The linear regression equation is y = 4,035.33 + 2,115x.
The correlation coefficient is 0.976321113.
The type of correlation is a positive linear correlation.
Yes, the correlation is strong because the correlation coefficient approximately equals to 1.
The amount of Krabby Patties made by Spongebob after working 10 years is $25,185.
How to write the linear regression equation?In this scenario, the years worked (x) would be plotted on the x-axis of the scatter plot while the patties made (y) would be plotted on the x-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the relationship between the years worked (x) and the Patties made (y), an equation for the linear regression is given by:
y = 41,461.54 + 2,714.46x
Next, we would predict the amount of Krabby Patties made by Spongebob after working 10 years as follows;
y = 4,035.33 + 2,115(10)
y = 4,035.33 + 2,1150
y = $25,185.33 ≈ $25,185.
In conclusion, there is a strong correlation between the data because the correlation coefficient (r) approximately equals to 1;
0.7<|r| ≤ 1 (strong correlation)
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The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation e = 25 +0.6m models the cost, e,
in dollars for the number of miles, m, traveled in the truck.
Identify the independent and dependent variables.
Answer:
The independent variable is m (the number of miles driven), and the dependent variable is "e" (the cost)
Step-by-step explanation:
Notice that the cost "depends" upon the number of miles driven, therefore, the cost (identified with the letter "e") is the dependent variable which depends upon the number of miles driven (and which is the independent variable identified with the letter "m")
Answer: The independent variable is m (number of miles) and the dependent variable is e (the cost).
Step-by-step explanation:
In this situation, if you were to graph the equation on the number line ,
M will be the x and e will be the y.And we know most of the time that x is independent in that situations and y is dependent.
The cost of depends on how many miles travelled.If the cost will go up it depends on how many miles.
14% out of 100% equals how many people out of 10?
Answer:
1.4 people out of 10
Step-by-step explanation:
Just divide it by 10
Answer:
only 4 people
Marsha and Kristen are scuba diving. Marsha is at an elevation of -24 feet, and she is descending at a rate of 12 feet per minute. Kristen is at an elevation of -8 feet and she is descending at a rate of 16 feet each minute. The variable t represents the time in minutes.After how many minutes will Marsha and Kristen be at the same elevation? At what elevation will they be at that time?
Marsha and Kristen will be at the same elevation of -72 feet after 4 minutes.
How to find their elevation?
To find out after how many minutes Marsha and Kristen will be at the same elevation, we can set their elevation equations equal to each other:
-24 - 12t = -8 - 16t
Then, we can solve for t by adding 8 to both sides and dividing by 4:
t = 4
So, Marsha and Kristen will be at the same elevation after 4 minutes.
To find out what elevation they will be at that time, we can substitute 4 into either one of the elevation equations and solve for the elevation:
-24 - 12(4) = -24 - 48 = -72
So, Marsha and Kristen will be at the same elevation of -72 feet after 4 minutes.
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Choose the correct option:
The power of a test is
A) the probability of rejecting a true null hypothesis.
B) one minus the probability of not rejecting a false null hypothesis.
C) Type II error.
D) Type I error.
The correct option is B) one minus the probability of not rejecting a false null hypothesis.
The power of a statistical test refers to its ability to correctly reject a false null hypothesis. It is the probability of rejecting a false null hypothesis, or in other words, the probability of correctly concluding that there is an effect or difference when one truly exists.
Option A) "the probability of rejecting a true null hypothesis" is incorrect because the power of a test is not related to the probability of rejecting a true null hypothesis. The power is focused on the ability to detect false null hypotheses.
Option C) "Type II error" is incorrect because Type II error refers to failing to reject a false null hypothesis. It is the error of accepting a false null hypothesis or failing to detect an effect or difference when one truly exists.
Option D) "Type I error" is also incorrect because Type I error refers to rejecting a true null hypothesis, which is not directly related to the power of a test.
Therefore, the correct option is B) one minus the probability of not rejecting a false null hypothesis, which represents the power of a test.
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which question is it (50 points) quick
Answer:
C) The change in expected quiz score for every additional one hour students spend on their homework
Step-by-step explanation:
An airplane begins its descent. After 4 minutes, it is 22,000
feet above the ground. After 7 minutes, it is 16,000 feet above
the ground. What is the airplane's rate of change?
