Option C is correct. When there is no other way to achieve a specific research goal minimal deception considered ethical in research.
When there is no other way to achieve a specific research goal. Minimal deception is considered ethical in research only when it is necessary to achieve a specific research goal, and there is no other way to achieve that goal without using deception. In these cases, the use of deception should be justified and minimized as much as possible.
Researchers should consider the potential harm to participants, and carefully weigh the potential benefits of the research against any potential harm.
Additionally, the use of deception should be disclosed to participants as soon as possible after the completion of the study, so that they can understand what has occurred and why. Overall, researchers should strive to be transparent and to minimize the use of deception whenever possible, and to use it only when it is necessary to achieve a specific research goal that cannot be accomplished through other means.
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mercedes is running a special in which all SUVs are marked down for 15%. Mr. Estes purchased a G wagon for 160,000. What did he pay for the SUV after the discount was applied?
A.110,000
B.105,000
C.136,000
D. 125,000
The required payment for the SUV after the discount was applied is 136,000. Option C is correct.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
All SUVs are marked down by 15%.
Cost of G wagon = 160, 000
Cost after discount = 160000 - 15% of 160,000
= 136000
Thus, the required payment for the SUV after the discount was applied is 136,000. Option C is correct.
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The amount after discount is $136000.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Mercedes is running a special in which all SUVs are marked down for 15%. Mr. Estes purchased a G wagon for 160,000.
The amount after the discount was applied is -
D = 15% of 160000
D = (15/100) x 16000
D = 15 x 160
D = 2400
A = 160000 - 2400 =
A = 136000
Therefore, the amount after discount is $136000.
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Lucy had $72, which is nine times as much money as Xavier had. How much money did Xavier have? Select the correct solution method below, representing Xavier's money with x. O A. § = 72. Multiply both sides by 9. Xavier had $648. • B. x+ 9 = 72. Subtract 9 from both sides. Xavier had $63. O C. x-9 = 72. Add 9 to both sides. Xavier had $81. D. 9x = 72. Divide both sides by 9. Xavier had $8.
Answer:
Step-by-step explanation:
Divide both sides by 9. Xavier had $8.
if Lucy has 9 times as much as Xavier 8 times 9 =72
Determine whether the value given below is from a discrete or continuous data set
When a car is randomly selected and weighed it is found to weigh 1628.3 kg.
a. A discrete data set because there are infinitely many possible values
b. A discrete data set because the possible values can be counted
c. A continous data set because the possible values can be counted
d. A continous data set because there are infinitely many possible values
The value given is from a continuous data set because there are infinitely many possible values.
In statistics, a discrete data set is a set of data that can only take certain values, typically whole numbers, that can be counted. A continuous data set is a set of data that can take any value within a certain range, and the values can't be counted as they are infinite in number.
In the given scenario, the weight of a car can take any value within a certain range, and there are infinitely many possible values between any two values. For example, between 1628.3 kg and 1628.4 kg, the car's weight could be an infinite number of values. Hence, the weight of the car is a continuous variable, and the given value of 1628.3 kg is part of a continuous data set.
Hence, the correct answer is d.
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Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity.
The sum of cubes identity states that a^3 + b^3 = (a+b)(a^2 - ab + b^2). To find the factors of 8x^6 + 27y^3, we can apply this identity to the expression by identifying a and b:
What is the identity of the sum of cubes?
What Does the Algebraic Sum of Cubes Formula Mean? One of the key algebraic identities is the sum of cubes formula. Its symbol is written as a3 + b3 and is interpreted as a cube plus a cube. A3 + b3 = (a + b) (a2 - ab + b2) is how the sum of cubes formula (a3 + b3) is written.
8x^6 + 27y^3 = (2x^2)^3 + (3y)^3
We can then apply the identity to get:
(2x^2)^3 + (3y)^3 = (2x^2 + 3y)((2x^2)^2 - 2x^2*3y + (3y)^2)
This gives us the factors of 8x^6 + 27y^3 as (2x^2 + 3y)(4x^4 - 6x^2y^2 + 9y^2).
