Describe two trends you can find in the graph below. Use calculations and numbers to support your thinking.
Answers
The two trends on the graph are:
Positive correlationNegative correlationDescribing the two trends on the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
The two trends on the graph are:
Positive correlationNegative correlationFor the positive correlation, we have
Upward trend from January till August
This is because the function values increase approximately in this domain
For the negative correlation, we have
Upward trend from August till December
This is because the function values decrease approximately in this domain
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Related Questions
Calculate the surface area and volume for each cylinder.
Surface Area = (² x 2) + (nd x h)
2 x h
Volume
2.
r = 1.75 in h = 2.2 in
Surface Area =
Volume=
d=4.3 mm h= 2 mm
Surface Area =
Volume=
Find the volume
Answers
The surface area and volume of the second cylinder are given in square millimeters and cubic millimeters, V =
The given dimensions for cylinders are:
r = 1.75 in, h = 2.2 in Surface Area of Cylinder:
S = 2πr² + 2πrh
The surface area formula of a cylinder is S = (2 * pi * \(r^2\)) + (2 * pi * r * h).
S = (2 * 3.14 * 1.75²) + (2 * 3.14 * 1.75 * 2.2)
= 44.33 + 38.49
= 82.82 square inches.
Volume of Cylinder: V = πr²h
The formula to calculate the volume of a cylinder is given by V = pi * \(r^2\) * h.
Volume = 3.14 * 1.75² * 2.2 = 20.28 cubic inches.
Volume = π(1.75)²(2.2)
Volume ≈ π(3.0625)(2.2)
Volume ≈ 6.7375π cubic inches
The given dimensions for cylinders are: d = 4.3 mm, h = 2 mm
Surface Area of Cylinder: S = 2πr² + 2πrhS = (2 * 3.14 * 2.15²) + (2 * 3.14 * 2.15 * 2) = 67.65 square millimeters.
Volume of Cylinder: V = πr²hV = 3.14 * 2.15² * 2 = 28.33 cubic millimeters.
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A right triangle has side lengths AC = 7 inches, BC = 24 inches, and AB = 25 inches.
What are the measures of the angles in triangle ABC?
m∠A ≈ 46.2°, m∠B ≈ 43.8°, m∠C ≈ 90°
m∠A ≈ 73.0°, m∠B ≈ 17.0°, m∠C ≈ 90°
m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
m∠A ≈ 74.4°, m∠B ≈ 15.6°, m∠C ≈ 90°
Answers
Answer:c
Step-by-step explanation:
The measures of the angles in triangle ABC are; m∠A ≈ 73.7°, m∠B ≈ 16.3°, m∠C ≈ 90°
How to find the measures of angles in triangle ABCIt follows that the right angle is between the two shorter sides;
Hence, the angle measure, m∠C ≈ 90°.On this note, the angle, m∠A is opposite side BC;
Therefore, from sine formula;
Sin m∠A ≈ 24/25Sin m∠A ≈ 0.96m∠A ≈ sin-¹(0.96)m∠A ≈ 73.7°
And from sum of angles in a triangle;
m∠A ≈ 16.3°
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Hi! does anyone know how to solve this question? :)
given
1. f(x)=x^2-9 find the indicates values
f(-1)
Answers
Answer: f(-1)=-8
Step-by-step explanation:
f(x)=x^2-9
f(-1)=(-1)^2-9
f(-1)=1-9
f(-1)=-8
Solve for x:
A: 3x - 7 = -19; x =
B: 2x + 3 = -11; x =
C: -3 + 1 = -26; x =
D: 6x + 3 = -15; x =
E: -9 + 7x = 33; x =
F: -2x + 8 = 4; x =
( URGENT PLEASE SOLVE !!! )
Answers
A: x = -4
B: x = -7
C: There is no solution for x since -2 does not equal -26.
D: x = -3
E: x = 6
F: x = 2
please help!!!! need by tomorrow!!
Answers
Answer:
Step-by-step explanation:
Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21 of a foot of ribbon left.
QUESTION: How much ribbon did Ali start with?
Answers
The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.
What are mathematical operations?The basic mathematical operations include addition, subtraction, division, and multiplication.
In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).
The quantity of ribbon attached to the rearview mirror = 2/7
The remaining quantity of ribbon after the attachment = 10/21
The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)
Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.
