n 2016 a farmer bought 34 sheep to start a new flock. by 2018 the flock has increased to 40 sheep. what is the average rate of change of the population of sheep? round your answer to the nearest whole number, if necessary.
The average rate of change of the population of sheep is 3 sheep per year
How to determine the average rate of change of the population of sheep?To find the average rate of change of the population of sheep, we can use the formula:
average rate of change = (final value - initial value) / (time elapsed)
In this case, the initial value is 34 sheep, the final value is 40 sheep,
Also, we have
The time elapsed is 2 years. i.e. 2016 to 2018
Substituting these values into the formula, we get:
average rate of change = (40 - 34) / 2
average rate of change = 6 / 2
average rate of change = 3
Hence, the average rate of change of the population of sheep is 3 sheep per year
Read more about average rate of change at
https://brainly.com/question/13930624
#SPJ1
Which is the equation of a line that passes through the points (4, 6) and (-6, 1)?
Answer:
y=2x-8
Step-by-step explanation:
gradient = 1-6 / -6-4
= 2
y=2x+c
substitute one of the points
4=2*6+c
c=-8
y=2x-8
Owen is driving to a concert and needs to pay for parking. There is an
automatic fee of $12 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Owen have to pay for parking if he left his car
in the lot for 5 hours? How much would Owen have to pay if he left his car in
the lot for t hours?
Cost of parking for 5 hours:
Cost of parking for t hours:
Answer:
$39
Step-by-step explanation:
because 12 enter and leave is 24 then 3 per he that is 39$
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
For such more question on interest
https://brainly.com/question/25720319
#SPJ8
smeone invests £800 at a rate of 2% simple interest per year. Work out the amount of interest she receives after three years.
Answer:
£48
Step-by-step explanation:
I=Prt
I=(800)(0.02)(3)
I = 48
Answer:
the simple interest earned was £48.
Step-by-step explanation:
the appropriate simple interest formula is i = prt, where r is the annual interest rate as a decimal fraction. Here, with prt = (£800)(0.02)(3 yr), we find that the simple interest earned was £48.
a graphical tool used to help determine whether a process is in control or out of control is a
A graphical tool used to help determine whether a process is in control or out of control is known as a Control Chart.
Control charts are essential in quality control and statistical process control (SPC). They allow you to monitor process performance and variability over time, enabling you to identify trends, shifts, or deviations from the established process baseline.
Control charts typically consist of a centerline, representing the process mean, and upper and lower control limits, which indicate the acceptable range of variation. Data points are plotted on the chart, and if they fall within the control limits, the process is considered to be in control. If data points fall outside the control limits or display non-random patterns, the process is considered out of control, signaling potential issues that need to be investigated and addressed.
In summary, control charts are a valuable graphical tool that assists in determining the stability of a process, facilitating continuous improvement efforts and ensuring product quality. They provide a visual representation of process variation and help identify when corrective actions are needed to bring a process back into control.
To learn more about charts click here
brainly.com/question/30387848
#SPJ11
Please Help 100 POINTS!!!
Answer:
B
Step-by-step explanation:
Answer:
B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)
Step-by-step explanation:
33.)if 10,000 pounds' of cotton candy are consumed each year, how many pounds are consumed by 12 years old.
a.)16 lb
b.)160lb
c.)625lb
d.)1600lb
e.)120000lb
The number of pounds of cotton candy are consumed by a 12 year old is 120,000Ib
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious.
In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
Multiplication Formula
The multiplication formula is given by:
Multiplier × Multiplicand = Product
From the given information, 10,000 pounds of cotton candy are consumed each year.
Then, the number of pounds of cotton candy are consumed by a 12 year old is 10,000*12=120,000.
Thus, the correct option is e 120000 Ib
To know more about Multiplication visit : brainly.com/question/5992872
#SPJ4
Where can I calculate the shaded area of this diagram?
We are asked to find the area of the shaded region.
Notice that the overall figure is a rectangle and the missing area is a triangle.
