Part 2: Based on this equation estimate the shoulder height for An elephant whose foot length is 45cm (IN CM)
Answers
The linear function that describes the given model is given as follows:
A. y = 6x - 20.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.Two points of the linear function on the graph are given as follows:
(10,40) and (60, 340).
When x increases by 50, y increases by 300, hence the slope m is given as follows:
m = 300/50
m = 6.
Hence:
y = 6x + b.
When x = 10, y = 40, hence the intercept b is obtained as follows:
40 = 6(10) + b
b = 40 - 60
b = -20
Hence the equation is:
y = 6x - 20.
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Related Questions
This is for today someone help me!!!!
Answers
Answer: HI HI HI HI HI
use the order of operations to simplify 43/5 + 15 / 5 - 1/5.
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Since all of the denominators are the same, we don’t need to change anything. First is addition, so when we add 43/5 + 15/5, we get 58/5. Then we subtract 58/5 - 1/5, and we get 57/5 as the final answer.
Find a positive and a negative coterminal angle for 50 degrees
Answers
Answer: To find the coterminal angle of a 50° angle, add 360°. It would follow that 50°+360°=410°. A 410° angle is illustrated below. From the graphical representation of the angle, we can conclude that these two angles do indeed share the same terminal side, meaning they are coterminal.
Step-by-step explanation:
The positive and negative coterminal angle for 50 degrees are 410 degrees and -310 degrees respectively.
What is coterminal angle?'Coterminal angles are the angles that have the same initial side and share the terminal sides.'
According to the given problem,
To find positive coterminal angle, we have to add 360 degrees to it,
⇒ 50 + 360 = 410 degrees.
To find negative co terminal angle, we have to subtract 360 degrees from it,
⇒ 50 - 360 = -310 degrees.
Hence, we can conclude that 410 degrees and -310 degrees are the coterminal angle for 50 degrees.
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In every box of bubble gum there are 18 pieces, which describes a proportional relationship between the number of packages, x, and the number of pieces, y. Choose the equation that expresses this relationship.
Answers
Answer:
Thats nice
Step-by-step explanation:
6 ft. 12 ft. 8 ft. The area of this irregular figure is sq. ft. 16 ft
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Answer:
Step-by-step explanation:
I believe it is 26?
Write the inequality statement that shows the relationship between all of the following shoe sizes: 7 ½ , 12, 10
Answers
Answer:
7.5 < 10 <1 2
Step-by-step explanation:
The order of this shows them from least to greatest using the inequality symbols.
How to find the domain of a function algebraically.
Answers
Answer:
we make the denominator equal to zero then we get the domian
In an examination, Tarang got 25% marks and failed by 64 marks. If he had got 40% marks he would have secured 32 marks more than the pass marks. Find the percentage of marks required to pass..
Answers
Answer:
224
Step-by-step explanation:
Total marks = x
x * 25% + 64 = x * 40% - 32
x * 15% = 96
x = 640
Maximum Marks = 640..
Marks Scored = 25% of 640
= 160
Marks Required to pass = 160 + 64
= 224
Complete the table for y=1/2x-3
Answers
Tables are created by substitute a set of input values into the function to create outputs. The required table is as shown below
x | y
0 -3
1 -2.5
2 -2
Tables and valuesTables are created by substitute a set of input values into the function to create outputs
Using x = 0, 1 and 2 as the input values
Given the function
y = 1/2x - 3
If x = 0
y = 1/2(0) - 3
y = -3
If x = 1
y = 1/2(1) - 3
y = -2.5
If x = 2
y = 1/2(2) - 3
y = -2
Hence the required table is as shown below
x | y
0 -3
1 -2.5
2 -2
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imagine that you are taking a multiple-choice quiz written in swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...
Answers
The probability of answering the first question correctly is 0.2.
The first two questions correctly, 0.04
Incorrectly answer the first 3 correctly, 0.512
Incorrectly answer the first 4 correctly, 0.41
How to calculate probability?The probability of answering each question correctly is 1/5 = 0.2. The probability of answering incorrectly is 4/5 = 0.8.
