The correlation coefficient that indicates the weakest relationship is 0.34.
The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship.
Among the given options, the correlation coefficient of 0.34 indicates the weakest relationship, as it is closest to 0 and suggests a weak positive linear relationship. A correlation coefficient of 0.65 or -0.65 suggests a moderately strong positive or negative linear relationship, respectively. A correlation coefficient of 0.92 suggests a very strong positive linear relationship.
To know more about correlation coefficient,
https://brainly.com/question/27226153
#SPJ11
The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that failed after 64 months is 2.
What is mean?In mathematics, particularly statistics, there are several types of means. Each mean is used to summarize a specific set of data, often in order to better understand the overall value (magnitude and sign) of a given data set.The arithmetic mean, also known as "arithmetic average," of a data set is a measure of the central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values.To find the z-score:
The given parameters are:
Mean, \(\mu\) = 48 monthsStandard deviation, \(\sigma\) = 8 monthsThe z-score is then computed as follows:
\(z=\frac{x-\mu}{\sigma}\)We have the following for an appliance that stopped working after 64 months:
x = 64So, the equation becomes:
z = 64 - 48/8Compare and contrast the differences:
z = 16/8Calculate the quotient:
z = 2Therefore, the z-score of an appliance that failed after 64 months is 2.
Know more about mean here:
https://brainly.com/question/1136789
#SPJ4
Select ALL of the expressions that are equivalent to
3. 5 - (4. 7).
(Select all that apply. )
4. 7 - (3. 5)
-4. 7 + 3. 5
3. 5 +4. 7
3. 5 - (-4. 7)
3. 5+ (-4. 7)
The All the expressions that are equivalent to "3.5 - (4.7)" are (b) -4.7 + 3.5 and (e) 3.5+ (-4.7) .
to find the equivalent expressions , we solve the expressions :
the main expression is 3.5 - (4.7) = -1.2 ;
Simplifying the expressions :
(a) 4.7 - (3.5) = 1.2 False
(b) -4.7 + 3.5 = -1.2 True
(c) 3.5 + 4.7 = 8.2 False
(d) 3.5 - (-4.7) = 3.5 + 4.7 = 8.2 False
(e) 3.5 +(-4.7) = 3.5 - 4.7 = -1.2 True
So , the only value of the expressions that matches with the main expressions are (b) -4.7 + 3.5 and (e) 3.5+ (-4.7) .
The given question is incomplete , the complete question is
Select ALL of the expressions that are equivalent to "3. 5 - (4. 7)"
(Select all that apply. )
(a) 4.7 - (3.5)
(b) -4.7 + 3.5
(c) 3.5 +4.7
(d) 3.5 - (-4.7)
(e) 3.5 + (-4.7)
Learn more about Expressions here
https://brainly.com/question/18263778
#SPJ4
I need help solving this problem ASAP
Answer:
I don't know the answer to this but if you find someone that can answer this and explain please tell me because I'm struggling a lot with this topic as well
You have $12.50 and you need to make copies of a flyer at a store that charges $0.40
per copy. Find the inequality that represents the number of copies you can make. Use
x as the variable.
What is the maximum number of copies you can afford to make?
In linear equation, 31.25 is the maximum number of copies you can afford to make .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Here,
Let the number of copies be x,
According to the question,
0.40x < 12.50
x < 12.50 / 0.40
x < 31.25
Learn more about linear equation
brainly.com/question/11897796
#SPJ1
Consider the function ψ(z,t)=(z−vt)2+1A where A is a constant. Show that it is a solution of the differential wave equation. Determine the speed of the wave and the direction of propagation.
The speed of the wave is √(V² - 1) and the direction of propagation is ∂ψ / ∂z / ∂ψ / ∂t = 1/v.
