If the measurements were taken in centimeters rather than inches, the value of the correlation coefficient would be the same. Correlation coefficient measures the linear relationship between two sets of variables, regardless of the unit measure used.
The correlation coefficient ranges from -1 to +1. A correlation coefficient of 1 indicates a perfect positive correlation between two variables, meaning that as one variable increases, the other variable increases proportionally. A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as one variable increases, the other decreases proportionally. Finally, a correlation coefficient of 0 indicates no linear relationship between the two variables.
In summary, the correlation coefficient is not influenced by the unit measure used, so if the measurements were made in centimeters instead of inches, the correlation coefficient would still be the same.
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What is an equation of the vertical line that passes through (−2, −9)?
x=?
Answer:
x = -2
Step-by-step explanation:
∆ABC is reflected across the y-axis and translated 3 units up to create ∆XYZ. Select all statements that are true about ∆ABC and ∆XYZ.
Answer:
Step-by-step explanation:
Suppose A is (-3,6) when it starts out.
When A is reflected across the y axis, it takes on the opposite sign.-3 becomes + 3Nothing happens to the y value of the point from this transformationThe new point is X(3,6)Now we take the reflected point and move it three units. up
Up means increase the y value of the new point (X)The y value = 6Increase the y value by 3This makes 6 + 3 = 9So after all that X becomes (3,9)Answer:
∆ABC is congruent to ∆XYZ.
Corresponding sides of ∆ABC and ∆XYZ are not congruent.
Corresponding angles of ∆ABC and ∆XYZ are congruent.
Step-by-step explanation:
find slope (4, -3) (7,10)
Answer:
The answer is 4 1/3
Step-by-step explanation:
\(m=\frac{10-(-3)}{7-4} =\frac{13}{3} =(simplify)= 4\frac{1}{3}\)
Stephen Curry plays for the Golden States Warriors and touts a 90% free throw shooting record. If he shot 20 free throws in a game, how many did he miss?
I NEED HELPPPPPPPP PLEASE
He missed 2.
90% of 10 is 9. So he makes 9 shots and misses 1 for every 10 free throws.
So just double that number (1 shot missed) and so you get 2 missed shots
Hope this helps, and please consider marking branliest if this did
what conic section is described by the equation 4x2 3xy 5y2 x y = 0?
An ellipse is described by this equation. It is a conic section because it has two variables, x and y, that are squared and multiplied together. The conic's shape is fixed because the equation also contains a constant.
An ellipse is described by this equation. It is a conic section because it has two variables, x and y, that are squared and multiplied together. A constant in the equation, 4x2 + 3xy + 5y2 - x - y = 0, shows that the conic's shape is fixed. The equation is neither a parabola nor a hyperbola because it lacks any x or y terms. The equation therefore describes an ellipse. An oval-shaped closed curve known as an ellipse is produced when a plane and a cone intersect. The foci, or the two places at which the ellipse is symmetric, serve as its two defining points. The standard form of an ellipse, which is centred at the origin and contains the equation A(x2) + B(xy) + C(y2) + D(x) + E(y) + F = 0, is described by the equation provided. In this case, the constants are A=4, B=3, C=5, D=1, and E=1, and F=0. The major axis to minor axis ratio in the equation is 4:5, describing a moderately flattened ellipse. The equation can be used to determine the ellipse's area, circumference, and other parameters because it is symmetrical.
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9. Aaron has a lemonade business. If he sells each glass of lemonade for $2.75, and he sold 11
glasses of lemonade today, how much money did Aaron make?
Help me please this is due answer the question please
Answer:
$27.75
Step-by-step explanation:
Multiply $2.25 by 11 to get the answer
Step-by-step explanation:
He sold 11 lemonades for $2.75 each, so you need to multiply the numbers to get your answer-
11 x 2.75 = 30.25
Which means he made $30.25
What is the vertex of f(x)=x^2−12x+25 ?
Answer:
vertex is (6, -11)
Step-by-step explanation:
Given equation
f(x) = x² - 12x + 25
is that of an upward-facing parabola(since the coefficient of x² is positive).
The vertex will be at a minimum and its x-coordinate can be found by finding the first derivative of f(x), setting it equal to zero and solving for x
f'(x) = d/dx(x² - 12x + 25)
= 2x - 12
f'(x) = 0 ==> 2x - 12 = 0
2x = 12
x = 6
Substitute x = 6 in f(x) to get
f(6) = 6² - 12(6) + 25
= 36 - 72 + 25
= -11
So the vertex is at (6, -11)
Anybody? Showing the work too plz?
Write the following as a radical expression.
7^{\frac{7}{8}}
Answer: $\sqrt[8]{7^7}$
Step-by-step explanation:
trust me and use tutorly.ai
1. In circle P, what is the measure of AB?
128°
P
B
AC is a diameter and ZAPB is a right angle.
