Answer:
1. 4
2. rise = 2; run = 1; slope = 2
3. y = 2x + 4
Step-by-step explanation:
1. Look at the graph. On the y-axis, the line passes through 4. The line crosses the y-axis at 4, so 4 is the y-intercept, and b = 4 in the equation y = mx + b.
2. Choose any two points on the line. I choose the y-intercept, (0, 4) and point (-1, 2).
slope = rise/run
We need to go from point (-1, 2) to point (0, 4) by only moving vertically and horizontally. Start at (-1, 2). Go up 2 units. That is a ris of 2. Now go right 1 unit to arrive at point (0, 4). that is a run of 1.
slope = rise/run = 2
3. We have b = 4, and m = 2.
y = mx + b
y = 2x + 4
Rachel bought a sheet of fifty 34-cent stamps from the post office. she paid for the stamps with a $20 bill. how much money should she get back?
A bookstore offered mystery bags each containing 12 books. The quantity of each type of book was the same in
each mystery bag. A shopper bought 3 mystery bags and found that 6 books were spy novels.
Based on this information, which prediction can the shopper make about buying mystery bags in the future?
A.There will be 4 more spy novels in 8 bags than in 6 bags
B.There will be 2 more spy novels in 6 bags than in 4 bags.
C.There will be 1 more spy novel in 9 bags than in 8 bags.
D.There will be 6 more spy novels in 10 bags than in 8 bags.
The prediction thay the shopper can make about buying mystery bags in the future is A.There will be 4 more spy novels in 8 bags than in 6 bags.
How to calculate the value?Since the shopper bought 3 mystery bags and found that 6 books were spy novels, it means that there are 6/3 = 2 spy novels in each bag.
There, the prediction thay the shopper can make about buying mystery bags in the future is that there will be 4 more spy novels in 8 bags than in 6 bags.
This is because there's an extra 2 bags which will be equal to 4 spy novels
Learn more about mystery numbers on:
brainly.com/question/25734188
#SPJ1
Please help!
Betty paid $300 for 5 toy planes. What is the rate per toy plane? (multiple choice)
a. $305 per toy plane
b. $295 per toy plane
c. $1,500 per toy plane
d. $60 per toy plane
Answer:
The answer is D, $60 per toy plane.
Answer:
d.) 60$
Step-by-step explanation:
You divide 300$ by 5 and you get 60 dollars per toy plane
what are two different ways to factor - 12x +24 -18y
Answer:
−12x−18x+24=6(−2x−3x+4)
pls help me i need it i will give brainliest help me pls ASAP
Answer:
10. 0
11. -16
12. 2
13. 2
14. 3
15. 0
Step-by-step explanation:
10. (x+4)(x-4) --> x= 4, -4 --> 4 + (-4) = 0
11. 4(-4) = -16
12. 2(x-2)² --> x = 2
13. 2
14. x(x-3) --> x= 0, 3, 0+3=3
15. 0(3) = 0
Ben asked his 19 classmates whether they were right handed or left-handed. There were five more right handed classmates than left handed classmates. Write a system of equations that can be used to determine how many of Ben’s classmates were right and left handed.
Answer:
left handed = 7 ; right handed = 12
Step-by-step explanation:
r = right handed
l = left handed
r + l = 19
r = l + 5
If we use substitution method we have:
l +5 + l = 19
2 l = 14
l = 7
r = 7 + 5 = 12
Answers:
The system of equations is
\(\begin{cases}y = x-5\\x+y = 19\end{cases}\)
where x and y is the number of right-handed and left-handed people respectively.
The system solves to (x,y) = (12,7)
Interpretation:
There are 12 right-handed people and 7 left-handed people in the class.
=========================================================
Explanation:
x = number of right-handed people
y = number of left-handed people
x and y are positive whole numbers.
There are 5 more right-handed people compared to left-handed people, so we can say x = y+5 which is the same as y = x-5. So you could go for either equation. Let's go for the one where y is isolated.
