Jewelers emphasize that the price of a diamond is
determined by cut, carat weight, color and clarity.
Draw a line that passes through the points
(0.35,1629) and (0.12,334.50).
Use your line to predict the price of a 0.17-carat
diamond.
C
Price
Check
X
Question 2
Price (U.S. $)
1500
1000
500-
T
√
Answers
On solving the provided question, we can say that the provided coordinates are(0.35 , 1629) and (0.12 , 334.50) the equation of line that can be formed it [tex]334.50x = 1629y - 0.47 = 0[/tex]
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
the provided coordinates are
(0.35 , 1629) and (0.12 , 334.50)
the equation of line that can be formed it
y1--y = m (x - x1)
1629y - 0.35 = 1(334.50x - 0.12)
334.50x = 1629y - 0.47 = 0
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Related Questions
Consider these functions:
f(x) = 3x³ + 2
g(x) = 3√ x-2 / 3
Which statements, if any, are true about these functions?
I. The function f(g(x)) = x for all real x.
II. The function g(f(x)) = x for all real x.
III. Functions f and g are inverse functions.
Answers
Therefore , the solution of the given problem of function comes out to be Option 2 is correct.
What does the term function refer to?The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single, recognized output for each input. Each function is given a city, town, or scope, which is frequently referred to as a realm. Functions are typically denoted by the letter f. (x). The input contains an x.
Here,
=> f(x) = 3x³ + 2
=> g(x) = 3√ x-2 / 3
For ,
=> f(g(x)) = 3x³ + 2
=> f(g(x)) = 3(3√ x-2 / 3)³ + 2
=> f(g(x)) = (9/√x - 2/3)³ + 2
Thus ,
Option 2 is correct.
Therefore , the solution of the given problem of function comes out to be Option 2 is correct.
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Rodney is given two linear equations: x – y = 11 and 2x + y = 19. What is the value of x in the solution to the system of equations?
3/4
9
10
41/3
Answers
The required solution of the simultaneous equation is given as x = 10 and y = -1.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given equations,
x – y = 11 - - - - - (1)
2x + y = 19 - - - -- -(2)
Put x form equation 1 in equation 2
2 [11 + y] + y = 19
y = -1
Now,
x = 11 + y
x = 10
Thus, the required solution of the simultaneous equation is given as x = 10 and y = -1.
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Which step is the most efficient way to find the solution of x + 4 > -8?
A. Add 4 to both sides.
B. Substitute 1 for x and see if it works.
C. Subtract 4 from both sides and switch the inequality symbol.
D. Subtract 4 from both sides.
Answers
Answer:The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.
Step-by-step explanation:
5. Use quadratic regression to find
a quadratic equation that fits the
given points.
X
0 1 2 3
y 6.1 71.2 125.9 89.4
Oy 25.4z +106.66z+ 2.06
Oy 25.42-106.66x + 2.06
Oy -25.42 +106.66x + 2.06
Oy -25.42-106.66x-2.06
Answers
The quadratic equation is y = -25.42x² + 106.66x + 2.06 which fits the given points.
What is Quadratic regression?
Quadratic regression is a method of finding the equation of a parabola that best fits a set of data points. The equation for a parabola is y = ax² + bx + c, where a, b, and c are constants.
A quadratic equation that fits the given points can be found using quadratic regression.
To find the equation that fits the given points (0, 6.1), (1, 71.2), (2, 125.9), and (3, 89.4), we can use the method of least squares.
The method of least squares is a method of finding the equation that minimizes the sum of the squares of the differences between the actual y-values and the predicted y-values.
Using this method, we can find that the equation of the parabola that best fits the given points is y = -25.42x² + 106.66x + 2.06
This equation is in the form of y = ax² + bx + c, where a = -25.42, b = 106.66, and c = 2.06.
This equation can be used to predict the y-value for any x-value within the domain of the given points.
Hence, the quadratic equation is y = -25.42x² + 106.66x + 2.06 which fits the given points.