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I have 7 friends. I owe 3 of my friends a dollar and 4 of my friends owe me a dollar. I can tell the difference between my friends. How many ways can I settle all the debts given that I start with 0 dollars
Answers
Answer:
2
Step-by-step explanation:
either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.
How much would you have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would
earn?
Round to 2 decimal places and do not include the $
symbol.
Answers
Answer:
To calculate how much you would have to deposit today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn, we can use the formula for the present value of an annuity due:
PV = PMT × ((1 - (1 + r/n)^(-n×t)) / (r/n)) × (1 + r/n)
where:
- PV is the present value of the annuity due (the amount you would have to deposit today)
- PMT is the monthly payment ($75)
- r is the annual interest rate (3.5%)
- n is the number of times interest is compounded per year (12 for monthly compounding)
- t is the number of years (10)
PV = 75 × ((1 - (1 + 0.035/12)^(-12×10)) / (0.035/12)) × (1 + 0.035/12) = **$7,360.47**
Therefore, you would have to deposit **$7,360.47** today to accumulate the same amount of money that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn.
Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Answers
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
4k - 6 < 3k + k - 1
Solve for K
Answers
Step-by-step explanation:
4k - 6 < 3k + (k - 1)
4k < 3k + 6(k - 1)
4k < 3k + 6k - 6
4k < 9k - 6
4k - 9k < -6
-5k < -6
k < -6
-5
k < 6
5
Celine is 6 years younger than her sister Cindy. She is also one third as old as Cindy.
Select two equations of a system that can be solved to find both ages.
a. 3x-6y=0
b. 3x-y=0
c. y-x=6
d. x-y=6
Answers
The two equations of a system that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.
What is system of equations?A group of two or more equations that must be solved all at once is known as a system of equations. The objective is to determine the values of the variables that make both equations true in a system of two equations with two variables. These numbers represent the system of equations' answer. There are several ways to solve a system of equations, including substitution, elimination, and graphing. They are used to simulate and resolve issues in many branches of mathematics, science, engineering, and other disciplines.
Let us suppose the age of Celine = x.
Let us suppose the age of Cindy = y.
Given that, Celine is 6 years younger than her sister Cindy.
x = y - 6
She is also one third as old as Cindy.
x = 1/3y or y = 3x.
Substitute the value of y in equation 1:
x = 3x - 6
6 = 2x
x = 3
Substitute the value of x:
y = 3(3) = 9
Hence, the two equations that can be used to find the ages of both girls are y - x = 6 and 3x - y = 0.
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Ninety-two percent of the people who have a particular disease will have a positive result on a given
diagnostic test. Ninety-six percent of the people who do not have the disease will have a negative result on
this test. Suppose 5 percent of the population has the disease.
7. Draw a tree diagram to illustrate these probabilities.
8. What percent of the population would test positive for the disease?
9. If someone from the population tests positive, what is the probability that (s)he has the disease?
Answers
99.4% chance that you are healthy if you receive a negative test. 67.9% chance that you are sick if you receive a positive test.
How to calculate probability?14% of population would test positive for the disease
Step 1. Give algebraic names to various events described:
Let the event A represent the event that the diagnostic test gives a positive resultthe event E1 represent the event that a person has the particular disease, and, the event E2= not E1 represent the event that a person does not have the particular disease.Step-2: Model the given situation mathematically.
It is given that ninety percent of the people who have the disease will have a positive result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a positive result (A) given that the tested person has the disease (E1) is given to be 90% Thus, P(A/E1)=90%It is also given that ninety percent of the people who do not have the disease will have a negative result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a negative result (not A), given that the tested person does not have the disease (E2 = not E1) is given to be 90%
Thus P(not A/E2)=90%
Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease (E1) has the probability of 5% Thus P(E1)=5%
It is needed to find what percent of that population would test positive for the disease.
Thus, the probability that a person will have a positive result when tested, P(A) is to be determined.
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There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
Answers
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
Xavier is buying fencing to surround his garden if his garden has a perimeter of 30 yards and fencing cost six dollars a yard how much money will he need for the fencing
Answers
Answer:
$180
Step-by-step explanation:
If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180
Granola bars are on sale for $0.50 each. If Brad paid $5 for granola bars, find how many bars he bought.