Therefore, the probabilities for each scenario are:
Answer the first question correctly: 0.2
Answer the first 2 questions correctly: 0.2 x 0.2 = 0.04
Incorrectly answer the first 3 questions correctly: 0.8 x 0.8 x 0.8 = 0.512
Incorrectly answer the first 4 questions correctly: 0.8 x 0.8 x 0.8 x 0.8 = 0.41
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The complete question is:
imagine that you are taking a multiple-choice quiz written in Swedish and must guess randomly. each question has 5 choices and 1 correct answer. calculate the probability that you...answer the first question correctly. Correct answer the first 2 questions correctly. Incorrect answer the first 3 questions correctly. Incorrect answer the first 4 questions correctly.
(HELP PLEASE) The Converse of the Pythagorean Theorem states that: (chose one)
A. if a2+b2=c2, then the triangle is a right triangle.
B. if a2+b2=c2, then the triangle is not a right triangle.
C. if the triangle is not a right triangle, then a2+b2≠c2.
D. if the triangle is a right triangle, then a2+b2=c2
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The wording is if the equation is true then it would be a right triangle
The answer is
A. if a2+b2=c2, then the triangle is a right triangle
Answer:
A. if a2+b2=c2, then the triangle is a right triangle.
Step-by-step explanation:
Plz help!!!! It’s due today
Answers
Answer:
1. British colonies. i think im not sure sorry
Use the x-intercept method to find all real solutions of the equation.
x? - 7x2 + 4x + 12 = 0
Answers
Correct equation is;
x³ - 7x² + 4x + 12 = 0
Answer:
All the real solutions are -1, 2 and 6
Step-by-step explanation:
The x-intercept of x³ - 7x² + 4x + 12 = 0 will occur where y is zero. This is where the curve crosses the x-axis on the graph of this function.
Now, I have plotted a graph of this function and attached it.
From the attached image, the curve crosses the x - axis at the points, x = -1, x = 2, x = 6.
Therefore all the real solutions are -1, 2 and 6
Which of the following are like terms?
7x
3
7y
8x
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please answer this question
Answers
The required net for the cube of side length 2 cm has been shown.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
A cube of side length 2 cm is given we have to draw the net for the given cube.
So first we calculate the surface area,
surface area of the cube = 6 [a]²
surface area = 6 (2)² = 24 cm²
Now as the cube has 6 faces, unbind the cube on the coordinate plate.
Thus. the required net for the cube has been shown.
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_ is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.
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Probability distribution is an assignment of probabilities to each distinct value of a discrete random variable or to each interval of values of a continuous random variable.
What is Probability ?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.What is the probability of each value of a discrete random variable?
The probability P(x) that a discrete random variable X will take the value x in one trial of the experiment is connected to each possible value x of the variable.
Which is a discrete random variable?
A discrete variable is one that is random. if the number of possible values is either countable or finite. Continuous refers to a variable that is random. if the range of possible values includes all possible numbers.What is the other name of mean of discrete random variable?
A discrete random variable's probability distribution is a table of the probabilities connected to each of its potential values. The probability function or probability mass function are other names for it.Learn more about Probability
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Greatest common factor for 16uv^8 and 28u^7v^2y^3
Answers
Answer: 3
Step-by-step explanation:
I think…
Given a normal distribution with u = 100 and o= 10, complete parts (a) through (d).
a. What is the probability that X> 85? The probability that X> 85 is_____(Round to four decimal places as needed.) b. What is the probability that X<80? The probability that X < 80 is ____(Round to four decimal places as needed.) c. What is the probability that X<90 or X> 130? The probability that X<90 or X> 130 is ____ (Round to four decimal places as needed.) d. 99% of the values are between what two X-values (symmetrically distributed around the mean)? 99% of the values are greater than __ and less than _(Round to two decimal places as needed.)
Answers
To solve the given problems, we'll use the properties of the normal distribution with mean μ = 100 and standard deviation σ = 10.
a. Probability that X > 85:
To find this probability, we need to calculate the area under the normal curve to the right of 85. We can use the standard normal distribution table or a calculator to find the corresponding z-score and then use the z-table to find the probability.
First, let's calculate the z-score:
z = (X - μ) / σ
z = (85 - 100) / 10
z = -15 / 10
z = -1.5
Using the z-table or a calculator, we find that the probability of Z > -1.5 is approximately 0.9332.
Therefore, the probability that X > 85 is 0.9332 (rounded to four decimal places).
b. Probability that X < 80:
Similarly, we'll calculate the z-score for X = 80:
z = (X - μ) / σ
z = (80 - 100) / 10
z = -20 / 10
z = -2
Using the z-table or a calculator, we find that the probability of Z < -2 is approximately 0.0228.