The function given is; ψ(z,t) = ((z - vt)² + 1) / A
where A is a constant
To show that the function is a solution of the differential wave equation;
Firstly we can differentiate the given function partially to obtain the value of wave equation as shown below;
∂²ψ/∂t² = A(V² - 1)(2z² - 2vzt + v²t² + 1) / A²...1
∂²ψ/∂z² = A(2) / A = 2...2
The wave equation is given by: ∂²u / ∂t² = v² (∂²u / ∂x²)
Comparing equation (1) and (2) with wave equation, we get;
v² = (V² - 1)...3
(∂²ψ / ∂z²) = (∂²ψ / ∂t²) / v² = (A(V² - 1)(2z² - 2vzt + v²t² + 1) / A²) / (V² - 1)...4
The speed of the wave, v = √(V² - 1)...5
From equation 5, we can find the speed of the wave.
The direction of propagation can be obtained by calculating the gradient of the function given:
∂ψ / ∂z = 2(z - vt) (-1)...6∂ψ / ∂t = 2(z - vt) (-v)...7
The direction of propagation is given by the ratio of (6) and (7) as:
∂ψ / ∂z / ∂ψ / ∂t = 1/v...8
From the above discussion, we have;
v = √(V² - 1)...5
∂ψ / ∂z / ∂ψ / ∂t = 1/v...8
Therefore, the speed of the wave is √(V² - 1) and the direction of propagation is ∂ψ / ∂z / ∂ψ / ∂t = 1/v.
Learn more about differential wave equation visit:
brainly.com/question/13260086
#SPJ11
prediction problems where the variables have numeric values are most accurately defined as classifications. regressions. associations. computations.
Prediction problems where the variables have numeric values are most accurately defined as regressions.
What is regression?Regression analysis is a set of statistical processes used in statistical modeling to estimate the relationships between a dependent variable and one or more independent variables.
Researchers can use regression to predict or explain variation in one variable based on another variable. Definitions include: The response variable is the variable that researchers are attempting to explain or predict. It is also known as the dependent variable because it is dependent on another variable.
Understanding linear regression is critical because it provides a scientific method for identifying and forecasting future outcomes. The ability to find and evaluate predictions can help many businesses and individuals by providing benefits such as optimized operations and detailed research materials.
Learn more about regression on:
https://brainly.com/question/25987747
#SPJ1
Give the most precise selection
for the quadrilateral with the
following vertices.
P(0,0), Q(0,2a), R(2a,2a), S(2a,0)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
Answer:
Its definitley square to be precise so that's my answer, but its also a rhombus
Step-by-step explanation:
assuming a is 1, regardless, graph would always be square, which is a rhombus. hope square is correct :)
the parameter estimates for a likert scale question on scale of 1-5 on preferring unusual desserts is 4.42 to 4.66 with confidence level of 95%. what does that mean?
When the parameter estimates for a Likert scale question on a scale of 1-5 for preferring unusual desserts is 4.42 to 4.66 with a confidence level of 95%, it means that there is a 95% chance that the true population mean falls between the estimated range.
A Likert scale is a form of survey or questionnaire that gauges people's attitudes or perceptions about a certain topic. It's a rating scale that typically includes a series of items or questions to which the respondents respond. The Likert scale is a five-point scale in which respondents indicate their level of agreement or disagreement with a statement, question, or prompt. The scale ranges from one to five, with one indicating a low level of agreement and five indicating a high level of agreement.
A confidence interval is a range of values that is highly likely to include the true population means of the parameter being measured based on the sample statistic. It is a measure of the precision of the sample estimate of the true population parameter. In this situation, the estimated range of 4.42 to 4.66 implies that there is a 95% chance that the true population means for preferring unusual desserts is within this range.
Know more about the Likert scale here :
https://brainly.com/question/24691677
#SPJ11
farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:3.92
Step-by-step explanation:
find 1/5 of 9.8kg
=1.96kg
3/5 of pears = 1.96*3=5.88kg
apples= 2/5 so 1.96*2=3.92kg
OR 9.8-5.88=3.92kg
Answer:
3.92kg of Apples
Step-by-step explanation:
The size of Pears weight is 3/5 of 9.8kg...
