comment on why the point with the highest leverage in this data set had the smallest residual variance.
Answers
The points with high leverage have the potential to exert a strong influence on the estimated regression coefficients and can lead to large changes. However, the relationship between leverage and residual variance is not straightforward, and it is possible for a point with high leverage to have a small residual variance or vice versa.
In statistics, The point with the highest leverage in a dataset is the observation that has the largest deviation from the mean of the predictor variable. Residual variance is a measure of the difference between the actual values of the response variable and the values predicted by the regression model.
In the case where the point with the highest leverage has the smallest residual variance, it suggests that this observation is well-explained by the regression model and that it does not have a large effect on the overall fit of the model.
This may occur if the point is located near the center of the distribution of the response variable or if it has predictor variable values that are consistent with the overall trend of the data.
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Related Questions
Find the least 5 digit number which is exactly divisible by 20 , 25 , 30
Answers
Answer:
The least five digit number is
10200Hope this helps you
A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
Answers
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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18. Population density is the number of peopleper unit of area. The population densityof a certain region is 60 people per squarekilometer. If the region covers 23 squarekilometers, what is the population ofthe region?
Answers
Solve the given equation by completing the square.
Fill in the values of a, b, and e to complete the solutions.
Answers
The solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.
How to solve quadratic equation?
To solve the equation x²+8x-38=0, we can use the quadratic formula:
x = (-b ± sqrt(b²-4ac)) / 2a
Here, a=1, b=8, and c=-38. Substituting these values into the formula gives:
x = (-8 ± sqrt(8²-4(1)(-38))) / 2(1)
x = (-8 ± sqrt(324)) / 2
x = (-8 ± 18) / 2
So x is either -13 or 5.
To find the values of x in the form of X = a + b√c and X = a - b√c, we can use the following steps:
For X=a+b√c:
Let's assume that x = a + b√c, where a, b, and c are constants to be determined.
Substituting this into the original equation x²+8x-38=0, we get:
(a + b√c)² + 8(a + b√c) - 38 = 0
Expanding the square and simplifying, we get:
(a² + 2ab√c + b²c) + 8a + 8b√c - 38 = 0
Separating the real and imaginary parts, we get:
(a² + b²c + 8a - 38) + (2ab√c + 8b)√c = 0
Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.
First, setting the real part equal to zero gives:
a² + b²c + 8a - 38 = 0
This is a quadratic equation in a, so we can use the quadratic formula:
a = (-8 ± sqrt(8²-4(bc-38))) / 2
Simplifying this gives:
a = -4 ± sqrt(4+b(b-10))
Now, setting the imaginary part equal to zero gives:
2ab + 8b = 0
Solving for b, we get:
b = 0 or b = -4
If b = 0, then a² + b²c + 8a - 38 = a² + 8a - 38 = 0, which has roots a = -5 and a = 3. Therefore, the solution in this case is x = -5 or x = 3, which cannot be expressed in the form of X = a + b√c.
If b = -4, then a² + b²c + 8a - 38 = a² + 16c + 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:
a = -4 ± sqrt(102-4c)/2
Therefore, the solution in this case is x = (-4 + sqrt(102-4c))/2 - 4√c, which can be expressed in the form of X = a + b√c.
For X=a-b√c:
Using the same logic, we can assume that x = a - b√c, where a, b, and c are constants to be determined.
Substituting this into the original equation x²+8x-38=0, we get:
(a - b√c)² + 8(a - b√c) - 38 = 0
Expanding the square and simplifying, we get:
(a² + b²c - 8a - 38) + (-2ab√c - 8b)√c = 0
Since the real and imaginary parts of the equation must both be zero, we can set them each equal to zero and solve for a, b, and c.
Setting the real part equal to zero gives:
a² + b²c - 8a - 38 = 0
This is a quadratic equation in a, so we can use the quadratic formula:
a = (8 ± sqrt(8²+4(bc+38))) / 2
Simplifying this gives:
a = 4 ± sqrt(4+b(b+10))
Setting the imaginary part equal to zero gives:
-2ab - 8b = 0
Solving for b, we get:
b = 0 or b = -4
If b = 0, then a² + b²c - 8a - 38 = a² - 8a - 38 = 0, which has roots a = -3 and a = 11. Therefore, the solution in this case is x = -3 or x = 11, which cannot be expressed in the form of X = a - b√c.
