In 2010, the population of a city was 50,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answers
Answer:
The population grew by 4000. so from 2010 being 50,000 to 2015 54,000.
Step-by-step explanation:
8% of 50,000 is 4000, so knowing this you just add the 8% to the 50,000 of the 2010 population.
Related Questions
a random sample of 20 items is selected from a population. when computing a confidence interval for the population mean, what number of degrees of freedom should be used to determine the appropriate t-value? multiple choice 20 19 21 25
Answers
The degrees of freedom for the following random sample is 19.
The quantity of values that can change in a statistic's final calculation is referred to as the number of freedom levels in statistics.
The estimation of statistical parameters can be done using many types of data or information. The number of independent data points needed to estimate a parameter is referred to as having two degrees of freedom.
The amount of flexibility in an estimate is typically defined as the number of distinct scores utilized in the estimate, minus the number of characteristics used as intermediate steps in the estimation of the parameter itself.
Now degrees of freedom is calculated for the confidence level by reducing the sample size by 1.
Hence sample size =20
Degrees of freedom = 20 -1 = 19
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8. Laurenpacksanorderofblocksin 2 crates and 7 stacks. How many blocks does Lauren pack?
Answers
Answer:
14
Step-by-step explanation:
(multiply 2by7)
2×7
=14
-3 × (-12)5 ?
what is the answer????
Answers
180
explanation:
follow PEMDAS.
-12 x 5 = -60
-60 x -3 = 180
Answer:
If the X sign is multiple
=-3*-60
=180
can someone help me with this, i don’t understand
Answers
Answer:
Step-by-step explanation:
This is just a complicated method to do ratios and proportions
use the given x and y values and the ratio will be determined by k.
Then use that k and the second x value to find y.
-8 = k(20)
k = -2/5
Next part
y = (-2/5)(-4)
y = 1.6
4.What are some examples of ratio measurement scales? How do
these differ from other kinds of measurement scales?
Answers
The difference between ratio measurement scales and other scales is the presence of a true zero point.
Ratio measurement scales are the highest level of measurement scales. They possess all the properties of other measurement scales, such as nominal, ordinal, and interval scales, but also have a true zero point and allow for the comparison of ratios between measurements.
Here are some examples of ratio measurement scales:
Height in centimeters or inches
Weight in kilograms or pounds
Distance in meters or miles
Time in seconds or minutes
The key difference between ratio measurement scales and other scales is the presence of a true zero point.
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Help me asap I’ll give you brainless
Answers
Answer:
D is the answer.
Step-by-step explanation:
What happened to your computer
CAN SOMEONE PLEASE HELP!!! IM GONNA FAIL, ILL GIVE U BRAINLIST
What are the coordinates of F after a reflection over the line y=1? Give your answer in the format (#,#)
Answers
Answer:
So for the coorfinates of F, you have to see how far it is from y=1. The F is 2 points under the 1 so you have to count 2 above the 1. So the point would be (7,3). Same for the other ones. For example like D. It's 2 above 1 so its going to be 2 under which would result in (1, -1)
Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information.
x 67 65 75 86 73 73
y 44 42 48 51 44 51
(a) Find ?x, ?y, ?x2, ?y2, ?xy, and r. (Round r to three decimal places. )
?x = ?y = ?x2 = ?y2 = ?xy = r = (b) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places. )
t = critical t = Conclusion
Reject the null hypothesis, there is sufficient evidence that ? > 0.
Reject the null hypothesis, there is insufficient evidence that ? > 0.
Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.
Fail to reject the null hypothesis, there is sufficient evidence that ? > 0.
(c) Find Se, a, b, and x. (Round your answers to four decimal places. )
Se = a = b = x = (d) Find the predicted percentage ? of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places. )
%
(e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place. )
lower limit %
upper limit %
(f) Use a 5% level of significance to test the claim that ? > 0. (Round your answers to two decimal places. )
t = critical t = Conclusion
Reject the null hypothesis, there is sufficient evidence that ? > 0.
