Answers
Answer:
see explanation
Step-by-step explanation:
∠ 1 and ∠ 2 are corresponding angles and are congruent , then
7x - 27 = 4x + 18 ( subtract 4x from both sides )
3x - 27 = 18 ( add 27 to both sides )
3x = 45 ( divide both sides by 3 )
so
∠ 1 and ∠ 2 = 7x - 27 = 7(15) - 27 = 105 - 27 = 78°
∠ 2 and ∠ 3 are corresponding angles and are congruent , then
∠ 3 = 78°
∠ 3 and ∠ 4 are same- side interior angles and sum to 180° , that is
78 + 4y + 2 = 180
4y + 80 = 180 ( subtract 80 from both sides )
4y = 100 ( divide both sides by 4 )
y = 25
thus
∠ 4 = 4y + 2 = 4(25) + 2 = 100 + 2 = 102°
in conclusion
x = 15 , y = 25 , ∠ 1 = 78° , ∠ 4 = 102°
Related Questions
which algebraic expression is represented by the model
Answers
The algebraic expression that is represented by the model is 3x + 2y + 5
What is an equation?An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.
From the model:
Each yellow box, represent x, each blue box represent y and each maroon box represent 1. Hence:
The expression = (x + x + x) + (y + y) + (1 + 1 + 1 + 1 + 1) = 3x + 2y + 5
The algebraic expression is 3x + 2y + 5
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
A survey of statistics undergraduate at prosperity university completed a survey that asked for their verbal and math sat scores. they wanted to predict the verbal score based on the math score. interpret the slope12.78% of the variability of verbal score can be explained by the variation in the math score.A.12.78% of the variability of math score can be explained by the variation in the verbal score.B.As the math score increases by 1 point, the verbal score increases by 12.78 points on average.C.As the verbal score increases by 1 point, the math score increases by 12.78 points on average.D.As the math score increases by 1 point, the verbal score increases by 0.3480 points on average.E.As the verbal score increases by 1 point, the math score increases by 0.3480 points on average.
Answers
The correct option: A. 12.78% of the variability of verbal score that can be explained by the linear regression on the math score.
Correlation coefficient: What is it?A "Statistical measurement" that determines the strength of the correlation between the relative movements for two variables is the correlation coefficient. R is used to denote it, and its range is somewhere between (-1 , 1).Students majoring in statistics at Prosperity University responded to a survey that requested their Verbal as well as Math SAT scores. Depending on the math score, they sought to anticipate the verbal score.
Stated values:
R-Squared was initially 12.78%.The verbal score increases up 12.78 points on average for every point in math scored higher, and vice versa.We must first comprehend what a correlation coefficient is, claims the assertion.
Here, depending on the survey results, they seek to determine the verbal score using the math number (independent variable).
The dependent variable is verbal score.Score in math is an independent variable.r² = 0.1278
r = √0.1278
Statement(1): - 12.78% of the verbal score variability that the linear regression on the mathematics score can account for.
TRUE. The provided model accounts for 12.78% of the variability and the verbal and mathematical scores.
Statement #2: A linear regression just on verbal score can account for 12.78% of the variance in math scores.
FALSE, Since the verbal score rather than the numerical score is the dependent variable.
Statement 3: The verbal significant dimension by 12.78 points for every 1 point improvement in math scores.
FALSE, the determination coefficient does not accurately capture the slope of the a linear model.
Statement (4): A math score increases up 12.78 points for every 1 point that the verbal score goes up on average.
FALSE—the determination coefficient does not accurately capture the slope of the a linear model.
To know more about the Correlation coefficient, here
https://brainly.com/question/4219149
#SPJ4
The correct question is-
A survey of Statistics undergraduate at Prosperity University completed a survey that asked for their Verbal and Math SAT scores. They wanted to predict the verbal score based on the math score. The value of R-Squared was 12.78%. Interpret R-squared.
Group of answer choices
A. 12.78% of the variability of verbal score that can be explained by the linear regression on the math score.
B. 12.78% of the variability of math score that can be explained by the linear regression on the verbal score.
C. As the math score increases by 1 point on average, the verbal score increases by 12.78 points.
D. As the verbal score increases by 1 point on average, the math score increases by 12.78 points.
a bag contains 9 blue marbles and 1 green marble. what is the probability of drawing a blue marble (no replacement) followed by a green marble?
