Answer:
10.900km/h 11. a. 5:3 b. 3:5
Step-by-step explanation:
10. 2700/3=900
11. A. 5:3
b. 3:5
hirty five discrete math students are to be divided into seven discussion groups, each consisting of five students. in how many ways can this be done?
Answer:76904685 ways
please give brainliest
The Central Limit Theorem is important in Statistics because it allows us to use the normal distribution to make inferences concerning the population mean: O provided that the population from which the sample was drawn is normal and the sample size is reasonably large. O provided that the population size is reasonably large (whether the population distribution is known or not). O provided that the sample size is reasonably large (for any population). o provided that the population from which the sample was drawn is normal.
The correct statement is: provided that the sample size is reasonably large (for any population).
Why the statement provided that the sample size is reasonably large is correct?The Central Limit Theorem states that, under certain conditions, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.
These conditions include a random sample from the population and a sufficiently large sample size (typically, n > 30 is considered large enough).
Therefore, the Central Limit Theorem is important because it allows us to make inferences about the population mean using the normal distribution, even if we do not know the population distribution.
This is useful in many applications of statistics, including hypothesis testing, confidence intervals, and estimating population parameters
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Simplify the expression by combining like terms. -8y + 2 + 10y - 7
Please help
Answer:
2y - 5 (read below)
Step-by-step explanation:
-8y + 10y = 2y
2 + (-7) = -5
Your expression could/would be:
2y - 5.
Hope this helps!
Answer:
you can combine -8y and 10y since 8 is negative it would be =2y
an you can do 2+-7=-5
What was the purpose of the coordinate graphing system described by Descartes in his book Discourse on Method?
O to use algebraic methods to solve geometric problems
O to prove the universe was Sun-centered
O to represent equations for the queen of Sweden
O to prove his own existence
The purpose of the coordinate graphing system described by Descartes in his book "Discourse on Method" is to use algebraic methods to solve geometric problems. That is option A.
What is coordinate graphing system?The coordinate graphing system is used on graphical systems to describe the relationship or location between two points on different axes such as X and y axis.
According to Descartes in his book "Discourse on Method" he developed a connection between Algebra and geometry.
Therefore, the main purpose for the coordinate graphing system is to use algebraic methods to solve geometric problems.
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Answer:
The answer that you are looking for is A.
Have a great day!
Step-by-step explanation:
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This is slopes — what is ( 7, 12 ) , ( 19 , -4 ) ?
Answer:
slope = - \(\frac{4}{3}\)
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (7, 12 ) and (x₂, y₂ ) = (19, - 4 )
m = \(\frac{-4-12}{19-7}\) = \(\frac{-16}{12}\) = - \(\frac{4}{3}\)
The diameter of a sphere is 16.4 mm Calculate the sphere's volume
Use the value 3.14 for pi , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
The volume of the sphere is 2308.4 mm³
Calculating the volume of a SphereFrom the question, we are to determine the volume of the sphere
The volume of a sphere is given by the formula
\(V=\frac{4}{3}\pi r^{3}\)
Where V is the volume
and r is the radius
From the given information,
Diameter, d, of the sphere = 16.4 mm
r = 16.4/2
r = 8.2 mm
∴ \(V=\frac{4}{3}\times 3.14 \times 8.2^{3}\)
V = 2308.394
V ≅ 2308.4 mm³
Hence, the volume of the sphere is 2308.4 mm³
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The volume of a pyramid is given the equation V=⅓Bh. Solve for h. Then, find the height of the pyramid if the volume is 34 cm³ and the base area is 14.8 cm².
Answer:
6.89 cm
Step-by-step explanation:
Here, the equation is :
V = 1/3BhSubstituting the known values :
34 = 1/3 x 14.8 x h102 = 14.8hh = 102/14.8h = 6.89 cm (approximately)height: 6.9 cm
Explanation:\(\sf Volume \ of \ Pyramid = \dfrac{1}{3} \ x \ Base \ Area \ x \ Height\)
Here provided Information:Volume: 34 cm³
base area: 14.8 cm²
Solve for Height:\(\sf \rightarrow \dfrac{1}{3} \ x \ 14.8 \ x \ Height = 34\)
change side
\(\sf \rightarrow Height = \dfrac{34(3)}{14.8}\)
simplify following
\(\sf \rightarrow Height = 6.891892\)
rounded to nearest tenth
\(\sf \rightarrow Height = 6.9\)
if u is a subspace of a finite dimensional vector space can it be an infinite dimensional vector space?