Answer:
2,000 feet/minute
Step-by-step explanation:
After four minutes the plane has descended to 22,000 feet, and after seven minutes it has descended to 16,000 feet, so the plane lost 6,000 feet of altitude in three minutes. Assuming it lowers at a constant rate of change, the rate of change of the airplane would be \(\frac{6000}{3}\) or 2,000 feet/minute.
STOP AND HELP PLZzzzzzzz
Answer:
k = 2
Step-by-step explanation:
9 = k(6) - 3
12 = 6k
k = 2
Answer:
k = 2
Step-by-step explanation:
We know that in the coordinates (6, 9) 6 is X and 9 is Y. So, we can just plug that into the equation in the problem to get 9 = 6k - 3. Then, after solving, we get the answer as k = 2.
Given right triangle
�
�
�
ABC with altitude
�
�
‾
BD
drawn to hypotenuse
�
�
‾
AC
. If
�
�
=
20
AD=20 and
�
�
=
14
,
DC=14, what is the length of
�
�
‾
BD
in simplest radical form?
The length of side BD which is the altitude of the triangle is 2√(70)
How to find the length of BDThe length of BD is solved using similar triangles. This is defined by triangles formed from triangle ABC and they include
triangle ABD and triangle CBDLet the altitude be h, hence we have the formula of the proportions as
AD / h = h / DC
plugging the values gives
20 / h = h / 14
h^2 = 20 * 14
h = √(20 * 14 )
h = √(280)
h = 2√(70)
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A fence 8 feet tall runs parallel to a tall building at a distance of 4 feet from the building. What is the length (in feet) of the shortest ladder that will reach from the ground over the fence to the wall of the building
The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.
To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In this case, the fence, building, and ladder form a right triangle, where the fence and building are the legs, and the ladder is the hypotenuse.
We know that the fence is 8 feet tall and the building is 4 feet away from the fence, so the height of the right triangle (the distance from the ground to the top of the building) is also 8 feet.
To find the length of the ladder, we need to use the Pythagorean theorem:
ladder^2 = fence^2 + height^2
ladder^2 = 8^2 + 4^2
ladder^2 = 64 + 16
ladder^2 = 80
ladder ≈ 8.94 feet
Therefore, the length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.
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A man has 13 of a kilogram of chocolate. He shares it equally amongst 4 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
Answer:
3.25
Step-by-step explanation:
13÷4=3.25
Everyone gets 3.25 kg of chocolate
Answer:
3 1/4 kilograms
Step-by-step explanation:
13 ÷ 4 = 3.25 = 3 1/4
can someone help me asapp
Based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.
What is a probability?It is used to predict and estimate the likelihood of future events and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
The probability of rolling next is a 4:
The total number of times the die was rolled is:
⇒ 8 + 4 + 3 + 9 + 2 + 4 = 30
The number of times the die landed on 4 is 9.
Then, the probability of rolling next a 4 is:
⇒ 9/30 = 3/10
⇒ 9/30 = 0.3
Therefore, based on the given data, the probability of rolling a 4 on the next roll of this die is 0.3 or 30%.
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Use an equation to solve each percent problem. Round your answer to the nearest tenth, if necessary.
80% of 58 is what?
Last year, Mitch inherited a first-edition book from his grandfather. When he first received it, he looked online and found that the value of the book was listed at $250. He checked again one year later and saw that the value has increased to $265. The value of the book is expected to continue to increase over the next few years. Write an exponential equation in the form y=a(b)x that can model the value of Mitch's book, y, in x years. Use whole numbers, decimals, or simplified fractions for the values of a and b.
The exponential equation in the standard form will be written as y = 250 (1.06)ˣ.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
When he first received it, he looked online and found that the value of the book was listed at $250. He checked again one year later and saw that the value has increased to $265.
Then the equations are given as,
250 = ab⁰
a = 250
265 = ab¹
265 = 250 b
b = 1.06
Then the exponential equation in the standard form will be written as,
y = 250 (1.06)ˣ
The exponential equation in the standard form will be written as y = 250 (1.06)ˣ.
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Answer:
Step-by-step explanation:
m
Pls help I don’t get it
Answer:
Answer 3 (y=55x+20)
Step-by-step explanation:
The question says 55 each, meaning we don't know how much so u put x after 55. 20 is the additional cost that you pay only once.
