Answer:
the answer was 31.88USD
Make a tree diagram to show all the possible sequences of answers for four multiple-choice questions, each with five possible responses. Assuming that you are guessing the answers so that all outcomes listed in the tree are equally likely, what is the probability that you will guess the one sequence that contains all four correct answers?
Answer: Here's a tree diagram that shows all the possible sequences of answers for four multiple-choice questions, each with five possible responses:
/-- A -- A -- A -- A
/
/ /-- A -- A -- A -- B
/ /-- A -- A -- B -- A
/ /-- A -- B -- A -- A
/ /-- B -- A -- A -- A
/ /
/ / /-- A -- A -- B -- B
/ / /-- A -- B -- A -- B
/ / /-- A -- B -- B -- A
/ / /-- B -- A -- A -- B
/ / /-- B -- A -- B -- A
/ / /-- B -- B -- A -- A
/
/ /-- A -- B -- B -- B
/ /-- B -- A -- B -- B
/ /-- B -- B -- A -- B
/ /-- B -- B -- B -- A
/
/ /-- A -- B -- B -- B
/ /-- B -- A -- B -- B
/-- B -- B -- A -- B
/-- B -- B -- B -- A
Each branch in the tree represents the guess for one of the questions, and the letters A and B represent the possible answers. There are 5 branches coming out of each node in the tree because there are 5 possible answers for each question.
To find the probability of guessing the one sequence that contains all four correct answers, we multiply the probabilities of following the path A-A-A-A:
P(A-A-A-A) = (1/5) * (1/5) * (1/5) * (1/5) = 1/625
Therefore, the probability of guessing the one sequence that contains all four correct answers is 1/625 or about 0.16%.
Step-by-step explanation:
144 is 90% what is the other 10 percent
Answer:
To find out what is the other 10%, you can use the following formula:
(100% - 90%) = 10%
So, if 144 is 90% of a value, we can divide 144 by 0.9 to find the total value:
144 / 0.9 = 160
Therefore, the other 10% of 160 is:
0.1 x 160 = 16
Step-by-step explanation:
Please help. ASAP!!!!!
Answer:
½(a+b)h
½(24+32)×18
504ft²
I might be wrong
A certain distance is covered in 3 hours at an average speed of 120km/h how long will it take to cover the same distance at an average speed of 90km/h
Therefore , the solution of the given problem of speed comes out to be it will take 4 hours to travel the same distance at an average speed of 90 km/h.
What is speed?We can determine something's speed by keeping a watch on it from a distance. The amount of distance an object can move in a specific amount of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most popular pace measurements are miles per hour (mile), kilometres per hour (kilometres), and metres for each second (m/s) (mph).
Here,
Applying the algorithm
Distance is determined by multiplying time and motion.
We can make the two equations equal because we know that the distance travelled in both scenarios is the same:
Distance = time + speed1
1 = time2 + speed2
where time1 is the first time (3 hours), speed1 is the first average speed (120 km/h), speed2 is the second average speed (90 km/h), and we're trying to determine time2.
Inputting the numbers provided yields:
Distance: 360 km at 120 km/h for three hours.
We can now determine the time2:
360 kilometres are equal to 90 kilometres per hour multiplied by two.
time2 = 360 km x 90 km/hr = 4 hours
Therefore, it will take 4 hours to travel the same distance at an average speed of 90 km/h.
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this side lengths of a tringal are 6,8.10. is this a right triangle
Answer:
yes
Step-by-step explanation:
It is a Pythagorean triangle 3-4-5
Hope this helps.
Ratios and Proportions (please help on all questions)
36
Step-by-step explanation:
Total ratio 2+6=8
the ratio for glazed doughnuts is 6. divide it by the total ratio and multiply it by the total number of doughnuts
6/8 × 48
= 36
2a. 2+6=8
6/8 × 24
=18
3a. 3+9=12
3/12 × 144
= 36
the distance between (3, -6) and (3, -10)
Answer:
4 units
Step-by-step explanation:
Since the x-value is the same in both ordered pairs, you can just figure out the y-step ([tex]y_{2} -y_{1}[/tex]) and get your distance. -10 - (-6) = -4, so a distance of 4 units (negative sign does not matter in this case).