If b = -4, then a² + b²c - 8a - 38 = a² + 16c - 8a - 38 = 0. Plugging this into the quadratic formula for a, we get:
a = 4 ± sqrt(102+4c)/2
Therefore, the solution in this case is x = (4 + sqrt(102+4c))/2 - 4√c, which can be expressed in the form of X = a - b√c.
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NEED ANSWER ASAP,BRAINLIEST FOR CORRECT ANSWER. IM FAILING SCHOOL
Answers
Answer:
Step-by-step explanation:
D and F are alternate exterior angles
A , D , F , G are exterior angles. In this that are on the opposite sides are alternate exterior angles.
Alternate exterior angles:
1) D and F
2) A and G
What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
Answers
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
Answers
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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triangle ABC has veritices A(-2,3), B(0,3), and C (-1,-1). Find the coordinates of the image after a reflection over the x-axis.
Answers
Answer:
A' = (-2, -3)
B' = (0, -3)
C' = (-1, 1)
I did this on edg
Step-by-step explanation:
Since it's a reflection over the x axis, the x coordinates will stay the same while the y coordinates will be opposite of what they are.
After reflected: A'(-2,-3), B'(0,-3), C'(-1,1)
A rectangular room is
4
times as long as it is wide, and its perimeter is
70
meters. Find the dimension of the room.
Answers
Answer:
L= 28ft
W= 7ft
Step-by-step explanation:
2(4W) + 2W = 70
8W + 2W = 70
10W = 70
W = 7
W1 = 7
W2 = 7
7*4= 28
28*2 = 56
L1= 28
L2 = 28
W1 + W2 + L1 + L2 = 70ft
the result of an experiment was 117.755 particles per milliliter. write the decimal as a mixed number.
Answers
The result of experiment in mixed fraction form is \(117\frac{151}{200}\) particles per milliliter.
What is the result of the experiment in mixed fraction form?To convert decimal to fraction, we the decimal number over 1 and multiply both the numerator and denominator by power of 10.
Given the data in the question;
Result of experiment in decimal form = 117.755 Result of experiment in mixed fraction form = ?In 117.755, we have 3 numbers to the right of the decimal point.
We have 10³ which is the same as 1000.
\(\frac{117.755}{1} * \frac{1000}{1000}\\\\\frac{117755}{1000}\)
Next, we divide both the numerator and the denominator with their Greatest Common Factor.
Greatest Common Factor of 117755 and 1000 is 5
\(\frac{\frac{117755}{5} }{\frac{1000}{5} } = \frac{23551}{200}\)
Now, we can get 200 out of 23551 exactly 117 times, since what remained is not divisible by 200, we leave it as a remainder [151].
We can now write this in a mixed fraction form as;
\(117\frac{151}{200}\)
Therefore, the result of experiment in mixed fraction form is \(117\frac{151}{200}\) particles per milliliter.
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Answer:
Step-by-step explanation: The result of experiment in mixed fraction form is particles per milliliter.What is the result of the experiment in mixed fraction form?To convert decimal to fraction, we the decimal number over 1 and multiply both the numerator and denominator by power of 10.Given the data in the question;Result of experiment in decimal form = 117.755 Result of experiment in mixed fraction form = ?In 117.755, we have 3 numbers to the right of the decimal point.We have 10³ which is the same as 1000.
A new blood pressure medication has been manufactured and a study is being conducted to determine whether its effectiveness depends on dose. When 50 milligrams of the medication was administered to a simple random sample (SRS) of 40 patients, 12 of them demonstrated lower blood pressure. When 100 milligrams of the medication was administered to another SRS of 35 patients, 14 of them demonstrated lower blood pressure. Which of the following test statistics is an appropriate hypothesis test?
Answers
a z-test for the proportional difference is the proper hypothesis test.
What is the deviation in proportions?A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.
which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).
Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.
\(z = (p1 - p2) / SE\)
where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.
the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:
\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)
here, the sample sizes for two doses is n1 and n2.
We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.
Therefore, a z-test for the proportional difference is the proper hypothesis test.
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question in picture thank you
Answers
Solve for x.
