C. exponential decay
what measurement scale is used in the following example? high school soccer players classified by their athletic ability: superior, average, above average:
The measurement scale used in the given example is an ordinal scale.
An ordinal scale is a type of measurement scale used to categorize or rank objects or events based on their relative size, order, or position. In the given example, the soccer players are classified into three categories - superior, above average, and average based on their athletic ability, which is a relative measure of their ability compared to other players. The categories are not based on any numerical value or fixed criteria, but rather on a subjective assessment of their ability. Therefore, the data is on an ordinal scale.
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Consider the quadratic function f(x) = 2x2 – 8x – 10.
The x-component of the vertex is?
Answer:
144
Step-by-step explanation:
What is the solution set of the equation using the quadratic formula? x2+6x+10=0 {−3+2i,−3−2i} {−6+2i,−6−2i} {−3+i,−3−i} {−2i,−4i}
Answer:
The solution set of the quadratic function \(x^{2}+6\cdot x +10\) is \(\{-3+i,-3-i\}\) .
Step-by-step explanation:
Let be a second-order polynomial (quadratic function) is standard form and equalized to zero:
\(a\cdot x^{2}+b\cdot x + c = 0\)
Its roots can be determined by the Quadratic Formula in terms of its polynomial coefficients, which states that:
\(x_{1,2} = \frac{-b\pm\sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}\)
Given that \(a = 1\), \(b = 6\) and \(c = 10\), the roots of the polynomial are, respectively:
\(x_{1,2} = \frac{-6\pm \sqrt{6^{2}-4\cdot (1)\cdot (10)}}{2\cdot (1)}\)
\(x_{1,2} = -3\pm i\)
\(x_{1} = -3+i\)
\(x_{2} = -3 -i\)
The solution set of the quadratic function \(x^{2}+6\cdot x +10\) is \(\{-3+i,-3-i\}\) .
The volume of a child’s model plane is 1200cm3. The volume of the full size plane is 4050m3. Find the scale of the model in the form 1:n.
the scale of the airplane is 1/3 the size of its counter part
You need to build a model that predicts the volume of sales (Y) as a function of advertising (X). You believe that sales increase as advertising increase, but at a decreasing rate. Which of the following would be the general form of such model? (note: X^2 means X Square)
A. Y ^ = b0 + b1 X1 + b2 X2^2
B. Y ^ = b0 + b1 X + b2 X / X^2
C. Y ^ = b0 + b1 X + b2 X^2
D. Y ^ = b0 + b1 X
E. Y ^ = b0 + b1 X1 + b2 X2
The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by Y^ = b0 + b1X + b2X². Option C.
The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.
In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.
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Can someone please help me with this question please.
The triangles are being transformed on the basis of their co ordinates .
Given,
Co ordinates of smaller triangle :
Let the vertices of smaller triangle be A , B , C .
A = (2,1)
B = (3,1)
C = (2,3)
Now,
The the triangle is transformed into the bigger one.
Let the vertices of the triangle be A' , B' , C'
A' = (4,3)
B' = (7,3)
C' = (4,9)
So,
For vertex A x co ordinate and y co ordinate are increased by 2 units.
For vertex B x co ordinate is increased by 4 units and y co ordinates is increased by 2 units .
For vertex c x co ordinate is increased by 2 units and y co ordinates is increased by 6 units .
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A rational function in the form axm+.../bxn+... has a slant (oblique) asymptote when ________.
PLEASE HELP
Answer:
occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator
Step-by-step explanation:
PQ= RQ and PS= RS a=?
The measure of angle a is 15 degrees and this can be determined by using the properties of the isosceles triangle.
What are interior angles?In geometry, interior angles are formed in two ways. One is inside a polygon, and the other is when parallel lines cut by a transversal. Angles are categorized into different types based on their measurements.
Given:
The length of the segment PQ is equal to the length of the segment RQ.The length of the segment PS is equal to the length of the segment RS.The following steps can be used in order to determine the measure of angle a:
Step 1 - According to the given data, it can be concluded that triangle PQR and triangle PSR are isosceles triangles.
Step 2 - Apply the sum of interior angle property on triangle PQR.
\(\angle\text{Q}+\angle\text{P}+\angle\text{R}=180\)
\(\angle\text{Q}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-60\)
\(\angle\text{R}=60^\circ\)
Step 3 - Now, apply the sum of interior angle property on triangle PSR.