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A local service organization is wrapping gifts at the mall to raise money for charity. Yesterday they wrapped 12 small gifts and 45 large gifts earning a total of $339. Today they wrapped 35 small gifts and 42 large gifts, and earned $364. How much did they charge to wrap the gifts
The price for wrapping small gifts is $2 and the price for wrapping large gifts is $7
How to find the amount charged to wrap the giftsThe problem is a simultaneous equation of two unknowns with two equations.
The equations are formed as follows
Yesterday they wrapped 12 small gifts and 45 large gifts earning a total of $339
say small gifts = g and large gifts is = G
12g + 45G = $339
Today they wrapped 35 small gifts and 42 large gifts, and earned $364
35g + 42G = $364
The simultaneous equation
12g + 45G = $339
35g + 42G = $364
solving the simultaneous equation gives
g = $2 and G = $7
Hence the price for wrapping small gifts is $2 and that of big gifts is $7
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Consider the equation z^16=(−1−i). Find the value of z which satisfies this equation and which has the second smallest positive argument θ, 0<θ<2π. Express your answer as z=re^iθ where r=______and theta=_________.Consider the equation z^13=(−1+sqrt3i). Find the value of z which satisfies this equation and which has the second smallest positive argument θ,0<θ<2π. Express your answer as z=re^iθ where r=_________ and theta=__________
1. Considering the equation [tex]z^{16}[/tex] = −1−i.The value of z which satisfies this equation and which has the second smallest positive argument θ, 0<θ<2π as z=r[tex]e^{i\theta}[/tex] where r = [tex]\underline{2^{1/32}}[/tex] and θ = 13π/64.
2. Considering the equation [tex]z^{13}=(-1+\sqrt{3i})[/tex]. The value of z which satisfies this equation and which has the second smallest positive argument θ,0<θ<2π as z=r[tex]e^{i\theta}[/tex] where r = [tex]\underline{2^{1/13}}[/tex] and θ = 8π/39.
1. The equation is z^{16} = -1 - i.
We have express our answer in the form of
[tex]\; z = re^{i\theta }[/tex]
When we enter it into the first equation, we obtain,
[tex]r^{16}e^{16i\theta }=-1-i\; \; \; \; \; \; \; \; \; \; \; \;[/tex]--(2)
Using the modulus of both sides, we obtain,
[tex]\left |r^{16} \right |\: \: \left | e^{16i\theta } \right |=\sqrt{\left ( -1 \right )^{2}+\left ( -1 \right )^{2}}[/tex]
Simplifying
[tex]\; \; \; \; \; r^{16}=\sqrt{2}[/tex]
Taking root of 16 on both side, we get
[tex]r=2^{1/32}[/tex]
Plugging this value of 'r' back in equation (2), we get,
[tex]\sqrt{2}\; \; e^{16i\theta }=-1-i[/tex]
Divide by √2 on both side, we get
[tex]e^{16i\theta }=-\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i[/tex]
We can write [tex]e^{16i\theta }[/tex] as
[tex]\; \; \; \;cos16\theta +isin16\theta =-\frac{1}{\sqrt{2}}-\frac{1}{\sqrt{2}}i[/tex]
On comparing, we get
[tex]\; \; \; \;cos16\theta=-\frac{1}{\sqrt{2}}\;, \; \; \; \; \; \; \; sin16\theta =-\frac{1}{\sqrt{2}}[/tex]
Angle must therefore be in the third quadrant.
[tex]16\theta=\pi +\frac{\pi }{4}=\frac{5\pi }{4}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;16\theta=\frac{5\pi }{4}+2\pi =\frac{13\pi }{4}[/tex]
[tex]\theta=\frac{5\pi }{64}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;\theta=\frac{13\pi }{64}[/tex]
So, second smallest positive argument = 13π/64.
2) The equation is [tex]z^{13} = -1 +\sqrt{3i}[/tex].