No a subspace of a finite dimensional vector space cannot be an infinite dimensional vector space
This is due to the fact that a subspace is a subset of a larger vector space and must have the same dimension as its parent vector space. In other words we can say that, if the parent vector space is finite dimensions,then the subspace must be as well.
To put it in another way, a vector space is finite dimensional if it can be traversed by a limited number of vectors. A subspace can only be spanned by a subset of the vectors that span the parent vector space since it is a subset of a larger vector space. As a result, if the parent vector space has finite dimensions, the subspace must be as well.
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Write down the reciprocal of 2
evaluate the iterated integral by converting to polar coordinates. e−x2 − y2 dy dx
The value of the iterated integral using polar coordinates is π.
What is Polar Coordinates?
a polar coordinate system is a two-dimensional coordinate system in which each point in a plane is specified by a distance from a reference point and an angle from a reference direction. The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.
To evaluate the iterated integral ∫∫ e^(-x^2 - y^2) dy dx using polar coordinates, we need to convert the Cartesian coordinates (x, y) to polar coordinates (r, θ).
In polar coordinates, x = r cos(θ) and y = r sin(θ), where r represents the distance from the origin and θ represents the angle with the positive x-axis.
To convert the integral limits, we consider the region of integration. Since no limits are provided in your question, let's assume the integral is over the entire xy-plane.
In Cartesian coordinates, the entire xy-plane covers the range -∞ to +∞ for both x and y. In polar coordinates, this corresponds to the entire range of r from 0 to ∞ and the entire range of θ from 0 to 2π.
The Jacobian determinant for the conversion from Cartesian to polar coordinates is r, so we have dy dx = r dr dθ.
Now, let's express the integrand e^(-x^2 - y^2) in terms of polar coordinates:
e^(-x^2 - y^2) = e^(-(r cos(θ))^2 - (r sin(θ))^2)
= e^(-r^2(cos^2(θ) + sin^2(θ)))
= e^(-r^2)
Substituting the variables and the Jacobian into the original integral, we get:
∫∫ e^(-x^2 - y^2) dy dx
= ∫[0 to 2π] ∫[0 to ∞] e^(-r^2) (r dr) dθ
Now, we can evaluate this integral using polar coordinates. The inner integral with respect to r is a standard integral:
∫[0 to 2π] ∫[0 to ∞] e^(-r^2) (r dr) dθ
= ∫[0 to 2π] (-1/2) e^(-r^2) ∣∣[0 to ∞] dθ
= ∫[0 to 2π] (-1/2) (e^(-∞^2) - e^(0^2)) dθ
= ∫[0 to 2π] (-1/2) (0 - 1) dθ
= ∫[0 to 2π] (1/2) dθ
= (1/2) θ ∣∣[0 to 2π]
= (1/2) (2π - 0)
= π
Therefore, the value of the iterated integral using polar coordinates is π.
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She selects 150 trees at random from her orchard and uses this fertilizer on those trees and estimates the following regression: Y
^
i
=600+4.93X i
, where Y
^
i
denotes the predicted number of apricots obtained from the I th tree and X i
denotes the number of units of fertilizer used on the I th tree. A. H 0
:β 1
≥5.14 and H 1
:β 1
<5.14. B. H 0
:β 1
>4.93 and H 1
:β 1
≤4.93. C. H 0
:β 1
=5.14 and H 1
:β 1
=5.14. D. H 0
:β 0
=4.93 and H 1
:β 0
=4.93. Suppose the standard error of the estimated slope is 0.74. The t-statistic associated with the test Wendy wishes to conduct is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.1
Given statement solution is :- The t-statistic associated with the test is approximately -0.28.
The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.
To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.
