The best way to decide on which group we should experiment with the population sample is through a random selection.
What are the population and sample?The terms population and sample are often used interchangeably, but there is a subtle difference between the two.Population refers to the entire group of individuals that you want to study. A sample is a subset of the population that you actually study.When creating a study or experiment, you need to decide whether to use a population or a sample. If you want to study a large group of people, it may not be practical to study the entire population. In this case, you would use a sample. However, you need to be careful when selecting a sample, because it is easy to introduce bias.(B) Avoid bias and be sure the study you are executing is accurate:
It is also important to avoid bias when choosing a population or sample for research.The best way to do this is to use a random selection process. This means that every member of the population has an equal chance of being selected for the sample.Therefore, the best way to decide on which group we should experiment with the population sample is through a random selection.
Know more about the sample and population here:
brainly.com/question/7301139
#SPJ13
FELLOW K12 STUDENTS I NEED YOUR HELP!!! I NEED THE CORRECT ANSWER....I'LL GIVE BRAINLIEST TO THE FIRST ONE WITH THE RIGHT ANSWER!!
The comparison of the equations are
Parallel to line a: y = 1/4x + 1Perpendicular to line a: 4x + y = -3Neither parallel not perpendicular to line a: -4x + y = -8How to compare the equations?From the question, we have the following equation that can be used in our computation:
-x + 4y = 32
Add x to both sides of the equation
So, we have the following representation
4y = x + 32
Divide through by 4
So, we have
y = 1/4x + 32/4
Evaluate
y = 1/4x + 8
A linear equation is represented as
y = mx + c
Where
Slope = m
As a general rule, linear equations that have the same slope are parallel
This means that the equation y = 1/4x + 1 is parallel to y = 1/4x + 8
Also;
The slopes of perpendicular lines are opposite reciprocals
This means that the equation 4x + y = -3 is perpendicular to y = 1/4x + 8
Lastly, the third equation would neither parallel not perpendicular to the line.
This is because the first equation is parallel and the second equation is perpendicular
Read more about linear equations at
https://brainly.com/question/13738662
#SPJ1
Select the correct answer. Based on these segment lengths, which group of segments can form a triangle? A. 3, 10, 14 B. 8, 7, 13 C. 3, 2, 5 D. 20, 7, 13 Reset Next
Using the triangle rule, the option B can form a triangle.
In the given question,
We have to choose the correct segment from the given segment, which group of segments can form a triangle.
The given options are
A. 3, 10, 14
B. 8, 7, 13
C. 3, 2, 5
D. 20, 7, 13
To check which segment form a triangle we check that sum of two sides is always greater than the third side.
Now checking the first option.
The points is 3,10,14
When we add 3 and 10 we get 13 which is not greater than the 14. So the option A is not form a triangle.
Now checking the second option.
The points is 8,7,13
When we add 8 and 7 we get 15 which is greater than the 13. Similarly when we add 13 and 7 we get 20 which is also greater than the 8. Similarly when we add 8 and 13 we get 21 which is also greater than the 7. So the option B can form a triangle.
Since we get the right answer so we didn't check further option. The way of checking the remaining option is same.
Hence, the option B can form a triangle.
To learn more about triangle rule link is here
brainly.com/question/26125779
#SPJ1
I need help asap if molly buys 6 tickets and they cost 75 dollars in total how much would one cost?
y do i have to write so much for a small answer the answer is 12.5
Answer: One ticket would cost $12.50
Step-by-step explanation:
If 6 tickets cost $75, to find the cost of one ticket, we need to divide.
$75 divided by 6 is $12.5.
$12.5 is not a valid answer, so we need to show the hundredths place, which is 0. This means the answer is $12.50.
leaves Rockford, Illinois, at the rate of 70 mph, bound for Madison, Wisconsin. At the same time, a truck leaves Madison at the rate of 50 mph, bound for Rockford. If the cities are 72 miles apart, how long will it take for the car and the truck to meet?
The time taken for the car and truck to meet is 36 minutes.
What are speed and time?The relationship between the three variables is the fundamental concept of speed, time, and distance.A body's speed is defined as the distance travelled per unit of time. That is, speed = distance divided by time.The time for the car and the truck must be the same.
time = distance/rateLet "x" be the car'sdistance:
Then 72-x is the truck'sdistancetime = timeNow,
=> x/70 = (72-x)/50=> 50x = 5040-70x=>50x+70x = 5040=> 120 x = 5040=> x = 5040/120 = 42 miles.Then trucks distance:
=> 72-42=30 miles.Time is:
=> 42/70 = 0.6 hrs=> 0.6*60 = 36 minutes.Hence, the time taken for the car and truck to meet is 36 minutes.