We have express our answer in the form of
[tex]\; z = re^{i\theta }[/tex]
When we enter it into the first equation, we obtain,
[tex]r^{13}e^{13i\theta }=-1+\sqrt{3}i\; \; \; \; \; \; \; \; \; \; \; \;[/tex]
Using the modulus of both sides, we obtain,
[tex]\left |r^{13} \right |\: \: \left | e^{13i\theta } \right |=\sqrt{\left ( -1 \right )^{2}+\left ( \sqrt{3} \right )^{2}}[/tex]
Simplifying
[tex]r^{13}=2[/tex]
Taking root of 13 on both side, we get
[tex]r=2^{1/13}[/tex]
Reintroducing this 'r' value into the equation from [tex]r^{13}e^{13i\theta }=-1+\sqrt{3}[/tex], we get,
[tex]2e^{13i\theta }=-1+\sqrt{3}i[/tex]
Divide 2 on both side, we get
[tex]e^{13i\theta }=-\frac{1}{2}+\frac{\sqrt{3}}{2}i[/tex]
We can write [tex]e^{13i\theta }[/tex] as
[tex]\; \; \; \;cos13\theta +isin13\theta =-\frac{1}{2}+\frac{\sqrt{3}}{2}i[/tex]
[tex]\; \; \; \;cos13\theta=-\frac{1}{2}\;, \; \; \; \; \; \; \; sin13\theta =\frac{\sqrt{3}}{2}[/tex]
Angle must therefore be in the second quadrant.
[tex]13\theta=\pi -\frac{\pi }{3}=\frac{2\pi }{3}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;13\theta=\frac{2\pi }{3}+2\pi =\frac{8\pi }{3}[/tex]
[tex]\theta=\frac{2\pi }{39}\; \; \; \; \; \; \; \; ,\; \; \; \; \; \; \; \;\theta=\frac{8\pi }{39}[/tex]
So, second smallest positive argument = 8π/39.
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What is the range of this function?
(1, -2)
(-6, 6)
(9, -1)
(2, 0)
Answer:
-2, -1, 0, 6
Step-by-step explanation:
The range is the outputs or the y values. I just put them in order from least to greatest
(1, -2)
(9, -1)
(2, 0)
(-6, 6)
Problem: Matrix MultiplicationInput: Two matrices, A (of dimension x xy) and B (dimension y x z).Output: An x x z matrix C where C[i][j] is the dot product of the ith row of A and the jth column of B.for (i=1; i<=x; i++)for (j=1; j<=y; j++){C = 0;for (k=1; k<=z; k++)C[][] += A[i][k] * B[k][j];} What is the time complexity of this problem? There are multiple correct answers.☐ O(n³)□ 0(n4)0(3n)
The time complexity average of this problem is O(n³). It involves three nested loops, each loop iterating n times. Therefore, the time complexity is O(n³).
The time complexity of this problem is O(n³). This problem involves three nested loops, each loop iterating n times. This means that the problem requires at least O(n³) time to complete. In the outer loop, which is the first loop, the value of i is initialized to 1 and then the loop iterates n times, meaning that the outer loop requires O(n) time. In the second loop, which is the nested loop, the value of j is initialized to 1 and then the loop iterates n times, meaning that the second loop requires O(n) time. In the third loop, which is the innermost loop, the value of k is initialized to 1 and then the loop iterates n times, meaning that the third loop requires O(n) time. Since the three loops are nested, the total time complexity of this problem is the product of the time complexities of the three loops, which is O(n³). Therefore, the time complexity of this problem is O(n³).
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help fast ! i need the answer
The expression's result is -2 [tex]\sqrt[3]{89}[/tex] when it is stated that a = 64 and b = -5. Scientific operation, expression, and numeral
what is expression ?Multiplying, split, adding, and withdrawing are all possible in mathematics. As an example, consider the following expression: Scientific operation, expression, and numeral The elements that make up a mathematical expression include numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) One can contrast two expressions or sentences. The terms "expression" or "algebraic expression" refer to any mathematical statement that has variables, numbers, and also an arithmetic procedure between them. For instance, the statement 4m + 5 consists of the terms 4m and 5, as well as the variable m from the given expression, all of which are divided by the arithmetic sign +.
given
a = 64
b = -5
= -2[tex]\sqrt[3]{a+b^{2} }[/tex]
= -2 [tex]\sqrt[3]{89}[/tex]
The expression's result is -2 [tex]\sqrt[3]{89}[/tex] when it is stated that a = 64 and b = -5.
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The correct question is :- What is the value of this expression when a = 64 and b = -5 ?
-2[tex]\sqrt[3]{a+b^{2} }[/tex]
How many times more material was used to build the Hoover dam than the American falls down record your answer to the nearest whole number
57 times more material was used to build the Hoover dam than the American falls .