The second equation to form is x+y = 19 because there are 19 people in the class, and you can only be one or the other (left-handed or right-handed but not both). I'm not considering the possibility anyone is ambidextrous though of course that may happen in a realistic setting.
The two equations then form the system
\(\begin{cases}y = x-5\\x+y = 19\end{cases}\)
There are a number of ways we can solve this system. Substitution is possibly the quickest way.
x+y = 19
x+(x-5) = 19 ... replace y with x-5; due to the first equation
2x-5 = 19
2x = 19+5
2x = 24
x = 24/2
x = 12 .... this is the number of right-handed people
y = x-5
y = 12-5
y = 7 .... this is the number of left-handed people
1. Two containers are being filled with water. One begins with 10 gallons of water and is filled at a rate of 2.5 gallons per minute. The other begins with 24 gallons and is filed at 2.25 gallons per
minute.
Part A: Write an equation that represents the amount of water w, in gallons, with respect to time t, in minutes, for each container
Part B: Solve the system of equations. Show your work
Part C: How long would it take for both of the containers to have the same amount of water? How much water would be in each container?
Answer: PART A:
w-3.5 t=8
w-3.25t=24
PART B:
t=64
and w= 232
PART C:
It will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
PART A:
Let the water is filling in 't' minutes.
and 'w' denotes the amount of water in the container.
for container 1:
One begins with 8 gallons of water and is filled at a rate of 3.5 gallons per minute.
The equation is given by:
or
for container 2:
The other begins with 24 gallons and is filled at 3.25 gallons per minute.
The equation is given by:
or
PART B:
on solving equation (1) and equation (2) by method of elimination we get:
subtract equation (2) by equation (1) to obtain:
t=64
and putting the value of t in equation (1) to obtain:
w= 232
PART C:
Hence it will take 64 minutes for both of the containers to have the same amount of water.
The amount of water in each container is:
232 gallons.
Step-by-step explanation:
The function f : Z x Z → Z x Z defined by the formula f(m,n) = (5m+4n, 4m+3n) is bijective. Find its inverse.
The function f : Z x Z → Z x Z defined by \(f(m,n) = (5m+4n, 4m+3n)\) is bijective, with its inverse given by \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\). This means that for every pair of integers (m,n), the function f maps them uniquely to another pair of integers, and the inverse function \(f^{-1}\) maps the resulting pair back to the original pair.
The inverse of the function f(m,n) = (5m+4n, 4m+3n) is \(f^{-1}(m,n) = (-3m + 4n, 4m - 5n)\).
To show that the function f is bijective, we need to prove both injectivity (one-to-one) and surjectivity (onto).
Injectivity:
Assume f(m1, n1) = f(m2, n2), where (m1, n1) and (m2, n2) are distinct elements of Z x Z.
Then, (5m1 + 4n1, 4m1 + 3n1) = (5m2 + 4n2, 4m2 + 3n2).
This implies 5m1 + 4n1 = 5m2 + 4n2 and 4m1 + 3n1 = 4m2 + 3n2.
By solving these equations, we find m1 = m2 and n1 = n2, proving injectivity.
Surjectivity:
Let (a, b) be any element of Z x Z. We need to find (m, n) such that f(m, n) = (a, b).
By solving the equations 5m + 4n = a and 4m + 3n = b, we find m = -3a + 4b and n = 4a - 5b.
Thus, f(-3a + 4b, 4a - 5b) = (5(-3a + 4b) + 4(4a - 5b), 4(-3a + 4b) + 3(4a - 5b)) = (a, b), proving surjectivity.
Since the function f is both injective and surjective, it is bijective. The inverse function \(f^{-1}(m, n) = (-3m + 4n, 4m - 5n)\) is obtained by interchanging the roles of m and n in the original function f.
To learn more about Bijective functions, visit:
https://brainly.com/question/22472765
#SPJ11
True/False. what body of water do these archaeologists believe the cities of sodom and gomorrah were near?
True/False question cannot be answered with a "main answer". However, the archaeologists do believe that the cities of Sodom and Gomorrah were near the Dead Sea.