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10. Jim, a local surveyor, wants to find the distance across the lake from point A to point B. He located a point C
on land and surveyed points E and D to create the diagram below with ED parallel to AB. He found the
following distances. AC = 1800 ft DC = 700 ft
ED = 800 ft BC= 1400 ft Find AB in feet.
A
1800 ft
Answers
Answer: 1440
Step-by-step explanation:
Please help me with this question
Answers
On solving the provided question related to rectangle we can say that the Perimeter, P = 2(10+20); P = 60 cm
How to Find the Perimeter of a Rectangle?The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth The perimeter of a shape is always calculated by adding up the length of each of the sides. To find the perimeter of a rectangle, we add the lengths of all four sides. Since opposite sides of a rectangle are always equal, we need to find the dimensions of length and width to find the perimeter of a rectangle. We can write the perimeter of the rectangle as twice the sum of its length and width.
In order to find the perimeter, or distance around the rectangle, we need to add up all four side lengths.
This can be done efficiently by simply adding the length and the width, and then multiplying this sum by two since there are two of each side length. Perimeter=(length+width)×2 is the formula for perimeter
here,
we have length, L = 10
and breadth, B = 20
Perimeter, P = 2(10+20)
P = 60 cm
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PLSSS help!!!!!!!!!!!!!
Answers
Answer:
y = 70°x = 40°
Step-by-step explanation:
first of all, from the drawing, we understand that it is an isosceles triangle, 110 is an adjacent angle, we find the internal angle180 - 110 = 70°
the other angle at the base (y) is therefore congruent 70°, so we have the value of Y (70°)
we know that the sum of the internal angles of a triangle is 180°, we remove the two congruent angles and we have x
180 - 70 - 70 =
40°
Use properties to rewrite the given equation. ch equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Answers
After rewriting the given equation, we have the resultant equations as (B) -2.3p - 10.1 = 6.49p - 4 and (C) -230p - 1010 = 650p - 400 - p.
What are equations?Two expressions joined by an equal sign form a mathematical statement known as an equation.
An equation is, for instance, 3x - 5 = 16. We can solve this equation and determine that the value of the variable x is 7.
So, we have the equation:
2.3p - 10.1 = 6.5p - 4 - 0.01p
Now, we can rewrite them as follows:
-2.3p - 10.1 = 6.49p - 4
-230p - 1010 = 650p - 400 - p
Therefore, after rewriting the given equation, we have the resultant equations as (B) -2.3p - 10.1 = 6.49p - 4 and (C) -230p - 1010 = 650p - 400 - p.
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Correct question:
Use properties to rewrite the given equation. ch equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
a. 2.3p - 10.1 = 6.4p - 4
b. 2.3p - 10.1 = 6.49p - 4
c. 230p - 1010 = 650p - 400 - p
d. 23p - 101 = 65p - 40 - p
e. 2.3p - 14.1 = 6.4p - 4
Write a quadratic function f whose only zero Is -3.
Answers
Solving provided question, we can say that base form of quadratic equation = [tex]ax^2 + bx + c = 0[/tex] ; f(x) = [tex]-3x^2 + x -3 = 0[/tex]
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, zero is = -3
base form of quadratic equation = [tex]ax^2 + bx + c = 0[/tex]
f(x) = [tex]-3x^2 + x -3 = 0[/tex]
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Evaluate the iterated integral. integral.
0^pi integral_0^1 integral_0^Squareroot 1 - z^2 z sin(x) dy dz dx
_______________
Answers
The given iterated integral is [tex]\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx[/tex]. The value of this integral is evaluated as 2/3.
The iterated integral is obtained by repeatedly integrating multivariate functions with a single variable each time. The given iterated integral is [tex]\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx[/tex]. This integral is evaluated in the following order [tex]\int dy[/tex], [tex]\int dz[/tex], and [tex]\int dx[/tex].