To learn more about speed and time:
https://brainly.com/question/26046491
#SPJ13
What are the steps involved in the financial plann
Identify your Financial Situation,
Determine Financial Goals,
Identify Alternatives for Investment,
Evaluate Alternatives,
Put Together a Financial Plan and Implement,
Review, Re-evaluate and Monitor The Plan
What is financial planning?The process of figuring out how a corporation will be able to afford to meet its strategic goals and objectives is known as financial planning. Normally, a business develops a financial plan right away after deciding on its vision and goals. The Financial Plan details all the tasks, assets, tools, and supplies required to accomplish these goals as well as the timelines involved.
The following tasks are part of the financial planning activity:
Analyze the commercial environmentVerify the company's goals and vision.Determine the types of resources required to accomplish these goals.Measure the quantity of the resource (labor, equipment, materials)Determine the overall expense of each type of resource.Compile the expenses to make a budget.Determine any dangers and problems with the planned budget.To learn more about financial planning, refer to
https://brainly.com/question/12890843
#SPJ1
10 points :) Brainiest first answer :))
the typical person gets to bring home 77% of their paycheck. Assuming that Joe is a typical person that makes $5.25 an hour, and works 32 1/2 hours a week, how much money would Joe get to bring home each week (net pay)?
Answer:
below
Step-by-step explanation:
$ 5.25 /hr * 32.5 hr * .77 = 131.38 dollars
Shondra used four ounces of chocola? Sips to make ivo dozen cookies. At that rate, how many ounces of chocolate chips would she need to make five dozen cookies?
20 ounces of chocolate chips would be required to make 5 dozen cookies.
According to the question,
We have the following information:
Shondra used four ounces of chocolate chips to make 1 dozen cookies.
We know that when we find the cost or required amount of any product which is more than 1 then we use multiplication to find the result.
So, we will multiply 5 dozen of cookies by the number of ounces of chocolate chips required for 1 dozen cookies.
Chocolate chips for 5 dozen cookies = 5*4
Chocolate chips for 5 dozen cookies = 20 ounces
Hence, 20 ounces of chocolate chips would be required to make 5 dozen cookies.
To know more about ounces of chocolate chips here
https://brainly.com/question/17214981
#SPJ1
A fast-growing strain of bacteria doubles in population every
20 minutes. A laboratory has a culture of 200 of these
bacteria cells. Which of the following is closest to the total
number of bacteria cells after 2 hours?
Answer:
Im pretty sure its 12,800 bacteria
Step-by-step explanation:
Find the measure of the requested angle.
d =
e =
Answer:
e is 63 degrees
d is 31 degrees
simon had $.30 he spent $6.97 at the mall , $11.37 at the dinner , and $5.50 at the arcade . How much money does have left
Answer: 6.16
minus all the values from 30
Answer:
$6.16
Step-by-step explanation:
30-6.97-11.37-5.5
=6.16
half a number less than 3 is at most 5. translate as a equation or inequality.
It will be written as inequality
3 - (x / 2) ≤ 5
Inequality is a mathematical relation which is use to make non-equal comparisons between equations or numbers.
Now let us look at the question.
Half a number less than 3. Let us suppose the number to be 'x' so
3 minus half of x which can be written as 3 - (x / 2)
Next it says that it is at most 5 which means it will be 5 or less than that.
Therefore we can easily write it as inequality 3 - (x / 2) ≤ 5
To know more about inequality
https://brainly.com/question/28823603
#SPJ1
Determine which set of side measurements could be used to form a triangle.
2, 6, 10
3, 18, 22
7, 13, 16
8, 7, 19
The set of side measurements could be used to form a triangle is 7, 13 and 16.
If a, b and c are the sides of the triangle
Then
a+b > c
b+c > a
c+a > b
The first set of side measurements = 2, 6 and 10
2+6 > 10
8 < 10
This is not the side measurements of a triangle
The second set of side measurements = 3, 18 and 22
3+18 > 22
21 < 22
The is not the side measurements of a triangle
The third set of side measurements = 7, 13, 16
7+13 > 16
20 > 16
13+16 > 7
29 > 7
7+16 > 12
23 >12
This is the side measurements of a triangle
The fourth set of side measurements = 8, 7 and 19
8+7 > 19
15 < 19
This is not the side measurements of a triangle
Hence, the set of side measurements could be used to form a triangle is 7, 13 and 16
Learn more about triangle here
brainly.com/question/16412719
#SPJ1
Answer:
C. 7, 13, 16
Step-by-step explanation:
In order to be a triangle, the two smaller sides need to add up and be greater than the 3rd side.
