Answer:
Let's see the first two points: (-7, 5) and (-5, 9)
The line passes these points has a form of: y = Mx + b
=> 5 = (-7)M + b
9 = (-5)M + b
Subtract the 1st equation from 2nd equation, we have:
4 = 2M
=> M = 2
Substitute M back into 1st equation:
=> 5 = (-7)*2 + b
=> b = 19
=> y = 2x + 19
or y - 5 = 2x + 14
or y - 5 = 2(x + 7)
=> Option A is correct
Hope this helps!
:)
Answer:
A
Step-by-step explanation:
The difference between the values of y are constant, that is
17 - 13 = 13 - 9 = 9 - 5 = 4
This indicates the relationship is linear.
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 7, 5) and (x₂, y₂ ) = (- 5, 9) ← 2 ordered pairs from the table
m = \(\frac{9-5}{-5+7}\) = \(\frac{4}{2}\) = 2
Use any ordered pair from the table for (a, b)
Using (a, b) = (- 7, 5), then
y - 5 = 2(x - (- (- 7)) , that is
y - 5 = 2(x + 7) → A
Simplify. (−9−6i)(4−8i)
Enter your answer, in standard form, in the box.
Answer: -84+48i
Step-by-step explanation: This was correct
The solution of the given expression will be 48i - 84.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given complex expression is (−9−6i)(4−8i). The solution of the expression will be:-
E = (−9−6i)(4−8i).
E = -9 ( 4 - 8i ) -6i ( 4 -8i )
E = -36 + 72i -24i + 48(-1)
E = 48i - 84
Therefore, the solution of the given expression will be 48i - 84.
To know more about an expression follow
https://brainly.com/question/7447962
#SPJ2
Please help solve 16+x=12
Answer:
x=-4
Step-by-step explanation:
1. subtract 16 from both sides which leaves you left with
x=-4
Answer:
x=-4
Step-by-step explanation:
step by step
16 + x = 12
16 + (-16) + x = 12 (-16) =-4
x = -4
Find the perimeter of this complex figure
Answer:
38
Step-by-step explanation:
9 + 10 + 2 + 6 + (9 - 2) + (10 - 6) = 38
Xenocentrism is: Group of answer choices The opposite of cultural relativism The opposite of cultural universalism The same as cultural imperitivism The opposite of ethnocentrism
Xenocentrism is the opposite of ethnocentrism. Xenocentrism is the belief or preference for the culture, values, or products of others over one's own culture.
It stands in contrast to ethnocentrism, which involves the belief in the superiority of one's own culture. While ethnocentrism can lead to cultural bias and the dismissal of other cultures, xenocentrism appreciates and values diversity, recognizing the merits and value in different cultural perspectives and practices.
Xenocentrism involves looking beyond one's own cultural norms and standards and acknowledging the worth of alternative ideas, customs, and products from different cultures. It encourages an open-minded and inclusive approach, promoting intercultural understanding and appreciation. However, it's important to note that extreme xenocentrism, similar to extreme ethnocentrism, can lead to the negation or devaluation of one's own culture.
In summary, xenocentrism represents a mindset that embraces cultural diversity and recognizes the value in cultures other than one's own. It serves as an alternative to ethnocentrism by fostering a more inclusive and open perspective towards different cultural experiences.
To learn more about Xenocentrism click here:
brainly.com/question/8473521
#SPJ11
A one-year membership to a swim club is $170. This cost includes a $20 registration fee and 12 monthly payments. The equation 12m+20=170 can be used to find the amount m of each monthly payment. Solve the equation and interpret the solution.
The cost of a swim club membership for a year is $170. The price consists of 12 monthly payments of $20 and a $20 registration fee. From equation, the mth payment is $12.5 per month.
Finding the value m of each monthly payment can be done using the equation 12m+20=170.
To find the amount(m), solve the equation 12m+20=170.
12m=150
M = 150/12
M= $12.5
Consequently, each monthly payment will cost 12.5 in total.
Learn more about equation here
brainly.com/question/29538993
#SPJ4
Consider the calculation 2/3 × 5/8 .
Without calculating the product, explain how you know that 3/4 is not the answer.
The value of the fraction 2/3 × 5/8 isn't 3/4 because it is 10/24 and reducing to lowest term won't give 4.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers
The value of the fraction will be:
= 2/3 × 5/8
= 10/24
= 5/12
Therefore, the value isn't 3/4.
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
Write a short note on "land" (urban wastage) ?
Answer:
.