I need answers asap please
a
we have (-5-1;-3-2) so answer is A
Lazare is dividing 52.8 ounces of cereal equally into 9 bags. Which is the best way to estimate the amount of cereal in each bag?
If I'm not mistaken it's 5.9
Estimate amount of cereal in one bag is 5.867 ounces.
What are mathematical operations?Calculate the answer using a math operator is referred to as a mathematical operation.
Basic mathematical operations are addition, multiplication, subtraction and division.
Total quantity of cereal that Lazare has = 52.8 ounces.
And number of bags into which cereal equally divides = 9
To find the amount of cereal in each bag,
Use mathematical operations,
Since, total bags are 9 and amount of cereal is 52.8 ounces.
So, in one bag amount of cereal = 52.8 / 9 = 5.8666 = 5.867
In one bag there will be 5.867 ounces of cereal.
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Ravi presses f12 (command shift s) and then clicks on the tools button. what is he doing?
He is opening a dialog box to access a second workbook by pressing F12 and then clicking tool box.
A dialog box is a temporary window an application creates to retrieve user input. An application typically uses dialog boxes to prompt the user for additional information for menu items.It (also spelled dialogue box, also called a dialog) is a common type of window in the GUI of an operating system. The dialog box displays additional information, and asks a user for input. For example, when you are using a program and you want to open a file, you interact with the "File Open" dialog box.
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you are playing a game of hide - and - seek with two friends . while one of your friends counts , you and your other friend are given a chance to hide in one of five possible hiding spots . you are each allowed to pick a hiding spot , and are permitted to share a hiding spot . your friend finishes counting and checks one of the five hiding spots . assuming that everyone's decisions are made uniformly at random , what are the chances that your friend does not find anyone in the first spot that they check ?
The probability the friend finds no one in the first spot is 60%.
What is probability?Probability is the chance or likelihood that an expected event occurs when there are many possible outcomes or events.
For instance, the probability that when the counting friend goes to the hiding spot, they can or cannot find a friend there.
The two friends can only hide in 2 spots, leaving 3 spots with nobody.
The number of hiding spots = 5
The number of friends hiding = 2
The number of counting friends = 1
The number of spots they can hide = 2 out of 5
The probability of finding a person in a hiding spot = 2/5 or 40%
The probability of not finding a person in a hiding spot = 3/5 (1 - 2/5) or 60% (1 - 40%).
The chances that your friend finds anyone in the first spot are 60%.
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How do you interpret a coefficient of determination, r^2, equal to 0.84?Choose the correct answer belowA. The interpretation is that 0.16% of the variation in the dependent variable can be explained by the variation in the independent variableB.The interpretation is that 84% of the variation in the dependent variable can be explained by the variation in the independent variableC. The interpretation is that 16% of the variation in the dependent variable can be explained by the variation in the independent variableD. The interpretation is that 0.84% of the variation in the dependent variable can be explained by the variation in the independent variable
The correct statement about coefficient determination is option (d) The interpretation is that 84% of the variation in the dependent variable can be explained by the variation in the independent variable
The coefficient of determination takes values between 0 and 1. A value of 0 means that the independent variable does not explain any variability in the dependent variable, while a value of 1 means that the independent variable explains all the variability in the dependent variable.
To summarize, the coefficient of determination, r², is a measure of determination that indicates the proportion of variation in the dependent variable that can be explained by the variation in the independent variable.
In this case, an r² value of 0.84 indicates a strong relationship between the independent and dependent variables, and 84% of the variability in the dependent variable can be explained by the variation in the independent variable.
Therefore, the correct option is (d).
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A portrait without its frame has a height 2.5 times its width, w, in inches. Its frame is 3 in. wide all
along its perimeter. What is an expression for the area of the framed portrait in terms of w? Simplify
your expression and write it in standard form.
Answer:
2 inches
Step-by-step explanation:
it is ,2inches because they are joining
A recipe calls for 10 cups of flour to make 50 pancakes. How many pancakes can be made with a single cup of flour?
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
With a 1:5 ratio of flour to pancakes, 5 would be the correct answer
A model boat i 15 inche long if the boat i bulit to a cale of 1 : 250 inche how long i the real boat
define a variable
write a porortion
olve the porportion
anwer with word
If the scale of drawing is 1 inches : 250 inche and the real horse height is 15 inche, then the height of the horse in drawing is 0.06 inches.
What does a scale look like in math?The ratio that describes the relationship between the true figure itself and model is called the scale. It serves as a representation of the real statistics in smaller units on maps. A scale of 1:5, for instance, indicates that 1 on the map is approximately the size of 5 in the actual world.