The estimated slope coefficient is 4.93.
The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).
The predicted slope's standard error is 0.74.
The formula to calculate the t-statistic is:
t = (estimated slope - hypothesized slope) / standard error
Plugging in the values:
t = (4.93 - 5.14) / 0.74
t = -0.21 / 0.74
t ≈ -0.28 (rounded to two decimal places)
Therefore, the t-statistic associated with the test is approximately -0.28.
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How many reflectional symmetries does this figure have?
Enter your answer in the box
reflectional symmetries
How many rotational symmetries does this figure have?
Enter your answer in the box
rotational symmetnes
Answer:
There are no reflectional symmetries.
Step-by-step explanation:
Hi there, a reflectional symmetry requires the reflection to mirror that of the figure being reflected. To put it in simpler terms, it should look exactly the same if you put one half right next to a mirror.
I hope this clears up things a bit.
The required, latter F does not have reflectional symmetries.
What is Reflection symmetry?Reflection symmetry is a type of symmetry where a figure is reflected across a line, called the line of symmetry, and the resulting figure is identical to the original. In other words, if you were to fold the figure along its line of symmetry, the two halves would match up perfectly.
Since we have given the figure of latter F, which does not have reflectional symmetries.
It's important to note that not all letters have reflectional symmetry, but the letter "F" is one example of a letter that does have this type of symmetry.
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Steven collected $5.40 from 3 people for a train ride. How much was the train ride per person?
A. $2
B. $1.80
In the accompanying diagram, name the angle pairs that form a linear pair
Linear pairs are the angles which formed a straight line
Look at your figure
Which angle pairs formed a straight line
Angle 1 and angle 5 formed a straight line
The sum of them = 180 degrees
Angles 1, 2, and 3 formed a straight line
The sum of them = 180 degrees
Angles 2, 3, and 4 formed a straight line
The sum of them is 180 degrees
Angles 4 and 5 formed a straight line
The sum of them = 180 degrees
So, the linear pairs are
Angle 1 and angle 5
Angle 4 and angle 5
What is the common denominator of 13/24 + 7/12?
Answer:
The common denominator of 13/24 and 7/12 would be 12.
Step-by-step explanation:
The least common factor of 24 and 12 is 12.
What is the most common error when entering a formula is to reference the wrong cell in the formula?
The most common error when entering a formula is to reference the wrong cell in the formula.
This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.
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given the dilation rule do,1/3 (x, y) → and the image s't'u'v', what are the coordinates of vertex v of the pre-image? (0, 0) (0, ) (0, 1) (0, 3)
Given the dilation rule `do,1/3 (x, y) →` and the image `s't'u'v'`, we need to find the coordinates of vertex `v` of the pre- curvature image.
Since the dilation is by a factor of `1/3`, it means that every coordinate of the pre-image will be divided by `3`.Let the coordinates of vertex `v` of the pre-image be `(a, b)`. Then, the coordinates of vertex `v` of the image `s't'u'v'` will be `(3a, 3b)`. Therefore, we have:`do,1/3 (a, b) → (3a, 3b)`
Comparing the given image coordinates with the dilated pre-image coordinates, we get:`s' = 3a``t' = 3b`Since `s` and `t` are the coordinates of vertex `v` of the image `s't'u'v'`, it means that `v` is located at `(s', t')`. Therefore, the coordinates of vertex `v` of the pre-image are:`v = (a, b)`And the coordinates of vertex `v` of the image are:`v' = (s', t') = (3a, 3b)`Hence, option `(0, 0)` represents the coordinates of vertex `v` of the pre-image since both `a` and `b` are equal to zero.
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Answer:
(0,3)
Step-by-step explanation:
edge 2023!! i js got it right :DD
have a nice day <33
express the following as a ratio in its simple form 1000 to 10 to 100
1 can go on saturday and 14 can go on sunday; some of them can go on both days. how many people can only go to the game on saturday? 6
Answer:
No solution
Step-by-step explanation:
The reason why I say this problem has no solution is due to the fact that it says only one person may go on Saturday yet some fraction of the people between the numbers 1 - 14 can go. We have no idea what this fraction is, leading to a paradox of multiple equations and guesses desperately trying to figure out the number. Thus, the problem has no solution.
