 0. 9 ^ 1}^3
The phrase can be written as follows:
{ (2. 3)^5× 3/ (0. 9)^4× 3}
{ (2. 3)^15/ (0. 9)^4 }^12
Thus, 2.3 raised to the fifteenth power divided by 0.9 raised to the twelfth power is the equivalent formula.
Learn more about equivalent expressions here:
brainly.com/question/24734894
#SPJ4
Using the Distributive Property, Solve the Problem below:
-2.5(4x - 4) = -6
(After using the Distributive Property, Solve for x)
The value of x in the expression -2.5(4x - 4) = - 6 is 4/3.
What are the basic properties of arithmetic laws of operations?There are three types of basic arithmetic laws of operation.
Commutative law for addition and multiplication states,
a + b = b + a.
a×b = b×a.
Distributive law states,
a(b ± c) = ab ± ac.
Associative law states,
a + (b + c) = (a + b) + c.
Given, -2.5(4x - 4) = - 6.
∴ - 2.5(4x) - 2.5(-4) = - 5.
- 12x + 10 = - 6.
- 12x = - 16.
12x = 16.
x = 16/12.
x = 4/3.
learn more about distribute property here :
https://brainly.com/question/5637942
#SPJ1
suppose we draw one card from a standard deck. what is the probability that we get a queen or a king?
Answer: 2/13
Step-by-step explanation:
There are 4 queen (Q) & 4 king (K) cards in a standard deck of 52 cards . Therefore,required probability of drawing a queen or a king = P(QUK) = P(Q) + P(K) = 4/52 + 4/52 = 2/13 .
How do i solve this? A quadratic function has the solution \displaystyle x=3\pm2ix=3±2i . The function can be written in standard form as \displaystyle y=ax^{2}+bx+cy=ax
2
+bx+c . What are the values of a, b, and c?
The values of a, b and c if the root x = 3 ± 2i are 1, -6 and 13
How to determine the values of a, b and c?From the question, we have the following parameters that can be used in our computation:
x=3\pm2ix=3±2i
y = ax2 +bx+c
Rewrite the above expressions properly
So, we have the following representation
x = 3 ± 2i
y = ax² + bx + c
This means that
x₁ = 3 + 2i
x₂ = 3 - 2i
The quadratic equation is then calculated as
y = (x - x₁) * (x - x₂)
Substitute the known values in the above equation, so, we have the following representation
y = (x - (3 + 2i)) * (x - (3 - 2i))
This gives
y = ((x - 3) + 2i) * ((x - 3 - 2i)
Apply the difference of two squares
y = (x - 3)² + 4
Expand the bracket
y = x² - 6x + 9 + 4
Evaluate
y = x² - 6x + 13
Hence, the values of a, b and c are 1, -6 and 13
Read more about quadratic equations at
https://brainly.com/question/1214333
#SPJ1
which of the following is an example of stratified sampling? in order to assess students' satisfaction with the food establishment on campus, the first 50 students who came out of the student center were interviewed. the human resources department of a large bank wanted to assess the job satisfaction of the bank's workers. the department chose four of the bank's branches at random and used all of the workers in those four branches as the subjects for the study. a sample of 351 people called a radio show to express their opinions about the verdict in a murder trial. a health educator wanted to study the sleeping habits of the undergraduate students in her university. for her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors) for a total of 600 sampled students. a poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.
The example of stratified sampling is a health educator wanted to study the sleeping habits of the undergraduate students in her study.
For her study, the researcher chose a simple random sample of size 150 from each of the classes (150 freshmen, 150 sophomores, 150 juniors, and 150 seniors) for a total of 600 sampled students. a poll asked a random sample of 1,112 adults whether they believe that the use of marijuana for medical reasons should be legalized.
Sampling:
In statistics, quality assurance, and research methodologies, sampling is the selection of a subset of individuals (statistical sample) from a statistical population in order to estimate characteristics of the population as a whole. A statistician tries to collect a representative sample of the population in question. Sampling is less costly than measuring the entire population, provides faster data collection, and can provide insight when the entire population cannot be measured.