If both the x-values and y-values were different, another way to solve is to figure out the y- and x-steps and plug them into the Pythagoras theorem [tex]A^2+B^2 = C^2[/tex], with A being the horizontal distance (x-step) and B being the vertical distance (y-step).
You can also find the distance between 2 points by using the distance formula, which is [tex]d = \sqrt{(x_{2}-x_{1})^{2} - (y_{2}-y_{1})^{2}[/tex]. After inserting the x- and y-coordinates of your ordered pair you get [tex]d = \sqrt{(3-3)^{2} - (-10-(-6))^{2}[/tex]
Simplifying:
[tex]d = \sqrt{- (-10-(-6))^{2}}[/tex]. [tex](3-3)^{2}[/tex] was eliminated.
Then we distribute the negative signs: [tex]d = \sqrt{- (-10+6)^{2}}[/tex] --> [tex]d = \sqrt{(10-6)^{2}}[/tex].
[tex]d = \sqrt{(4)^{2}}[/tex] --> [tex]d = \sqrt{16}[/tex] --> [tex]d = 4[/tex]
So, the distance between the points is 4 units.
Side note: The distance formula works in the same way as the Pythagoras theorem.
I really don’t understand please help me
The probability that this person also sailed is 1.
What is probability?
In mathematics, probability is a measure of the likelihood or chance that an event will occur. It is typically expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
Out of 50 people, 40 took part in walking and 18 took part in sailing. However, 3 people did neither activity, which means that 40 + 18 - 3 = 55 people took part in at least one of the activities.
Let's represent the set of people who walked as A, and the set of people who sailed as B. We want to find the probability that a randomly chosen person from A is also in B, which can be represented as P(B|A).
Using the formula for conditional probability, we have:
P(B|A) = P(A and B) / P(A)
We know that P(A and B), the probability that a person took part in both walking and sailing, is 50 - 3 = 47 (since 3 people did neither activity). We also know that P(A), the probability that a person took part in walking, is 40.
Therefore,
P(B|A) = 47 / 40
which simplifies to
P(B|A) = 1.175
probabilities cannot be greater than 1, so the actual probability is 1, meaning that it is certain that a person who walked also sailed.
Hence, The probability that this person also sailed is 1.
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An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the linear regression line for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round the coefficients to two decimal places.
Number of TV commercials, x 4
4
6
12
17
Car sales, y (in hundreds)
2
5
8
9
The linear regression equation for the data given in the table is presented as follows:
y = 0.51x + 1.07.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are usually given in a scatter plot or in a table.
The points for the data-set in this problem are given as follows:
(4,2), (6, 5), (12, 8), (17,9).
Inserting these four points into a linear regression calculator, the linear regression equation for the data given in the table is presented as follows:
y = 0.51x + 1.07.
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8y³+10y²-63y÷2y+7
give me ans quickly
Step-by-step explanation:
you can simply solve this question by simple division
Find the value of the variables or indicated side length in each isosceles triangle.
Using properties of trapezium, x = 7° and y = 10°.
A quadrilateral with at least one set of parallel sides is known as a trapezium. A trapezium has the following characteristics:
Four vertices and four sides make up a trapezium.
The bases of a trapezium are its parallel sides. The legs are the non-parallel sides.
The distance that separates the bases of a trapezium perpendicularly is known as its height (or altitude). It need not be the same as the length of the legs.
The section that joins the midpoints of the legs is known as the mid-segment of a trapezium. It runs parallel to the bases and has the same length as the sum of the bases' lengths.
A trapezium's internal angles add up to 360 degrees.
A = 1/2 x (base1 + base2) x height, where base1 and base2 are the lengths of the two bases and height is the perpendicular distance between them, can be used to compute the area of a trapezium.
These are some of a trapezium's essential characteristics.
The given figure is trapezium,
As, two non - parallel sides are equal and they intersect a parallel line,
⇒ The angle at which they intersect will be equal,
⇒ 7x = 49
x = 7°
The sum of angles on adjacent sides of trapezium equals 180.