In all the other sides they end up shorter:
2 + 6 = 8
8 < 10
3 + 18 = 21
21 < 22
8 + 7 = 15
15 < 19
BUT
7 + 13 = 20
20 > 16
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data.
10,20,11,17,15,8,7,16,19,15
The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.
Given the value:
xi 10 20 11 17 15 8 7 16 19 15 Total = 138
xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090
From the above, we get
n =10, ∑xi = 138, ∑xi^2 = 2090
(a) For the range:
Here, the smallest value = 10, and largest value = 19
Therefore, Range = Largest value - Smallest value
Range = 19 - 10 = 9
(b) For population variance:
For mean:
Mean of x = ∑xi/n = 138/10 = 13.8
V (X) = ∑(xi^2)/n - Mean of x^2
= 2090/10 - 13.8^2
= 209 - 190.44
V (X) = 18.56
(c) For population standard deviation:
[tex]SD (X) = \sqrt{VAR(X)}[/tex]
SD(X) = [tex]\sqrt{18.56}[/tex]
SD(X) = 4.30
To learn more about the standard deviation visit: https://brainly.com/question/12402189
#SPJ1
Step-by-step explanation:
The range from the given table is 9, the population variance is 18.56, and the population standard deviation is 4.30.
Given the value:
xi 10 20 11 17 15 8 7 16 19 15 Total = 138
xi^2 100 400 121 289 225 64 49 256 361 225 Total = 2090
From the above, we get
n =10, ∑xi = 138, ∑xi^2 = 2090
(a) For the range:
Here, the smallest value = 10, and largest value = 19
Therefore, Range = Largest value - Smallest value
Range = 19 - 10 = 9
(b) For population variance:
For mean:
Mean of x = ∑xi/n = 138/10 = 13.8
V (X) = ∑(xi^2)/n - Mean of x^2
= 2090/10 - 13.8^2
= 209 - 190.44
V (X) = 18.56
(c) For population standard deviation:
SD (X) = \sqrt{VAR(X)}SD(X)=
VAR(X)
SD(X) = \sqrt{18.56}
18.56
SD(X) = 4.30
Learn at brainlyAt the end of a snow storm, Audrey saw there was a lot of snow on her front lawn.
The temperature increased and the snow began to melt at a steady rate. There was a
depth of 10 inches of snow on the lawn when the storm ended and then it started
a melting at a rate of 2 inches per hour. Write an equation for S in terms of t,
snow
representing the depth of snow on Audrey's lawn, in inches, t hours after the snow
stopped falling.
An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t
In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.
We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.
So, the equation would be,
S = 10 - 2t
Therefore, an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t
Learn more about an equation here:
https://brainly.com/question/649785
#SPJ1
Find the y-intercept of the linear functions with a slope -4 and the point ( 2, 20 )
need asap
Answer:
[tex]\huge\boxed{\sf b = 28}[/tex]
Step-by-step explanation:
Point (x,y) = (2,20)
So, x = 2 and y = 20
Also,
Slope = m = -4
Slope-intercept equation:y = mx + bWhere b is y-intercept.
Put the above given data in this equation.
20 = (-4)(2) + b
20 = -8 + b
Add 8 to both sides
20 + 8 = b
28 = b
b = 28[tex]\rule[225]{225}{2}[/tex]
y=mx+c. y=20
x=2
m=-4
20= -4(2)+c
20= -8+c
20+8=c
28=c
What is the equation of these lines with a gradient and point: gradient of -3 passing through the point (-2, -6)?
Equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is equal to y = -3x -12.
As given in the question,
Gradient of the required equation of the line is given by :
Gradient is slope.
Let slope is represented by m = -3
Line passing through the point (-2, -6) is given by :
( x₁ , y₁) = ( -2 , -6)
Equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is given by :
y - y₁ = m ( x - x₁)
⇒ y - (-6) = (-3)(x - (-2))
⇒ y + 6 = -3( x + 2)
⇒ y + 6 = -3x - 6
⇒ y = -3x -12
Therefore, equation of the line which is passing through the point (-2, -6) and has the gradient of -3 is equal to y = -3x -12.
Learn more about equation here
brainly.com/question/10413253
#SPJ1
19. MODELING In Example 6, 44% of the voters say they plan to reelect the mayor. The poll has a margin of error of ±3% percentage points. Use a model to write and solve an absolute value inequality to find the least and greatest percents of voters who plan to reelect the mayor.