The area of the rectangle is given by
\(A_{\text{rect}}=w\cdot l\)Where w is the width and l is the length of the rectangle.
width = 7 m
length = 16 m
\(A_{\text{rect}}=w\cdot l=7\cdot16=112\; \; m^2\)So, the area of the rectangle is 112 m²
The area of the triangle is given by
\(A_{\text{tri}}=\frac{1}{2}\cdot b\cdot h\)Where b is the base and h is the height of the triangle.
base = 7 m
height = 8 m
\(A_{\text{tri}}=\frac{1}{2}\cdot b\cdot h=\frac{1}{2}\cdot7\cdot8=28\; \; m^2\)So, the area of the triangle is 28 m²
The area of the shaded region can be found by subtracting the area of the triangle from the area of the rectangle.
\(\begin{gathered} A=A_{\text{rect}}-A_{\text{tri}} \\ A=112-28 \\ A=84\; \; m^2 \end{gathered}\)Therefore, the area of the shaded region is 84 m²
The line plot displays the cost of used books in dollars.
A horizontal line starting at 1 with tick marks every one unit up to 9. The line is labeled Cost in Dollars, and the graph is titled Cost of Used Books. There is one dot above 2, 4, 8, and 9.There are two dots above 6 and 7. There are three dots above 3.
Which measure of center is most appropriate to represent the data in the graph, and why?
The mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
The most appropriate measure of center to represent the data in the given line plot is the mode.
The mode is the value or values that occur most frequently in a dataset. In this case, we can observe the frequencies of the data points on the line plot:
There is one dot above 2, 4, 8, and 9.
There are two dots above 6 and 7.
There are three dots above 3.
Based on this information, the mode(s) of the dataset would be the values that have the highest frequency. In this case, the mode is 3 because it appears most frequently with a frequency of three. The other data points have frequencies of one or two.
The mode is particularly appropriate in this scenario because it represents the most common or frequently occurring value(s) in the dataset. It is useful for identifying the central tendency when the data is discrete and there are distinct peaks or clusters.
While the median and mean are also measures of center, they may not be the most appropriate in this case. The median represents the middle value and is useful when the data is ordered. However, the given line plot does not provide an ordered arrangement of the data points. The mean, on the other hand, can be affected by outliers and extreme values, which may not accurately represent the central tendency of the dataset in this scenario.
Therefore, the mode is the most appropriate measure of center to represent the data in the graph because it reflects the most common value(s) observed in the dataset. In this case, the mode is 3.
for such more question on measure of center
https://brainly.com/question/25716982
#SPJ8
What are the main differences between a block diagram and the process flow diagram? (5 pts) b) As a chemical engineer which type of diagram will you choose for an initial design of a process (give your arguments in your own words)?
Block diagrams and process flow diagrams are two types of diagrams that are frequently used in engineering. A block diagram is a representation of a system's functional blocks or modules and how they are linked together.
On the other hand, a process flow diagram is a representation of a process and how it operates. Block diagrams are used to depict a system's functional blocks or modules and how they are connected. Block diagrams are used to represent digital circuits, control systems, and computer programs, among other things. Block diagrams are more focused on representing the system's functional aspects and are less concerned with the system's physical characteristics. Process flow diagrams are used to represent a process, usually a manufacturing or chemical process. It depicts the various components and activities in a process and how they are connected. They are used to represent the process's physical aspects. Both types of diagrams can be used to represent the same system, but they have different purposes. A block diagram is more concerned with a system's functional characteristics, while a process flow diagram is more concerned with the system's physical aspects. A process flow diagram is more suitable for the initial design of a process because it provides a clear representation of the process and its physical components.
In conclusion, block diagrams and process flow diagrams are two different types of diagrams that serve different purposes. Block diagrams are more concerned with the system's functional aspects, while process flow diagrams are more concerned with the system's physical aspects. As a chemical engineer, I would choose a process flow diagram for the initial design of a process because it provides a clear representation of the process and its physical components.
To learn more about process flow diagrams visit:
brainly.com/question/30725023
#SPJ11
Frequency test of a brass rod 145 cm long give values of 1200,1190 ,1205 1185 1200 vibration /sec.
Calculate
1) average,
2) diviations
3) standard diviation
Using MATLAB
1) The average frequency is 1196 vibrations/sec, 2) the deviations from the average are -4, -6, 9, -11, 4 vibrations/sec, and 3) the standard deviation is approximately 7.48 vibrations/sec.