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Volume of Hover dam = 4 x [tex]10^6[/tex]
Volume of American Falls dam = 7 x [tex]10^4[/tex]
So, the number of times more material used
= Volume of Hover dam / Volume of American Falls dam
= 4 x [tex]10^6[/tex] / 7 x [tex]10^4[/tex]
= 400 x [tex]10^4[/tex] / 7 x [tex]10^4[/tex]
= 57.14
Hence, 57.14 times more material used.
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What is the next 4 multiples of 5/10
Answer:
The next four multiples of 5/10 are:
1. ➡️ 1/2
2. ➡️ 3/4
3. ➡️ 1
4. ➡️ 1 1/4
suppose we wish to estimate the percentage of students who smoke cigarettes at each of several colleges and universities. two of the colleges are wabash college (enrollment 900) and purdue university (enrollment 36,000). what should the relative size of our samples be from each school if we want the two sampling distributions to have approximately the same standard deviation?
The relative size of the samples from each school should be proportional to the square root of the enrollment at each school.
The relative size of the samples from each school should be proportional to the square root of the enrollment at each school. So, for Wabash College, we would want to sample approximately √(900) = 30 students, and for Purdue University, we would want to sample approximately √(36,000) = 180 students.
This would ensure that the standard deviation of the sample proportions from each school would be approximately the same.
So, the relative size of the samples from each school should be proportional to the square root of the enrollment at each school.
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What is the answer to this question?
The length of the rectangular pool is x + 7.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Area of a rectangular shape = Length × Width
Given that,
Area = x² + 15x + 56
Width = x + 8
Substituting,
x² + 15x + 56 = Length (x + 8)
Length = (x² + 15x + 56) / (x + 8)
Factorize x² + 15x + 56.
x² + 15x + 56 = (x + 7) (x + 8)
So length = x + 7
Hence the length of the pool can be represented as x + 7.
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A box is in the shape of a right rectangular prism. The area of one of the bases is shown. What is the height h of the box? Use the formula V = B x h, where V is the volume of the right rectangular prism, B is the area of the base, and h is the height.
The height of the rectangular prism is 5 feet.
How to find the height of a rectangular prism?A box is in the shape of a right rectangular prism. The area of one of the bases is shown.
Let's find the height of the box.
Using the volume of a rectangular prism,
volume of a rectangular prism = Bh
where
B = base areah = height of the boxV = B × h
where V is the volume of the right rectangular prism, B is the area of the base, and h is the height.
Hence,
h = V / B
h = 60 / 12
Therefore,
h = 5 ft
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the fourteen digits of an account number are to be written, one per unit square, in the string of unit squares below. the sum of any three consecutive digits is 15. what is the value of x?
The value of x is 4 which means that the first digit in the sequence is 4, the second digit is 5, the third digit is 6, and so on.
This problem is asking for the value of x in a sequence of 14 digits where the sum of any three consecutive digits is equal to 15. To solve for x, we can use the information provided and basic algebra.
Let's assign a variable to each of the 14 digits in the sequence. For example, let x be the first digit, (x + 1) be the second digit, (x + 2) be the third digit, and so on. Then, the sum of any three consecutive digits must equal 15:
x + (x + 1) + (x + 2) = 15
Expanding and solving for x, we get:
3x + 3 = 15
3x = 12
x = 4
So, the value of x is 4. This means that the first digit in the sequence is 4, the second digit is 5, the third digit is 6, and so on. By continuing this pattern, we can fill in the entire sequence of 14 digits such that the sum of any three consecutive digits is equal to 15.
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Please Help I will Mark Brainlist its Math Question!!
When two or more roads or lines cross each other, they come together. You may also remark that two roads or lines cross.
What is the intersect command?They are referred to be intersecting lines when two or more lines in a plane cross each other.The common point shared by all intersecting lines is known as the point of intersection, and it can be found on all of them. Point O in this case represents the intersection of lines P and Q.
A line is something that is made up of indivisible points that stretch in many directions, to put it simply. Let's use the two points A and B as an example. Now, a line connecting points A and B can be drawn.