The Least percentage point = 41
The Greatest percentage point = 47
What is percent?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
Given:
Percentage of voters who plan to re-elect mayor = 44%
Margin of Error in measurement = ±3 % points
The absolute value inequality to find the lowest and greatest percent of points :
X = mid value
44% = estimated percentage
≤3 = error margin
Therefore,
|mid value - estimate| ≤ error margin
|x − 44| ≤ 3
⇒ -3 ≤ x - 44 ≤ +3
Add 44 on both sides,
-3 + 44 ≤ x ≤ 3 + 44
Simplifying,
41 ≤ x ≤ 47
Hence,
The Least percentage point = 41
The Greatest percentage point = 47
To know more about percent, click on the link
https://brainly.com/question/24877689
#SPJ4
Equation for (-6,0) (0,-8)
The equation of the line passing through (-6,0) and (0,-8) will be y = -4x/3-8.
According to the question,
We have the following information:
We have two points: (-6,0) and (0,-8) and we have to find the equation.
We know that following formula is used to find the slope of the line:
m = (y2-y1)/(x2-x1)
In this case, we have x1 = -6, y1 = 0, x2 = 0 and y2 = -8.
m = (-8-0)/{0-(-6)}
m = -8/(0+6)
m = -8/6
Dividing this fraction by 2:
m = -4/3
Now, the following formula is used to find the equation of the line:
(y-y1) = m(x-x1)
y-0 = -4/3{x-(-6)}
y = -4/3(x+6)
y = -4x/3-8
Hence, the equation of the line passing through (-6,0) and (0,-8) will be y = -4x/3-8.
To know more about equation of the line here
https://brainly.com/question/21511618
#SPJ1
IXL help FAST PLEASE !
Answer:
x=9
Step-by-step explanation:
these 2 angles are equivalent so we set them equal to each other
124-x=8x+43
81-x=8x
81=9x
9=x
Hopes this helps please mark brainliest
The individual times of four members of a 4×400 m relay team are shown below find the teams total waste time in seconds
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2011, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1141.
The linear regression equation that represents this set of data is given by:
y = 30x + 854.6.
The predicted calendar year in which the number of new cases would reach 1141 is:
2020.
How to obtain the linear regression equation?The format of the linear regression equation is given as follows:
y = mx + b.
In which the coefficients are listed as follows:
m is the slope.b is the y-intercept.The equation is built inserting the points given on the table into a linear regression calculator.
The points from the table given by the image at the end of the answer are given as follows:
(0, 856), (1, 871), (2, 924), (3, 961), (4,961).
Inserting these points into a calculator, the equation is given as follows:
y = 30x + 854.6.
The predicted calendar year in which the number of new cases would reach 1141 is 2011 + integer part of x, when y = 1141, hence:
1141 = 30x + 854.6
x = (1141 - 854.6)/30
x = 9.54.
Hence during the year of 2020.
Missing InformationThe table is given by the image shown at the end of the answer.
More can be learned about linear regression at https://brainly.com/question/26755306
#SPJ1
What is the equation of the line that passes through the point (-4, -8) and hads a slope of
5/2
Answer:
y = 5/2x - 8
Step-by-step explanation:
"A toy rocket is shot vertically into the air from a launching pad 7 feet above the ground with an initial velocity of 72 feet per second. The height in feet, of the rocket above the ground at t seconds after launch is given by the function h(t)=-16 t²+72 t+7. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at second(s) after launch.
(Simplify your answer.)
The maximum height reached by the object is feet.
(Simplify your answer.)"
The time taken for the rocket to reach its maximum height is; 2.25 seconds.
The maximum height reached by the toy rocket whose initial velocity is; 72 feet per second is; 88 feet.
What is the maximum height reached by the rocket?It follows from the task content that the maximum height reached by the rocket is to be determined.
The given function is; h (t) = -16 t² + 72t + 7.
Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.
Therefore; at maximum height;
h'(t) = 0
h'(t) = -32t + 72 = 0
-32t = -72
t = -72/-32
t = 2.25 seconds.
Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.
Also, the maximum height reached by the rocket is at; h (2.25);
h(2.25) = -16(2.25)² + 72 (2.25) + 7
= -81 + 162 + 7
= 88.
The maximum height reached is; 88 feet.
Read more on maximum height;
https://brainly.com/question/82347
#SPJ1
In 6 minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 18 minutes. If both belts are used, find how long it takes to move the cans to the storage area.
If we use both belts, it takes 4.5 minutes to carry the can to the storage area.
Let's assume, t = time required to move 300 pounds using both belts.
For this first calculate the speed or mass flow rate of each conveyor belt.
The big one can do 300 pounds in 6 minutes, so its speed is 300 pounds/6 minutes = 50 pounds/minute.