Answers
The probability of drawing a blue marble (no replacement) followed by a green marble is 2/207
Total marbles: 2 + 9 + 18 + 10 + 7 = 46
In the first scenario, the likelihood of getting a red marble is 2/46=1/23.
Since there are now 45 marbles, the probability of drawing a purple marble in the second scenario is 10/45, or 2/9.
Therefore, the likelihood of taking out a red marble in the first scenario, failing to replace it, and taking out a purple marble in the second scenario is 1/23 * 2/9.
Therefore, the likelihood of removing a red marble in the first scenario, choosing not to replace it and removing a purple marble in the second scenario
=2/46 x 10/45
=1/23 x 2/9
=2/207
Know more about probability
https://brainly.com/question/13604758
#SPJ4
The ratio of the measures of the angles in a triangle is 8:3:4. Find the measure of the largest angle.
BOTH QUESTIONS IN THE PICTURE
Will give brainliest !!!
Answers
Answer:
Only can do the first one
Let's call the measures of the angles in the triangle x, 3x, and 4x.
According to the ratio, we have:
x : 3x : 4x = 8 : 3 : 4
To find the value of x, we can set up a proportion:
8/x = 3/(3x) = 4/(4x)
Cross multiplying, we get:
8x = 12
So, x = 12/8 = 3
Therefore, the measures of the angles in the triangle are 3x, 3(3x), and 4(3x).
The measure of the largest angle is 4x = 4(3) = 12.
the u shaped curve created by a quadratic equation
Answers
Answer: it is called a parabola
Step-by-step explanation:
there are 48 students in the kennedy middle school student council. the number of 8th graders is 12 fewer than three times the number of 7th graders
Answers
Answer:
3 * 15 - 12 = 33 So, the equation is saying that the result of 3 times 15 minus 12 is equal to 33.
Step-by-step explanation:
Let's call the number of 7th graders "x". Then, the number of 8th graders is 3 * x - 12.
The total number of students in the student council is 48, so we can set up an equation:
x + (3 * x - 12) = 48
Expanding and simplifying:
4x - 12 = 48
Adding 12 to both sides:
4x = 60
Dividing both sides by 4:
x = 15
So, there are 15 7th graders and 3 * 15 - 12 = 33 8th graders in the Kennedy Middle School student council.
Answer: 36 8th graders and 12 7th graders
Step-by-step explanation:
48-12=36
36 divided by 3=12
With this information, 12 7th graders and 36 8th graders
of the 800 students at a certain college, 250 students live on campus and are more than 20 years old. how many of the 800 students live on campus and are 20 years old or less? (1) 640 students at the college are more than 20 years old. (2) 60 students at the college are 20 years old or less and live off campus.
Answers
As per the concept of permutation 100 out of the 800 students at the college live on campus and are 20 years old or less.
A permutation is the arrangement of objects in a specific order. In this problem, we are trying to find the number of students who live on campus and are 20 years old or less.
From the information given, we know that 250 students live on campus and are more than 20 years old. If there are 800 students in total at the college, then the number of students who are not living on campus is
=> 800 - 250 = 550.
We also know that 640 students at the college are more than 20 years old. This means that the number of students who are 20 years old or less is
=> 800 - 640 = 160.
Finally, we know that 60 students at the college are 20 years old or less and live off campus.
So, the number of students who live on campus and are 20 years old or less is
=> 160 - 60 = 100.
To know more about permutation here.
https://brainly.com/question/1216161
#SPJ4
What is -a^-2 if a=-5?
Answers
Answer:
-0.04ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ
Answer:
1/-25
Step-by-step explanation:
First we plug it in
-(-5)^-2
Then since the exponent is negative, we take the equation and put it under one which makes it a positive.
1/-(-5)^2
Then we solve the exponent
1/-(25)
Since it's a negative outside the parenthesis we treat it as multiplying it by -1 in which case we'd get
1/-25
a friend tells you that she has a total of three hours available to study for an exam next week. you should advise her to
Answers
You should advise her to divide the three hours into smaller, more manageable study sessions with breaks in between for maximum productivity and retention.