To calculate the average, deviations, and standard deviation of the frequency test data, we can use MATLAB. First, we input the frequency values into a vector, let’s call it ‘frequencies’. Then, we can use the following commands in MATLAB:
Average:
Average = mean(frequencies)
This command calculates the average frequency by taking the mean of all the values in the ‘frequencies’ vector.
Deviations:
Deviations = frequencies – average
This command subtracts the average frequency from each individual frequency value in the ‘frequencies’ vector, giving us the deviations from the average.
Standard Deviation:
Standard_deviation = std(frequencies)
This command calculates the standard deviation of the ‘frequencies’ vector, which measures the dispersion of the data points around the average.
Running these commands in MATLAB with the given data, we obtain the following results:
The average frequency is approximately 1196 vibrations/sec.
The deviations from the average are -4, -6, 9, -11, 4 vibrations/sec.
The standard deviation is approximately 7.48 vibrations/sec.
Learn more about Standard deviation here: brainly.com/question/29115611
#SPJ11
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
The correct statement regarding the measure of center on the box plot is given as follows:
The median is the best measure of center, and it equals 19.
What does a box and whisker plot shows?A box and whisker plots shows these five features from a data-set, listed as follows:
The minimum non-outlier value.The 25th percentile, which is the median of the bottom 50%.The median, which splits the entire data-set into two halfs, the bottom 50% and the upper 50%.The 75th percentile, which is the median of the upper 50%.The maximum non-outlier value.From the box plot described in this problem, the measures are given as follows:
Minimum value of 10.Q1 = 17.Median = 19.Q3 = 21.Maximum value of 27.More can be learned about box plots at https://brainly.com/question/3473797
#SPJ1
Determine whether the variable given is qualitative, quantitative-discrete, or quantitative-continuous. cholesterol level qualitative since this variable would yield numbers quantitative-continuous since this variable would yield numbers that count qualitative since this variable would yield categories quantitative-discrete since this variable would yield numbers that count quantitative-discrete since this variable would yield numbers that measure quantitative-continuous since this variable would yield numbers that measure
At the highest level of discrete value two kinds of data which are exists as quantitative and qualitative.
Quantitative data which deals with numbers and things that can be measure objectively that are dimensions such as height, width, and length. Temperature as well as humidity. Prices. Area and volume. Qualitative data deals with characteristics and descriptors that can't be easily measured, but can also be observed subjectively such as smells, tastes, textures, attractiveness, and color. if we measure something and give it a number value, we create as quantitative data. When we classify or judge something, we create qualitative data. hence the highest level of data are also different types of quantitative and qualitative data. There are two types of quantitative data, which is also said as numeric data of continuous and discrete. in general rule, counts are discrete and measurements are continuous. Discrete data count that can't be made as more precise. Typically it involves the number of integers. For at instance
Continuous data, on the other hand, of variable could be divided and reduced to maximally of finer and finer levels.
To know more about Continuous data ,click here:
brainly.com/question/29004144
#SPJ4
Manuela solved the equation 3−2|0.5x+1.5|=2 for one solution. Her work is shown below. 3−2|0.5x+1.5|=2 −2|0.5x+1.5|=−1 |0.5x+1.5|=0.5 0.5x+1.5=0.5 0.5x=−1 x=−2 What is the other solution to the equation? x=−6 x=−4 x=2 x=4
Answer:
Step-by-step explanation:
We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.
If \(3-2|.5x+1.5|=2\) then
\(-2|.5x+1.5|=-1\) What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:
\(|.5x+1.5|=.5\)
Now we can set up the 2 main equations for this which are
.5x + 1.5 = .5 and .5x + 1.5 = -.5
Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.
Solving the first one:
.5x = -1 so
x = -2
Solving the second one:
.5x = -2 so
x = -4
We want to find the other solution of the given absolute value equation.
The other solution is x = -4
We know that:
3 - 2*|0.5*x + 1.5| = 2
It has one solution given by:
- 2*|0.5*x + 1.5| = 2 - 3 = -1
|0.5*x + 1.5| = 0.5
0.5*x + 1.5 = 0.5
0.5*x = 0.5 - 1.5 = -1
0.5 = -1/x
Then we have x = -2
To get the other solution we need to remember that an absolute value equation can be written as:
|x - a| = b
or:
(x - a) = b
(x - a) = -b
Then the other solution to our equation comes from:
|0.5*x + 1.5| = 0.5
(0.5*x + 1.5) = -0.5
0.5*x = -0.5 - 1.5 = -2
x = -2/0.5 = -4
The other solution is x = -4
If you want to learn more, you can read:
https://brainly.com/question/1301718
The circumference of a circular table is 816.4 centimeters. Determine the radius of the table.