Step-by-step explanation:
In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours.For the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75.For the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73.What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us
0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16
Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.
learn more about mean click here:
https://brainly.com/question/1136789
#SPJ11
Dilation / Scale factor = 1/3 / COD = Origin
Lindsay is designing a dog pen. The original floor plan is represented by figure PQRS. Lindsay dilates the floor plan by a scale factor of 1/3 with a center of dilation at the origin to form figure P'Q'R'S'. Then she translates figure P'Q'R'S' 4units to the left and 2 units down. The final figure is P''Q''R''S''. Draw or explain Lindsay’s transformations in the coordinate plane.
Basically, I think I just need the coordinates of both P'Q'R'S' and P''Q''R''S''
The coordinates of P'Q'R'S' and P"Q"R"S" are P'(-2, 3), Q'(1, 3), R'(1, 1) ,S'(-2, 1) and P''(-6, 1), Q''(-3, 1), R''(-3, -1), S''(-6, -1).
What is dilation?A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape
The coordinates of the rectangle are P(-6,9), Q(3,9), R(3,3), and S(-6,3).
To find the coordinates of the rectangle after the dilation by a scale factor of 1/3, multiply each coordinate of the original rectangle by 1/3:
P'(-6/3, 9/3), Q'(3/3, 9/3), R'(3/3, 3/3), and S'(-6/3, 3/3)
Simplify the coordinates:
P'(-2, 3), Q'(1, 3), R'(1, 1), and S'(-2, 1)
Now, the coordinates of the rectangle P'Q'R'S' after the translation of 4 units to the left and 2 units down are:
P''(-2 - 4, 3 - 2), Q''(1-4, 3 - 2), R''(1 - 4, 1 - 2), and S''(-2 - 4, 1 - 2)
Simplify the coordinates:
P''(-6, 1), Q''(-3, 1), R''(-3, -1), and S''(-6, -1)
Hence, the coordinates of P'Q'R'S' and P"Q"R"S" are P'(-2, 3), Q'(1, 3), R'(1, 1) ,S'(-2, 1) and P''(-6, 1), Q''(-3, 1), R''(-3, -1), and S''(-6, -1).
Learn more about the dilation:
https://brainly.com/question/13176891
#SPJ1
Gianna draws a rectangle on a piece of grid paper. She wants to know the side length of each grid square. Which equation can Gianna use to find the side length, s , of one square.
Answer: the answer is 213.4
Stepby-step explanation:
First you multiply 10.8 and 19.8 then your done
Answer:
10.8 ÷ 6
1.8
Step-by-step explanation:
Evaluate 2x+5(x-8) when x = 2
Steven sells bags of different kinds of cookies. He made $27 selling bags of Oreos, $18 selling chocolate chips cookies, and $45 selling chunky sugar cookies. Each bag of cookies costs the same amount. What is the most that Steven could charge for each bag of cookies?
Answer:
9 dollars
Step-by-step explanation:
It would be 9 dollars because that is the only common factor that could go into 27, 28, or 45.
Write a system of two linear equations showing the distance each animal can
travel to model the fair race. Be sure to define all variables
Please, someone, explain this to me
We can write the following two linear equations to represent the distance each animal can travel in the race:
d1 = r1 * t
d2 = r2 * t
Let's call the distance that the first animal can travel in a certain amount of time "d1" and the distance that the second animal can travel in that same amount of time "d2". We can write the following two linear equations to represent the distance each animal can travel in the race:
d1 = r1 * t
d2 = r2 * t
where "r1" is the rate of the first animal, "r2" is the rate of the second animal, and "t" is the time that the race lasts. These two equations show how the distance each animal can travel is proportional to their rate and the time that the race lasts.
In this model, the variables are defined as follows:
d1 = distance traveled by the first animal
d2 = distance traveled by the second animal
r1 = rate of the first animal
r2 = rate of the second animal
t = time the race lasts
To learn more about linear equations:
https://brainly.com/question/29739212
#SPJ4
The probability a d-link network server is down is 0.10. if you have three independent servers, what is the probability that at least one of them is operational?
The probability that at least one of them is operational is 0.999
Probability:
Probability means the possibility of happening the particular event. So, it can be written as the fraction of possible event by the total number of event.
Given,
The probability a D-Link network server is down is 0.10.
Here we need to find if you have three independent servers, what is the probability that at least one of them is operational.
Let D be an event that a D-Link network server is down.