Reject the null hypothesis, there is insufficient evidence that ? > 0.
Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.
Fail to reject the null hypothesis, there is sufficient evidence that ? > 0
Answers
The required values are:
(a) ?x = 72.8333, ?y = 46.6667, ?x2 = 265390, ?y2 = 16308, ?xy = 32163, r = 0.930.
(b) Fail to reject the null hypothesis, insufficient evidence that ? > 0.
(c) Se, a, b, and x need to be calculated.
(d) Predicted percentage of successful field goals for x = 85% needs to be calculated.
(e) 90% confidence interval for y when x = 85 needs to be determined.
(f) Fail to reject the null hypothesis, insufficient evidence that ? > 0 (repeated from part b).
(a) The required values are:
- Mean of x (?x) = 72.8333
- Mean of y (?y) = 46.6667
- Sum of squared x values (?x2) = 265390
- Sum of squared y values (?y2) = 16308
- Sum of x*y values (?xy) = 32163
- Pearson correlation coefficient (r) = 0.930 (rounded to three decimal places)
(b) Testing the claim that ? > 0:
- Null hypothesis: ? = 0
- Alternate hypothesis: ? > 0
- Degrees of freedom = 4
- Critical t-value = 2.132
- Decision: Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.
(c) Other values:
- Standard error of the estimate (Se) = ...
- y-intercept of the regression line (a) = ...
- Slope of the regression line (b) = ...
- Value of x for which we want to predict y (x) = ...
(d) Predicted percentage of successful field goals for x = 85%: ...
(e) 90% confidence interval for y when x = 85: ...
- Lower limit: ...
- Upper limit: ...
(f) Testing the claim that ? > 0 (repeated from part b):
- Decision: Fail to reject the null hypothesis, there is insufficient evidence that ? > 0.
(a) To find the required values:
?x = Mean of x = (67 + 65 + 75 + 86 + 73 + 73) / 6 = 72.8333 (rounded to four decimal places)
?y = Mean of y = (44 + 42 + 48 + 51 + 44 + 51) / 6 = 46.6667 (rounded to four decimal places)
?x2 = Sum of squared x values = 67^2 + 65^2 + 75^2 + 86^2 + 73^2 + 73^2 = 265390
?y2 = Sum of squared y values = 44^2 + 42^2 + 48^2 + 51^2 + 44^2 + 51^2 = 16308
?xy = Sum of x*y values = 67*44 + 65*42 + 75*48 + 86*51 + 73*44 + 73*51 = 32163
r = Pearson correlation coefficient = (?nxy - ?x?y) / sqrt((?nx2 - (?x)^2)(?ny2 - (?y)^2))
Plugging in the values:
r = (6 * 32163 - 6 * 72.8333 * 46.6667) / sqrt((6 * 265390 - (6 * 72.8333)^2) * (6 * 16308 - (6 * 46.6667)^2))
(b) To test the claim that ? > 0:
Null hypothesis: ? = 0
Alternate hypothesis: ? > 0
Degrees of freedom = n - 2 = 6 - 2 = 4
Critical t-value for a one-tailed test at a 5% significance level with 4 degrees of freedom is approximately 2.132 (look up in t-distribution table)
If the calculated t-value is greater than the critical t-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
(c) To find Se, a, b, and x:
Se = Standard error of the estimate = sqrt((1 - r^2) * (?ny2 - (?y)^2) / (n - 2))
a = y-intercept of the regression line
b = slope of the regression line
x = value of x for which we want to predict y
(d) To find the predicted percentage of successful field goals for a player with x = 85% successful free throws:
Predicted y = a + bx
(e) To find a 90% confidence interval for y when x = 85:
Standard error of the estimate = Se
Margin of error = critical t-value * Se
Lower limit = Predicted y - Margin of error
Upper limit = Predicted y + Margin of error
(f) Same as part (b), testing the claim that ? > 0.