Briefing:The scale of drawing the horse = 1 inch :
Therefore in scale
Horse height in drawing equals one inch
The height of the horse = 250 inche
The original height of the horse = 15 inche
The height in the picture = x inches
To find the height the horse in the picture, we have to use proportion
1 inch : 250 inche = x inches : 15 inche
1 / 250 = x / 15
1 × 15= 250x
250x = 15
x = 15/250
x = 0.06 inches
Therefore, the height of the horse in drawing is 0.06 inches
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James can read 520 words in 2 minutes and Luke can read 960 in 5 at what rates are james and Luke able to read?
Voting in Seaside's annual school board elections has been going down by 10% from one election to the next. If 990 parents voted this year, how many will vote 4 years from now?
If necessary, round your answer to the nearest whole number.
Answer:
FV= 676
Step-by-step explanation:
Giving the following formula:
Present value (PV)= 990 parents
Decrease rate (d)= 10% = 0.1 per year
Number of periods (n)= 4
To calculate the future value of votes, we need to use the following formula:
FV= PV / (1 + d)^n
FV= 990 / (1.1^4)
FV= 676
Point A(12, 0) is on the x-axis and point B(0,−5) is on the y-axis. Find the distance between points A and B
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a total of $48. Which of the following are true? Select all that apply.
The true statements are:
Reducing the number of pounds of almonds by one results in a total cost of $40
The cost in dollars, of 1 pound of almonds is modeled by the equation 2(a−4)+3a=48
What are the true statements?The first step to take in order to determine the cost of one pound of pistachios and almonds is to form a system of linear equations:
2p + 3a = $48 equation 1
p - a = $4 equation 2
Where:
p = cost of one pound of pistachios
a = cost of one pound of almonds
The elimination method would be used:
Multiply equation 2 by 2
2p - 2a = $8 equation 3
Subtract equation 3 from equation 2 :
5a = $40
Divide both sides of the equation by 5
a = $40 / 5
a = $8
Substitute for a in equation 1:
2p + 3(8) = $48
2p + 24 = 48
2p = 48 - 24
2p = 24
p = 24 / 2
p = $12
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Help?? Ty!! for the help much love!!
Round off the nec est tens 160
Answer:
200 is the answer since you round up
What is the degree of
the polynomial
below?
3- 14x4 – 2x8 + 20x +
4x2
The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?
Answer:
\(h(t) = 10 + 5t\)
70 feet
Your height in 5 seconds is 35 feet
Step-by-step explanation:
From the question, we understand that:
\(Initial\ Height = 10\)
\(Rate = 5\) per second
Solving (a): Equation for h(t)
This implies that the height at t seconds and is calculated as thus:
\(h(t) = Initial\ Height + Rate * t\)
Where t represents seconds
Substitute values for Initial Height and Rate
\(h(t) = 10 + 5* t\)
\(h(t) = 10 + 5t\)
Solving (b): Height in 12 seconds
This implies that:
\(t = 12\)
Substitute 12 for t in \(h(t) = 10 + 5t\)
\(h(12) = 10 + 5 * 12\)
\(h(12) = 10 + 60\)
\(h(12) = 70\)
Hence, your height will be 70 feet
Solving (c): h(5) = 35 means?
Using the illustration in (b) above;
This means that your height in 5 seconds is 35 feet
Evaluate ∫∫∫B(4z^3 +3y^2 + 2x)dV
B={(x,y,z)∣0≤x≤10,0≤y≤9,0≤z≤3}
Evaluate J₁₂ (42³ + 3y² + 2x)dv B = {(x, y, z) | 0 ≤ x ≤ 10,0 ≤ y ≤ 9,0 ≤ z ≤ 3} .
The solution to the triple integral is 1,494,000. This can be found by evaluating the integral in Cartesian coordinates, using the following steps: 1. Rewrite the integral in Cartesian coordinates. and 2. Integrate with respect to x, y, and z in that order.
The integral in Cartesian coordinates is:
```
∫∫∫_B (4z^3 + 3y^2 + 2x) dV = ∫_0^10 ∫_0^9 ∫_0^3 (4z^3 + 3y^2 + 2x) dx dy dz
```
We can integrate with respect to x first. The integral of 2x with respect to x is x^2. We can then substitute in the limits of integration to get:
```
∫∫∫_B (4z^3 + 3y^2 + 2x) dV = ∫_0^10 ∫_0^9 ∫_0^3 (4z^3 + 3y^2 + (x^2)^2) dx dy dz
```
The integral of (x^2)^2 with respect to x is x^3. We can then substitute in the limits of integration to get:
```
∫∫∫_B (4z^3 + 3y^2 + 2x) dV = ∫_0^10 ∫_0^9 ∫_0^3 (4z^3 + 3y^2 + 100x) dx dy dz
```
We can now integrate with respect to y. The integral of 3y^2 with respect to y is y^3. We can then substitute in the limits of integration to get:
```
∫∫∫_B (4z^3 + 3y^2 + 2x) dV = ∫_0^10 ∫_0^3 (4z^3 + 100 * (0^3) + 100 * 0) dx dz
```
The integral of 100 * 0 with respect to y is 0. We can then substitute in the limits of integration to get:
```
∫∫∫_B (4z^3 + 3y^2 + 2x) dV = ∫_0^10 (4z^3 + 100 * 0) dx dz
```
The integral of 4z^3 with respect to z is z^4 / 4. We can then substitute in the limits of integration to get:
```
∫∫∫_B (4z^3 + 3y^2 + 2x) dV = (4 * (10)^4 / 4) = 1,494,000
```
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if an unknown compound has a moderately intense, wide peak in the 3200-3400 cm–1 region, what functional group is likely present?
