In a class test containing 25 questions 4 marks are awarded for every correct
answers and – 2 marks are awarded for every incorrect answers and 0 for
questions not attempted. If seena got 14 correct answers and 9 incorrect answers
out of the questions she attempted, find the mark scored by her

dx/dt = 800/p

To find p, we need more information about the product. Without that information, we cannot give a numerical answer. However, we can say that the rate of sales changing when 1700 units have been made and sold is proportional to 1/p, which means that if the price increases, the rate of sales will decrease, and vice versa.

To solve this problem, we need to use the derivative of the revenue function with respect to time. Let R be the revenue function, and let t be the time (in months). Then,

R = x * p

where p is the price of each unit. Since the revenue is changing at a rate of $800 per month, we have

dR/dt = 800

Using the product rule of differentiation, we can write

dR/dt = dx/dt * p + x * dp/dt

Since the problem asks for the rate of sales changing, we are interested in dx/dt. At the point where 1700 units have been made and sold, we have x = 1700. We also know that dp/dt = 0, since the price is assumed to be constant. Substituting these values into the equation above, we get

800 = dx/dt * p + 1700 * 0

Solving for dx/dt, we get

dx/dt = 800/p

To find p, we need more information about the product. Without that information, we cannot give a numerical answer. However, we can say that the rate of sales changing when 1700 units have been made and sold is proportional to 1/p, which means that if the price increases, the rate of sales will decrease, and vice versa.

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Answer:

inverse of f(x)=x7−4 f ( x ) = x 7 - 4 .

Answer:

97,288

Step-by-step explanation:

if im pretty sure like they subtract

Answer:

97,288

Step-by-step explanation:

The expected value 'w' for the total raffle tickets sold for $1.00 with other conditions is equal to $0.784.

Number of raffle tickets sold for $1.00 = 2000

Expected value of w is ,

= Expected value of the prize won - cost of a single ticket $1.00

The probability of winning a $25 prize is

=  20/2000

= 0.01.

The expected value of winning this prize is equal to

= (25 - 1) × 0.01

= 0.24

The probability of winning a $50 prize is

= 10/2000

= 0.005.

The expected value of winning this prize is equal to

=  (50 - 1) × 0.005

= 0.245

The probability of winning a $300 prize is

= 2/2000

= 0.001.

The expected value of winning this prize is,

= (300 - 1) × 0.001

= 0.299

This implies,

The expected value of w is equal to

= 0.24 + 0.245 + 0.299

= 0.784

Therefore, the expected value of winning a prize minus the cost of the ticket is $0.784.

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The point satisfies both equation 1 and 2" and "The point is a solution to the system.

An equation is a mathematical statement that shows the equality of two expressions. Equations can be used to represent relationships between variables and to solve problems. They are written using an equal sign (=) and can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.

For example, the equation 2x + 3 = 7 is an equation that states that the expression on the left side (2x + 3) is equal to the expression on the right side (7). The goal is to find the value of the variable x that satisfies the equation. In this case, x = 2 is a solution to the equation.

To check whether a point is a solution to a system of equations, we can substitute the values of the variables into the equations and see if the resulting expressions are equal.

So, for the point (-3, -2), we can substitute these values into the equations:

Equation 1: -7x - 4y = 29

Substituting x = -3 , y = -2:

-7(-3) - 4(-2) = 29

21 + 8 = 29

29 = 29

Equation 2: 3x = -7 + y

Substituting x = -3 , y = -2:

3(-3) = -7 + (-2)

-9 = -9

Since both equations are true, the point (-3, -2) satisfies both equation 1 and 2, and is a solution to the system.

Therefore, the true statement from the list is "The point satisfies both equation 1 and 2" and "The point is a solution to the system".

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The probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

To determine the probability that the cab involved in the incident was Blue rather than Green, we can use Bayes' theorem.

Let's define the events:

A: The cab involved in the incident was Blue.

B: The witness identified the cab as Blue.