5 = 2x - 3
Answers
Answer:
X=4
Step-by-step explanation:
Answer:
2x - 3 = 5
+3 +3
2x = 5 + 3
2x = 8
÷2 ÷2
× = 4
Find each value of the function f(x).
f(-20)
Answers
Answer:
33 is the answer for this ez math
The three sides of a right-angled triangle are x, x+1 and 5. Find x and the area, if the longest side is 5.
Answers
Answer:
x = 3
area = 6
Step-by-step explanation:
using phytagoras's. theorem
a² + b² = c² (with c is the longest one)
x² + (x+1)² = 5²
x² + x² + 2x + 1 = 25
2x² + 2x - 24 = 0 (divide all by 2)
x² + x -12 = 0 then factorize
(x-3)(x+4) = 0
we get x = 3 and x = -4. Take the positive one.
so now we have x = 3 then x + 1 must be 4.
the area is
A = ½ . 3 . 4 = 6
Help me find the value of 1 please!!!!
Answers
Answer:
98 degrees
Step-by-step explanation:
Construct a line parallel to the 2 given lines that passes through the vertex of angle 1.
We get the part of angle 1 below this line is 180 - 144 = 36 by same side interior angles.
We get the part of angle 1 above this line is 62 degrees by alternate interior angles.
meaning the total measure of angle 1 is 62 + 36 = 98
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
Answers
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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•Taylorann Johnson 3/6/23 3td pero For each parabola, label all parts on the curve. Circle if it is a max or a min. Fill in the points or lines. 1 Name 1. y = x² Opens up or down? Positive Vertex (0.0) Max/Min Axis of Symmetry: x=__ y-intercept (,0) x-intercept(s) or the zeros ( ) [ Parabola Review Domain: (0₁2) Range: (1,8)
Answers
For the given parabola, the parts on the curve should be labeled as follows;
The parabola with the equation y = x² opens up.The vertex of the parabola are (0, 0).The max/min value are equal to (0, 0).The axis of symmetry is x = 0.The y-intercept is equal to (0, 0).The x-intercept or the zeros is (0, 0).The domain is equal to (-∞, ∞).The range is equal to (0, ∞).How to calculate the vertex and axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using the following mathematical expression:
Axis of symmetry, Xmax = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function f(x) = y = x², we have the following:
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(0)/2(1)
Axis of symmetry, Xmax = 0/1 = 0.
Vertex (h, k) = (0, 0).
In conclusion, the domain of this quadratic function f(x) = y = x² are all the x-values that are located on the x-axis of the graph, which include {-∞, ∞} or all real numbers.
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O U N U Size of Cryst.
Answers
Answer:
They can occur for various reasons, and they may need different treatments.
Step-by-step explanation:
A quadratic function has a vertex at (3, -10) and passes through the point (0, 8). Which of the following equations best represents the function? O y = 2(x+3)² +8 O y = 2(x+3)² – 10 Oy=(x-3)²-10 O y = 2(x-3)² – 10
Answers
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=3\\ k=-10\\ \end{cases}\implies y=a(~~x-3~~)^2 + (-10)\hspace{4em}\textit{we also know that} \begin{cases} x=0\\ y=8 \end{cases} \\\\\\ 8=a(~~0-3~~)^2 + (-10)\implies 8=9a-10\implies 18=9a\implies \cfrac{18}{9}=a \\\\\\ 2=a\hspace{7em}y=2(~~x-3~~)^2 + (-10)\implies \boxed{y=2(x-3)^2-10}\)
Which equation represents the slope-intercept form of the line below?
intercept = (0,-5)
slope = -3
A. y = -5x+3
B. y=-5x - 3
C. y=-3x+ 5
D. y = -3x-5
Answers
Answer:
Step-by-step explanation:
c
a bank teller. helps two customers omar makes a $15 withdrawal so he balance changes by -$15. jakes makes a $10 deposit so his balance changesby $10
Answers
Answer:
D. Omar's transaction involves more money, because |-15| is greater than |10|.
Step-by-step explanation:
The absolute value of a number is simply the magnitude or numerical value of a number while ignoring any sign attached to it. For example, given that x is a real number, absolute value of x, |x| = x. The absolute value of x does not take account of any sign attached to it.
Thus:
The absolute value of Omar's transaction is given as |-15| = 15.
While that of Jake is |10| = 10.
15 is greater than 10.
Therefore, we can conclude that:
"Omar's transaction involves more money, because |-15| is greater than |10|."