Therefore, the probability that X < 80 is 0.0228 (rounded to four decimal places).
c. Probability that X < 90 or X > 130:
To calculate this probability, we'll find the individual probabilities of X < 90 and X > 130, and then subtract the probability of their intersection.
For X < 90:
z = (90 - 100) / 10
z = -10 / 10
z = -1
Using the z-table or a calculator, we find that the probability of Z < -1 is approximately 0.1587.
For X > 130:
z = (130 - 100) / 10
z = 30 / 10
z = 3
Using the z-table or a calculator, we find that the probability of Z > 3 is approximately 0.0013.
Since these events are mutually exclusive, we can add their probabilities:
P(X < 90 or X > 130) = P(X < 90) + P(X > 130)
P(X < 90 or X > 130) = 0.1587 + 0.0013
P(X < 90 or X > 130) = 0.1600
Therefore, the probability that X < 90 or X > 130 is 0.1600 (rounded to four decimal places).
d. 99% of the values are between what two X-values (symmetrically distributed around the mean)?
To find the two X-values, we need to find the corresponding z-scores for the cumulative probabilities of 0.005 and 0.995. These probabilities correspond to the tails beyond the 99% range.
For the left tail:
z = invNorm(0.005)
z ≈ -2.576
For the right tail:
z = invNorm(0.995)
z ≈ 2.576
Now we can find the corresponding X-values:
X1 = μ + z1 * σ
X1 = 100 + (-2.576) * 10
X1 = 100 - 25.76
X1 ≈ 74.24
X2 = μ + z2 * σ
X2 = 100 + 2.576 * 10
X2 = 100 + 25.76
X2 ≈ 125.76
Therefore, 99% of the values are greater than 74.24 and less than 125.76 (rounded to two decimal places).
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.Write and solve a system of equations to solve the following problem. Show your work. The talent show committee sold a total of 200 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1200 , how many of each type of ticket were sold?
please hurry need solved quick
Answers
This means that no student tickets were sold and all 200 tickets sold were adult tickets
What is system of equations ?
A system of equations is a set of two or more equations that are to be solved simultaneously. In other words, a system of equations is a collection of equations that must be satisfied by the same variables. The solution to a system of equations is the set of values for the variables that satisfy all of the equations in the system.
Let's use the following variables to represent the number of student and adult tickets sold:
s: number of student tickets sold
a: number of adult tickets sold
We can write a system of two equations based on the information given in the problem:
Equation 1: s + a = 200 (total number of tickets sold)
Equation 2: 3s + 4a = 1200 (total receipts from ticket sales)
We can now use the first equation to solve for one of the variables in terms of the other. For example, we can solve for s as follows:
s + a = 200 => s = 200 - a
Now we can substitute this expression for s into the second equation and solve for a:
3s + 4a = 1200 => 3(200 - a) + 4a = 1200
Expanding and simplifying:
600 - 3a + 4a = 1200 => a = 300
So we have found that 300 adult tickets were sold. We can now use Equation 1 to find the number of student tickets sold:
s + a = 200 => s + 300 = 200 => s = -100
This result doesn't make sense because we can't have negative tickets, so we must have made a mistake. However, we can notice that the equation we used to solve for s in terms of a is equivalent to:
a = 200 - s
This is the same as Equation 1, but solved for a instead of s. If we use this equation instead, we get:
3s + 4a = 1200 => 3s + 4(200 - s) = 1200
Expanding and simplifying:
800 - s = 1200 => s = 400
So we have found that 400 student tickets were sold. Using Equation 1, we can find the number of adult tickets sold:
s + a = 200 => a = 200 - s => a = 200 - 400 => a = -200
Once again, we have obtained a negative number, so we made another mistake. However, we can notice that if we solve Equation 2 for s instead of a, we get:
s = (1200 - 4a) / 3
Substituting this expression for s into Equation 1, we get:
(1200 - 4a) / 3 + a = 200
Multiplying both sides by 3:
1200 - 4a + 3a = 600 => a = 200
So we have found that 200 adult tickets were sold. Using Equation 1, we can find the number of student tickets sold:
s + a = 200 => s = 200 - a => s = 200 - 200 => s = 0
Therefore, 200 adult tickets and 0 student tickets were sold.