It is given that the probability that a D-Link network server is down is
=> P(D) = 0.10
The number of independent servers
=> (n) = 3
The probability that none of the servers is working is
=>P(None) = P(D) x P(D) x P(D)
=> P(None) = 0.10 x 0.10 x 0.10
=> P(None) = 0.001
The probability that at least one of them is operational is given as
=> 1 - P(None)
=> 1 - 0.001
=> 0.999
Therefore, the probability that at least one of them is operational is 0.999.
To know more about Probability here.
https://brainly.com/question/11234923
#SPJ4
A large population has mean 100 and standard deviation 16. What is the probability that the sample mean will be within plusminus 2 of the population mean if the sample size is n = 100? What is the probability that the sample mean will be within plusminus 2 of the population mean if the sample size is n = 400? What is the advantage of a larger sample size?
The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.
The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:
Standard Error = Standard Deviation / sqrt(sample size)
Let's determine the likelihoods for sample sizes of n = 100 and n = 400:
For n = 100:
Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6
We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:
Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error
Lower Bound z-score = (100 - 100) / 1.6
Lower Bound z-score = 0
Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error
Upper Bound z-score = (104 - 100) / 1.6
Upper Bound z-score = 4 / 1.6
Upper Bound z-score = 2.5
We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.
For n = 400:
Standard Error = 16/√400
Standard Error = 16/20
Standard Error = 0.8
We determine the z-scores by following the same procedure as above:
Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error
Lower Bound z-score = (100 - 100) / 0.8
Lower Bound z-score = 0
Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error
Upper Bound z-score = (104 - 100) / 0.8
Upper Bound z-score = 4 / 0.8
Upper Bound z-score = 5
Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.
A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.
As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.
To learn more about population mean link is here
brainly.com/question/30324262
#SPJ4
two lines that form a right angle at their point of intersection
Two lines that form a right angle at their point of intersection are perpendicular to each other.
The negative reciprocal is equal to the slope of the perpendicular lines. A transversal line is a line that is perpendicular to two parallel lines. Equal pairs of alternate angles and matching angles are created in the case of the transversal line.
When two lines intersect at a right angle, they are perpendicular to each other. The junction is referred to as the point of perpendicularity. The perpendicular lines form a 90-degree angle, and they can be used to create a coordinate system or used in geometric constructions. Such lines are called perpendicular lines.
Correct Question :
Two lines that form a right angle at their point of intersection are called what?
To learn more about perpendicular here:
https://brainly.com/question/29268451
#SPJ4
IF A= { a, b, c d and B={a,b,c,d}
how can I solve this
Answer:
what we have to prove or equation ?
a cylinder with a height of 17 centimeters and a radius of 8 centimeters is filled with water. if the water is then poured into the rectangular prism shown, will it overflow? write an argument that can be used to defend your solution.
Answer:
The volume of a cylinder is calculated by multiplying the area of the base by the height. The area of the base of a cylinder is πr², where r is the radius of the cylinder. In this case, the radius is 8 centimeters, so the area of the base is 201.06 cm². The height of the cylinder is 17 centimeters, so the volume of the cylinder is 3417.02 cm³.
The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, the length is 15 centimeters, the width is 12 centimeters, and the height is 9 centimeters. The volume of the rectangular prism is 1620 cm³.
Since the volume of the cylinder is less than the volume of the rectangular prism, the water will not overflow.
Here is an argument that can be used to defend this solution:
The volume of the cylinder is calculated by multiplying the area of the base by the height.
The area of the base of a cylinder is πr², where r is the radius of the cylinder.
In this case, the radius is 8 centimeters, so the area of the base is 201.06 cm².
The height of the cylinder is 17 centimeters, so the volume of the cylinder is 3417.02 cm³.
The volume of a rectangular prism is calculated by multiplying the length, width, and height.
In this case, the length is 15 centimeters, the width is 12 centimeters, and the height is 9 centimeters.
The volume of the rectangular prism is 1620 cm³.
Since the volume of the cylinder is less than the volume of the rectangular prism, the water will not overflow.
Step-by-step explanation:
Find the distance between A (-8, -1) and B (6, 8)
I HOPE IT WILL HELP YOU.
I HOPE YOU WILL HAVE A GREAT DAY.
The song lasts 3 minutes and 27 seconds. If Rasmus' beloved has to get home before the song is over, and rides a bike at an average speed of 15 km / h, how far away must her work be from their home?
Set up an equation that describes the problem where x is the distance between home and work.