Please help me !! would appreciate
The answers that describe the quadrilateral DEFG area rectangle and parallelogram.
The correct answer choice is option A and B.
What is a quadrilateral?A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.
Quadrilateral DEFG
if line DE || FG,
line EF // GD,
DF = EG and
diagonals DF and EG are perpendicular,
then, the quadrilateral is a parallelogram
Hence, the quadrilateral DEFG is a rectangle and parallelogram.
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Match each statement (term) with its value in relation to 0 (definition).
Match
Term
Definition
A building is 38 feet tall.
A) -8.3
B)-27
The scuba diver was 38 feet below
sea level.
C) 2.7
The basement is 8.3 feet below
ground.
Oliver owes his sister $27.
D) 38
Erica jumped 2.7 feet above ground. E) -38
Answer:
it is in this order
Step-by-step explanation:
D E A B C your welcome! and good luck
Jackson wants to make at least $150 this weekend so that he can buy some new
baseball cleats. If he earned $77.50 on Saturday, write an inequality to find the amount
of cash he must make on Sunday.
Answer:
m ≥ $72.50
Step-by-step explanation:
John is 12 meters away from a cliff and looks up to the top of the cliff at an angle of 45. His eyes are 2 meters above the ground. How tall is the cliff?
Answer:
14m
Step-by-step explanation:
Please refer to the attached figure
B is the position where John is standing, His eyes are at point A, 2 meters from the ground
D is the base of the cliff and E is the top of the cliff
∠EAC is the angle at which John looks up to the cliff and is given as 45°
BD is the distance from the cliff given as 12m
So AC is also 12m
∠ACE is 90°
Therefore ∠AEC is 180-(45+90) = 45° since AEC forms a triangle and sum of angles in a triangle = 180°
In the ΔAEC, by the law of sines
12/sin(45) = EC/sin(45) . This means EC = 12 since the denominators cancel out
Since point C is 2 meters above ground(the base of the cliff) add 2 and we get the height of the cliff as 12+2 = 14m
PART 1: Sam brings x burgers to the BBQ. his friends Mike brings 5 more than 2 times as many burgers as Sam did. together they brought 50 burgers. please write an equation to represent this situationPART 2: solve the equation you created in part 1 for xPART 3: how many burgers did Mike to the BBQ
The number of burger sam bought = x
Let the number of burgers for mike be = y
the equation for the total number of burgers will be
\(x+y=50\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots(\text{eqn 1)}\)Mike brought 5 more than 2 times as many burgers as sam will be represented as
\(y=2x+5\ldots\ldots\ldots\ldots\ldots\ldots\ldots..(Eqn\text{ 2)}\)By substituting Eqn 2 in Eqn 1 we will have
\(\begin{gathered} x+y=50 \\ x+2x+5=50 \\ 3x+5=50 \\ 3x=50-5 \\ 3x=45 \\ \frac{3x}{3}=\frac{45}{3} \\ x=15 \end{gathered}\)Therefore,
The value of x= 15
To calculate the number of burgers mike brought to the BBQ =y,
We will substitute the value of x in (Eqn 1) above
\(undefined\)
A bathtub ha ome water in it. Mia turn on the faucet to add more water. The total amount of water in gallon, y i a function of the time minute ince Mia turn on the faucet, x
The linear equation representing Mia's situation is y = 3x + 12.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The two points given are - (4,24) and (6,30)
The slope-intercept form of a linear equation is - y = mx + b, where m is the slope and b is the y-intercept.
To find the slope use the formula -
m = (y2 - y1)/(x2 - x1)
m = (30 - 24)/(6 - 4)
m = 6/2
m = 3
So, now the equation becomes - y = 3x + b
To find the y-intercept substitute the equation with x and y values -
24 = 3(4) + b
24 = 12 + b
b = 24 - 12
b = 12
So, now the equation becomes - y = 3x + 12.
Therefore, the linear equation y = 3x + 12.
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A bathtub has some water in it. Mia turns on the faucet and add more water. The total amount of water in gallons, y, is a function of the time in minutes since Mia turned on the faucet, x. The graph of a linear function passes through the points (4,24) and (6,30) What is the equation of the function?
It is known that 2x-3/x = x + 1 What is the value of x^2 -x + 3
The value of the equation x² - x + 3 is 37/9.