Line AB is the name of this line, which stretches in both directions. Arrows are used to represent lines to show that they have no ends and go on forever.
solve log(x)=-x+6
log(x)=-x+6 it can be written as
⇒log(x)+x+6=0
⇒log(1/x+6)=0
It will be in the form of lod(1/a+b)
so we can write log(x)+log(1+6/x)
Therefore, if modulus of 6/x <0 then it can be written as
∞ =log(x)-∑xn/n
n-1
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The following is an incomplete paragraph proving that ∠WRS ≅ ∠VQT, given the information in the figure where segment UV is parallel to segment WZ.:According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are ________ angles, they are congruent according to the ________ Angles Theorem. Finally, angle VQT is congruent to angle WRS by the Transitive Property of Equality.
Which term accurately completes the proof?
The transitive term accurately completes the proof
What is the vertical angle theorem?
According to the vertical angle theorem, the vertical angles that are created when two lines intersect are congruent. The opposing angles of two intersecting lines must be congruent, or identical in value.
Here, we have
Given: segment UV is parallel to segment WZ. According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQT is congruent to angle SQU by the Vertical Angles Theorem.
we are given a line of thought trying to prove different entities proven to be congruent by different arguments or proof.
Eventually, the two are associated using a property called transitivity. This property is used to associate A and C when A is equal to B and B is equal to C.
Hence, the transitive term accurately completes the proof.
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Thi i a pond in the hape of a prim. It i completely full of water. Colin ue a pump to empty the pond. The level goe down by 20cm in the firt 30min. How many minute until completely empty
This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.
We have a pond which is completely filled with the water.
Area of the side face ( trapezium shaped)
= 1/2 x (1.4 + 0.6) x 2
= 2 m²
Volume = area x height (here width)
V = 2x1 = 2 m³
The level goes down by 20cm in the first 30 mins
Volume of water that will be taken down =
=0.2 x 1 x 2
=0.4 m³ ( upper water will form cuboid face)
Now,
⇒0.4 m³ water is taken out in 30 minutes
⇒1 m³ water is taken out in 30/0.4 minutes
⇒2 m³ water is taken out in 30/0.4 x 2 minutes
⇒30x2/0.4
⇒150 minutes.
So the pond will be completely empty in 150 min that is 2hrs30mins.
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Examine the paragraph proof. Which theorem does it offer proof for?
Segments JK and HI are parallel, segment LO intersects segment JK at point N, segment LO intersects segment HI at point M, and points N and M are between points L and O on segment LO.
Prove: ∠JNM ≅ ∠NMI
According to the given information in the image, segment JK is parallel to segment HI while ∠JNM and ∠LNK are vertical angles. ∠JNM and ∠LNK are congruent by the Vertical Angles Theorem. Because ∠LNK and ∠NMI are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠JNM is congruent to ∠NMI by the Transitive Property of Equality.
Alternate Interior Angles Theorem
Corresponding Angles Theorem
Vertical Angles Theorem
Same-Side Interior Angles Theorem
Based on the given information, the theorem the paragraph proof offers proof for is: A. Alternate Interior Angles Theorem
What is the Alternate Interior Angles Theorem?The Alternate Interior Angles Theorem states that when two parallel lines are intersected by a transversal (a line that intersects two or more other lines), the pairs of alternate interior angles formed are congruent.
In other words, if you have two parallel lines and a transversal intersecting them, and you draw a line segment connecting two nonadjacent interior angles on opposite sides of the transversal, then those two angles will be congruent. This is because they are alternate (they are on opposite sides of the transversal and between the parallel lines) and interior (they are inside the parallel lines).
Therefore, the theorem the paragraph proof offers is: Alternate Interior Angles Theorem.
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Answer: (A) Alternate Interior Angles Theorem
Step-by-step explanation: cyberia
12. The volume, in cubic meters of a rectangular box can be expressed as the product of its three
dimensions and with the function V(x) = x³ - 9x² + 23x - 15. The length of the box is represented
by the expression (x - 1). Find linear expressions with integer coefficients for the width and height.
Hint: The width is greater than the height. Show your work.