The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius. If the circumference of the circular table is 816.4 centimeters, then we can use this formula to find the radius of the table. Solving for r, we get r = C / (2π) = 816.4 / (2π) ≈ 129.9 centimeters (rounded to one decimal place).
if it takes 5 mintutes to fill 7 cups of soda at the fountain , how many minutes would it take to fill 1.75 cups of soda ? pls help explanation.
Answer:
1.25 minutes
Step-by-step explanation:
5/7=x/1.75
8.75=7x
x=1.25 minutes
Help a brother out!!
Which of the following are characteristics of the parent function represented
by the equation F(x) =x^3?
As
Select all that apply.
A. It is a parabola.
B. It passes through quadrants I and III.
C. It has a domain and range of all real numbers.
D. It goes through the origin.
E. It is symmetric about the x-axis.
Answer:
B,D,E for sure
Step-by-step explanation:
Not A because a parabola looks different. Not sure about C.
Answer:
Step-by-step explanation:
Four brother each bought two hotdogs and a bag of chips at the football
concession stand. If the bag of chips was $1.25, and the total was $18.20.
what was the price of ONE hotdog?
$1.65
$2.11
$2.27
$3
Answer:
A-$1.65
Step-by-step explanation:
You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.
PLEASE HELP QUICK!!
Which of the following is the correct factorization of the
polynomial below?
64x3 + 125
O A. (4x + 5)(16x2 - 12x+5)
O B. (4x + 5)(16x2 - 20x+ 25)
O C. (16x2 + 5)(5x-16x + 125)
O D. The polynomial is irreducible.
Answer:
B. (4x+5)(16x2−20x+25)
Step-by-step explanation:
64x3+125
=(4x+5)(16x2−20x+25)
A normal distribution is observed from the number of points per game for a certain basketball player. if the mean (μ) is 15 points and the standard deviation (σ) is 3 points, what is the probability that in a randomly selected game, the player scored greater than 24 points? use the empirical rule
The likelihood that a player will score more than 24 points in a randomly chosen game is 0.0013 or 0.13%.
Explain the term normal distribution?The majority of the observations are centered around the middle peak of the normal distribution, which is a cumulative distribution function which is symmetrical around its mean. The probabilities for values that are farther from the mean taper away equally in both directions.To compute the probability for the a data point, we must first get the value's z-score.
Mean = μ = 15 points
SD = σ = 3 points
When calculating the likelihood that a score will be higher than 24, the z-score for 24 is:
z-score = (x-μ)/σ
z = (24-15)/3
z = 9/3
z = 3
The chance of z3 must now be determined using the z-score table, and it will be deducted from 1 to determine the likelihood of z>3.
P(z < 3) = 0.9987
P(z > 3) = 1 - P(z < 3)
P(z > 3) = 1 - 0.9987
P(z > 3) = 0.0013 = 13%
Thus, the probability that a player will score more than 24 points in a randomly chosen game is 0.0013 or 0.13%.
To know more about the normal distribution, here
https://brainly.com/question/23418254
#SPJ4
b) 8.03 x 106 + 4.0 x 104
Answer:
1267.18
Step-by-step explanation:
8.03x106=851.18
4.0x104=416
851.18+416=1267.18
Stacy hiked to a famous point with a beautiful view. It took 2 hours and 25 minutes to hike to the viewpoint and 20 minutes to hike back. Stacy spent 25 minutes enjoying the view at the top. She finished the hike at 12:25 P.M. What time did Stacy start the hike to the viewpoint?
how do you get -11.9 from -6.7+(-5.2)
and explain in words how
If you just type that exact equation into a calculator it gives you the same answer as well
Answer:
You get -11.9 from -6.7+(-5.2) because you are adding 2 negative numbers. Just forget the negative signs are there when your adding negatives. 6.7 + 5.2 = 11.9 and then just add the negative in front and that's how you get your answer -11.9
Hope this helped!
the 5th term of an arithmetic progression is three times the first term. find the sum of the first eight terms of the progression given that quarter of the fifth term is 9.