We are given the following probabilities:

P(A) = 0.15 (15% of cabs are Blue)

P(B|A) = 0.80 (the witness correctly identified a Blue cab as Blue)

P(B|¬A) = 0.20 (the witness incorrectly identified a Green cab as Blue)

We want to calculate the probability that the cab was Blue given that the witness identified it as Blue, i.e., P(A|B).

According to Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / P(B)

To calculate P(B), we need to consider the probabilities of two mutually exclusive events:

The witness identified a Blue cab correctly (event A) and

The witness identified a Green cab incorrectly (event ¬A).

Therefore, P(B) = P(B|A) * P(A) + P(B|¬A) * P(¬A)

P(¬A) = 1 - P(A) = 1 - 0.15 = 0.85 (85% of cabs are Green)

Now, we can substitute the given values into Bayes' theorem:

P(A|B) = (P(B|A) * P(A)) / (P(B|A) * P(A) + P(B|¬A) * P(¬A))

= (0.80 * 0.15) / (0.80 * 0.15 + 0.20 * 0.85)

= 0.12 / (0.12 + 0.17)

= 0.12 / 0.29

≈ 0.4138

Therefore, the probability that the cab involved in the incident was Blue rather than Green, given that the witness identified it as Blue, is approximately 0.4138 or 41.38%.

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Answer: 32.6%

Step-by-step explanation:

percentage is whatever number you have x100 which would move the decimal point right 2 points and in this case would move the decimal from .326 to 32.6

Answer:b

Step-by-step explanation:

Answer:

The answer is 24/7

Answer:

3.428

Step-by-step explanation:

Answer: 8575/2

Step-by-step explanation:

\(A=\left(1+\dfrac{1}{2}\right)\cdot \left(1+\dfrac{1}{3}\right)\cdot\ldots\cdot \left(1+\dfrac{1}{2020}\right)=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot\ldots\cdot \dfrac{2021}{2020}=\dfrac{\dfrac{2021!}{2}}{2020!}=\\\\=\dfrac{2021}{2}=1010.5\)

The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website

The statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.

A critical risk to the success of your business plan is Overlooked competition.

The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.

There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment

A good marketing strategy is most likely to focus on the longer-term competitive plan.

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Answer:

y=10(3/4)^x

10 and 3/4

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

rise over run: rise=8 run=4 so it is m=8/4 or m=2

Answer: 706.5

Step-by-step explanation:

A= pi r squared

A= 3.14x15 squared

15 squared = 225

A= 3.14x225

Equation that represents the line is , x + y =1

General form of straight line:

                                               ax+by+c = 0

here,

             a is the coefficient of x,and it is a constant.

             b is the coefficient of y,and it is a constant.

            c is the constant term.

again,

            a and b can never be zero together,one of the value either a or b can be zero,while c can be zero.

If c will be zero,straight line will pass through origin (0,0).

If a=0 then,

            by+c =0

            by = -c

            y = -c/b,Represents a line parallel to X-axis.

If b=0 then,

          ax +c = 0

          ax =-c

           x = -c/a, Represents a line parallel to Y-axis.

Now we have to write an equation that represents the line,

so,

                x + y =1

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Answer: trapezius

Step-by-step explanation:

The given muscle shown in the image is the trapezius muscle. Option A is correct.

Soft tissues include muscles. Your muscles are made up of numerous elastic fibers.

The flat, triangular muscle of the shoulder girdle is known as the trapezius muscle (trapezius muscles, hood muscle). It is divided into three divisions, each of which has a different purpose, and is situated in the neck and upper back region.

Thus, the given muscle shown in the image is the trapezius muscle. Option A is correct.

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Answer:

ur m=4/3 as an improper fraction it's 1 and 1 over 3

Answer:x=16

Step-by-step explanation: All vertical angles are equal to each other. So you need to cancel numbers on each side out

The absolute minimum value is -18 at the point (7, 0), and the absolute maximum value is 35 at the point (7, 9) within the given triangular region

To find the absolute minimum and absolute maximum of the function f(x, y) = 10 - 4x + 7y on the closed triangular region with vertices (0, 0), (7, 0), and (7, 9), we need to evaluate the function at the critical points inside the region and at the boundary points.