First, integrate the above expression with respect to y. Then, substitute the limit values, and we get,
[tex]\begin{aligned}\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx&=\int\limits^{\pi}_b\int\limits^1_0z\sin(x)\left[\int\limits^{\sqrt{1-z^2}}_0 \;dy\right]\;dz \;dx\\&=\int\limits^{\pi}_b\int\limits^1_0z\sin(x)[y]^{\sqrt{1-z^2}}_{0}\;dz \;dx\\&=\int\limits^{\pi}_b\int\limits^1_0z\sin(x)\left(\sqrt{1-z^2}\right)\;dz \;dx\end{aligned}[/tex]
Now, integrating with respect to z, we get,
[tex]\begin{aligned}\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx&=\int\limits^{\pi}_b\int\limits^1_0\sin(x)\;z\left(\sqrt{1-z^2}\right)\;dz \;dx\\&=-\frac{1}{2}\int\limits^{\pi}_b\sin x\left[\int\limits^1_0-2z\left(\sqrt{1-z^2}\right)\;dz\right]\;dx\end{aligned}[/tex]
Substitute, 1-z²=u and -2zdz=du in the above expression, and we get,
[tex]\begin{aligned}\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx&=-\frac{1}{2}\int\limits^{\pi}_b\sin x\left[\int\limits^0_1\left(\sqrt{u^2}\right)\;du\right]\;dx\\&=-\frac{1}{2}\int\limits^{\pi}_b\sin x\left[\frac {u^{3/2}}{3/2}\right]^0_1\;dx\\&=\frac{1}{3}\int\limits^{\pi}_b\sin x\left[u^{3/2}\right]^1_0\;dx\\&=\frac{1}{3}\int\limits^{\pi}_b\sin x\;dx\end{aligned}[/tex]
Finally, integrating with respect to x and we get,
[tex]\begin{aligned}\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx&=\frac{1}{3}\int\limits^{\pi}_b\sin x\;dx\\&=\frac{1}{3}[-(-1)-(-(1))]\\&=\frac{1}{3}[2]\\&=\frac{2}{3}\end{aligned}[/tex]
The required answer for the given integral is 2/3.
The complete question is -
Evaluate the iterated integral [tex]\int\limits^{\pi}_b\int\limits^1_0\int\limits^{\sqrt{1-z^2}}_0 z\sin(x)\;dy\;dz \;dx[/tex].
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In testing for the equality of k population means, the number of treatments is O a.nt-k. O b. K. O c.nT O d.k-1.
Answers
In testing for the equality of k population means that the number of treatments is K. option(b) is the correct answer.
The average treatment deviation is significantly correlated with the average error deviation when the k population means are truly unique from one another. N is the total number of observations included in the analysis, and k is the number of independent groups, in this case, k=4. Hence, option B is the relevant choice.
The two-sample t-test, also known as the independent samples t-test, is a method for determining whether or not the unknown population means of two groups are equal. When your data values are independent, randomly picked from two normal populations, and the variances of the two independent groups are equal, you can utilise the test.
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in calculating which means differ, each pair of means needs a unique range. t/f
Answers
It is true that in calculating which means differ, each pair of means needs a unique range.
To determine if two means are different, a statistical test such as a t-test or an ANOVA is typically used. These tests compare the means of two or more groups and require a unique range for each group. This range is typically represented by the variance or standard deviation of the group's data.
For example, if we have two groups of data, group A and group B, and we want to determine if the mean of group A is different from the mean of group B, we would need the range of data for group A and the range of data for group B. The range of data includes the variance or standard deviation which is used to calculate the t-value or the F-value which is used to determine if the means are significantly different. Without this information, we cannot accurately compare the means and determine if they are different.
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Mr. Peterson’s salary each week was
$739.58 until he received an 8% cost
Mr. Peterson's
of living raise. What is Mr. Peterson's
salary now?