Answer:
The answer is D
Step-by-step explanation:
Use Heron's Formula, that is, the area of a triangle is A= s(s-a)(s-b)(s-c), where the(a+b+c) to find the area of the triangle with sidetriangle contains sides a, b and c andlengths: a = 6.2, b = 7.5, C = 4.9.18.4 square units23.3 square units15.1 square units28.5 square units
Answers
Heron's formula is given as
\(A\text{ =}\sqrt[]{s(s-a)(s-b)(s-c)}\)and
\(s\text{ =}\frac{1}{2}(a+b+c)\)we are given that
\(a=6.2,\text{ b = 7.5 and c = 4.9}\)First, we find the value of s using the formula
\(\begin{gathered} s\text{ = }\frac{1}{2}(6.2\text{ + 7.5 + 4.9)} \\ s\text{ = }\frac{18.6}{2} \\ s\text{ = 9.3} \end{gathered}\)next, we substitute values of a, b, c, and s to get the area
\(\begin{gathered} A\text{ = }\sqrt[]{s(s-a)(s-b)(s-c)} \\ A\text{ = }\sqrt[]{9.3(9.3-\text{ 6.2)(9.3 - 7.5)(9.3 - 4.9) }} \\ A\text{ = }\sqrt[]{9.3\text{ }\times3.1\times\text{ 1.8 }\times\text{ 4.4}} \\ A\text{ = }\sqrt[]{228.33} \\ A\text{ = 15.1 square units} \end{gathered}\)Therefore,
Area of triangle = 15.1 square units
PLEASE HELP
Suppose that the functions fand g are defined for all real numbers x as follows.
f(x) = 5x
g(x)=4x-4
Write the expressions for (g.f)(x) and (g-f)(x) and evaluate (g+f)(2).
(g•f)(x) =
(g-f)(x) =
(g+r) (2)=
Answers
= 20x^2 - 16
(g - f)(x) = (4x - 4) - (5x)
= (-1x) - 4
= -x -4
(g + f)(2) = (4(2) - 4) + (5(2))
= 4 + 10
= 14
HELP
In this unit, you will investigate some real-world scenarios which can be modeled through logarithmic functions. In particular, we'll investigate three phenomena using logarithmic models: magnitude of earthquakes, intensity of sound, and pH (or acidity) of substances. Research online and find an additional scenario not mentioned above that uses logarithmic functions, and explain why it is beneficial to your everyday life. Be sure to cite any sources you used in your response.
Answers
One example of real-world situation that uses logarithms is for amount of substance that are decaying over time.
Logarithms and amount of substancesAn amount of a decaying substance after t years is modeled by the following exponential equation:
\(P(t) = P(0)e^{-kt}\)
In which:
P(0) is the initial amount.k is the exponential decay rate, as a decimal.The simplest example of the use of logarithms is to find the half-life of the substance, that is, the year t for which P(t) = 0.5P(0).
Then:
\(0.5P(0) = P(0)e^{-kt}\)
\(e^{-kt} = 0.5\)
The natural logarithm is used to find the half life, as it is the inverse of the exponential.
\(\ln{e^{-kt}} = \ln{0.5}\)
\(-kt = \ln{0.5}\)
\(t = -\frac{\ln{0.5}}{k}\)
Hence we showed another application of logarithms in a real-word model.
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You're a marketing analyst for Wal-
Mart. Wal-Mart had teddy bears on
sale last week. The weekly sales
($ 00) of bears sold in 10 stores
was:
8 11 0 4 7 8 10 583
At the .05 level of significance, is
there evidence that the average
bear sales per store is more than 5
($ 00)?
Answers
Based on the data and the one-sample t-test, at the 0.05 level of significance, there is sufficient evidence to conclude that the average bear sales per store at Wal-Mart is significantly higher than $500
.
To determine if there is evidence that the average bear sales per store at Wal-Mart is more than $500 at the 0.05 level of significance, we can conduct a one-sample t-test. Let's go through the steps:
State the null and alternative hypotheses:
Null hypothesis (H₀): The average bear sales per store is equal to or less than $500.
Alternative hypothesis (H₁): The average bear sales per store is greater than $500.
Set the significance level (α):
In this case, the significance level is given as 0.05 or 5%.