When studying for an exam, it's important to prioritize effectiveness over efficiency. Spending three hours straight on studying can lead to burnout and decreased retention. Instead, you can suggest dividing the time into shorter, more manageable study sessions of 50–60 minutes with 10-15 minute breaks in between. This way, your friend can focus on one topic at a time, recharge during the break, and avoid mental fatigue.
It's important to encourage your friend to take care of their physical and emotional well-being by eating well, getting enough sleep, and finding ways to reduce stress. These habits can help improve their overall focus and performance during their study sessions.
Learn more about effective study here: brainly.com/question/18949374
#SPJ4
a survey of consumers in a particular community showed that 10% were dissatisfied with plumbing jobs done in their homes. half the complaints dealt with plumber a, who does 40% of the plumbing jobs in the town. find the probability that a consumer will obtain a an unsatisfactory plumbing job, given that the plumber was a. b a satisfactory plumbing job, given that the plumber was a.
Answers
The probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.
To find the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A, we first need to determine the proportion of plumbing jobs done by Plumber A that result in consumer dissatisfaction.
Given that half the complaints dealt with Plumber A and that Plumber A does 40% of the plumbing jobs in the town, we can calculate this proportion as follows:
Proportion of unsatisfactory plumbing jobs done by Plumber A = (Half the complaints / Total number of plumbing jobs done by Plumber A)
= (Half the complaints / 40% of the total plumbing jobs in the town)
= (Half of 10% / 40%)
= 10% / 2 / 40% = 1 / 4 = 0.25
Therefore, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25.
To find the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A, we subtract the probability of obtaining an unsatisfactory plumbing job from 1:
Probability of a satisfactory plumbing job given that the plumber was Plumber A = 1 - Probability of an unsatisfactory plumbing job
= 1 - 0.25
= 0.75
Therefore, the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75.
In conclusion, given that Plumber A does 40% of the plumbing jobs in the town and that half the complaints dealt with Plumber A, the probability that a consumer will obtain an unsatisfactory plumbing job given that the plumber was Plumber A is 0.25, and the probability that a consumer will obtain a satisfactory plumbing job given that the plumber was Plumber A is 0.75. These probabilities can be used to make informed decisions about which plumber to choose for plumbing jobs in the community.
To know more about probability: https://brainly.com/question/11234923
#SPJ4
Why do you think it is important to consider both salary and benefits when applying for a job? Dave Ramsey video notes
Answers
Answer:
Ramsey Solutions pays an average salary of $84,233 and salaries range from a low of $72,978 to a high of $96,811. Individual salaries will, of course, vary depending on the job, department, location, as well as the individual skills and education of each employee.
9 subtracted from twice of x gives 5 time x
Answers
Answer:
x = -3.
Step-by-step explanation:
2x - 9 = 5x
2x - 5x = 9
-3x = 9
x = -3.
How do I solve this question?
Answers
The percentage of total budget for insurance, housing and entertainment is 3%. 13.3% and 4% respectively.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
The total budget given is $4100 for the month.
The percentage of total budget for insurance is:
123/ 4100 (100) = 3%
The percentage of total budget for housing is:
574/ 4100 (100) = 13.3%
The percentage of total budget for entertainment is:
164/4100 (100) = 4%
Hence, the percentage of total budget for insurance, housing and entertainment is 3%. 13.3% and 4% respectively.
Learn more about percentage here:
https://brainly.com/question/29306119
#SPJ1
Dana tried to evaluate an expression. Here is her work:
45 [(4 + 3) (60 ÷ 12 - 2)]
-
=
= 45 [7 (60+ 10)]
= 45 - [7.6]
= 45 - 42
= 3
Is Dana's work correct?
Step 1
Step 2
Step 3
Step 4
Answers
Dana is not correct, she has done mistake in the second step.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 45 [(4 + 3) (60 ÷ 12 - 2)]
45 [(4 + 3) (60 ÷ 12 - 2)]
The first step is 45 [7 (60÷ 10)], it is correct
The second step 45- [7.6] is wrong because 45 is a multiple of [7 (60÷ 10)]
45(42)
When we multiply 45 with 42 we get
1890
Hence, Dana is not correct, she has done mistake in the second step.