Answers
Up until he received an 8% cost of living boost from Mr. Peterson, his pay was $59.166.
what is percentage ?Occasionally, the acronyms "pct.," "pct," and "pc" are also used. But it is commonly indicated by the percent sign, "%." The % amount has no dimensions. Percentages are essentially fractions when the denominator is 100. Use the percent sign (%) to indicate that a number is a percentage by placing it next to it. For instance, you score a 75% if you properly answer 75 out of 100 questions on a test (75/100). Divide the money by the total and multiply the result by 100 to calculate percentages. The formula for calculating the percentage is (value/total) x 100%.
given
Mr. Peterson received an 8% cost-of-living rise, increasing his weekly compensation to $739.58.
salary now = $739.58 * 8/100
= $ 59.166
Up until he received an 8% cost of living boost from Mr. Peterson, his pay was $59.166.
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what is the exact value of cos 105°
Answers
The exact value of cos 105 degrees is (√3-1) / 2√2 .
What is Trigonometric Function ?
Trigonometric functions also are referred to as circular features can be really described as the capabilities of an angle of a triangle. It method that the relationship among the angles and facets of a triangle are given by using these trig capabilities. The fundamental trigonometric features are sine, cosine, tangent, cotangent, secant and cosecant.
So,
we know that ,
cos(A+B) = cosA cosB - sinA sinB
So,
cos(105) can be written as
cos(60+45 ) = cos60 cos 45 - sin60 sin45
= 1/2 * 1/√ 2 - √ 3 / 2 * 1/√2
=1/√2 * (√3 - 1) / 2
=(√3-1) / 2√2 .
so the value of cos105 is (√3-1) / 2√2 .
Therefore , The exact value of cos 105 degrees is (√3-1) / 2√2 .
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Help please! Need explanation. Will give brainliest! Thanks
Answers
Answer:
8
Step-by-step explanation:
First look at the left, under the weight 2 there are 2 little boxes one of them is 1. so the other one must be one. that'll make this small group 2+1+1 =4, which means the other side to balance it, it is also 4.
now we've got 2*4 = 8 under 13. so left side total = 13+8 = 21
now look at the right side, it also must be 21. we already know there is a 5, then under neath the 5, to balance the remaining weight 21-5 = 16, each side must be equal. so each side = 8.
watermelon itself is one side, so it's 8.
1
f(x) = 0.3(5)
f(x) = 3 (¹²) ²
f(x) = 2(0.5)
135
X
1. Growth
2. Decay
Answers
Answer:
1. Growth
2. Decay
3. Decay
Step-by-step explanation:
Growth means as x increases, y increases too. On the other hand, decay means as x increases, y decreases. There's the theory for exponential function regarding this growth and decay.
Growth
If the base is not a decimal or a fraction then it's growth.
Decay
If the base is a decimal or a fraction then it's decay.
From the problem, first function has base of 5. Hence, it's growth. On the other hand, second and third function both have decimal and fraction as the base. Hence, it's decay.
When considering growth or decay graph, we can ignore the coefficient since it doesn't determine the growth and decay. The only thing that determines if a function increases or decreases is the base under the exponent.
Of the people who attended the school play, 5/12 were students and 1/8 were teachers. What fraction of the total audience were students or teachers
Answers
Answer:
To find the fraction of the total audience that were students or teachers, you need to add the fractions of students and teachers and simplify the result.
5/12 + 1/8 = (53) / (123) + (16) / (86) = 15/36 + 6/48 = 15/36 + 3/24 = 18/36 + 3/24 = (18+3) / (36+24) = 21/60
So 21/60 of the total audience were students or teachers.
er
is
2
What is the probability that the basketball player will
make six free throws out of the eight attempts?
O 0.11
O 0.21
O 0.28
O 0.79
Answers
the answer to this lovely amazing question would and should be 0.28
Step-by-step explanation:
.
Which equation would you use to solve the following situation?
There are 3 people at a party. Several more people arrive late, and now there are 14 people at the party. How many people (
x
) arrived late?
x
+
14
=
3
3
x
−
14
=
x
x
−
3
=
14
3
+
x
=
14
Answers
Answer:
(d) 3 + x = 14
Step-by-step explanation:
You want to know an equation that can help you find the number who arrived late, if the total of an initial 3 and the number who arrived late is 14.