A moderately intense, wide peak in the 3200-3400 cm⁻¹ region is indicative of the presence of hydroxyl (-OH) functional groups.
Identification of Hydroxyl Functional Groups Using Infrared Spectroscopy
One specific region of the infrared spectrum that can provide valuable information is the 3200-3400 cm⁻¹ region. If an unknown compound displays a moderately intense, wide peak in this region, it is highly likely that it contains a hydroxyl (-OH) functional group.
Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds.
The presence of hydroxyl groups can be further confirmed by looking for other characteristic peaks in the IR spectrum, such as a broad peak in the 1600-1700 cm⁻¹ region for the bending vibrations of the -OH bond. Overall, infrared spectroscopy can be an effective method for identifying hydroxyl functional groups in unknown compounds.
Infrared spectroscopy is a powerful tool in the identification of functional groups in unknown compounds. This is because the stretching vibration of the -OH bond falls in the range of 3200-3400 cm⁻¹ and the hydroxyl group is characterized by a broad, intense peak due to the high density of vibrational modes.
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Below is an overview of how materials move through the supply chain. For each set of parties listed you’ll also see a loss or defect rate associated with that portion of the supply chain.
A. Suppliers: 1.0% of all materials delivered are unacceptable for use
B. Manufacturing: 0.9% of items produced are defective and are thus not shipped
C. Distribution: 1.1% of the items shipped are lost, stolen, or damaged in transit
D. Retail Store: 1.2 % of items are stolen/damaged and thus unavailable for sale
All parties involved in the supply chain must work together to reduce losses and improve the supply chain's efficiency.
The supply chain is responsible for moving materials through various parties. Each party is accompanied by a loss or defect rate that can have a significant impact on the overall supply chain. The loss or defect rate associated with each party of the supply chain is listed below:
A. Suppliers: 1.0% of all materials delivered are unacceptable for use. This means that the suppliers are responsible for the quality and delivery of raw materials. Suppliers should ensure that the materials provided are of the required standard, meet the manufacturer's specifications, and are delivered on time.
B. Manufacturing: 0.9% of items produced are defective and are thus not shipped. The manufacturer should ensure that products are manufactured to meet quality specifications, and that product defects are identified and corrected.
C. Distribution: 1.1% of the items shipped are lost, stolen, or damaged in transit. The distribution parties are responsible for moving the products from the manufacturing plant to the retail stores. They are responsible for ensuring that the product is delivered to the right location at the right time, and that it is in the right condition.
D. Retail Store: 1.2% of items are stolen/damaged and thus unavailable for sale. Retailers are responsible for ensuring that products are on the shelves and in the right condition, with the right pricing, in the right quantity, at the right time. They must ensure that products are protected from damage or theft.
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paul can motorboard downstream a distane of 24 miles in two hours. going upstream, it takes him four hours to motorboat the same distance. how fast could the motorboat go if there were not current, and what is the speed of the current answer
The speed of the motorboat without the current is 9 mph, and the speed of the current is 3 mph.
To solve this problem, let's denote the speed of the motorboat as "b" (in miles per hour) and the speed of the current as "c" (in miles per hour). We'll use the following formula to calculate the boat's speed without the current:
Speed without current = (Speed downstream + Speed upstream) / 2
Given that Paul can motorboard downstream a distance of 24 miles in two hours, we can write the equation:
24 miles = (b + c) * 2 hours
We also know that it takes him four hours to motorboat the same distance upstream, which gives us:
24 miles = (b - c) * 4 hours
Now, let's solve these two equations simultaneously to find the values of b (boat's speed without current) and c (speed of the current).
Solving the first equation:
24 = 2(b + c)
12 = b + c (Dividing both sides by 2)
Solving the second equation:
24 = 4(b - c)
6 = b - c (Dividing both sides by 4)
Adding the two equations together:
12 + 6 = b + c + b - c
18 = 2b
b = 9 mph
Substituting the value of b into one of the equations to find the value of c:
6 = 9 - c
c = 9 - 6
c = 3 mph
So, the speed of the motorboat without the current is 9 mph, and the speed of the current is 3 mph.
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