To learn more on Expressions click:
https://brainly.com/question/14083225
#SPJ1
Directions: Based on the information given in the following problem, compute the gross pay.
Regular hours worked: 40
Overtime hours worked: 8
Regular rate of pay: $7.75 per hour
gross pay: $
Answers
The gross pay based on the given information is $372.
What is gross pay?Gross Salary is the amount of salary after adding all benefits and allowances but before deducting any tax, Net Salary is the amount that an employee takes home.
Given that, regular hours worked: 40 and overtime hours worked: 8.
Regular rate of pay: $7.75 per hour
So, gross pay = 40×7.75+8×7.75
= $372
Therefore, the gross pay is $372.
Learn more about the gross pay here:
https://brainly.com/question/14690804.
#SPJ1
5 is more than a number is greater than or equal to 27
Answers
5 more than a number is greater or equal to 27
The "number" can be represented as x.
[tex]\boxed{x+5\geq 27}[/tex]
Which statement is true about the triangle? Question 8 options: w = 99°, because 42 + 39 = 81 and 180 – 81 = 99. w = 261°, because 42 + 39 = 81 and 18 + 81 = 261. w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81. None of the above.
Answers
Answer c
w = 81°, because 180 – (42 + 39) = 99 and 180 – 99 = 81
Step-by-step explanation:
The statement which true about the triangle is a) w = 99°, because 42 + 39 = 81 and 180 – 81 = 99.
What is TriangleA triangle is a shape consisting of 3 sides and 3 vertices (180º total) of a straight line. As early as 300 BC, Euclid had come up with the concept that the sum of three angles is 180°. This makes great contributions to the concept of shapes, such as finding the lengths of their sides and angles.
A triangle is a polygon with three sides and three vertices. It is one of the basic shapes in geometry with vertices A, B and C represented as triangle ABC.
In Euclidean geometry, every three points define a unique triangle and a unique plane (that is, two-dimensional Euclidean space) when they do not collide. In other words, only one plane contains its sides, and every triangle contains many faces. If the whole geometry is just Euclidean planes, there is only one plane and everything is contained within it; however, in high-dimensional Euclidean space, this is no longer true.
Learn more about triangle at
https://brainly.com/question/9155927
#SPJ1
In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total
number of gold medals won by these three countries is three consecutive integers whose sum is 39, find the number of
gold medals won by each.
Answers
The number of gold won by Korea is 12
The number of gold won by Italy is 13
The number of gold won by France is 15
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of gold won by Korea = x
Number of gold won by Italy = x + 1
Number of gold won by France = x + 2
Now,
The total number of gold medals won by these three countries is three consecutive integers whose sum is 39.
This means,
x + x + 1 + x + 2 = 39
3x + 3 = 39
3x = 39 - 3
3x = 36
x = 12
Thus,
Number of gold won by Korea = 12
Number of gold won by Italy = 13
Number of gold won by France = 15
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
Convert each equation to slope intercept form, then determine if the lines are parallel, perpendicular, or neither(intersecting).
A) 2x + 3y = 9
B) 2y - 3x = 8
Answers
The slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.
What is the slope intercept form of an equation of a line?The meaning of slope intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.
Given that two equations, we need to find their slope intercept form, and determine if the lines are parallel, perpendicular, or neither (intersecting).
The given equations are;
A) 2x + 3y = 9
B) 2y - 3x = 8
The general equation of a line, in a slope intercept form, is given by,
y = mx + c, where m is the slope of the line and c is the y-intercept,
A) 2x + 3y = 9
3y = 9-2x
y = -2x/3 + 3....(i)
B) 2y - 3x = 8
2y = 3x+8
y = 3x/2 + 4.....(ii)
Here, the slope are -2/3 and 3/2, we can say that both the slopes are negative reciprocal of each other,
We know that slopes of two perpendicular lines are negative reciprocal of each other,
Therefore, the given two line are perpendicular to each other.
Hence, the slope-intercept form of the equations are y = -2x/3 + 3 and y = 3x/2 + 4 and the line are perpendicular to each other.
Learn more about slope intercept form, click;
https://brainly.com/question/24683642
#SPJ1
I need help with this question
Answers
The mean absolute deviation of the numbers will be 3.5.