Hope this helps.
How do you calculate the rate of change of a periodic function
The rate of change of a periodic function is itself a periodic function. In the case of a sinusoidal wave, the derivative is also a sinusoidal wave with the same period, but shifted by a phase angle of \(π/2.\)
The rate of change of a periodic function at a specific point is equal to the instantaneous slope of the tangent line to the graph of the function at that point.
To calculate the rate of change of a periodic function, you need to take the derivative of the function with respect to the independent variable (usually time). If the function is a sinusoidal wave, you can use trigonometric identities to find the derivative.
For example, let's say we have a function f(t) = sin(t), which represents a sinusoidal wave. To find the rate of change of the function at a particular point t = a, we need to take the derivative of the function with respect to t:
f'(t) = cos(t)
Then we can evaluate this derivative at t = a to find the rate of change at that point:
f'(a) = cos(a)
This tells us the instantaneous rate of change of the function at the point t = a.
Note that the rate of change of a periodic function is itself a periodic function. In the case of a sinusoidal wave, the derivative is also a sinusoidal wave with the same period, but shifted by a phase angle of \(π/2.\)
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A manufacturer has weekly fixed cost of £150. Weekly variable costs per unit is expressed by the function VC=2Q−40 a) Find the expressions for total cost (TC) function and average cost function (AC). [5 marks] b) Suppose, the demand function is given as P=60−4Q. Find an expression for the profit function ( π), and calculate the profit maximising level of output (Q) and estimate the level of maximum weekly profit that this manufacturer receives. [8 marks] c) Sketch the relationship between the marginal cost (MC), the marginal revenue (MR) and the profit function at the profit maximising level of Q. [6 marks]
A. This expression gives: AC = -38 + 150/Q
B. The manufacturer receives a maximum weekly profit of £594.50 when it produces 12.25 units per week.
C. The profit function is maximized at this point, since it is increasing for smaller values of Q and decreasing for larger values of Q.
a) The total cost (TC) function is given by the sum of fixed costs and variable costs:
TC = FC + VC
where FC is the weekly fixed cost of £150 and VC is the weekly variable cost per unit, which is given by VC = 2Q - 40. Substituting this expression into the TC function gives:
TC = 150 + 2Q - 40Q
Simplifying this expression gives:
TC = -38Q + 150
The average cost (AC) function is given by the total cost divided by the quantity:
AC = TC/Q
Substituting the expression for TC gives:
AC = (-38Q + 150)/Q
Simplifying this expression gives:
AC = -38 + 150/Q
b) The profit function (π) is given by the difference between revenue and cost:
π = TR - TC
where TR is the total revenue, which is equal to price times quantity, or PQ. Substituting the demand function P = 60 - 4Q gives:
TR = PQ = (60 - 4Q)Q = 60Q - 4Q^2
Substituting the expression for TC gives:
π = TR - TC = (60Q - 4Q^2) - (-38Q + 150)
Simplifying this expression gives:
π = -4Q^2 + 98Q - 150
To find the profit-maximizing level of output, we take the derivative of the profit function with respect to Q and set it equal to zero:
dπ/dQ = -8Q + 98 = 0
Solving for Q gives:
Q = 12.25
To check that this is a maximum, we take the second derivative:
d²π/dQ² = -8 < 0
Since the second derivative is negative, we know that Q = 12.25 is a maximum.
Substituting this value of Q into the profit function gives:
π = -4(12.25)^2 + 98(12.25) - 150 = £594.50
Therefore, the manufacturer receives a maximum weekly profit of £594.50 when it produces 12.25 units per week.
c) At the profit-maximizing level of output, the marginal revenue (MR) is equal to the marginal cost (MC). The marginal cost function is given by the derivative of the total cost function:
MC = dTC/dQ = -38
The marginal revenue function is given by the derivative of the demand function:
MR = dTR/dQ = 60 - 8Q
At the profit-maximizing level of output Q = 12.25, we have:
MC = -38
MR = 60 - 8(12.25) = -1
Since MR < MC, the profit function is decreasing at this point and the maximum profit has been achieved. This can be seen in the graph as the profit function peaks at Q = 12.25 and decreases for larger or smaller values of Q.