The linear formulas with integer coefficients for width and height are (x - 1)(x+3)(x+4).
what is coefficient ?A algebraic, a set, or the multiplying coefficient of a specific term in an equation have all been examples of variables in mathematics. Usually numeric, but any phrase is acceptable. If the coefficients are variables, they can also be referred to as "parameters" by themselves. A coefficient is a number multiplied by a variable. Examples of coefficients include: In the expression 14c 14c 14c, the coefficient is 14. Word g has a coefficient of 1, which doubles the element by this figure. example The coefficient is 6 because "z" is a constant and the term is defined as is 6z. The square of x's coefficient is one.
given
by long division method
x³ - 9x² + 23x - 15 / (x - 1)
= x2 + 4x + 3
( x2 + 4x + 3 ) (x - 1)
= (x - 1)(x+3) (x+4)
The linear formulas with integer coefficients for width and height are (x - 1)(x+3)(x+4).
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In trapezoid $JKLM$ , $\angle J$ and $\angle M$ are right angles, and $JK=9$ centimeters. The length of midsegment $\overline{NP}$ of trapezoid $JKLM$ is $12$ centimeters. Sketch trapezoid $JKLM$ and its midsegment.
Find $ML$ .
The length of the line segment ML is 15 cm.
What is a trapezoid?An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.
A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.
The altitude is the measurement of the angle perpendicular to the parallel sides.
The area of a trapezoid is (1/2)×(sum of the two parallel sides)×height.
From the given information,
m∠LJ = m∠LM = 90°.
So, m∠LJ + m∠LM = 180°.
Line segment ML is parallel to JK.
Therefore, NP is the midline of the trapezoid.
ML + JK = 2NP.
JK = 2NP - ML.
9 = 24 - ML.
ML = 15 cm.
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help, I don't want to get it wrong
Answer:
1/2
Step-by-step explanation:
So the point of this question is to compare all of the answers and see which one fits best. To do this, first change the denominator to match 5/8. To convert 1/2 into eighths, multiply 2 by 4 so you get eight. Since you did that, you have to do the same to the numerator. Therefore:
1/2 = 4/8
Is 4/8 less than 5/8? Yes. Is it greater than 1/9? Yes, but how? Do the same thing but instead convert 1/2 into ninths. Multiple 2 by 4.5 to get 9 and 1 by 4.5 to get 4.5.
1/2 = 4.5/9
4.5/9 is greater than 1/9, so you answer would be 1/2.
Normally you would test every answer, but to save time I'll just stop there because the first option was correct. I hope you understand. :)
Answer:
1/2
Step-by-step explanation:
1/2 = 4/8 which is less than 5/8.
1/9 = 2/18
1/2 = 9/18 which is greater than 2/18 (same as 1/9)
normal approximation for binomial distribution
when n is large we can use this to determine probabilities for binomial settings
In mathematical terms, if X is the sum of successes in n different Bernoulli trials, and p is the likelihood of success in each trial, then X may be represented as a normal distribution with mean increasing as n rises.
μ = np
variance σ^2 = np(1-p)
What is binomial distribution?The binomial distribution is a discrete probability distribution that produces just two outcomes in an experiment: success or failure. In a binomial distribution, the chance of success must remain constant during the trials under consideration. For example, because there are only two possible outcomes when tossing a coin, the chance of flipping a coin is 1/2 or 0.5 for each experiment we do.
Here,
When the sample size (n) is high, the distribution of the total of successes (k) in n separate Bernoulli trials approaches a normal distribution, according to the normal approximation for the binomial distribution.
In mathematical terms, if X is the total of successes in n separate Bernoulli trials, with p being the chance of success in each trial, then X may be represented by a normal distribution with mean as n increases.
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Help me with thisss pleaseee
Answer:
see below
Step-by-step explanation:
z+66+z+69+43z=180
so 45z=180-66-69 = 45
so z=1
so angle U= 43 its opposite side length ST is the smallest
same logic for the other 2.
66+1=67
69+1=70
so ST<US <TU
Abag of cat treats has 170 individual treats inside. My cat can eat 5 treats per day. What is the rate of change? How many treats are left in the bag after 20 days?
The rate of change is -5.
The number of treat left in the bag after 20 dyas is 70.
How to find rate of change?A bag of cat treats has 170 individual treats inside. Your cat can eat 5 treats per day. Therefore, the rate of change can be calculated as follows:
The rate of change is the rate at which one quantity is changing with respect to another quantity.