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if a student is chosen at random, what is the probability that the student prefers the zoo or the water park?
Answers
Without specific data on the number of students who prefer each option, we cannot calculate the probability.
To determine the probability that a student prefers the zoo or the water park, we need to know the total number of students and the number of students who prefer each option. Without this information, it is not possible to calculate the probability accurately.
To calculate the probability, we would need to divide the number of students who prefer the zoo or the water park by the total number of students. For example, if there are 50 students in total and 30 prefer the zoo and 20 prefer the water park, the probability would be:
P(prefer zoo or water park) = (30 + 20) / 50 = 50 / 50 = 1
However, without specific data on the number of students who prefer each option, we cannot calculate the probability.
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You roll a fair die twice:
a. What is the probability that the sum of the numbers is 7 given that the last number is 4?
b. What is the probability that the sum is even given that the two numbers are odd? If, not possible explain
Answers
a.The probability that the sum of the numbers is 7 given that the last number is 4 is 1/6.
b. It is not possible to calculate the probability that the sum is even given that the two numbers are odd.
a. To calculate the probability that the sum of the numbers is 7 given that the last number is 4, we need to consider the possible outcomes when rolling a fair die twice. There are 36 equally likely outcomes (6 outcomes for the first roll multiplied by 6 outcomes for the second roll). Out of these 36 outcomes, there are 6 outcomes where the last number is 4 (1,4), (2,4), (3,4), (4,4), (5,4), and (6,4). Among these outcomes, only one outcome has a sum of 7, which is (3,4). Therefore, the probability is 1/6
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Triangle abc ha a perimeter of 22cm
Ab =8cm
Bc=5
I triangle abc a right angle triangle
Answers
ΔABC is not a right angled triangle.
What is right angled triangle?
A right-angle triangle is one that has angles between its two sides that equal 90 degrees.
Main Body:
First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.
ABC - (AB + BC) ⇒ 22 - (8 + 5)
=22 - 13 = 9 cm
The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.
Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.
If a² + b² do equal c², then the triangle is a right triangle.
⇒8² + 5² = 9²
⇒64 + 25 = 81
⇒89 > 81
Therefore triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.
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In the Florida Lottery Cash4Life game a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. He will win the jackpot of $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. He will win $1000 a week for life if just all 5 numbers match the winning numbers. Assuming that the numbers are equally likely to be
drawn, determine:
(a) (5) The probability that the player will $1000 a day for life;
(b) (5) The probability that the player will $1000 a week for life;
Answers
The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).
In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)
(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).
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can anyone help me please
Answers
Answer:
it just depends what gumball its talking about
Step-by-step explanation:
If the graph below corresponds to the equation y = x2 + bx + c, what are the values of b and c?
A. b = −1,c = 2.
B. b = 2, c= −1
C. b = −1,c = −2
D. b = 1, c= −2
Answers
Answer:
C. b = -1, c = -2
Step-by-step explanation:
2 roots: x = -1 and x = 2
(x+1)(x-2) = 0
y = x² - x -2
b= -1 , c = -2
Answer:
The andswer is C b= -1 c=-2
Step-by-step explanation:
I took the quiz!!
You observe the following condition: ""Our female sales representatives have lower customer defections than do our male sales representatives."" a) Propose the concepts and constructs you might use to study this phenomenon. b) How might any of these concepts and/or constructs be related to explanatory hypotheses?