⇒ 13y + 1 + 7(7) = 180
⇒ 13 y + 50 = 180
⇒ y = 180 - 50 / 13
⇒ y = 10°
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Write a verbal description of the set {a, e, i, o, u}
help please geometry
Applying similar triangles the length of EB is 14.6
How to find length EBSimilar triangles is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent
Hence assuming the corresponding angles of the triangle are congruent then the side should be in proportions
Examining the figure shows that pair of equivalent sides are
DE and DF, EB and FC
The solution is worked out using sides BC and FE, then AC and DF
DE / EB = DF / FC
17.5 / EB = 13.1 / 10.9
cross multiplying
17.5 * 10.9 = 13.1 * EB
EB = 14.6
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pls help i am having a panic attack
The value of cos(2x+y) is -12/65.
Describe cosine ?Cosine, commonly denoted as cos, is a mathematical function that relates the angle of a right triangle to the ratio of the adjacent side to the hypotenuse. In other words, it is the ratio of the length of the adjacent side of an angle to the hypotenuse of the right triangle containing that angle. Cosine is one of the basic trigonometric functions, along with sine and tangent, and is widely used in mathematics, physics, and engineering to model various phenomena.
Cosine is periodic with a period of 2π, and its values range from -1 to 1. When the angle is 0°, the cosine is equal to 1, indicating that the adjacent side of the triangle is equal to the hypotenuse.
We can use the trigonometric identities for cosine to find cos(2x+y), using the values of x and y given:
cos(2x+y) = cos(2x)cos(y) - sin(2x)sin(y)
To find cos(2x), we can use the double angle identity for cosine:
cos(2x) = cos²(x) - sin²(x)
To find cos(x) and sin(x), we can use the fact that x = sin⁻¹(4/5) and the Pythagorean theorem:
sin(x) = 4/5
cos(x) = √(1 - sin²(x)) = √(1 - 16/25) = 3/5
Substituting these values into the double angle identity, we get:
cos(2x) = cos²(x) - sin²(x) = (3/5)² - (4/5)² = -7/25
To find sin(2x), we can use the double angle identity for sine:
sin(2x) = 2sin(x)cos(x) = 2(4/5)(3/5) = 24/25
To find cos(y) and sin(y), we can use the fact that y = tan⁻¹(12/5) and the Pythagorean theorem:
sin(y) = 12/13
cos(y) = 5/13
Substituting these values into the expression for cos(2x+y), we get:
cos(2x+y) = cos(2x)cos(y) - sin(2x)sin(y)
= (-7/25)(5/13) - (24/25)(12/13)
= -60/325
= -12/65
Therefore, cos(2x+y) = -12/65.
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Jason and Piera decide to start a college savings account for their newborn son, Joseph. They want to have $40,000 available for him when he is 18, and they expect the account to have an average return of 7%. How much do they need to deposit each month to reach this goal?
Round answer to 2 decimal places.
Answer:
Step-by-step explanation:
What is eight less than the product of two and a number equals four translated into an equation
Answer:
Let's break down the given sentence into an equation.
Let's assume the number is represented by 'x'.
The product of two and a number: 2x
Eight less than the product of two and a number: 2x - 8
Equals four: 2x - 8 = 4
Therefore, the equation is 2x - 8 = 4.
Two pools are being filled with water. To start, the first pool contains 970 liters of water and the second pool is empty. Water is being added to the firs rate of 20.5 liters per minute. Water is being added to the second pool at a rate of 44.75 liters per minute. After how many minutes will the two pools have the same amount of water? 40 minutes How much water will be in each pool when they have the same amount? liters
The water in the two pools would be the same quantity in 40 minutes.
The amount of water in each pool is 1790 liters.
How much water would be in each pool when they have the same quantity of water?The function that represents the total amount of water in the first pool is:
Water already in the pool + (amount of water added per minute x number of minutes)
970 + (20.5 x t)
970 + 20.5t
The function that represents the total amount of water in the second pool is:
quantity added per minute x number of minutes
44.75 x t
44.75t
When the two pools have the same amount of water, the two functions would be the same.
44.75t = 970 + 20.5t
970 = 44.75t - 20.5t
970 = 24.25t
t = 970 / 24.25
t = 40 minutes
Amount of water in each pool = 44.75 x 40 = 1790 liters
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You have two credit cards.
What is your debt ratio? If you budget $375 to payoff your credit card debt and you payoff the highest interest card first while maintaining the interest accrued on the other card, how many months does it take you to pay it off and how much is the payment each time excluding the last payment?