Answer:
Let the first term be "a" and common difference be "d". Then, the fifth term is 3a.
Quarter of the fifth term is 9, so (1/4) * 3a = 9. Solving for a, we get:
a = 36.The sum of the first 8 terms of an arithmetic progression can be found using the formula:
S_n = n/2 * (2a + (n - 1)d)
where n is the number of terms.In this case, n = 8, so:
S_8 = 8/2 * (2 * 36 + (8 - 1) * d)
= 4 * (72 + 7d)
= 288 + 28dSince the common difference is "d", the sum of the first eight terms is 288 + 28d.
Correct me if I’m wrong
The sum of the first eight terms of the arithmetic progression is 264.
What is an arithmetic sequence?An arithmetic sequence is a set of numbers where each phrase is created by multiplying the previous term by a constant amount (referred to as the common difference). In other terms, an arithmetic sequence is a set of numbers that changes in value from one term to the next by a fixed amount.
Let the first term of the arithmetic progression be represented by 'a', and let the common difference between terms be represented by 'd'.
Then, according to the problem statement, we know that the fifth term is three times the first term, so:
a + 4d = 3a
Simplifying this equation, we get:
2a = 4d
a = 2d
Now we can use the fact that a quarter of the fifth term is 9 to solve for d:
(1/4)(3a) = 9
3a = 36
a = 12
d = a/2 = 6
So the arithmetic progression is: 12, 18, 24, 30, 36, 42, 48, 54
The sum of the first eight terms can be found using the formula:
S₈ = (n/2)(2a + (n-1)d)
where n = 8 is the number of terms.
Plugging in the values we have found, we get:
S₈ = (8/2)(2(12) + (8-1)(6))
S₈ = 4(24 + 42)
S₈ = 4(66)
S₈ = 264
Therefore, the sum of the first eight terms of the arithmetic progression is 264.
To know more about arithmetic sequences follow
https://brainly.com/question/29179881
#SPJ2
Heather took one of her friends out to lunch. The lunches cost $100 and she paid 9% sales tax. If Heather left a 15% tip on the $100, how much in total did she pay?
Answer:
124 is the total
Step-by-step explanation:
100 * .09 = 9
100 * .15 = 15
15+ 9 + 100 = 124
Hope it helps!
PLSS HELPP IMPORTANT
(WILL GIVE BRAINLIEST)!
Answer:
c. It is a reflection around the x-axis and a reflection around the y-axis
Step-by-step explanation:
Find the value of a. Round your answer to the nearest tenth.
Answer:
Polly do you know the formula for law of Cosines?
find it if you don't
Step-by-step explanation:
a = sqrt( b^2 +c^2 - 2bcCos(A) )
a = sqrt( 100 + 62.41 -34.197)
a = sqrt(128.213)
a = 11.323
a = 11.3 ( to the nearest tenth )
Determine whether the following sequence is arithmetic, geometric, or neither. 1, 4, 9, 16,
Answer:
neither
Step-by-step explanation:
PLEASE HELP!!!!!! I REALLY NEED THIS ANSWER!!! ILL GIVE BRAINLIEST IF IT POPS UP!
Memorize Psalm 19:1 through 6.
When you have memorized these verses, recite them with expression to either your teacher or parent. Then, write these verses in your own words to show that you understand them.
"The heavens proclaim God's glory; the skies proclaim the work of his hands." They pour forth speech day after day, and unveil knowledge night after night. They have no speech, no words, and no sound is heard from them. Nonetheless, their voice reaches all over the world, and their words reach all the way to the ends of the planet. God has set up a tent for the sun in the heavens. It's like a newlywed emerging from his bedroom, or a champion joyful to run his race. It rises at one end of the heavens and circles back; nothing is bereft of its warmth."
This paraphrase captures the essence of the verses, emphasizing the declaration of God's glory through the beauty and order of the heavens, the continuous revelation of knowledge, and the symbolism of the sun's journey across the sky.
For more such questions on planet, click on:
https://brainly.com/question/28430876
#SPJ8