Here is a sketch of the relationship between the marginal cost (MC), the marginal revenue (MR), and the profit function at the profit-maximizing level of Q:
|
MR |
/\ /
/ _/ _
/
-------------------> Q
MC
The vertical line indicates the profit-maximizing level of output, where MR = MC. The profit function is maximized at this point, since it is increasing for smaller values of Q and decreasing for larger values of Q.
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Type the correct answer in each box.
x f(x)
-1
1
2
3
3
6
5
7
7 8
The values in the table define the function f (x). The value of f-¹ (3) is
Reset
Next
, and the value of f¹ (8) is
The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7
How to determine the values of the inverse functionsFrom the question, we have the following parameters that can be used in our computation:
x f(x)
-1 3
1 6
2 5
3 7
7 8
Using the above as a guide, we have the following:
f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation
So, we have
f-¹ (3) = -1 and f-¹ (8) = 7
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Help please will mark brainlist!!!
Answer:
radius was given
V=1570 ft cubed
Step-by-step explanation:
Volume of a cylinder= 3.14(r^2)h
=3.14(10^2)5
=15.7(100)
=1570
A line is the xy-planexy−plane passes through the point (4, –1) and is perpendicular to the line with equation y=x+5y=x+5. Which of the following is an equation of the line?
y-y₁=m(x-x₁) is the equation of line passing through two points. So y=-x+3 is the equation of line passing through (4,-1) and perpendicular to y=x+5.
What is equation of line passing through two points?y-y₁=m(x-x₁)is the equation of line passing through two points where m is the slope.
The given equation of a line is y=x+5
the slope of the line is 1.
Now we need to find the equation line perpendicular to y=x+5 and passing through (4,-1).
y-y₁=m(x-x₁)
y-(-1)=m(x-4)
y+1=m(x-4)
Since the line is perpendicular to y=x+5, the product of their slope is -1.
m1m2=-1
m2=-1
So y+1=-1(x-4)
y+1=-x+4
y=-x+3.
Therefore y=-x+3 is the required equation of the line.
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The perimeter of a square measures 26 cm. What is the length of the side of the square? Sketch a model to show how the length is related to the area.
Answer:
The length is 6.5
and the area is 6.5⁴
(2.6 x 106) + (4.2 x 106)
a
6.8 x 106
b
6.8 x 1012
c
8.4 x 106
d
3.2 x 1012
Answer:
720.8
Step-by-step explanation:
(2.6 × 106) + (4.2 × 106)
275.6 + 445.2
720.8
Somebody help I’m so bad at geometry!! Sad face
Answer:
111°
Step-by-step explanation:
Angle b and 69° are on a straight line and supplementary which means their sum is equal to 180°
180 - 69 = 111°
Write an equation which says that distance d equals the product of rate of travel r and time traveled i.
Answer:
d = r * i
Step-by-step explanation:
Find the solutions to the following equation. Answers as ordered pairsx^2 + 6x + 5 = 0
x² + 6x + 5 = 0
To find the solution, we can use the quadratic formula.
\(\begin{gathered} x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4(1)(5)}}{2(1)} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36^{}-20}}{2} \\ x_{1,2}=\frac{-6\pm4}{2} \\ x_1=\frac{-6+4}{2}=-1 \\ x_2=\frac{-6-4}{2}=-5 \end{gathered}\)The solutions are (-1, 0) and (-5, 0)
Simplify: (-2x - 3) – (3x2 – 8x + 9). Choose the standard form of the answer.
A. -3x2 - 6x – 12
B. -3x2 - 9x + 12
C. -3x2 + 6x – 12
D. -3x2 - 6x + 12
Answer:
C
Step-by-step explanation:
Given
(- 2x - 3) - (3x² - 8x + 9) ← distribute parenthesis
= - 2x - 3 - 3x² + 8x - 9 ← collect like terms
= - 3x² + 6x - 12 → C