Be sure to include the following in your response:
the answer to the original question
the mathematical steps for solving the problem demonstrating mathematical reasoning
Therefore, the payment for the first card each month excluding the last payment is $163.75, and it takes 10 months to pay it off. The payment for the second card each month excluding the last payment is $186.25, and it will take longer to pay it off completely, depending on the balance and the interest rate.
What is equation?An equation is a mathematical statement that shows the equality of two expressions, usually with an equal sign "=" in between them. An equation can contain variables, constants, and operators. The variables are represented by letters and can take on different values, while constants are fixed values that do not change. Operators include mathematical symbols like plus, minus, multiplication, and division, as well as exponents and logarithms.
Here,
To find the debt ratio, we need to divide the total credit card balance by the total credit limit. Let's say the balance on the first card is $1,500 and the credit limit is $5,000, and the balance on the second card is $2,500 and the credit limit is $10,000. Then, the total balance is $1,500 + $2,500 = $4,000 and the total credit limit is $5,000 + $10,000 = $15,000.
Therefore, the debt ratio is:
Debt ratio = Total balance / Total credit limit = $4,000 / $15,000 = 0.2667 or 26.67%
Now, let's look at paying off the credit card debt. We will assume that the first card has a higher interest rate than the second card. Let's say the interest rate on the first card is 18% per year and the interest rate on the second card is 12% per year.
If we budget $375 to pay off the credit card debt, we can determine the payment for the first card and the number of months it will take to pay it off as follows:
Step 1: Determine the interest accrued on the second card
Interest accrued on the second card per month = (12% per year / 12 months) * $2,500 = $25
Step 2: Determine the payment for the first card
Let x be the payment for the first card. Then, the payment for the second card is $375 - x. The total interest accrued on the first card plus the principal must be equal to the total payment:
0.18/12 * $1,500 + x = $375 - x - $25
0.015 * $1,500 + 2x = $350
2x = $350 - $22.50
x = $327.50/2 = $163.75
Therefore, the payment for the first card is $163.75, and the payment for the second card is $375 - $163.75 - $25 = $186.25.
Step 3: Determine the number of months to pay off the first card
Let n be the number of months to pay off the first card. Then, the balance after n months is:
$1,500 * (1 + 0.18/12)*n - $163.75 * ((1 + 0.18/12)*n - 1)/(0.18/12) = $0
Using a spreadsheet or trial and error, we can find that it takes approximately 10 months to pay off the first card.
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The function f is defined by the rule that assigns each real number x to 1 more than the opposite of its cube root. Select all the true statements about the function f.
A. The domain is all real numbers.
B. The range is all real numbers.
C. The x-intercept is 0.
D. The y-intercept is 1.
E. The graph is decreasing for all values in the domain of f.
Answer:
A, B, D, E-------------------------------
As per given definition the function is:
[tex]f(x) = -\sqrt[3]{x} + 1[/tex]Verify each statement:A. The domain is all real numbers ⇒ TRUE, as there is no restrictions to the domain.
B. The range is all real numbers ⇒ TRUE, since no domain restrictions, the range has no restrictions.
C. The x-intercept is 0 ⇒ FALSE
It is the point with zero y-coordinate:
[tex]0= -\sqrt[3]{x} + 1[/tex][tex]\sqrt[3]{x} = 1[/tex][tex]x=1[/tex]D. The y-intercept is 1 ⇒ TRUE
It is the point with zero x-coordinate:
[tex]f(0)=-\sqrt[3]{0}+1=0+1=1[/tex]E. The graph is decreasing for all values in the domain of f ⇒ TRUE
The domain has a negative coefficient and the function is cube - root function, hence the odd function, therefore it is always decreasing.
See attached graph to help with answer choices.
Solve for the value of q
Answer:
-3
Step-by-step explanation:
i hope thisis the right aswrr
The state transportation commission counted cars traveling east and west across a toll bridge. The commission counted 7,000 cars, 6,020 of which were traveling east. What percentage of the cars counted were traveling east? Write your answer using a percent sign (%).