In summary:
s = 0
a = 200
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1) You flip a coin twice. Determine if the following two events are independent or dependent:
Flipping a heads the first time and flipping a tails the second time.
Answers
Answer:
independent
Step-by-step explanation:
what is the sum of (5c+9)+(8b-2)+(2m+7)
Answers
Answer:
5c + 8b + 2m + 14
General Formulas and Concepts:
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(5c + 9) + (8b - 2) + (2m + 7)
Step 2: Simplify
Combine like terms (Z): 5c + 8b + 2m + 14Answer:
8b + 5c +2m+ 14
Step-by-step explanation:
Easy Grade 7 Math
First answer will be marked brainliest (has to have explanation)
Find the value of X! Thanks so much for your help :) Picture above
Answers
Answer:
Step-by-step explanation:
Angles x and z are supplementary, meaning that they add up to 180. From the markings on the diagram, angle z and the angle measuring 20 are complementary, meaning they add up to 90. So the game plan is to find out the measure of angle z first, then use that to find the measure of angle x.
angle z = 90 - 20 so
angle z = 70 degrees. And
angle z + angle x = 180. Subbing in our value for z:
70 + angle x = 180 and
angle x = 180 - 70 so
angle x = 110 degrees
if a = b and b = c then a = c. true or false
Answers
Answer: true
Step-by-step explanation:
Answer: True
Step-by-step explanation: Has to be true if a b and c are all numbers
How do you score 102 students play at least once by there is 40% of the students at the school how many students are at the school
Answers
If 102 students at least plays one sport and this is 40% of the students at the school, then there 255 students at the school
Let's assume that the total number of students in the school is "x".
40 percentage of the students at the school play at least one sport. So, the number of students who play at least one sport is 0.4x.
We also know that the number of students who play at least one sport is 102. Therefore, we can write:
0.4x = 102
Move 0.4 to the right hand side of the equation
x = 102 / 0.4
Divide the numbers
x = 255
Therefore, there are 255 students at the school.
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how do I change 66 2/3% into a fraction and a decimal. *no file links. I will report*
Answers
Answer:
Decimal form : 66.67
Fraction form: 66 and 2 thirds / 100
Sam paid 75 for 15hamburgers what is the unit price of one hamburger
Answers
The cost of one hamburger is 5
look at the attached picture
Hope it will help you
Good luck on your assignment
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15 burgers = 75
Divide by 15 to get the price of 1
1 burger = 5
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A student wonders if people of similar heights tend to date each other. She measures herself, her dormitory roommate, and the women in the adjoining rooms, then she measures the next man whom each woman dates. Here are the data (heights in inches): Women: 64 65 65 66 66 70 Men: 68 68 69 70 72 74 Determine whether each of the following statements is true (T) orfalse (F). (a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger. (b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date. (c) There is a positive association between the heights of men and women.
Answers
Answer:
(a) False
(b) False
(c) True
Step-by-step explanation:
(a) If we had measured the heights of the men and women in centimeters (1 inch= 2.54 cm), the correlation coefficient would have been 2.54 times larger.
No, since changing the units of measurement does not change the correlation coefficient
(b) There is a strong negative association between the heights of men and women because women are always smaller than the men they date.
Negative association means that as one variable increases, the other decreases, Here, we see that as the heights of the men increase, the height of the women do not reliably decrease, hence there is no strong negative asscoiation
(c) There is a positive association between the heights of men and women.
We see from the values given that as the heights of men increase, so do the heights of women and vise versa, so there is a positive association between the heights of men and women
which of the following is considered diversity? select one: a. life experiences b. educational background c. where someone is from d. how old someone is e. all of these
Answers
Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.
Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.
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Pablo works as a tutor and gets paid 6 an hour complete the table and graph to showthis relationship
Answers
Answer: Total Pay = 6X
Step-by-step explanation: This assunes the question wants to know how to calculate Pablo's earning for a given tutoring time.
Pablo's rate is $6/hr. Set X to the number of hours of tutoring. Pablo's total pay would be:
Total Pay = 6X
The initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week.
What is the number of views expected to be four weeks from nown
Round to the nearest whole number
Answers
Explanation: 22% of 15 is 3.3 so if it stays at the same rate percentage for four weeks you will get 13.2 and if you add 13.2 to the original rate of 15 you will get 28.2 views