Collect and analyze the data:
The weekly sales of bears in 10 stores are as follows:
8, 11, 0, 4, 7, 8, 10, 583
Calculate the test statistic:
To calculate the test statistic, we need to compute the sample mean, sample standard deviation, and the standard error of the mean.
Sample mean (\(\bar X\)):
\(\bar X\) = (8 + 11 + 0 + 4 + 7 + 8 + 10 + 583) / 8
\(\bar X\) ≈ 76.375
Sample standard deviation (s):
s = √[Σ(x - \(\bar X\))² / (n - 1)]
s ≈ 190.687
Standard error of the mean (SE):
SE = s / √n
SE ≈ 60.174
Now, we can calculate the t-value:
t = (\(\bar X\) - μ₀) / SE
Where μ₀ is the hypothesized population mean ($500).
t = (76.375 - 500) / 60.174
t ≈ -7.758
Determine the critical value:
Since we are conducting a one-tailed test and the alternative hypothesis is that the average bear sales per store is greater than $500, we need to find the critical value for a one-tailed t-test with 8 degrees of freedom at a 0.05 level of significance. Looking up the critical value in the t-distribution table, we find it to be approximately 1.860.
Compare the test statistic with the critical value:
Since -7.758 is less than -1.860, we have enough evidence to reject the null hypothesis.
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At the end of a snow storm, Julian saw there was a lot of snow on his front lawn. The
temperature increased and the snow began to melt at a steady rate. Let S represent
the depth of snow on Julian's lawn, in inches, t hours after the snow stopped falling.
A graph of S is shown below. Write an equation for S then state the z-intercept of
the graph and determine its interpretation in the context of the problem.
Answers
answer:
the y-intercept is 15 which is the initial total depth of the snow at t=0 hours.
The rate of melting is 1.5inches per hour. It will take 10 hours at the melting rate given of 1.5 to melt all the snow.
Step-by-step explanation:
the y-intercept is 15, and it might mean that the total depth of the snow is 15 inches.
The rate of melting is 1.5inches per hour.
At time = 0, S=15 - 1.5t = 15 - 1.5(0) = 15 inches to start
At time = 10, S=15 - 1.5t = 15 - 1.5(10) = 0 inches; meaning all snow has melted and it took 10 hours.
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answers
Answer:
y=2x+6
Step-by-step explanation:
What is 9(-7)?
I don't even know this
Answers
-63. Hope this helps!
Can have brainliest?
Answer:
-63
Step-by-step explanation:
If you know how to multiply it without the negative then you could take that answer and then put a negative at the beginning.
Wich ordered pair is a solution to the followimg inequality?
\(y\leq \frac{2}{5}x-2\)
(5,0)
(0,5)
(-2,5)
(-5,2)
Answers
Answer:
Option A: (5,0)
Step-by-step explanation:
Given
\(y \leq \frac{2}{5}x-2\)
Required
Select an ordered pair
Option A: (5,0)
This means
\(x = 5\) \(y = 0\)
Substitute these values in \(y \leq \frac{2}{5}x-2\)
\(0 \leq \frac{2}{5} * 5 - 2\)
\(0 \leq 2 - 2\)
\(0 \leq 0\)
This is a true statement.
Option B: (0,5)
This means
\(x = 0\) \(y = 5\)
Substitute these values in \(y \leq \frac{2}{5}x-2\)
\(5 \leq \frac{2}{5}* 0 -2\)
\(5 \leq 0 -2\)
\(5 \leq -2\)
This is a false statement.
Option C: (-2,5)
This means
\(x=-2\) \(y = 5\)
Substitute these values in \(y \leq \frac{2}{5}x-2\)
\(5 \leq \frac{2}{5}* -2 -2\)
\(5 \leq \frac{-4}{5} -2\)
\(5 \leq \frac{-4-10}{5}\)
\(5 \leq \frac{-14}{5}\)
\(5 \leq -2.8\)
This is a false statement.
Option D: (-5,2)
This means
\(x=-5\) \(y = 2\)
Substitute these values in \(y \leq \frac{2}{5}x-2\)
\(2 \leq \frac{2}{5}* -5 -2\)
\(2 \leq -2 -2\)
\(2 \leq -4\)
This is a false statement.
Only option A represents a true statement,
Hence, option A is a solution to the inequality