Stratified Sampling:
When the population embraces a number of distinct categories, the frame can be organized by these categories into separate "strata." Each stratum is then sampled as an independent sub-population, out of which individual elements can be randomly selected. The ratio of the size of this random selection (or sample) to the size of the population is called a sampling fraction. There are several potential benefits to stratified sampling.
There are, however, some potential drawbacks to using stratified sampling.
First, identifying strata and implementing such an approach can increase the cost and complexity of sample selection, as well as leading to increased complexity of population estimates.
Second, when examining multiple criteria, stratifying variables may be related to some, but not to others, further complicating the design, and potentially reducing the utility of the strata.
Finally, in some cases (such as designs with a large number of strata, or those with a specified minimum sample size per group), stratified sampling can potentially require a larger sample than would other methods (although in most cases, the required sample size would be no larger than would be required for simple random sampling).
Learn more about Stratified Sampling:
https://brainly.com/question/20544692
#SPJ4
when adding fractions with like denominators it is important for students to focus on which key idea?
the only factor that someone has to focus that unit is the same.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.A fraction in mathematics is a number that is stated as a percentage, such as 1/2 or 2/3. The bottom number indicates all of the components that make up a single unit.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
when adding fractions with like denominators it is important for students to focus on which key idea that
Units are the same.
Hence the only factor that someone has to focus that unit is the same.
Learn more about Fraction, by the following link.
https://brainly.com/question/17220365
#SPJ4
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges aisha bought? x + y = 15. 0. 5 x + 0. 65 y = 9. 00 x = y. 0. 5 x + 0. 65 y = 9. 00 x + y = 9. 0. 5 x + 0. 65 y = 15. 00 x = y. 0. 5 x + 0. 65 y = 15. 0.
The system of equation to calculate the number of apples and oranges is given by x + y = 15 and 0.5x + 0.65y = 9 .
The number of apples is x and the number of oranges is y .
Total number of fruits bought is 15.
Hence we can write the equation for the number of fruits as:
x + y = 15
This is our first equation of the system.
Now each apple costs $ 0.5 , cost of x apples = 0.5x
Now each orange costs $0.65 , cost of y apples = 0.65y
Total cost is 9 apples.
Hence total cost can be represented by 0.5x + 0.65y = 9
Therefore the system of equations to represent the above situation is given by:
x + y = 15
0.5x + 0.65y = 9 .
A system of equations, often known as a set of simultaneous equations or an equation system, is a finite type of linear problem for which common solutions have been identified.
A system of equations can be classified similarly to a single equation. In everyday life, equation systems are utilised to model problems when the unknown values can be represented as variables.
To learn more about system of equations visit:
https://brainly.com/question/21620502
#SPJ4
In the diagram, rectangle ABCD is split in half by AC. What is the value of tan x?
A. 3/4
B. 4/5
C. 3/5
D. 5/4
E. 4/3
Answer:
E
Step-by-step explanation:
Since rectangle have 90 degree angles, Angle D is a 90 degree angle.
Side CD is 3
AD is 4
We found both of those using the definition of rectangle.
[tex] \tan(x) = \frac{opp}{adj} [/tex]
[tex] \tan(x) = \frac{4}{3} [/tex]
E is correct
What is square example?
A square is any 2-dimensional shape that has all 4 sides equal and opposite sides parallel.
A square is typically identified when we see any shape which has 4 sides. These sides are equal to one another. The opposite sides are parallel. Another very important feature to be noted is that a square makes an angle of 90° with its adjacent sides.
If the angles are not 90°, then the shape is a rhombus and not a square.
A perfect example of a square is the game board of ludo. That is a perfect square. Another example is a handkerchief.
To know more about squares visit
https://brainly.com/question/28776767
#SPJ4