The location of Sodom and Gomorrah is a subject of debate among archaeologists and scholars. Some believe that they were located near the Dead Sea, while others propose different locations. However, the prevailing theory is that they were situated near the Dead Sea, which is a salt lake bordered by Jordan to the east and Israel and Palestine to the west.
The true/false question you have posed cannot be answered with a long answer as it is a binary question. However, if you want to know more about the archaeology and history of Sodom and Gomorrah, there is a wealth of information available online and in scholarly articles and books. The story of Sodom and Gomorrah is a biblical tale that recounts the destruction of two cities by God due to their wickedness. The story appears in both the Book of Genesis in the Hebrew Bible and in the Quran. Archaeological evidence suggests that there were settlements in the area of the Dead Sea around the time the story of Sodom and Gomorrah is said to have occurred, but there is no conclusive proof that these were the cities referred to in the Bible. Some scholars argue that the story is a myth, while others believe that there is a historical basis for it. Regardless of the veracity of the tale, the story of Sodom and Gomorrah has captured the imagination of people for centuries and continues to be a subject of scholarly inquiry.
To know more about archaeologists visit :-
https://brainly.com/question/31720195
#SPJ11
What is 13.5 rounded to the nearest whole
number?
The nearest whole number after rounding is, 14
What is Rounding of a number ?Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.
To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.
If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.
If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.
For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.
Given that,
The decimal number 13.5,
after using rules of rounding,
it can be rounded as 14
Hence, the nearest whole number is 14
To know more about Rounding check:
https://brainly.com/question/29878750
#SPJ9
Aaron has 47 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. (The fourth side of the enclosure would be the river.) The area of the land is 266 square meters. List each set of possible dimensions (length and width) of the field.
The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).
Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.
The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.
Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:
Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,
we have:Length of the field, l = 11 m
Width of the field, w = 12 m
Area of the field = l × w = 11 × 12 = 132 sq. m
To learn more about : dimensions
https://brainly.com/question/28107004
#SPJ8
Jackie has 54 fewer beads then sally. If B stands for the number of beats Jackie has, write an expression that represents the number of beats Sally has?
Answer:
B+54
Step-by-step explanation:
If Jackie has B beads, and Sally has 54 more than that, then you are adding 54 to B
how many different three-letter words (including nonsense words) are there in which successive letters are different?
16250 many different three-letter words—including nonsense words—have different letters in the next position.
Given that,
We have to find how many different three-letter words—including nonsense words—have different letters in the next position.
We know that,
The number of alphabets are 26
First letter has 26 choices.
Second letter can not be same has first letter so 25 choices.
Third letter can not be same has second letter so 25 choices.
So,
Total words = 26×25×25=16250
Therefore, 16250 many different three-letter words—including nonsense words—have different letters in the next position.
To learn more about letters visit: https://brainly.com/question/27833473
#SPJ4
Write FIVE (5) major learnings of yours in media and current event
course. Explain each learning briefly
Throughout my studies in media and current events, I have gained several major learnings that have shaped my understanding of the subject matter.
These include the importance of media literacy and critical thinking, the power and influence of social media, the role of bias in news reporting, the significance of ethical journalism, and the impact of media on shaping public opinion.
1. Media Literacy and Critical Thinking: One of the most crucial learnings is the importance of media literacy and critical thinking skills. It is essential to analyze and evaluate the information presented by media sources, considering their credibility, bias, and potential agenda. Developing these skills enables individuals to make informed judgments and avoid misinformation or manipulation.
2. Power and Influence of Social Media: Another significant learning is recognizing the power and influence of social media in shaping public opinion and disseminating news. Social media platforms have become prominent sources of information, but they also pose challenges such as the spread of fake news and echo chambers. Understanding the impact of social media is crucial for both media consumers and producers.
3. Role of Bias in News Reporting: Media bias is an important factor to consider when consuming news. I have learned that media outlets may have inherent biases, influenced by their ownership, political affiliations, or target audience. Recognizing these biases allows for a more balanced and critical understanding of news content, and encourages seeking diverse perspectives.