\(\angle\text{P}+\angle\text{S}+\angle\text{R}=180\)
\(\angle\text{S}+2\angle\text{R}=180\)
\(2\angle\text{R}=180-90\)
\(\angle\text{R}=45^\circ\)
Step 4 - Now, the measure of angle a is calculated as:
\(\angle\text{a}=60-45\)
\(\angle\text{a}=15\)
The measure of angle a is 15 degrees.
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Determine the solution for the equation.
45 - k = 27, k = 15, 16, 17
Answer:
15
Step-by-step explanation:
45 - 27 = 15 B)
How do I find the missing length of an isosceles triangle?
To find the missing length of an isosceles triangle, you need to have information about the lengths of at least two sides or the lengths of one side and an angle.
If you know the lengths of the two equal sides, you can easily find the length of the remaining side. Since an isosceles triangle has two equal sides, the remaining side will also have the same length as the other two sides.
If you know the length of one side and an angle, you can use trigonometric functions to find the missing length. For example, if you know the length of one side and the angle opposite to it, you can use the sine or cosine function to find the length of the missing side.
Alternatively, if you know the length of the base and the altitude (perpendicular height) of the triangle, you can use the Pythagorean theorem to find the length of the missing side.
In summary, the method to find the missing length of an isosceles triangle depends on the information you have about the triangle, such as the lengths of the sides, angles, or other geometric properties.
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Convert 3.9m^2 into cm^2
I will leave good review!
Answer:
Step-by-step explanation:
To convert square meters to square centimeters, we need to multiply by the conversion factor (100 cm / 1 m)^2.
So,
3.9 m² = 3.9 × (100 cm / 1 m)²
3.9 m² = 3.9 × 10,000 cm²
3.9 m² = 39,000 cm²
Therefore, 3.9 square meters is equal to 39,000 square centimeters.
Find the distance between the two points in simplest radical form (-7,-2) and (-3,-5)
The distance between the two points in simplest radical form (-7,-2) and (-3,-5) is 5 units .
To calculate : The distance between the two points can be calculated by the distance formula
The given points are (-7,-2) and (-3,-5)
After looking at the points it is clear that the given points lie in the third quadrant of the graph
thus y2 = - 5 and y1 = -2
and x2 = -3 and x1 = -7
As we know the distance formula = \(\sqrt{(y2 - y1 )^{2} + ( x2 - x 1) ^{2} }\)
= \(\sqrt{( - 2 - (-5) )^{2} + ( -3 - (-7)) ^{2} }\)
= \(\sqrt{(3 )^{2} + ( 4)) ^{2} }\)
= \(\sqrt{9 + 16}\)
= \(\sqrt{25}\)
= 5 units
Thus the required distance between the given points is 5 units .
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the mayor of a town has proposed a plan for the construction of an adjoining community. a political study took a sample of 800 voters in the town and found that 64% of the residents favored construction. using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is more than 60%. determine the decision rule for rejecting the null hypothesis, h0, at the 0.10 level.
The Decision rule for rejecting the null hypothesis, Z > 1.28
What is Null Hypothesis?
The null hypothesis is a common statistical theory that asserts that no statistical link or significance exists between two sets of observed data and measured phenomena based on a single observed variable.
Given,
Sample Voters - 800
Residents Favored Construction - 64%
Percentage of residents who favour construction is more than 60%.
This is right tailed test, for α = 0.1
Critical Value Z is 1.28
Hence reject h0 if Z >1.28
Z > 1.28 is the decision rule for rejecting the null hypothesis at the 0.10 level
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If you live in california, the decision to buy earthquake insurance is an important one. a survey revealed that only 133 of 337 randomly selected residences in one california county were protected by earthquake insurance. what is the p-value associated with the test statistic calculated to test the claim that less than 40% of the county residents are protected by earthquake insurance.
The p-value associated with the test statistic calculated to test the claim that less than 40% of the county residents are protected by earthquake insurance is 0.42
The term p - value is defined as a statistical measurement used to validate a hypothesis against observed data.
Here we have given that a survey revealed that only 133 of 337 randomly selected residences in one California county were protected by earthquake insurance.
Then the Null hypothesis for the given situation is written as,
=> H0 = p => 0.40
And the Alternative hypothesis is written as
=> H1 = p <0 .40
Then the value of za is calculated as,
=> za = 133/137
=> za = 0.39
Now by using a formula for a binomial proportion one-sample z-test with your data included, we have
=> z = 0.39 - 0.40
Then the test value is calculated as
=> (0.39 - 0.40)/√[(0.40)(0.60)/337]
Therefore, the value of P-value is 0.42.