Answers
The study aims to examine the relationship between gender, sales performance, and customer defection by proposing concepts and constructs such as gender, sales performance, and customer defection and exploring explanatory hypotheses.
a) To study this phenomenon, the following concepts and constructs could be used: gender, sales performance, and customer defection. Gender can be defined as the biological differences between males and females.
b) These concepts and constructs can be related to explanatory hypotheses such as:
Female sales representatives might have better communication skills than male sales representatives, leading to lower customer defections.Male sales representatives might be more aggressive in their sales approach, causing customers to feel pressured and leading to higher customer defections.There might be a gender bias in the way customers are treated, leading to lower customer defections among female sales representatives.Learn more about the sales representatives at
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the shapes of the curves in the as/ad model are based upon the:
Answers
The shapes of the curves in the AS/AD (Aggregate Supply/Aggregate Demand) model are based upon the relationship between the price level and the output level in an economy.
The AD curve shows the relationship between the overall price level and the quantity of goods and services demanded by all buyers in an economy. It has a negative slope, indicating that as the price level increases, the quantity of goods and services demanded decreases.
The AS curve shows the relationship between the overall price level and the quantity of goods and services that firms are willing and able to supply. In the short run, the AS curve is upward sloping, indicating that as the price level increases, firms are willing to supply more output due to higher profits. In the long run, the AS curve becomes vertical, indicating that the level of output is determined by the factors of production and technology, not the price level.
Thus, the shapes of the curves in the AS/AD model are based on the behavior of buyers and sellers in an economy and their response to changes in the overall price level.
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Somebody answer this for me
Answers
your right its that one
Answer:
its d and e
Step-by-step explanation:
PLEASE HELP URGENT!!!!!!!!!!!!!!!!
Answers
Greetings! Hope this helps!
Answer
Answer choice B)
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
The answer is C
A test has 19 questions worth a total 100 points. There are ten-point questions and four-point questions. How many of each type of question are there?
Answers
Answer: 4 ten-point questions and 15 four-point questions
Step-by-step explanation:
We will set up a system of equations to help us solve this question. Let x be ten-point questions and y be four-point questions.
A test has 19 questions;
x + y = 19
... worth a total 100 points;
10x + 4y = 100
Now, we will solve by graphing. See attached. The point of intersection is our solution, where the lines cross each other.
(4, 15), 4 ten-point questions and 15 four-point questions.
Observer X is standing on Plate C near the triple junction of Plates A,B and C. On the map, fill in the dashed plate margins with appropriate symbols, arrows and labels. In 25 years, where will the triple junction be located with respect to X ? where AVB=2 cm/yr (East) BVC=4 cm/yr (East) and note that the plates A and C are continental plates and the plate B is an oceanic plate.
Answers
Given that plate A is continental and plate B is oceanic, the eastward movement of the plate margins, plate A and plate B are both moving eastward while plate C remains stationary or moves at a slower rate.
To represent this on the map, we can use symbols, arrows, and labels as follows:
Plate A (continental plate): Draw an arrow pointing eastward with an appropriate symbol to represent a continental plate. Label it as "Plate A."
Plate B (oceanic plate): Draw an arrow pointing eastward with an appropriate symbol to represent an oceanic plate. Label it as "Plate B."
Plate C (continental plate): Draw a dashed line to represent the plate margin of plate C, indicating that it is stationary or moving at a slower rate compared to plates A and B.
After 25 years, considering the rates of plate motion given, the triple junction will have moved in the following direction:
Plate A will have moved 2 cm/yr (eastward) for 25 years, resulting in a total eastward movement of 50 cm.
Plate B will have moved 4 cm/yr (eastward) for 25 years, resulting in a total eastward movement of 100 cm.
Based on these movements, the triple junction will be located 50 cm east and 100 cm east of its current position with respect to observer X.
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The distance from Earth to the Sun is approximately 9 x 10exponetn7 miles. The distance from Earth to the moon is approximately 2 x 10exponent 5 miles. Approximately how many times the distance from the Earth to the Moon is the distance from Earth to the Sun? 0 18 45 222 450
Answers
450 miles
Explanation
Step 1
Let
\(\begin{gathered} \text{distance(earth-sun)}=9\cdot10^7miles \\ \text{distance(earth-moon)}=2\cdot10^5miles \end{gathered}\)Step 2
how many times the distnce (E-M) is the distance(E-S)
\(\frac{ES}{EM}=\frac{9\cdot10^7}{2\cdot10^5}=\frac{9}{2}\cdot10^{7-5}=4.5\cdot10^2miles\)so, the distance is
\(4.5\cdot10^2miles=4.5\cdot100=450\)I hope this helps you
Write an example from daily life that uses each type of real number.
rational numbers
Answers
Write an example from daily life that uses rational numbers .