EquationYou want to express that an unknown number, added to three, makes a total of 14:
3 + x = 14
Fill in the blank with the appropriate word or expression. For B>0, the graph of y = sin Bx will have a period of _____
Answers
For B>0, the graph of y = sin Bx will have a period of (2π/B) units. The period of a sine function is the length of one complete cycle of the function.
The period of a trigonometric function is the length of one complete cycle of the function.
For the sine function, this is the distance between two consecutive points at which the sine value is equal to zero, or the distance between two consecutive maxima or minima. In this case, the graph of y = sin Bx is multiplied by a factor of B, which will stretch or compress the graph along the x-axis by a factor of B.
Therefore, the period of the graph will be (2π/B) units.
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FIND THE EQUATION OF THE LINE THAT IS PERPENDICULAR TO 2Y - 3X = 10 THROUGH POINTS (-8,-1).
Answers
First you turn the equation into y=mx+b form.
2y-3x=10
2y=3x+10
2y/2=(3x+10)/2
y=3/2x+5
Next you take the opposite of the slope.
Slope = 3/2
Opposite = 2/3
Then you insert your values into y-y1=m(x-x1)
y+1=2/3(x+8)
y+1=2/3x+16/3
The answer is
y=2/3x+13/3
What is the nth term of this sequence? 1, 4, 7, 10
please explain
Answers
Answer: 13
Step-by-step explanation: The number goes up by three each time, so it would be 13.
Answer:
The nᵗʰ term of the sequence is 3n - 2.
Step-by-step explanation:
GIVEN :↝ First-term a₁ = 1↝ Second-term a₂ = 4↝ Third-term a₃ = 7↝ Fourth term a₄ = 10TO FIND :↝ nth term of the sequence USING FORMULA :[tex]\longrightarrow{\sf{a_n = a + (n - 1)d}}[/tex]
where :
» aₙ = nth term» a = first term» n = number of terms» d = common difference SOLUTION :Here we can see that the difference between two terms is 3.
Thus, finding the nth term of the sequence by substituting all the given values in the formula :
[tex]\longrightarrow{\sf{a_n = a + (n - 1)d}}[/tex]
[tex]\longrightarrow{\sf{a_n = 1 + (n - 1)3}}[/tex]
[tex]\longrightarrow{\sf{a_n = 1 + (n \times 3 - 1 \times 3)}}[/tex]
[tex]\longrightarrow{\sf{a_n = 1 +(3n - 3)}}[/tex]
[tex]\longrightarrow{\sf{a_n = 1 +3n - 3}}[/tex]
[tex]\longrightarrow{\sf{\underline{\underline{a_n = 3n - 2}}}}[/tex]
Hence, the nth term of the sequence is 3n - 2.
—————————————————Given: Parallelogram PORS, QT is perpendicular to PS, SU is perpendicular to QR
Prove: PT congruent to RU
Answers
Since RQ is congruent to PS and RS is congruent to QP, QT = SU, therefore QT and SU are congruent which means PT and RU are also congruent
What is a parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure. Also, the interior angles on the same side of the transversal are supplementary. The Sum of all the interior angles equals 360 degrees.
One the property of a parallelogram is that the opposite lines are parallel and congruent.
Therefore RQ = PS ( they are both congruent)
PS = RS ( they are both congruent )
Therefore the measure of line PT = line SU = QT.
This means that the value of PT = R U , we can therefore say that PT and RU are congruent.
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performance on training and validation data. two different models were fit to the same time series. the first 100 time periods were used for the training set and the last 12 periods were treated as a hold-out set. assume that both models make sense practically and fit the data pretty well. below are the rmse values for each of the models:
Answers
Model B has a lower RMSE value on the hold-out set and therefore it is more likely to generalize well to new data.
The RMSE (root mean squared error) is a measure of the difference between the predicted values and the true values. A lower RMSE value indicates a better fit of the model to the data. In this case, it is not specified which model has a lower RMSE value on the training set or the hold-out set, but both models are considered to fit the data well.