Therefore, using equation
y = mx + b
where
m = slope = rate of changeb = y-interceptTherefore,
y = 170 - 5x
where
y = treat left in the bagx = number of daysHence,
rate of change = -5
Let's find the treat left in the bag after 20 days
y = 170 - 5x
y = 170 - 5(20)
y = 170 - 100
y = 70
Therefore, 70 treat is left in the bag.
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( WILL GIVE BRAINLIEST FOR CORRECT ANSWER ) Which expression is equivalent to [4x4(2x3)]2? Responses A . 16x1016, x, 10 B. 16x3616, x, 36 C. 64x1464, x, 14 D. 64x4964, x, 49 E. 64x144
Answer:
D. 64x4964, x, 49
Step-by-step explanation:
The expression [4x4(2x3)]2 means to square the result of the expression inside the brackets.
4x4 = 16x4
2x3 = 6x3
So, [4x4(2x3)] = [16x4(6x3)] = 96x7.
Squaring this result, we get
[4x4(2x3)]2 = 96x7 * 96x7 = (96 * 96)x(7 * 7) = 9216x49 = 9216x^49.
Therefore, the expression [4x4(2x3)]2 is equivalent to 64x49, x, 49.
(1 point) if (1)=−2, (5)=−7, and ∫51()=−8, evaluate the integral ∫51′().
Combining the given information, ∫51′() = f(5) - f(1) = -7 - (-2) = -5. , the integral of ∫51′() is equal to -5.
In order to evaluate the integral ∫51′(), we need to use the Fundamental Theorem of Calculus. The Fundamental Theorem of Calculus states that the integral of a function's derivative is equal to the function value evaluated from one point to another. For example, if f'(x) is the derivative of a function f(x), then the integral of f'(x) from x = a to x = b is equal to f(b) - f(a).
Using the given information, we can solve the integral ∫51′() as follows. We know that the derivative of our function is 1, so the integral of 1 from x = 1 to x = 5 is equal to f(5) - f(1). Therefore, combining the given information, ∫51′() = f(5) - f(1) = -7 - (-2) = -5. Therefore, the integral of ∫51′() is equal to -5.
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Help? (FILL IN THE BLANKS) GIVING BRAINLIEST
To fill the blank of the given table above is represented below as follows:
1= 11.4 grams
2= 22.8 grams
6= 68.4 grams
10 = 114 grams
How to calculate the grams per package?If 2 packages = 22.8 g
1 package = X grams
Make X the subject of formula;
x grams = 22.8/2 = 11.4grams
If 1 package = 11.4 grams
6 packages = y grams
Make y the subject of formula;
y = 6×11.4
y = 68.4 grams
If 1 package = 11.4 grams
z packages = 114 grams
make z the subject of formula;
z = 114/11.4
z = 10 packages.
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when calculating the percent of pitches thrown at least 92 mph, why did we have to subtract from 100%?
When calculating the percent of pitches thrown at least 92 mph, we subtract from 100% to find the percentage of pitches that fall within a certain threshold (in this case, 92 mph).
When calculating the percentage of pitches thrown at a certain speed, say 92 mph, we use 100% as a reference point. 100% means all of the pitches. By subtracting the percentage of pitches thrown below 92 mph from 100%, we find the percentage of pitches that were thrown at 92 mph or above. This helps us understand what proportion of pitches were thrown at this speed or higher, compared to the total number of pitches thrown. By doing this, we can see how many pitches fall within a certain threshold, in this case 92 mph or above.
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a five card hand of cards is dealt from a deck of 52 cards. how many ways can the hand have 3 hearts and 2 diamonds?
The number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.
The number of ways to choose 3 hearts from the 13 available hearts is given by the binomial coefficient C(13,3). The number of ways to choose 2 diamonds from the 13 available diamonds is given by C(13,2). The total number of ways to choose 3 hearts and 2 diamonds from the deck of 52 cards is the product of these two binomial coefficients: C(13,3) * C(13,2).
i.e.
There are 13 hearts and 13 diamonds in a deck of 52 cards.
To choose 3 hearts, we have C(13,3) = 13!/(3!(13-3)!) = 286 ways.
To choose 2 diamonds, we have C(13,2) = 13!/(2!(13-2)!) = 78 ways.
Therefore, the number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.
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