4. Significance of Ethical Journalism: Ethics play a fundamental role in responsible journalism. I have learned about the importance of principles such as accuracy, fairness, and accountability in reporting news. Ethical journalism promotes transparency and ensures the public's trust in the media, contributing to a well-informed society.
5. Impact of Media on Shaping Public Opinion: Lastly, I have learned that the media holds a significant role in shaping public opinion and influencing societal attitudes. Through various forms of media, such as news coverage, documentaries, or entertainment, narratives are constructed that can sway public perception on issues ranging from politics to social matters. Recognizing this influence is crucial for media consumers to engage critically with the information they receive and understand the potential impact it can have on society.
These five major learnings have provided me with a comprehensive understanding of media and current events, enabling me to navigate the vast landscape of information and make more informed judgments about the media I consume. They highlight the importance of media literacy, critical thinking, understanding bias, ethical journalism, and the impact media has on public opinion, ultimately contributing to a more well-rounded and discerning approach to media consumption.
Learn more about media here: brainly.com/question/20425002
#SPJ11
please help me answer this question asap
Answer:
It's quite easy
Step-by-step explanation:
people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23
Therefore there are 23 people less than 30 years old.
pls mark me as brainliest pls.
Suppose that the production function is q=F(L,K)=(KL)
1/3
. The output and input prices are (p,w,r)=(1,1,1). ** Part a (5 marks) Derive the long-run cost function C(q). ** Part b (7 marks) Solve the long-run profit maximization problem directly: max
K,L
1∗F(L,K)−1∗L−1∗K and find the profit-maximizing output. [Hint: there are two first-order conditions, and you need to solve them jointly.] ** Part c (8 marks) As an alternative to Part b, solve for the profit-maximizing output using the longrun cost function you derived in Part a.
The long-run cost function is C(q) = 2w(sqrt[rw(q^3)]). The profit-maximizing output can be found by minimizing this cost function with respect to q.
Part a: Deriving the long-run cost function C(q):
To derive the long-run cost function, we need to find the minimum cost of producing a given output level q using the given production function.
Given the production function q = F(L, K) = (KL)^(1/3), we can rewrite it as K = (q^3)/L.
Now, let's express the cost function C(q) in terms of q. We have the cost function as C(q) = wL + rK, where w is the wage rate and r is the rental rate.
Substituting the expression for K in terms of q, we get C(q) = wL + r[(q^3)/L].
To minimize the cost function, we can take the derivative of C(q) with respect to L and set it equal to zero:
dC(q)/dL = w - r[(q^3)/(L^2)] = 0.
Simplifying the equation, we have w = r[(q^3)/(L^2)].
Solving for L, we get L^2 = r(q^3)/w.
Taking the square root, we have L = sqrt[(r(q^3))/w].
Substituting this value of L back into the cost function equation, we get:
C(q) = w(sqrt[(r(q^3))/w]) + r[(q^3)/sqrt[(r(q^3))/w]].
Simplifying further, we have:
C(q) = 2w(sqrt[rw(q^3)]).
So, the long-run cost function C(q) is given by C(q) = 2w(sqrt[rw(q^3)]).
Part b: Solving the long-run profit maximization problem directly:
To solve the profit maximization problem directly, we need to maximize the expression:
max K, L [F(L, K) - wL - rK].
Taking the derivative of the expression with respect to L and K, and setting them equal to zero, we can solve for the optimal values of L and K.
The first-order conditions are:
dF(L, K)/dL - w = 0, and
dF(L, K)/dK - r = 0.
Differentiating the production function F(L, K) = (KL)^(1/3) with respect to L and K, we get:
(1/3)(KL)^(-2/3)K - w = 0, and
(1/3)(KL)^(-2/3)L - r = 0.
Simplifying the equations, we have:
K^(-2/3)L^(1/3) - (3/2)w = 0, and
K^(1/3)L^(-2/3) - (3/2)r = 0.
Solving these two equations simultaneously will give us the optimal values of L and K.
Part c: Using the derived long-run cost function:
In Part a, we derived the long-run cost function as C(q) = 2w(sqrt[rw(q^3)]).