Real numbers that may be expressed as p/q, where p, q are integers, and q 0, are rational numbers. The money we have is a rational number. If we spend some sum out of it, it is subtraction of rational number.The running race involves rational numbers if you're an athlete.Rational numbers include the following:the distance runthe time needed to complete the distance,the number of competitors placing first, second, or thirdthe number of heartbeats you take per minute.We use fractions to represent taxes.If you split a pizza or any other food.When you finish a piece of your work, you indicate that you have done half, or 50%.Loan and mortgage interest rates.Savings account interest.To learn more about rational numbers, refer:
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1. Serena has $12 to spend on snacks today. The drinks cost $1.50 each
and chips cost $2 each. Write an equation where x represents the
number of drinks purchased and y represents the number of bags of
chips purchased.
Answers
Answer:
1.5x + 2y = 12
Step-by-step explanation:
The equation representing Serena’s spending on snacks today would be 1.5x + 2y = 12, where x represents the number of drinks purchased and y represents the number of bags of chips purchased.
Therefore, the equation is 1.5x + 2y = 12.
What is the result of an increase by 2/3
Answers
Answer:
y=1.6 repeatin
Step-by-step explanation:
Answer:
1.6
Step-by-step explanation:
cuz thts the answer
In Exercises 1-6, describe the transformation of f(x) = x² represented by g.
Then graph each function.
1. g(x) = x² - 2
G=
h=
M=
2. g(x) = (x - 5)²
3. g(x) = (x + 1)² + 3
Answers
The graph of the function after transformation is attached below.
The connection between several systems is defined by coordinate transformations, which offer formulas for the coordinates in one system in terms of the coordinates in another system.
The coordinate transformation from polar to Cartesian coordinates is given by the formulas x = r cos and y = r sin, for example, if the polar axis is the positive x axis on the plane and the origins of the Cartesian coordinates (x, y) and polar coordinates (r) are the same.Every bijection from the space to itself can be related to two coordinate transformations.The formulas for the new coordinates of each point's image are constructed in a way that the old coordinates of the original point's image are maintained.In particular, the change of algebraic equations, it is a typical kind of algebraic problem.The graph of the transformed function is attached below. The red graph indicates the parent function f(x) = x² and the blue graph indicated the graph of transformation g(x) = x² - 2
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what is the value of the sample test statistic? (test the difference μ1 − μ2. round your answer to three decimal places.)
Answers
To calculate the value of the sample test statistic for the difference between two population means (μ1 - μ2), you need to use the following formula:
t = (M1 - M2 - 0) / √[(s1^2 / n1) + (s2^2 / n2)]
Here, M1 and M2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.
To provide you with an accurate answer, please provide the required information (M1, M2, s1, s2, n1, and n2). Once you provide these values, I can help you calculate the test statistic rounded to three decimal places.
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sean prefers apples to clementines, and he prefers clementines to pears. if sean is rational, what would he choose if offered pears or apples?
Answers
Sean would choose apples over pears if he were offered both, based on his preference order of apples > clementines > pears and the assumption that his preferences are transitive.
Sean's preference order for fruits is: apples > clementines > pears. As a rational decision-maker, Sean would choose the option that he prefers the most. In this case, since he prefers apples over clementines and pears, if he were offered pears or apples, he would choose apples.
This decision is based on the assumption that Sean's preferences are transitive, meaning that if he prefers A to B and B to C, then he would prefer A to C. Therefore, choosing apples over pears is the most rational decision for Sean, based on his given preference order.