We have,
We can start by multiplying both sides of the equation by x:
2x - 3/x = x + 1
2x - 3 = x^2 + x
Rearranging and simplifying, we get:
x^2 - x + 3 = (2x - 3) + x^2
x^2 - x + 3 = x^2 + 2x - 3
-x + 3 = 2x - 3
5 = 3x
x = 5/3
Now we can substitute x into the equation x^2 - x + 3:
x^2 - x + 3 = (5/3)^2 - 5/3 + 3
x^2 - x + 3 = 25/9 - 15/9 + 27/9
x^2 - x + 3 = 37/9
Therefore,
The value of x² - x + 3 is 37/9.
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The circumference of a circle is approximately 43.96 centimeters. What is the radius of the circle? 3.14 for Pie
-7 Centimeters
-11 Centimeters
-14 Centimeters
-22 Centimeters
Answer:
7 Centimeters
Step-by-step explanation:
If the equation of a function is a rational expression, the function is rational. A. True B. False
Answer:
I think the answer might be A. True
Step-by-step explanation:
...
Answer:
Statement A is true.
Step-by-step explanation:
If the equation of a function is a rational expression, then the function is considered rational. A rational expression is defined as a ratio of two polynomial expressions. In other words, the numerator and denominator of the rational expression are polynomial expressions. Therefore, a rational function is defined as the quotient of two polynomial functions, which is also known as a rational expression.
After selling some old books and toys, Gwen and her brother Max had 5 one-dollar bills, 6 quarters, and 8 dimes.
Part A:
What is the total amount of money earned?
Part B:
Max and Gwen decide to divide the money equally. Max said that he and Gwen cannot get even amounts of money because 5 one-dollar bills cannot be divided evenly. Do you agree with Max? Explain.
a) The total amount of money earned is 7.30 dollars.
b) Max is wrong, it is possible to divide the money equally between Gwen and Max, even though the total amount is an odd number.
a) To find the total amount of money earned, we need to convert the number of quarters and dimes to dollars.
6 quarters = 6 * 0.25 = 1.50 dollars
8 dimes = 8 * 0.10 = 0.80 dollars
The total amount of money earned is:
5 dollars + 1.50 dollars + 0.80 dollars = 7.30 dollars
b) Max is incorrect. The total amount of money earned is an odd number ($7.30), which means it is impossible to divide it equally between two people in whole dollar amounts. However, it is possible to divide the total amount equally if we allow for fractions of a dollar.
For example, if we split the money equally, Gwen and Max would each get $3.65. This means that Gwen would get 3 dollars and 65 cents, while Max would also get 3 dollars and 65 cents.
Therefore, it is possible to divide the money equally between Gwen and Max, even though the total amount is an odd number.
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Which of the following numbers is NOT a solution of the inequality: 6x + 11 > 7x - 2?
Answer:
x<13
Step-by-step explanation:
x < 13 is the solution of the inequality; 6x + 11 > 7x - 2
What is an inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality'.
Given that, an inequality 6x + 11 > 7x - 2
On solving for x, we get,
6x + 11 > 7x - 2
6x + 11 +2 > 7x
13 > x
x < 13
Hence, x < 13 is the solution of the inequality; 6x + 11 > 7x - 2
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Hellohello, if you able to help me then please do. (:
Answer:
18 u multiply 2 and 7 first equal 14 plus 4 equals 18 hope this helps
Step-by-step explanation:
24 is what percent of 60
Answer: 14.4
Step-by-step explanation:
60 * (24/100) = 14.4
Find the Length of KNJ
1.) 16.9
2.)67.5
Step-by-step explanation:
The length of arc KNJ is the circumference of the entire circle minus the measure of the 48 degree arc.
This means the central angle of this sector KNJ is 360-48=312.
Using the arc length formula, we get the arc length is (2)(pi)(16)(312/360)=416pi/15.
Find the percent of change. Round to the nearest tenth if necessary: 25 is increased by 80%
Answer:
45
Step-by-step explanation: Find what 80% of 25 is, you can do this by dividing 25 by 100. Then multiply the output by 80. Add that output to 25 and you should get an answer of 45.
2a) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? *
Answer:
this question is imcompelete
Step-by-step explanation:
was there a total for this question, you can't just find out the orginal purchase with -13 and 20 percent off, you need either s start number or end number