To find the profit-maximizing output, we can minimize the long-run cost function C(q) with respect to q.
Taking the derivative of C(q) with respect to q and setting it equal to zero, we can solve for the optimal value of q.
dC(q)/dq = w(sqrt[rw(q^3)]) + (3/2)w(q^2)/(sqrt[rw(q^3)]) = 0.
Simplifying the equation, we have:
(sqrt[rw(q^3)])^2 + (3/2)(q^2) =
0.
Solving this equation will give us the profit-maximizing output q.
Learn more about long-run cost function here :-
https://brainly.com/question/30882146
#SPJ11
the equation for the volume of the cylinder is V= pier^2h. the positive value of r, in terms of h and v, is
Answer:
1)r=√V/πh
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
Hope it's helpful for you
pls mark above guy ans as brainliest
SHADOWS A rectangular billboard casts a shadow on the ground in the shape of a parallelogram. What is the area of the ground covered by the shadow? Round your answer to the nearest tenth.
Answer:
Its still a rectangle, just move the triangles, you get 450
Step-by-step explanation:
If you think of it like a triangle, you can use the base, the 90 degree angle, and the hypotenuse to get the area, do it twice since there are two, and your result is 225 for one triangle, 450 for both.
Plz help will mark brainliest
Answer:
Volume of sphere A = 128x (Approx.)
Step-by-step explanation:
Given:
Radius of sphere A = 2 x Radius of sphere B
Volume of sphere B = 16x
Find:
Volume of sphere A
Computation:
Volume of sphere = (4/3)(π)(r)³
Volume of sphere B = (4/3)(π)(r)³
16x = (4/3)(π)(r)³
16x = (4/3)(22/7)(r)³
16x = (88/21)(r)³
Radius of sphere B = 1.56∛x Approx.
Radius of sphere A = 2 x Radius of sphere B
Radius of sphere A = 2 x 1.56∛x
Radius of sphere A = 3.12∛x Approx.
Volume of sphere A = (4/3)(π)(r)³
Volume of sphere A = (4/3)(22/7)(3.12∛x)³
Volume of sphere A = (88/21)(30.37∛x)
Volume of sphere A = 127.27x
Volume of sphere A = 128x (Approx.)
a group contains n men and n women. how many ways are there to arrange these people in a row if the men and women alternate and the first person in the row is the youngest one?
If there are n men and n women in the group, we can first arrange the men and women separately in alternate positions. We can treat the men as a single group and arrange them in n! ways, and similarly, we can treat the women as a single group and arrange them in n! ways.
Next, we need to arrange the two groups (men and women) in alternate positions to satisfy the given condition. Since we need to place the youngest person (who could be a man or a woman) at the beginning of the row, we have two cases:
Case 1: The youngest person is a man
In this case, the men must start the arrangement, followed by the women. Since there are n men and n women, there are n! ways to arrange the men and n! ways to arrange the women. We can fix the youngest man at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 men. Similarly, there are (n-1)! ways to arrange the n-1 women. Therefore, the total number of arrangements in this case is:
n! * n! * (n-1)! * (n-1)!
Case 2: The youngest person is a woman
In this case, the women must start the arrangement, followed by the men. Since there are n women and n men, there are n! ways to arrange the women and n! ways to arrange the men. We can fix the youngest woman at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 women. Similarly, there are (n-1)! ways to arrange the n-1 men. Therefore, the total number of arrangements in this case is:
n! * n! * (n-1)! * (n-1)!
To get the total number of arrangements that satisfy the given condition, we need to add the number of arrangements in Case 1 and Case 2:
n! * n! * (n-1)! * (n-1)! + n! * n! * (n-1)! * (n-1)!
= 2 * n! * n! * (n-1)! * (n-1)!
= 2 * (n!)^2 * (n-1)!
Therefore, the total number of ways to arrange the people in a row with alternating men and women, starting with the youngest person, is 2 * (n!)^2 * (n-1)!.
URGENT! PLEASE HELP ASAP!!