What is a mean absolute deviation?The average distance between the data points and a centre point is referred to as absolute deviation. (|xi - x|)/N is the formula for mean absolute deviation. N is the number of terms in the sample, where xi is the sample's individual value and x is the sample's mean or average.
Mean = ( 4 + 15 + 8 +4 + 6 + 11 + 1 + 7 + 3 1 ) / 10
Mean = 57 / 10
Mean = 5.7
The mean absolute deviations are calculated as:-
[tex]MAD = \dfrac{\sum{(X - \bar X)}}{n}[/tex]
MAD = 34 / 10
MAD = 3.4
Hence, the value of the mean absolute deviation is 3.4.
To know more about mean absolute deviation follow
https://brainly.com/question/447169
#SPJ1
suppose max owns a light bulb manufacturing company and deter- mines that 3 out of every 75 bulbs are defective. let x be the number of light bulbs tested until he gets a defective for the first time. (a) determine the pmf of x. (b) find the expected number of the light bulbs tested until he gets a defective for the first time.
Answers
a) The pmf of x is a geometric distribution,[tex]p(x) = (3/75)(72/75)^(x-1).[/tex]
b) The expected number of bulbs tested until he gets a defective for the first time is 25.
a) The probability of success (getting a non-defective bulb) is 72/75 and the probability of failure (getting a defective bulb) is 3/75. The pmf of x is a geometric distribution, [tex]p(x) = (3/75)(72/75)^(x-1)[/tex]. This means that the probability of success P is multiplied by [tex](1-P)^(x-1)[/tex] for each x value. b) The expected number of bulbs tested until he gets a defective for the first time is 25. This can be calculated as the sum of all x values multiplied by the corresponding pmf values: [tex]E(x) = Σ x p(x) = 3/75 + 24/75 + 48/75 + 72/75 + ... = 25[/tex].
Learn more about number here
https://brainly.com/question/29546604
#SPJ4
Please help thank u!!
Answers
Answer:
see below
Step-by-step explanation:
shift B right by 4units & up by 2 units to have point B overlap point A so the 2 circles center will be overlapped
4. Ron is using the following formula to predict
the population of dolphins in the Galapagos
P = 2000(1.2)^t
Islands each year:
Question a): What is the initial value of this
exponential equation?
Question b): What is the constant percentage
growth rate of the loan per year?
Question c): What is the growth factor of the
loan per year?
Answers
The initial value is 2000
The constant percentage growth rate is 20%
The growth factor is 1.2
How to find the initial valueExponential function is a type of function of the form: f(x) = a(b)^x. It is made up of 3 main parts
a = the starting or initial value
b = the base function
x = the exponents
Considering the given problem, P = 2000(1.2)^t
the initial value = 2000
the base = 1.2
the exponents = t
The base is what says whether it will be an exponential growth or decay. For values of the base greater than 1 is exponential growth
Learn more about exponential function here:
https://brainly.com/question/29716012
#SPJ1
evaluate the function when x = -2,0, and 5
f(x) = x + 6
Answers
The value of function at x = - 2 is, 4
The value of function at x = 0 is, 6
The value of function at x = 5 is, 11
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function is,
⇒ f (x) = x + 6
Now, Substitute x = -2 in above equation,
⇒ f (x) = x + 6
⇒ f (-2) = -2 + 6
⇒ f (-2) = 4
Substitute x = 0 in above equation,
⇒ f (x) = x + 6
⇒ f (0) = 0 + 6
⇒ f (0) = 6
Substitute x = 5 in above equation,
⇒ f (x) = x + 6
⇒ f (5) = 5 + 6
⇒ f (5) = 11
Thus, The value of function at x = - 2 is, 4
The value of function at x = 0 is, 6
The value of function at x = 5 is, 11
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
In a class of 25 students, 24 of them took an exam in class and 1 student took a make-up exam the following day. The professor graded the first batch of 24 exams and found an average score of 74 points with a standard deviation of 8.9 points. The student who took the make-up the following day scored 64 points on the exam.1. Does the new student's score increase or decrease the average score? ? Increase Decrease2. What is the new average? Answer to four decimal places.3. Does the new student's score increase or decrease the standard deviation of the scores? ? Increase Decrease
Answers
Since the new score is below the current average score, it sure decreases the average score.