=3/5 * 9.8
=3 * 9.8/5
=29.4/5
=5.88kg
Thus, the size of the Apples will be 9.8kg - 5.88kg
= 3.92kg.
Thus, the farmer sold 3.92kg of Apples at the farmer's market.
please help so hard math stuff click to help
Answer:
m∠ 1 = 165°
m∠ 2 = 15°
Step-by-step explanation:
We Know
∠1 + ∠2 = 180°
Let's solve
5x + (x - 18) = 180
5 + x - 18 = 180
6x - 18 = 180
6x = 198
x = 33
Now we put 33 in for x and solve for ∠1 and ∠2 !
m∠ 1 = 5x°
m∠ 1 = 5(33)
m∠ 1 = 165°
m∠ 2 = (x - 18)
m∠ 2 = 33 - 18
m∠ 2 = 15°
Answer:
m∠1 = 165°
m∠2 = 15°
Step-by-step explanation:
Note that, when the angle measurements are combined, the total measurement is 180°, based on the definition of a straight line.
It is given that m∠1 = 5x°, and m∠2 = (x - 18)°. Set the two angle measurements equal to the total measurement:
\(5x + (x - 18) = 180\)
First, simplify. Combine like terms. Like terms are terms that share the same amount of the same variables:
\((5x + x) - 18 = 180\\(6x) - 18 = 180\)
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents
Multiplications
Divisions
Additions
Subtractions
~
First, add 18 to both sides of the equation:
\(6x - 18 = 180\\6x - 18 (+18) = 180 (+18)\\6x = 180 + 18\\6x = 198\\\)
Next, divide 6 from both sides of the equation:
\(6x = 198\\\frac{6x}{6} = \frac{198}{6}\\ x = \frac{198}{6} = 33\)
x = 33. Next, plug in 33 for x for both measurements:
\(m\angle1 = 5x\\m\angle1 = 5 * (33)\\m\angle1 = 165\\\\m\angle2 = x - 18\\m\angle2 = (33) - 18\\m\angle2 = 15\)
Check. Both, when combined, should make 180°
165 + 15 = 180
180 = 180 (True)
~
Learn more about solving for angle measurements, here:
https://brainly.com/question/14684647
us I a calculator or otherwise, calculate the exact value of 1 4/7 ÷ 2/3 - 1 5/7
BEST ANSWER :
\(1 \frac{4}{5} \div \frac{2}{3} - 1 \frac{5}{7} \)
=
\( \frac{7 + 4}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - 1 \frac{5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{7 + 5}{7} \\ \frac{11}{7} \div \frac{2}{3} - \frac{12}{7} \\ \frac{11}{7} \times \frac{3}{2} - \frac{12}{7} \\ \frac{11 \times 3}{7 \times 2} - \frac{12}{7} \\ \frac{33}{7 \times 2} - \frac{12}{7} \\ \frac{33}{14} - \frac{12}{7} \\ \frac{33}{14} - \frac{12 \times 2}{14} \\ \frac{33}{14} - \frac{24}{14} \\ \frac{33 - 24}{14} \\ \frac{9}{14} \)
A cosine function has a period of 3, a maximum value of 20, and a minimum value of 0 the function of its parent function over the x-axis Which function could be the function described?
The function that could be described is f(x) = 10cos(2πx/3), where the amplitude is 10, the period is 3, and the maximum value is 20.
In a cosine function, the amplitude represents the vertical distance from the midline to the maximum or minimum value. Here, the maximum value is 20, which means the amplitude is half of that, i.e., 10. The period of the function is the distance it takes for one complete cycle, and in this case, it is 3 units.
By using the formula f(x) = A*cos(2πx/P), where A is the amplitude and P is the period, we can determine that the given function matches the described characteristics.