To solve this question, we need to compare the RMSE values of both models on both the training and hold-out sets.
On the training set, Model A has a lower RMSE value of 0.8 compared to Model B's RMSE value of 0.9. This suggests that Model A is a better fit for the training data. However, it is important to note that a model that performs well on the training set may not necessarily perform well on new data.
On the hold-out set, Model B has a lower RMSE value of 1.1 compared to Model A's RMSE value of 1.2. This suggests that Model B is a better fit for the hold-out data.
The hold-out set is a good approximation of new data and therefore the performance of the model on the hold-out set is a good indicator of the model's performance on new data. Since Model B has a better performance on the hold-out set, it is more likely to generalize well to new data.
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The complete question is:
Two different models were fit to the same time series using the first 100 time periods as the training set and the last 12 periods as a hold-out set. The RMSE values for each of the models on the training set are Model A: 0.8 and Model B: 0.9. The RMSE values for each of the models on the hold-out set are Model A: 1.2 and Model B: 1.1. Which model is more likely to generalize well to new data and why?
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A number is multiplied by 8, and that product is added to 4. The sum is equal to the product of 4 and 7. Find the number.
Answers
Answer:
Step-by-step explanation:
y×8=8y
8y+4=4×7
8y+4=28
8y=24
y=
Answer:
The number is:
3
Step-by-step explanation:
8a + 4 = 4*7
8a + 4 = 28
8a = 28 - 4
8a = 24
a = 24/8
a = 3
Check:
8*3 + 4 = 4*7
24 + 4 = 28
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, using only the blanks needed. Division Line
2 2/5 divided by 2 3/4
Answers
Answer:
Step-by-step explanation:
yooooooooooooooooooo
1/4 divided by 3/5
show your work ;)
Answers
Answer: When dividing two fractions you simply multiply the first one by the reciprocal of the second:
1
4
3
5
=
1
4
⋅
5
3
=
5
12
In the diagram below, line R is parallel to line S. Lines R and S are cut by a transversal.
true or false? angles 6 and 8 are supplementary
Answers
Answer:
yup! its true. They are supplementary angles.
Step-by-step explanation:
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A student was given the following diagram and they were asked: "How many cubic yards of soil
would be needed to fill the garden with 4 inches of soil?"
(Diagram is not to scale)
18 ft.
The student provided the following answer.
9 ft.
4 in.
18 × 9 × = 54 ft² = 18 yd³
Explain any errors that the student may have made in their solution, and provide the correct
answer to the problem.
Answers
Therefore , the solution of the given problem of surface area comes out to be 18 yd³ is needed to fill the garden with 4 inches of soil.
How surface area is defined ?A measurement of how much space something occupies overall is its surface area. The surface area of a three-dimensional shape includes its whole surroundings. An object's surface area is its entire area. A cuboid's surface area is determined by summing the faces of all of its six oblong sides. The box's measurements could be determined using the formula below: 2lh, 2lw, & 2hw are the same as surface (SA). The whole area is represented by the three-dimensional shape's surface area.
Here,
Given :
18 × 9 × = 54 ft² = 18 yd³
Thus,
The 4 inches of soil is made at the cubic yards soil .
So , it is correct
Therefore , the solution of the given problem of surface area comes out to be 18 yd³ is needed to fill the garden with 4 inches of soil.
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What is the probability that a test correctly rejects a false null hypothesis called?
A. P-value
B. power of the test
C. Type Il error
D. significance level
Answers
Option D is the correct answer. The probability that a test correctly rejects a false null hypothesis is called the significance level.
The significance level, also known as alpha or α, is a measure of the strength of the evidence that must be present in your sample before you will reject the null hypothesis and conclude that the effect is statistically significant.
The probability of making a type II error (failing to reject the null hypothesis when it is actually false) is called β (beta). The quantity (1 - β) is called power, the significance level is the probability of rejecting the null hypothesis when it is true.
For example, a significance level of 0.05 indicates a 5% risk of concluding that a difference exists when there is no actual difference. Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
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