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A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a
Cepheid star and its period, or length of its pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness of the star, and Pis the number of days required for the star to complete one cycle. What is the absolute magnitude of
a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.
-5.95
-4.60
3.25
4.60
Answers
Answer:
-5.95 on edge
Step-by-step explanation:
The absolute magnitude of a star that has a period of 45 days is -5.95.
What is the magnitude of a star?magnitude, in astronomy, measures the brightness of a star or other celestial body. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were ranked into six magnitude classes, the first magnitude class containing the brightest stars.
How do you find the magnitude of a star?Mv = m - 2.5 log[ (d/10)2 ]. Stars farther than 10 pc have Mv more negative than m, that is why there is a minus sign in the formula. If you use this formula, make sure you put the star's distance d in parsecs (1 pc = 3.26 ly = 206265 AU).
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The absolute magnitude of a 45-day star is -5.95.
How big is the star?The magnitude measures the brightness of a star or other celestial body in astronomy. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were divided into six magnitudes, the first of which contained the brightest stars.
How do you find the size of a star?Mv = m-2.5log [(d / 10) 2]. Stars over 10 pc have a minus sign in the formula because Mv is more negative than m. When using this formula, enter the star distance d in parsecs (1 pc = 3.26 Ly = 206265 AU).
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Graph The Set {X| - 5 < X ≪ 7} On The Number Line. Then, Write The Set Using Interval Notation.
Answers
The set {X | -5 < X < 7} can be represented graphically on the number line as an open interval from -5 to 7. In interval notation, the set can be written as (-5, 7).
To graph the set {X | -5 < X < 7} on the number line, we need to mark the values that satisfy the given condition. The set consists of all real numbers that are greater than -5 and less than 7. We start by plotting a point at -5 and another point at 7 on the number line. Since the condition specifies that the values should be greater than -5 and less than 7, we don't include these points in the set. Instead, we draw open circles at -5 and 7 to indicate that they are excluded from the set. Then, we draw a line segment between -5 and 7, representing all the values that satisfy the condition. This line segment does not include -5 and 7.
In interval notation, we express the set as (-5, 7). The parentheses indicate that -5 and 7 are not included in the set, while the comma separates the two values. This notation represents an open interval, meaning that the values between -5 and 7 (excluding -5 and 7 themselves) are included in the set.
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An individual's per kg expenditure on coffee is distributed with mean $2.32 and variance 0.09 If each individual in the population drinks 3 kg of tea and 2 kg of coffee, the mean total expenditure an beverages is $ with a variance of □, If T and C have a bivariate normal distribution with covariance zero, the mean total expenditure an beverages is $□ with a variance of □. If X and Y have a bivariate distribution with covariance zero, this implies that the variables show
Answers
The mean total expenditure on beverages is $736 with a variance of $8.1912.
If X and Y have a bivariate distribution with covariance zero, this implies that the variables show no linear relationship.
Given that an individual's per kg expenditure on coffee is distributed with mean $2.32 and variance 0.09.
Each individual in the population drinks 3 kg of tea and 2 kg of coffee.
Let T and C be the amount spent on tea and coffee respectively by an individual.
Then,
Total expenditure on coffee = 2 × 2.32 × 100 = $232
and,
Total expenditure on tea = 3 × 1.68 × 100 = $504
We know that the covariance of T and C is zero.
Thus, Mean of the total expenditure on beverages = 232 + 504 = $736,
The variance of the total expenditure on beverages = 4 × variance of expenditure on coffee + 9 × variance of expenditure on tea
= 4 × 0.09 × (2.32)² + 9 × 0.04 × (1.68)²
= $8.1912
Hence, the mean total expenditure on beverages is $736 with a variance of $8.1912.
If X and Y have a bivariate distribution with covariance zero, this implies that the variables show no linear relationship.
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