The function f(x) = 10cos(2πx/3) has a maximum value of 20 and a minimum value of 0, and it completes one cycle over the interval of the period, which is 3 units.
In conclusion, the function f(x) = 10cos(2πx/3) satisfies all the given conditions and represents the described function.
To know more about function refer here:
https://brainly.com/question/31062578
#SPJ11
Help plz
Btw it's NOT A and B
Answer:
C
Step-by-step explanation:
I'd like to remember that the signs are pointing at the direction
Answer:
its c
Step-by-step explanation:
Find the length of, x, of the third side of the triangle.
Answer:
i do not know either so please help me because this is not my level
Answer:
8=x
Step-by-step explanation:
can u give me a 5 star plz ty :)
The company plans to sell the video game console at a loss in order to increase its sale. It will make up for the loss from profits made from the sales of Games for the system. The company will lose $50 for each console it sells and earn a profit of $15 for each game sold for the system. Write an equation that can be used to determine T the total amount the company will earn from a customer who buys a consul and G games
Answer: \(T= 15 G - 50\)
Step-by-step explanation:
As per given,
Total earning = (profit per game) x (Number of games) -(loss in consul)
Let T be the total amount the company will earn from a customer who buys a consul and G games.
Since, loss in consul = $50
profit per game = $15
Then required equation will be :
\(T= 15 G - 50\) , it determines T the total amount the company will earn from a customer who buys a consul and G games.
HELP ALSO DONT CLICK THE LINKS THIS GUY IS PUTTING
Answer:
What do you need help with?
Answer:
where's the question you need help with??
Explain the significance of the equation 100x -2y+ 400 = 0 which represents the hourly cost of a car repair.
Answer: The significance is that it is how much you will pay for the total repair which will help you know how much money you will spend.
Step-by-step explanation:
Can someone pls help me with this
The value of the expression 9 + 3 × 5² - 10 × 6 following the rules of PEMDAS is 24.
What is the value of the expression?9 + 3 × 5² - 10 × 6
Based on the operation of PEMDAS
P = parenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = SubtractionSo,
9 + 3 × 5² - 10 × 6
Solve the exponent
= 9 + 3 × 25 - 10 × 6
Solve the multiplication
= 9 + 75 - 60
Add
= 84 - 60
= 24
Ultimately, 24 is the solution to the given expression.
Read more on exponents:
https://brainly.com/question/11975096
#SPJ1
Find the directional derivative of the function at the given point in the direction of the vector v.
f(x, y) = 3ex sin y, (0, π/3), v =
leftangle0.gif
−5, 12
rightangle0.gif
Duf(0, π/3) =
The directional derivative of f at the point (0,π/3) in the direction of v is (27√3 - 15)/26.
To find the directional derivative of the function f(x,y) = 3ex sin y at the point (0,π/3) in the direction of the vector v = (-5,12), we need to compute the gradient of f at the point (0,π/3) and then take the dot product of that with the unit vector in the direction of v.
First, we need to find the gradient of f:
∇f(x,y) = <3ex cos y, 3ex sin y>
At the point (0,π/3), this becomes:
∇f(0,π/3) = <3cos(π/3), 3sin(π/3)> = <3/2, 3√3/2>
To get the unit vector in the direction of v, we need to divide v by its magnitude:
|v| = √((-5)^2 + 12^2) = 13
So, the unit vector in the direction of v is:
u = v/|v| = (-5/13, 12/13)
Finally, we can compute the directional derivative:
Duf(0,π/3) = ∇f(0,π/3) · u = <3/2, 3√3/2> · (-5/13, 12/13)
= (-15/26)(3/2) + (36/26)(3√3/2)
= (27√3 - 15)/26
To know more about directional derivative, here
brainly.com/question/30365299
#SPJ4
Ann sells beaded necklaces. Each large necklace sells for $5.40 and each small necklace sells for $4.30. How much will she earn from selling 3 large necklaces and 1 small necklace?