To find the percentage of cars that were traveling east, we can use the following formula:
percentage = (part / whole) x 100%
where "part" is the number of cars traveling east, and "whole" is the total number of cars counted.
In this case, we know that 6,020 cars were traveling east, out of a total of 7,000 cars counted. So we can plug these values into the formula:
percentage = (6,020 / 7,000) x 100%
percentage = 0.86 x 100%
percentage = 86%
Therefore, 86% of the cars counted were traveling east across the toll bridge.
Can someone help me understand this question.... Thank you
Claude is buying boxes of cinnamon rolls from a bakery. Each box is $6. Which of the following statements are true? (Choose 2 statements.)
A. The independent variable is the number of boxes of cinnamon rolls Claude buys.
B. The dependent variable is the amount of money you spend on the cinnamon rolls.
C. The dependent variable is the number of boxes of cinnamon rolls Claude buys.
D. The independent variable is the amount of money you spend on the cinnamon rolls.
E. None of the above statements are true.
2.Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a similar sampling probability than others.
correct answer is False
3. Ruben randomly called 100 phone numbers in his town in order to survey them about their shopping habits. 55 people decided to participate in the survey.
This is an unbiased sample.
False
The correct statements are:
A. The independent variable is the number of boxes of cinnamon rolls Claude buys.
B. The dependent variable is the amount of money Claude spends on the cinnamon rolls.
What is independent variable?
The independent variable is the variable that is manipulated or controlled by the experimenter, and in this case, Claude is choosing how many boxes of cinnamon rolls to buy.
1. The dependent variable is the variable that is affected by the independent variable, and in this case, the amount of money Claude spends depends on the number of boxes he buys.
Therefore, statement A and B are correct, while C, D, and E are not true in this context.
2. Sampling bias is a bias in which a sample is collected in such a way that some members of the intended population have a similar sampling probability than others. (FALSE)
3. Ruben randomly called 100 phone numbers in his town in order to survey them about their shopping habits. 55 people decided to participate in the survey.
This is an unbiased sample. (FALSE)
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What is correct regarding a
normal distribution?
The normal distribution has a bell-shaped curve, with the highest point at the mean and a gradual decrease in frequency on either side.
What is Normal Distribution ?
A normal distribution is a continuous probability distribution that is often used in statistics to model a wide variety of phenomena, such as measurements of height, weight, or IQ.
The normal distribution is symmetric. This means that the distribution is mirror-image symmetric around its mean, so that the same proportion of values lie on either side of the mean.
The normal distribution is characterized by two parameters: its mean (μ) and standard deviation (σ). The mean is the center of the distribution, while the standard deviation measures the spread of the distribution.
The total area under the normal distribution curve is equal to 1. This means that the probability of any event occurring is between 0 and 1.
The empirical rule, also known as the 68-95-99.7 rule, applies to normal distributions. This rule states that approximately 68% of the data will fall within one standard deviation of the mean, approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.
Therefore, The normal distribution has a bell-shaped curve, with the highest point at the mean and a gradual decrease in frequency on either side.
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Can you please give me the answers of the following questions on the attached files
a) The 8 in the number 24.387 is in the hundredths place, its value is 8/100 or 2/25.
b) One and three quarter million can be written in figures as 1,750,000.
c) 2/10 or 1/5.
d) 0.26 < 0.62 < 2.06 < 6.2
e) 13.4 > 13.390.33 = 1/38 = 2³
What is the inequality equation?An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
a) The 8 in the number 24.387 is in the hundredths place.
Therefore, its value is 8/100 or 2/25.
b) One and three quarter million can be written in figures as 1,750,000.
c) The 2 in the number 48.52 is in the tenths place.
Therefore, its value is 2/10 or 1/5.
d) Ordering the numbers from smallest to largest:
0.26 < 0.62 < 2.06 < 6.2
e) Completing the statements using the symbols <, > or = :
13.4 > 13.390.33 = 1/38 = 2³
Hence, The answers to each question are:
a) 8/100 or 2/25.
b) 1,750,000.
c) 2/10 or 1/5.
d) 0.26 < 0.62 < 2.06 < 6.2
e) 13.4 > 13.390.33 = 1/38 = 2³
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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 33 beats per minute, the mean of the listed pulse rates is 77.0 beats per minute, and their standard deviation is s= 27.6 beats per minute.