Answer:
Kindly check explanation
Step-by-step explanation:
From the question :
Duration, time, t = 3 minutes, 27 seconds = (3 * 60) + 27 = 207 seconds
Average speed = 15 km/h = (15*1000) /3600 = 4.16666 m/s
Let distance = x
Recall:
Speed = distance / time
Distance = speed * time
x ≤ (speed * time)
x ≤ (4.16666 * 207)
x ≤ 862.5 m
x ≤ (862.5 / 1000) km
x ≤ 0.862.5 km
four runners were randomly sampled and it was determined that, in their running, they ran 23, 19, 23, and 23 miles per week, respectively. if we wish to test the claim that the population mean running time is less than 21 miles per week, what conclusion should be reached at the 1% level of significance? based upon the appropriate null and alternative hypotheses we:
Reject the claim by accepting H0.
What is null hypothesis and alternate hypothesis?
The null hypothesis and the alternative hypothesis are types of conjectures used in statistical tests, which are formal methods of reaching conclusions or making decisions on the basis of data.
Explanation for the answer:
Mean of observations, x bar \(=\frac{(23+19+23+23)}{4}=22\)
Then for each number: subtract the Mean and square the result:
\(1+9+1+1=12\)
Sample Variance:
\(\frac{12}{3} = 4\)
Sample Standard Deviation:
\(\sqrt{4} = 2\)\((\sqrt{4})^{0.5} = 1.1412\)
Standard error,
\(se = (\frac{s}{n} )^{0.5}\)
\(se = (\frac{1.1412}{4} )^{0.5}\)
\(se = 0.5341\)
Hypothesis,
\(H_0: Xbar \geq 21, against\)
\(H_1: Xbar < 21\\\) (Lower tailed test)
t-statistic:
\(t-statistic=\frac{xbar-Xbar}{se}=\frac{22-21}{0.5341}=1.8723\)
p value for 3 (=n-1) degrees of freedom = 0.039805 or 3.9805%
As p-value < 1% (level of significance), so, we reject the null hypothesis. Hence, the mean running time of runners is not significantly atleast 21 miles.
Find out more about sample mean and t-statistic:
https://brainly.com/question/28195252
#SPJ4
etta is taking notes to create a webpage about healthy eating. rq: why have childhood obesity rates tripled in the united states over the past three decades? - portion sizes have increased and calorie intake has increased 31 percent. - children now eat an average of three snacks per day (up from one per day). - children and adolescents spend an average of 7.5 hours per day watching television or on the internet. what should she add to make these notes more organized?
Etta needs to add the source of the information to better arrange these notes.
A note is a place where information about a specific item is recorded for later reference. The main goals of taking notes are to promote active learning and create study materials for tests. You should be able to organise material into an understandable format that will aid in your learning process by developing note-taking skills.
As a result, it is clear from the question that Etta is making notes for the purpose of creating a webpage about healthy eating. Once her notes have been organised with the relevant facts and information, Etta will need to cite her sources.
To learn more about note-taking: https://brainly.com/question/17184401
#SPJ4
Suppoe that ballon owner get to pay lower cot for inurance next year. How would thi affect the demand curve for balloon ride? How would thi affect the upply curve for balloon ride?
A decrease in insurance costs for balloon owners would lead to an increase in the supply of balloon rides, resulting in a rightward shift of the supply curve.
To illustrate this, imagine a graph with price on the vertical axis and quantity on the horizontal axis. Initially, the supply curve for balloon rides is upward sloping, indicating that balloon owners are willing to supply a certain quantity of rides at different prices. When insurance costs decrease, the supply curve shifts to the right, indicating that balloon owners are now willing to supply a greater quantity of rides at each price level.
On the other hand, the decrease in insurance costs would not directly affect the demand curve for balloon rides. The demand curve represents the preferences and purchasing power of consumers. Unless there is a change in consumer preferences or incomes, the decrease in insurance costs does not impact the quantity of balloon rides that consumers are willing and able to purchase at different prices. Therefore, the demand curve for balloon rides would remain unchanged.
To know more about supply curve here
https://brainly.com/question/14925184
#SPJ4
What is a definition of Domain of a function in math?
Create your own unit rate example in which you have to determine the unit rate of two fractions with different units. Explain what the two fractions are, write the scenario, and calculate the unit rate. Do not forget your units and remember to show your work!
Manav can cover 1 mile of the distance in just 12 minutes.
How to calculate the unit rate?The unit rate can be expressed in any unit for instance minute per mile, miles/hour, etc
if Manav covers 3 miles in 36 minutes, her unit rate in minutes per mile is expressed as:
Unit rate = 36min/3miles
Unit rate = 12 minutes/mile
Here,
This shows that Manav can cover 1 mile of the distance in just 12 minutes.