What is the probability of a score falling above or below the mean?Regardless of what a normal distribution looks like or how big or small the standard deviation is, approximately 68 percent of the observations (or 68 percent of the area under the curve) will always fall within two standard deviations (one above and one below) of the meanOne approach is the percentile rank. The percentile rank of a score is the percentage of scores in the distribution that are lower than that score. Percentiles are useful for comparing values.Soft inquiries such as viewing your own credit report will not affect your FICO Score. Hard inquiries such as actively applying for a new credit card or mortgage will affect your score
To learn more about probability of a score refers to:
brainly.com/question/25638875
#SPJ4
Proving Rectangles, Rhombi, and Squares in the Coordinate Plane
Classify as the most specific shape possible
1. A(8,3) B(7,8) C(2,7) D(3,2)
What formulas do I use to solve this? (My own question not in text)
Answers
The most specific shape is rhombus for the co-ordinates A(8,3) B(7,8) C(2,7) D(3,2).
What is a rhombus?A rhombus is one type of parallelogram and has 4 sides and 4 vertices.
Every side is equal in length and opposite angles are equal.
We have four co-ordinates,
A(8,3) B(7,8) C(2,7) D(3,2).
The length of the segment AB = √{(8 - 7)² + (3 - 8)²} = √26 units.
The length of the segment BC = √{(7- 2)² + (8- 7)²} = √26 units.
The length of the segment CD = √{(2 - 3)² + (7 - 2)²} = √26 units.
The length of the segment AD = √{(8 - 3)² + (3 - 2)²} = √26 units.
That means, all the sides are equal.
Now, let the slope of AC = slope of BD
(7 - 3)/(2 - 8) ≠ (2 - 8)/(3 - 7)
The slope of the diagonal is not equal.
Therefore, the shape is rhombus.
To learn more about the rhombus;
https://brainly.in/question/1239543
#SPJ1
The assets and liabilities of a doctor are listed below.
Home Value $492,456
Mortgage $287,763
Credit Card Balance $3,458
Owned Work Equipment $20,267
Car Value $15,981
Investments $62,309
Personal Loan $38,924
What is the total value of the doctor's capital assets?
$20,267
$62,309
$528,704
$591,013
Answers
Answer:
Hi! The answer is $591,013
aka D!
Step-by-step explanation:
A capital asset is property that is expected to generate value over a long period of time, such as a building, machinery, and vehicles.
If 55% of a number is 176 and 35% of the same number is 112, find 90% of that number.
Answers
Answer:
288
Step-by-step explanation:
175 times 100 divided by 55 = 320
320 times .9 = 288
Answer: your answer would be 288
Step-by-step explanation:
There is a strong positive correlation between the number of umbrellas sold in a town and the water levels in nearby rivers.
What is a possible reason for why this correlation exists?
Question 9 options:
A melting glacier upstream of the rivers
A large number of tourists in the area
A new shopping mall opened in the area
High levels of rainfall
Answers
A possible reason for the strong positive correlation is high levels of rainfall. (fourth option)
What is correlation?Correlation is a measure used in statistics to measure the linear relationship that two variables have.
When two variables have a positive correlation, it means that the two variables move in the same direction. In this question, the number of umbrellas sold increase when water levels in streams increase. An reason for this could be that the increased water levels lead to higher rate of rainfall which would lead to people buying more umbrellas.
To learn more about correlation, please check: https://brainly.com/question/27246345
#SPJ1
Both trapezoids are similar. The area of the larger trapezoid is 61 ft? Which is the best approximation for the area of the smaller trapezoid?
Answers
The area of the smaller trapezoid is 39 ft².
What is Similarity?Two figures are said to be similar if they share the same shape. Congruent objects are those that are precisely the same size and shape.
Given:
The area of the larger trapezoid is 61 ft².
and, side of smaller trapezium, a = 24 feet
side of larger trapezium, b = 30 feet
So, Area of the larger trapezoid / Area of the smaller trapezoid = b² /a²
61 / Area of the smaller trapezoid = 30² / 24²
Area of the smaller trapezoid = 39 ft²
Learn more about similarity here:
https://brainly.com/question/26451866
#SPJ1