Antonio is wrapping a birthday gift for his brother. He starts with 2 meters of ribbon. Then, he cuts off 27 centimeters to decorate the gift. How many centimeters of ribbon does he have left now?
Answer: 173 centimeters of ribbon left
Step-by-step explanation:
Antonio starts with 2 meters of ribbon, which is equal to 200 centimeters (since 1 meter = 100 centimeters). He cuts off 27 centimeters to decorate the gift, so he is left with:
200 - 27 = 173 centimeters
Therefore, Antonio has 173 centimeters of ribbon left.
The equation of a line is given by 3x +4y =12. Solve for y.
Answer:
[tex]y = -\frac{3x}{4} + 3[/tex]
Step-by-step explanation:
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Remember to do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 3x from both sides of the equation:
[tex]3x + 4y = 12\\4y + 3x (-3x) = 12 (-3x)\\4y = -3x + 12[/tex]
Next, divide 4 from both sides of the equation:
[tex]4y = -3x + 12\\\frac{(4y)}{4} = \frac{(-3x + 12)}{4} \\y = \frac{-3x + 12}{4}\\ y = -\frac{3x}{4} + 3[/tex]
[tex]y = -\frac{3x}{4} + 3[/tex] is your answer.
~
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Quadralateral ABCD is a rectangle. BE = 2x+1 and AC 6x -12. What is BE
Answer:
BE=15
Step-by-step explanation:
Since E is the center, BE=2x+1
And AC is 6x-12 with E being a midpoint.
Since AC is 2 segments and BE is only 1 then you multiply 2x+1 by 2 so that
you can find x. You multiply 2x+12 by 2 because E is the midpoint so that means ED is the same value as BE
6x-12=4x+2
BD=AC
6x-4x-12=2
2x=2+12
2x=14
x=7
BE= 2x+1
2(7)=14+1=15
Many matchers we conserved about the number of petentiomers within a certain wes of land besmes of the different represents to serve dumilar mee. What is this
seguentation variable collect
O Missomasin
Poplation
O CRUSA
6.Maleet bety
The population would be the name that is used to refer to the segmentation variables
What is population in research?
In research, population refers to the entire group of individuals or objects that share a common characteristic and are of interest to the researcher. The population is the group to which the researcher wishes to generalize their findings. For example, if a researcher is studying the effects of a new medication on blood pressure in adults, the population would be all adult individuals who have high blood pressure.
It is important to define the population accurately in research because the results of the study can only be generalized to the population being studied. If the population is not defined accurately, the results of the study may not be applicable or generalizable to other groups or populations.
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There are 24 people running in a race. 1/4 are wearing green shorts. 1/6 are wearing red shorts. The rest are wearing blue shorts. How many people are wearing blue shorts?
Use a tape diagram to help you answer the question.
Solve. Show or explain your work.
Answer:
First, let's find the fraction of people wearing green or red shorts:
1/4 + 1/6 = 3/12 + 2/12 = 5/12
This means that 5/12 of the people are wearing either green or red shorts. To find the fraction of people wearing blue shorts, we need to subtract this from 1 (since the three options are exhaustive):
1 - 5/12 = 7/12
So, 7/12 of the people are wearing blue shorts. To find out how many people this represents, we can multiply this fraction by the total number of people in the race:
7/12 x 24 = 14
Therefore, 14 people are wearing blue shorts.
Step-by-step explanation:
Answer:
To use a tape diagram, we can start by drawing a rectangle to represent the total number of people in the race. Then, we can divide it into four equal parts to represent the people wearing green shorts and into six equal parts to represent the people wearing red shorts.
Let's use the letter "B" to represent the number of people wearing blue shorts. We know that the total number of people is 24, so we can write:
4 parts + 6 parts + B parts = 24
Simplifying this equation, we get:
10 + B = 24
Subtracting 10 from both sides, we get:
B = 14
Therefore, 14 people are wearing blue shorts.
To double-check our answer, we can add up the number of people in each category:
4 parts out of 24 = 6 people wearing green shorts
6 parts out of 24 = 4 people wearing red shorts
B parts out of 24 = 14 people wearing blue shorts
6 + 4 + 14 = 24, which matches the total number of people in the race.