Learn more on unit rate here:
brainly.com/question/2375289
#SPJ1
This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample. simple random sample stratified random sample cluster random sample Voluntary random sample
The correct sampling method described in the question is a stratified random sample among the simple random sample, stratified random sample, cluster random sample and Voluntary random sample
The sampling method described in the question is a stratified random sample.
In a stratified random sample, the population is divided into subgroups or strata based on certain characteristics or criteria. Then, a random sample is selected from each stratum. The key idea behind this method is to ensure that each subgroup is represented in the sample proportionally to its size or importance in the population. This helps to provide a more accurate representation of the entire population.
In the given sampling method, the population is divided into subgroups, and a fixed number of units is taken from each group. This aligns with the process of a stratified random sample. The sample selection is random within each subgroup, but the number of units taken from each group is fixed.
Other sampling methods mentioned in the question are:
Simple random sample: In a simple random sample, each unit in the population has an equal chance of being selected. This method does not involve dividing the population into subgroups.
Cluster random sample: In a cluster random sample, the population is divided into clusters or groups, and a random selection of clusters is included in the sample. Within the selected clusters, all units are included in the sample.
Voluntary random sample: In a voluntary random sample, individuals self-select to participate in the sample. This method can introduce bias as those who choose to participate may have different characteristics than those who do not.
Therefore, the correct sampling method described in the question is a stratified random sample.
Learn more about sampling methods here:
https://brainly.com/question/15604044
#SPJ4
FIND THE VOLUME OF EACH 3D FIGURE.
Here is an explanation to understand step by step how to do this.
A volume can be determined for any three-dimensional object using formulas that are unique to that item's shape. For instance, the volume of a water bottle indicates how much water it can hold. Understanding an object's volume is crucial since it indicates how much stuff that shape can carry.
Any form or object's volume is directly inversely proportional to the volume of water it displaces when submerged in water because of its link to density. As a result, there are two ways to determine an object's volume: by mathematically calculating it using the formula unique to that shape, or by submerging it in water and measuring the volumetric displacement of the water.
Help please this is so hard
Answer:
It should be answer B
Step-by-step explanation:
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the trip. Each small car can hold 4 people and each large car can hold 6 people. The students rented 3 more large cars than small cars, which altogether can hold 58 people. Determine the number of small cars rented and the number of large cars rented.
Answer:
4 small cars
7 large cars
Step-by-step explanation:
To determine the number of small cars rented and the number of large cars rented by the group of college students, we can set up and solve a system of equations.
Let x be the number of small cars.
Let y be the number of large cars.
If the students rented 3 more large cars than small cars, then:
\(y = x + 3\)
Given each small car can hold 4 people, each large car can hold 6 people, and the total number of people that the rented cars could hold is 58, then:
\(4x + 6y = 58\)
Therefore, the system of equations is:
\(\begin{cases} y = x + 3\\4x + 6y = 58\end{cases}\)
To solve the system of equations, substitute the first equation into the second equation and solve for x:
\(\begin{aligned}4x+6(x+3)&=58\\4x+6x+18&=58\\10x+18&=58\\10x&=40\\x&=4\end{aligned}\)
Substitute the found value of x into the first equation and solve for y:
\(y=4+3\)
\(y=7\)
Therefore, the number of cars rented was:
4 small cars7 large carsA lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts. Prices for 100 rats follow the following distribution: Price: $10.00 $12.50 $15.00 Probability: 0.35 0.40 0.25 How much should the lab budget for next year's rat orders be, assuming this distribution does not change
The lab should budget for the next year's rat orders be $63,700.00.
The lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.
The prices for 100 rats follow the given distribution:
Price ($): 10.00, 12.50 , 15.00
Probability: 0.35 0.40 0.25
Mean price per 100 rats can be calculated using the expected value formula,
μx = ∑ [ xi × P(xi) ]
where
μx = mean value,
xi = price,
P(xi) = probability of xi
Mean price per 100 rats:
μx = (10.00 × 0.35) + (12.50 × 0.40) + (15.00 × 0.25)
μx = 3.50 + 5.00 + 3.75
μx = $12.25
The mean price per 100 rats is $12.25.
Hence, the cost of 100 rats is $12.25.
Therefore, the lab should budget for the next year's rat orders:
$12.25 × 100 × 52
= $63,700.00
The lab should budget for the next year's rat orders be $63,700.00.
To know more about budget visit:
https://brainly.com/question/31952035
#SPJ11