Critical points:

To find the critical points, we need to find the points where the gradient of f(x, y) is equal to zero.

∇f(x, y) = (-4, 7)

Setting -4 = 0 and 7 = 0, we see that there are no critical points in the interior of the triangular region.

Boundary points:

We need to evaluate the function f(x, y) at the vertices of the triangular region.

(a) f(0, 0) = 10 - 4(0) + 7(0) = 10

(b) f(7, 0) = 10 - 4(7) + 7(0) = -18

(c) f(7, 9) = 10 - 4(7) + 7(9) = 35

Therefore, the absolute minimum value is -18 at the point (7, 0), and the absolute maximum value is 35 at the point (7, 9) within the given triangular region.

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Answer:

1 option is correct

Step-by-step explanation:

Angle AOB and DOC is vertically opposite angle

Answer:

24 of each.

Step-by-step explanation:

it's just lcm. find the lcm of 6 and 8. so: 12:16 then 24:24

Answer:

A pyramid

Step-by-step explanation:

The solution to the linear system is unique solution which is  x₁ = 1/6, x₂ = 3/2, and x₃ = 17/6.

The correct answer is option  A.

To solve the given system of linear equations using elementary row operations and back substitution, let's start by representing the augmented coefficient matrix:

[1  -4  5  |  23]

[2   1   1  |  10]

[-3  2  -3 |  -23]

We'll apply row operations to transform this matrix into echelon form:

1. Multiply Row 2 by -2 and add it to Row 1:

[1  -4   5   |  23]

[0   9   -9  |  -6]

[-3  2  -3  |  -23]

2. Multiply Row 3 by 3 and add it to Row 1:

[1  -4  5   |  23]

[0   9  -9  |  -6]

[0   -10 6  |  -68]

3. Multiply Row 2 by 10/9:

[1  -4  5    |  23]

[0   1   -1   |  -2/3]

[0   -10 6  |  -68]

4. Multiply Row 2 by 4 and add it to Row 1:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  -10 6  |  -68]

5. Multiply Row 2 by 10 and add it to Row 3:

[1  0   1   |  5/3]

[0  1   -1  |  -2/3]

[0  0   -4  |  -34/3]

Now, we have the augmented coefficient matrix in echelon form. Let's solve the system using back substitution:

From Row 3, we can deduce that -4x₃ = -34/3, which simplifies to x₃ = 34/12 = 17/6.

From Row 2, we can substitute the value of x₃ and find that x₂ - x₃ = -2/3, which becomes x₂ - (17/6) = -2/3. Simplifying, we get x₂ = 17/6 - 2/3 = 9/6 = 3/2.

From Row 1, we can substitute the values of x₂ and x₃ and find that x₁ + x₂ = 5/3, which becomes x₁ + 3/2 = 5/3. Simplifying, we get x₁ = 5/3 - 3/2 = 10/6 - 9/6 = 1/6.

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12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer:

Circle.

Step-by-step explanation:

The cross section's 2D-shape is created by the part that is not filled in. In this case, the shape created takes the form of a circular shape, ∴ circle is your answer.

~

The contrapositive of the theorem: "for any two real numbers, x and y, if x and y are both rational then x + y is also rational" is given by this:

If x + y is irrational then x is irrational or y is irrational.

If we have two statements p and q, such that p ⇒ q, then the contrapositive of this relation is q' ⇒ p', that is negative of q implies a negative of p.

Let our statements be,

p: x and y are both irrational

∴ p': x is irrational or y is irrational

q: x + y is irrational.

∴ q': x + y is irrational.

The given theorem is the relation, p ⇒ q.

We are asked to find the contrapositive of this theorem. The contrapositive of the relation is, q' ⇒ p'.

This relational statement is:

If x + y is irrational then x is irrational or y is irrational.

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The other possibility is that the new battery will last longer on average than the known average battery life of the previous model. A one-sample t-test for a population mean is an appropriate test for the researchers' hypothesis. So, option B. is the correct choice.

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