Answers
Answer:
10 bars
Step-by-step explanation:
Divide 8 1/8 by 7 1/12 simplify the answer and write as a mixed number
Answers
The division of 8 1/8 by 7 1/12 is 91/136.
What is division?Division simply has to do with reduction of a number into different parts. On the other hand, a mixed number is the number that's made up of whole number and fraction.
Dividing 8 1/8 by 7 1/12 will go thus:
8 1/8 ÷ 7 1/12
Change to improper fraction
65/8 ÷ 85/7
= 65/8 × 7/85
= 91/136
The division will give a value of 91/136.
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we send a bit over the internet and the probability of successfully receiving it is 0.5. we define the random variable x
Answers
As the number of successful bit transmissions in a sequence of 10 bits sent over the internet. Then x follows a binomial distribution with parameters n=10 and p=0.5.
Binomial Distribution SummaryThe binomial distribution models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has only two possible outcomes: success or failure. In this case, the number of trials is 10 (n=10) and the probability of success in each trial is 0.5 (p=0.5).
Since each bit transmitted over the internet can be considered a Bernoulli trial, it follows that the number of successful transmissions (x) follows a binomial distribution with parameters n=10 and p=0.5.
These properties make the binomial distribution a useful model for situations where the number of trials is fixed, each trial is independent, and each trial has only two possible outcomes.
In the example of sending bits over the internet, each bit transmission can be considered a Bernoulli trial, so the number of successful transmissions follows a binomial distribution.
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I NEED HELP ILL MARK!!!
Answers
Answer:
c) tan
Step-by-step explanation:
For the 63-deg angle, YZ is the opposite leg. The unknown side, AY, is the adjacent leg. The trigonometric ratio that relates the opposite and adjacent legs is the tangent.
Answer: c) tan
नीचे दिर गर दक्वि व्यंजनी वाले दो दो शब्द लिखिए
म्म
Answers
Answer:
give Ff id let's play ......
labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
Answers
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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Billy gave money to a charity over a 20 year period, from Year 1 to Year 20 inclusive. He gave RM150 in Year 1, RM160 in Year 2, RM170 in year 3, and so on. Kevin also gave money to the charity over the same 20 years period. He gave RMA im Year 1 and the amount of money he gave each year increased, forming an arithmetic sequence with common difference RM30. The total amount of money that Kevin gave over 20 years period was twice the total amount of money that Billy gave. calculate the value of A.
Answers
The value of A is RM 205.
Since Billy gave money to a charity over a 20 year period, from Year 1 to Year 20 inclusive, and he gave RM150 in Year 1, RM160 in Year 2, RM170 in year 3, and so on, and Kevin also gave money to the charity over the same 20 years period, but he gave RMA im Year 1 and the amount of money he gave each year increased, forming an arithmetic sequence with common difference RM30, and the total amount of money that Kevin gave over 20 years period was twice the total amount of money that Billy gave, to calculate the value of A the following calculation must be performed:
Billy = (150 x 20) + 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 + 100 + 110 + 120 + 130 + 140 + 150 + 160 + 170 + 180 + 190 Billy = (150 x 20) + 1900 Billy = 3000 + 1900 Billy = 4900 Kevin = (9800 - (30 + 60 + 90 + 120 + 150 + 180 + 210 + 240 + 270 + 300 + 330 + 360 + 390 + 420 + 450 + 480 + 510 + 540 + 570)) / 20 Kevin = (9800 - 5700) / 20 Kevin = 4100/20 Kevin = 205
Therefore, the value of A is RM 205.
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PLEASE HURRY!!! I WILL GIVE THE BRAINLIEST!!!
Which answer shows the correct steps to solve the equation
a
Subtract 4 from both sides,, multiply by 12 on both sides, subtract 10 from both sides, and divide both sides by 5 to get x=2/5
b
Multiply by 15 on both sides, subtract by 10 on both sides, and divide by 5 on both sides to get x=10
c
Subtract 10 from both sides, multiply by 15 on both sides, and divide by 5 to get x=(-18)
d
Subtract 5x from both sides, subtract 10/15 from both sides, and divide both sides by 5 to get x=10
Answers
Answer:
Answer is B
Step-by-step explanation:
Multiply by 15 on both sides, subtract by 10 on both sides, and divide by 5 on both sides to get x=10
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
Answers
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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19. Fiona rolls a pair of six-sided cubes, each numbered from 1-6, at the same time. What is the probability that Fiona will roll a 6 and a 4?