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I need help with this question I’m always off by a few points
Given:
Radius of circle, r = 2 cm
Central angle, θ = 140 degrees
Let's find the area of the shaded region.
To find the area of the shaded region apply the formula:
\(A=\frac{\theta}{360}*\pi r^2\)Where:
θ is the central angle = 140 degrees
r is the radius = 2 cm
Thus, we have:
\(\begin{gathered} A=\frac{140}{360}*\pi *2^2 \\ \\ A=0.389*\pi *4 \\ \\ A=1.6\pi\text{ cm}^2 \end{gathered}\)Therefore, the area of the shaded region in terms of π is 1.6π cm².
ANSWER:
1.6π cm²
please helpppppp!Will mark brainlyist
Answer:
both
Step-by-step explanation:
good because of globalism
bad because of colonialism
What are some Mathematical Concepts for Slopes and equations? Any kind of help would be much appreciated.
Answer:25256
Step-by-step explanation:
49000000 -8373448588766
answer:
-8.3733995^12
how many terms are in the following expression?
The number of terms in the expression, 6 + 2 x - 4 y + 5 z is 4 terms.
How to find the number of terms ?In the expression 6 + 2x - 4y + 5z, the number of terms is four, not the number of signs. The terms in this expression are:
62 x- 4 y 5 zEach term is separated by an operator (either addition or subtraction), which is represented by a sign. Therefore, the expression contains three addition signs and one subtraction sign.
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The full question is:
How many terms are in the following expression 6 + 2 x - 4 y + 5 z
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented y=12x−2. A y=12x−2 B y=−2x+4 C y=12x−72 D y=12x−52
Answer:
Step-by-step explanation:
y=12x−2. parallel lines have the same slope 12
find b at point (3,-2)
y=12x+b
-2=12(3)+b
-2-36=b
b=-36
the equation has to be y=12x-38
when you input the point(3,-2)
-2=12(3)-38
-2=-2 correct
The equation of line is \(y=12x-38\) which is parallel to given line \(y=12x-2\)
Equation of parallel line given is, \(y=12x-2\)
Compare above equation of line from \(y=mx+c\)
Since, all parallel lines have same slope.
Equation of line become,
\(y=12x+c\)
Since, line passing through point (3, -2).
\(-2=12(3)+c\\\\c=-2-36=-38\)
Hence, equation of line is \(y=12x-38\) which is parallel to line \(y=12x-2\)
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help me with this ques. (need solution and answer both) thanks so much <3
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. The student plans to test the hypotheses, H0: μ = 1 versus Ha: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night. The conditions for inference are met. The test statistic is t = –1.58 and the P-value is between 0.05 and 0.10. What conclusion should be made at the significance level, Alpha = 0.10?
Reject H0. There is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Reject H0. There is not convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Fail to reject H0. There is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Fail to reject H0. There is not convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
Answer: Choice A
Reject the null H0
There's convincing evidence that the average amount time spent studying is less than one hour.
==============================================================
Explanation:
There's a lot of info to sort through here. However, the only things we care about really are alpha and the p-value. While we don't know what the p-value is exactly, we know that it's between 0.05 and 0.10, which would make it smaller than alpha = 0.10
Any time the p-value is smaller than alpha we reject the null. We side with the alternative hypothesis and conclude that mu < 1. There's convincing evidence that the average amount of time studied is less than an hour.
One way to help remember whether to accept or reject the null is the phrase "if the p-value is low, then the null must go". By "low", it means "p-value smaller than alpha". We can think of the p-value as the probability of selecting that test statistic or more extreme. With a small p-value, it's fairly unlikely that will happen so that could mean that the null distribution isn't what we think it is (ie the true mean is likely smaller than 1).
The conclusion that can be made at the significance level, Alpha = 0.10 is to reject the null hypothesis.
What is a null hypothesis?It should be noted that a null hypothesis simply means there's no significant relationship between the variables.
In this case, the conclusion that can be made at the significance level, Alpha = 0.10 is to reject the null hypothesis.
Therefore, there is convincing evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour.