The smaller one takes 18 minutes, so the speed is 300 pounds/18 min = 50/3 pounds/minute.
We can see that the combined speed of both machines when working together is 50 + 50/3 = 50 (1 + 1/3) = 50 x 4/3 = 200/3 pounds/minute.
Then we find that the two machines together can transfer 300 pounds in t = 300/200/3 = 300/200 x 3 = 4.5 minutes.
Alternate Method:
We can do that too
Let t = the time required to move 300 pounds on both belts.
Job completed = 1 (300 pounds moved)
t/6 + t/18 = 1
Taking L.C.M
=> (3t + t)/18 = 1
=> 4t/18 = 1
=> t = 4.5 minutes
Hence, it takes 4.5 minutes to carry the can to the storage area.
To learn more about the conveyor belt visit: https://brainly.com/question/8774585
#SPJ1
Plsssssssss helpppppppppppp
Answer: Troy
Step-by-step explanation:
Troy’s equation has a slope of 28, so next you need to calculate Lucy’s slope: Go up 25, over to the right 1, so the slope is 25.
Troy has a greater slope, so his is steeper.
Barry completed his first semester in college. His grades are in the table below. Using the information: A = 4 points, B = 3 points, C = 2 points, D = 1 point, F = 0 points, calculate Barry's semester grade point average (GPA). Round to the nearest hundredth.
Barry's semester grade point average (GPA). Round to the nearest hundredth is 2.67
How to calculate the GPAThe GPA is calculated by following the procedures
the multiplication
credit hour * grade
= 4 * 3 = 12
= 2 * 4 = 8
= 3 * 2 = 6
= 3 * 2 = 6
sum of the products = 12 + 8 + 6 + 6 = 32
sum of credit hour = 4 + 2 + 3 + 3 = 12
The GPA
= sum of the products / sum of credit hour
= 32 / 12 = 2.67
Learn more about GPA calculation here:
https://brainly.com/question/19426550
#SPJ1
24. the numbers in a sequence
Variable
Term
Difference
Evaluate
Exponent
Answer:
34
Step-by-step explanation:
I will need a lot more info then that but i think it'll be 34
Find the value of f(12) given the following arithmetic sequence of f(3) = -3 and f(6) = 8.
The value of f(12) in the arithmetic sequence is 30.
How to solve arithmetic sequence?Arithmetic sequence formula can be represented as follows;
aₙ = a + (n - 1)d
where
d = common differencea = first termn = number of termTherefore,
f(3) = - 3
f(6) = 8
Hence, let's find f(12).
-3 = a + 2d
8 = a + 5d
3d = 11
d = 11 / 3
a = -3 - 2(11 / 3)
a = - 3 - 22 / 3
a = - 31 / 3
Hence,
a₁₂ = a + 11d
a₁₂ = - 31 / 3 + 11(11 / 3)
a₁₂ = - 31 / 3 + 121 / 3
a₁₂ = 90 / 3
a₁₂ = 30
Therefore,
f(12) = 30
learn more on arithmetic sequence here: https://brainly.com/question/14219159
#SPJ1
5+8(3+x) simplify the expression. Please show your work
Answer:
29+8x
Step-by-step explanation:
5+8(3+x)
5+24+8x - Open parentheses
29+8x - Add like terms
URGENT! Please Help!
The values of x or y are as follows:
(a) y = 4
(b) x = -2
(c) y = 6
(d) x = 3
(a) Given, that a line passes through (-3 , y) and (-9 , -2) having slope m = 1
as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m
So, (y + 2)/(-3 + 9) = 1
= (y + 2)/6 = 1
= y + 2 = 6
So, y = 4
(b) Given, that a line passes through (x , -7) and (1 , 2) having slope m = 3
as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m
So, (-7 - 2)/(x - 1) = 3
= -9/(x - 1) = 3
= x - 1 = -3
So, x = -2
(c) Given, that a line passes through (9 , y) and (3 , 2) having slope m = 2/3
as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m
So, (y - 2)/(9 - 3) = 2/3
= (y - 2)/6 = 2/3
= y - 2 = 4
So, y = 6
(d) Given, that a line passes through (7 , 5) and (x , 2) having slope m = 3/4
as, we know the formula of slope i.e. (y1 - y2)/(x1 - x2) = m
So, (5 - 2)/(7 - x) = 3/4
= 3/(7 - x) = 3/4
=7 - x = 4
So, x = 3
Hence, the values of x or y are as follows:
y = 4 , x = -2 , y = 6 and x = 3.
Learn more about Straight Lines here https://brainly.com/question/27307465
#SPJ1