Answer:
false
Step-by-step explanation:
angles cant get tan they dont have skin
Dependent and Independent Events
S
?
Tom is playing a board game.
He has rolled a six nine times in a row.
What's the probability that his 10th roll will not be a six?
금
Answer:
Step-by-step explanation:
Hello!
If you consider the 6-sided dice to be balanced, then each result has the same probability of occurrence: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)= \(\frac{1}{6}\)
And each time Tom rolls the dice is independent of the other times, this means that you can disregard all previous rolls and calculate the 10nth time as if it is the 1st one.
Be the event A: "Tom rolled the dice for the 10nth time and obtained a 6"
The probability of A occurring will be P(A)= 1/6
On the other hand, the complement of "A" will be \(A^c\): "Tom rolled the dice for the 10nth time and didn't obtain a 6"
This means he could obtain a 1 or a 2 or a 3 or a 4 or a 5
You can calculate the probability pf this event by adding the probability of obtaining each value P(\(A^c\))= P(1)+P(2)+P(3)+P(4)+P(5)= 1/6*5= 5/6
Or by subtracting the probability of A to the total probability of the sample space:
P(\(A^c\))= 1 - P(A)= 1 - 1/6= 5/6
I hope this helps!
A building casts a shadow 47 feet long. At the same time, a 38‐foot‐tall flagpole casts a shadow 9.4 feet long. What is the height of the building?
210 feet To answer this question you need to know the ratio of shadow with the actual object. In this case, 42 feet flagpole cast 9.4 feet shadow. Then the ratio is:
42feet/9.4 feet= 4.468
That means the actual height is 4.468 times of shadow length. After that, you can multiply the ratio with the shadow to know the object actual size. It would be: 47 feet x 4.468= 210 feet.
Determine wheter each regular polygon tessellates the plane. Explain. equilater triangle. a) yes; measure of interior angle = 60deegres. b) no; measure of interior angle = 60deegres. c) yes; measure of interior angle = 120deegres. d) no; measure of interior angle = 120deegres. please select the best answer from the choices provided
The correct answer is (a) yes; the equilateral triangle tessellates the plane.
A tessellation is a tiling of the plane using one or more geometric shapes without any gaps or overlaps. For a regular polygon to tessellate the plane, the sum of its interior angles must be a multiple of 360 degrees.
For an equilateral triangle, each angle measures 60 degrees, so the sum of the angles in a triangle is 180 degrees. Therefore, the sum of the interior angles in a tessellation of equilateral triangles must be a multiple of 180 degrees.
Since the measure of the interior angle of an equilateral triangle is 60 degrees, we can tile the plane with equilateral triangles meeting at each vertex. At each vertex, the sum of the interior angles of the three triangles is 180 degrees, so the tessellation meets the requirement that the sum of the interior angles is a multiple of 360 degrees.
Therefore, the answer is (a) yes; the equilateral triangle tessellates the plane.
Learn more about equilateral triangle here:
https://brainly.com/question/19987277
#SPJ11
INSTRUCTIONS
Write your answers in {a,b} form. 0/2
Solve:
2x^2+3x=22x
2
+3x=2
Answer:
The answers in {a, b} form are:
{0, 19/2}
Step-by-step explanation:
To solve the equation 2x^2 + 3x = 22x, we need to simplify the equation and then solve for x. Here's the step-by-step solution:
Begin by subtracting 22x from both sides of the equation to get:
2x^2 + 3x - 22x = 0
Simplifying this equation further:
2x^2 - 19x = 0
Next, factor out the common term x from both terms:
x(2x - 19) = 0
Now, we can set each factor equal to zero and solve for x:
Setting x = 0, we have: x = 0
Setting 2x - 19 = 0, we have: 2x = 19, x = 19/2
So, the solutions to the equation are x = 0 and x = 19/2.
know more about equation: brainly.com/question/29657983
#SPJ11
I NEED HELP REALLY REALLY BAD!!! BRAINLIEST!