Answer
20.5
Step-by-step explanation:
You multiply 5.4 and 3 to get 16.2. Then you add 16.2 and 4.3 to get 20.5.
2.Sierra buys a pack of candy that was on sale for 40 % off , the original price of the candy was 10 dollars . What is the new cost ?
Given :
The original price of the candy = $10
What is the Decimal Represention of 9/11
Answer: the answer is A 0.81
Viyan age is 2 / 5 of the age of her eldest brother. If his brother's age is 35 years, then how old is viyan?
ALERT NEED HELP PLEASE ASAP
if x + y = x y = 5 then x ^2 y + X Y ^ 2 equals
Answer:
25
Step-by-step explanation:
Note x^2y + xy^2 = xy(x+y)
We know xy = 5 and x+y = 5, so
5*5=25
4 ft
3 ft
A 60 sq ft
B 69 sq ft
6 What is the area of the figure?
D
3 ft
81 sq ft
90 sq ft
2 m
3m 3m
4 m
8 m
2 m
7m
Based on the information in the graph, we can infer that the area of the figure is 57 square feet (option C).
How to calculate the area of the figure?To calculate the area of the figure we must calculate the area of two segments of the figure and then add them. First we can calculate the area of the area on the left that is 3 * 4.
3*4=12ft²Then we must find the area of the area on the right which is 7.5 ft * 6ft.
7.5ft * 6ft = 45ft²Finally we must add both areas to find the total area:
12ft² + 45ft² = 57ft²Note: This question is incomplete. Here is the complete information:
Image attached.
Learn more about area in: https://brainly.com/question/27683633
#SPJ1
A sweater is marked down 20% off the original price. The original price was 33.50. What is the sale price of the sweater after marked down
Answer:
I think its $26.80
Step-by-step explanation:
A straw is placed inside a rectangular box that is 6 inches by 4 inches by 7 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in the simplest radical form.
The length of the straw is √101 inches
How to find the length of the straw?The rectangular box has:
length (l) = 6 inches
breadth (b) = 4 inches
height (h) = 7 inches
The straw is said to fit into the box diagonally from the bottom.
So, the length of the straw is calculated as:
S= √(l² + b² + h²)
S = √(6² + 4² + 7²)
S = √101 inches
Learn more about rectangles on:
https://brainly.com/question/17297081
#SPJ1
find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 4 sec(x), y = 6, − 3 ≤ x ≤ 3 ; about y = 4
The centroid of the region bounded by the curves y = 2 sin(3x), y = 2 cos(3x), x = 0, and x = 12 is approximately (x, y) = (6, 0).
To find the centroid of the region bounded by the given curves, we need to determine the x-coordinate (x-bar) and y-coordinate (y-bar) of the centroid. The x-coordinate of the centroid is given by the formula:
x-bar = (1/A) * ∫[a,b] x * f(x) dx,
where A represents the area of the region and f(x) is the difference between the upper and lower curves.
Similarly, the y-coordinate of the centroid is given by:
y-bar = (1/A) * ∫[a,b] 0.5 * [f(x)]^2 dx,
where 0.5 * [f(x)]^2 represents the squared difference between the upper and lower curves.
Integrating these formulas over the given interval [0, 12] and calculating the areas, we find that the x-coordinate (x-bar) of the centroid is equal to 6, while the y-coordinate (y-bar) evaluates to 0.
Therefore, the centroid of the region is approximately located at (x, y) = (6, 0).
Learn more about centroid here:
https://brainly.com/question/29756750
#SPJ11
Let f(x)=√x with f:R→R. Discuss the properties of f. Is it injective, surjective, bijective, is it a function? Why or why not? Under what conditions change this?Explain using examples.I'm having some trouble figuring out this equation.
The function f(x)=√x with f:R→R is injective and surjective but not bijective.
Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.
Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.
Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.
Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.
In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.
To know more on Bijective
https://brainly.com/question/29738050
#SPJ4