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Suppose a certain cell reproduces itself in four hours. If a lab researcher begins with 50 cells, how many cells will there be after one day, two days, and three days? (Hint: Use the exponential function y = 50(2x). )
By working with the exponential function, we will see that:
After 1 day there are 3,200 cells.After 2 days there are 204,800 cells.After 3 days there are 13,107,200 cells.How to find the population of the cell?We know that the population of the cell doubles every four hours, then we can write:
y = 50*(2)^x
Where x is time in lapses of 4 hours, and 50 is the initial population of the cell.
In one day, there are 6 groups of 4 hours, then after one day we have:
y = 50*(2)^6 = 3,200 cells.In two days, there are 12 groups of 4 hours, then after two days we have:
y = 50*(2)^12 = 204,800 cells.In 3 days, there are 18 groups of 4 hours, then after 3 days there are:
y = 50*(2)^18 = 13,107,200 cells.If you want to learn more about exponential functions, you can read:
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this square-based oblique pyramid has a volume of 125\text{ m}^3125 m 3 125, start text, space, m, end text, cubed
Given that the volume of a square-based oblique pyramid is 125 m³ and the square base has sides of 5 meters, we can calculate the height of the pyramid using the formula for the volume of a pyramid. The height of the pyramid is approximately 25 meters.
The volume of a pyramid is given by the formula V = (1/3) * A_base * h, where A_base is the area of the base and h is the height of the pyramid. In this case, the volume is given as 125 m³, and the base is a square with sides of 5 meters. The area of a square base is calculated by squaring one of the sides, so A_base = 5² = 25 m².
We can substitute the known values into the volume formula:
125 = \(\frac{1}{3} * 25 * h\)
To solve for h, we can rearrange the equation:
125 = \(\frac{25}{3} * h\)
h = \(\frac{(125 * 3)}{25}\)
h = 15 * 3
h =45
Therefore, the height of the pyramid is approximately 45 meters.
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The complete question is: this square-based oblique pyramid has a volume of 125\text{ m}^3125 m 3 125, start text, space, m, end text, cubed. a slanted pyramid with a square base. the square base has sides of five meters. a slanted pyramid with a square base. the square base has sides of five meters. what is the height of the pyramid?
if f is differentiable at a must f be continuous at aa. No. If f is differetiable at a, then f is not continuous at a. The contrapositive of this statement therefore states, if f is continuous at a, then f is not differentiable at a.b. Yes. If f is differentiable at a, then f is continuous at a. the contrapositive of this statement therefore states, if f is continuous at a, then f is differentiable at a.c. No. If f is continuous at a, it is not necessarily true that the limit that defines f' exists at a.d. Yes. if f continuous at a, it is necessarily true that the limit that defines f' exists at a.
The statement "If f is differentiable at a, then f is continuous at a" is true, but "If f is continuous at a, then f is differentiable at a" is false.
Differentiability and continuity are two important concepts in calculus. A function is said to be continuous at a point if the values of the function approach a finite limit as the independent variable approaches the same value. In other words, there are no sudden jumps or breaks in the function at that point.
On the other hand, a function is said to be differentiable at a point if the limit of the rate of change of the function exists as the independent variable approaches the same value. This rate of change is called the derivative of the function and it is used to determine the slope of the function at that point.
So, it is true that if a function is differentiable at a point, then it is also continuous at that point. In other words, a continuous function must be differentiable. However, the reverse is not necessarily true. A function can reach a point where it is continuous but not differentiable. For example, the absolute value function is continuous everywhere but it is not differentiable at x = 0.
Therefore, we can say that if f is differentiable at a, then f is continuous at a. But if f is continuous at a, it does not imply that f is differentiable at a.
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Can someone pls help me?
Answer:
BCD?
Step-by-step explanation:
Determine what comes next in the given pattern.
15, 10, 14, 10, 13, 10,
Answer:
→ 12..........
I hope this will help you....
Answer: 12, 10,
Step-by-step explanation:
Is this right idek anymore
yep
it just simplifies to 1/7 since 4 and 4 cancel out each other
what is the answer ? i have to match it
Answer:
see below
Step-by-step explanation:
As with many multiple-choice questions, the appropriate choices can often be determined with a simple test. Here, you only need to look at the values of the constants. (Those are ringed in blue.)
Graph the line that represents the equation please
Answer:
graph it on -1/2
Step-by-step explanation:for the y-axis you would put it on -1 and for the x axis put it on 2 :) if its wrong please lmk! or if you need help let me know