Answer:
4/3
Step-by-step explanation:
16 - 8 8
--------- = -------- = . 4/3
12 - 6 6
The veterinarian at the Maryland Zoo predicted that the new baby chimp, Maisie weighs 7.2 pounds. During the check-up, Maisie actually weighed 9.6 pounds. What is the percent error?
The percent error in Maisie's weight prediction by the veterinarian at the Maryland Zoo is 33.33%.
Percent error is calculated by taking the absolute difference between the predicted and actual values, dividing it by the actual value, and then multiplying by 100. In this case, the predicted weight of Maisie by the veterinarian is 7.2 pounds, while the actual weight is 9.6 pounds.
To calculate the percent error, we subtract the predicted weight from the actual weight: 9.6 pounds - 7.2 pounds = 2.4 pounds.
Next, we take the absolute value of the difference: |2.4| = 2.4 pounds.
Then, we divide the absolute difference by the actual weight: 2.4 pounds / 9.6 pounds = 0.25.
Finally, we multiply the result by 100 to get the percent error: 0.25 * 100 = 25%.
Therefore, the percent error in Maisie's weight prediction is 33.33%, indicating that the veterinarian's estimate was off by approximately one-third of the actual weight.
Learn more about Percent error here:
https://brainly.com/question/16805984
#SPJ11
in a hypothesis test, you assume the alternative hypothesis is true. True/ False
[FALSE] In a hypothesis test, you assume the alternative hypothesis is true.
ABOUT ALTERNATIVE HYPOTHESISIf the null hypothesis is rejected, then there is what is called an alternative hypothesis.
the alternative hypothesis states that there is an observed effect between the two variables in the experiment.
That is, the alternative hypothesis opposes the contents of the null hypothesis. Where there are differences and the nature of mutual influence between the two variables studied.
If there are deviations or differences between the two variables, then the null hypothesis is rejected while the alternative hypothesis is accepted. Conversely, if the null hypothesis is accepted, then the alternative hypothesis is rejected.
The alternative hypothesis is symbolized by Ha or also H1. Alternative hypotheses can use symbols not equal to (≠), less than (<), and more than (>).
Learn more about alternative hypothesis at
https://brainly.com/question/30404845.
#SPJ4
Mr.russo exchanged 200 euros for 270 dollars how many dollar he get foe 300 euros
Answer:
$405
Step-by-step explanation:
This is a proportion problem!
Build fractions that have euros on top and dollars on the bottom (or the other way around, you decide, but make it the same in both fractions).
Let's do euros over dollars.
Setup:
\(\frac{200}{270}=\frac{300}{d}\)
"Cross multiply."
\(200d=300\times 270\\\\200d=81000\\\\d=\frac{81000}{200}=405\)
The average monthly temperature in Phoenix Arizona can be modeled by the equation A=70.5 +19.5 sin(pi/6t +c), where a represents the average monthly temperature in Fahrenheit and t is time in months. if the coldest temperature occurs in January ( that is, t=1), find the value of c.
The value of c is approximately -1.964.To find the value of c in the equation A = 70.5 + 19.5 sin(pi/6t + c), we need to use the given information that the coldest temperature occurs in January (t = 1).
Substituting t = 1 into the equation, we have:
A = 70.5 + 19.5 sin(pi/6 + c)
We know that the coldest temperature occurs in January, which means it is the minimum value of A. For a sine function, the minimum value is -1. Therefore, we can set A = -1 and solve for c.
-1 = 70.5 + 19.5 sin(pi/6 + c)
Rearranging the equation, we have:
19.5 sin(pi/6 + c) = -1 - 70.5
19.5 sin(pi/6 + c) = -71.5
Dividing both sides by 19.5, we get:
sin(pi/6 + c) = -71.5 / 19.5
Using the inverse sine function (arcsin), we can solve for c:
pi/6 + c = arcsin(-71.5 / 19.5)
c = arcsin(-71.5 / 19.5) - pi/6
Using a calculator to evaluate the inverse sine and subtracting pi/6, we find:
c ≈ -1.964
To learn more temperature go to:
https://brainly.com/question/7510619
#SPJ11