Answers
the probability of rolling a 6 and a 4 is 1/36 or 2.78%.
The probability of rolling a 6 and a 4 is calculated by taking the number of outcomes that would result in rolling a 6 and a 4 divided by the total number of possible outcomes. To calculate the probability of rolling a 6 and a 4 on a standard six-sided die, we first need to determine the number of outcomes that would result in rolling a 6 and a 4. There is only one way to roll a 6 and a 4 in that order, since each roll is independent of the other and the order matters.There is only one possible outcome that would result in rolling a 6 and a 4 (6,4). There are a total of 36 possible outcomes when rolling two six-sided cubes (6x6). Therefore, the probability of rolling a 6 and a 4 is 1/36 or 2.78%.
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2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
Answers
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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PLEASE HELP 50 Points + award.
Answers
Answer: 2nd first 1st second third 4th fourth 3rd and 5th in 5th
Step-by-step explanation:
14% s a fraction in simplest form
Answers
Answer:
7/50
Step-by-step explanation:
Percent mean per 100.
For example
x percent is x per 100 which can be written as x/100.
Given
14% s a fraction in simplest form
which mean 14 per 100
14/100 = 2*7/2*50
since, 2 is common in numerator and denominator, thus cancelling it
14/100 = 7/50.
Thus, 14% in simplest form can be written as 7/50
a motorist left home at 10 a.m. to travel to a cityof a distance of 260 km he reckoned hecould average 80km/ h at what time would he arrive at the city
Answers
Answer:
He would get there at 1:15 (I did this in my head, may be wrong)
Step by step solution:
We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.
The ultimatum game is a popular research tool for studying topics such as fairness and altruism. The game itself is simple. Two players are told that they will be dividing up a sum of money. One player is designated as the proposer. Her job is to suggest a division of the sum. The second player is designated the responder, and he decides to either accept the proposed division (in which case the division stands and each player is paid accordingly) or to reject the proposed division, in which case both players get nothing.
Part 1 (1 point) See Hint Consider an implementation of the ultimatum game in which the players divide up a pot of $60. To keep the analysis easier, you can assume that all divisions must occur in $1 increments. What is the rational, game-theoretic solution to this game?
A. The proposer suggests a 50/50 division (so each player would get $30), and the responder rejects.
B. The proposer suggests an uneven split favorable to herself (so the proposer would get $36, and the responder would get $24), and the responder accepts.
C. The proposer suggests an uneven split favorable to the other player (so the proposer would get $24, and the responder would get $36), and the responder accepts.
D. The proposer suggests close to an all/nothing split favorable to the other player (so the proposer would get $1, and the responder would get $59), and the responder rejects.
E. The proposer suggests an uneven split favorable to the other player (so the proposer would get $24, and the responder would get $36), and the responder rejects.
F. The proposer suggests close to an all/nothing split favorable to the other player (so the proposer would get $1, and the responder would get $59), and the responder accepts.
G. The proposer suggests an uneven split favorable to herself (so the proposer would get $36, and the responder would get $24), and the responder rejects.
H. The proposer suggests a 50/50 division (so each player would get $30), and the responder accepts.
I. The proposer suggests close to an all/nothing split favorable to herself (so the proposer would get $59, and the responder would get $1), and the responder accepts.
J. The proposer suggests close to an all/nothing split favorable to herself (so the proposer would get $59, and the responder would get $1), and the responder rejects.
Part 2 (1 point) See Hint When this game is played with real people, does the result typically match the game-theory prediction discussed in Part 1? yes no
Answers
Answer:
1. The rational, game-theoretic solution to this game is:
H. The proposer suggests a 50/50 division (so each player would get $30), and the responder accepts.
2. No. When this game is played with real people, the result does not typically match the game-theory prediction discussed in Part 1.
Step-by-step explanation:
Players in a game respond with different strategies, which are usually unknown to the second player. While people are expected to act rationally, most times, they do not. They are propelled by different rationality and preferences. Therefore, players' game strategies are unpredictable.
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