Can someone help me???? Please just answers

Answer: The girls median is 50, and their mean is 46

The boys median is 33, while their mean is 34.

The mean is the average, and the median is the middle when they are sorted by least to greatest.

Step-by-step explanation:

To find the missing value in the equivalent ratio 12:18 = 16:___, you can use cross-multiplication.

First, you multiply the first term of the first ratio by the second term of the second ratio, and then you set it equal to the product of the second term of the first ratio and the missing value in the second ratio.

So, you get:

12 x ___ = 18 x 16

To solve for the missing value, you can divide both sides of the equation by 12:

___ = (18 x 16)/12

Simplifying the right-hand side, you get:

___ = 24

Therefore, the missing value in the equivalent ratio 12:18 = 16:___ is 24

Answer:24

Step-by-step explanation:

12:18

= 6:9

= 2:3

=16:24

First, you simplify it as much as you can and then scale it up to the number necessary.

For an electric network with three switches ( two are in series and one in parallel), the probability that the system is working is equal to the 0.644 or 64.4 %.

We have, an electric network has 3 switches aligned as present in above figure. Switches present in upper side in network or in series are switch 1 and switch 2 and switch present in parallel is switch 3. The probability that one out of three is turn on = 60% = 0.60

We have to determine probability that the system is working. System is working when all switches are on. Letvus consider the events,

A = Switch 1 is turn on

B = Switch 2 is turn on

C= Switch 3 is turn on

Now, probability that switch 1 is turn on P( A) = 0.60

Probability that switch 2 is turn on P( B)

= 0.60

Probability that switch 3 is turn on P(C)

= 0.60

We know if two events A and B are independent then, we have P(A∩B) = P(A) × P(B)

Here, Switch 1 and switch 2 are independent so, P( A∩B) =0.60 × 0.60

= 0.36

Probability that the system is working =

[(switch 3 is turn on ) or (switch 1 is turn on and switch 2 is turn on)]

= P( C∪( A∩B))

= P(C) + P(A∩B ) - P ( C∩ (A∩B))

= 0.60 + 0.36 - P(C) × P(A∩B)

= 0.96 - 0.6 × 0.36

= 0.96 - 0.216

= 0.644

Hence, required probability is 0.644.

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Complete question:

the above figure completes the question.

an electric network has 3 switches aligned as shown in figure 1 and the probability that one of them is turned on is 60%, independently of the status of the other switches. what is the probability that the system is working? 8 points per problems

Answer:

4min

Step-by-step explanation:

half full = 4min. disregard the doubles every min.

Answer:

7 minutes

Step-by-step explanation:

Answer:

5050550

Step-by-step explanation:

Answer:

\(x^2 - 8x + 7 = 0\)

Step-by-step explanation:

Let the boy's present age be x.

Let his dad's present name be y.

Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:

(y - 1) = 8(x - 1) ______ (1)

Now, his dad's age is the square of his age:

y = \(x^2\) _________(2)

From (1):

y = 8x - 8 + 1

y = 8x -7

Put this in (2):

\(8x - 7 = x^2\\\\=> x^2 - 8x + 7 = 0\)

This problem has been represented in the form of a quadratic equation.

Answer:

Step-by-step explanation:

Here, we want to graph the given equations

1. y = 2x - 3

The general form of the equation of a straight line is;

y = mx + b

m is the slope and b is the y-intercept

To plot the line, we need the x intercept and the y-intercept

At the x-intercept, the value of y is zero

at the y-intercept . the value of x is zero

From the equation, we have the y-intercept as -3

To get the x-intercept, set y = 0

0 = 2x - 3

2x = 3

x = 3/2

x = 1.5

so to graph the line, we have to join the points ;

(0,-3) and (1.5,0)

b) y = -3x + 2

The y-intercept is 2

To get the x intercept, set y = 0

0 = -3x + 2

3x = 2

x = 2/3

so, we have to join the points (2/3,0) and (0,2)

We have the lines plotted as an attachment

Answer:

x < -8

Step-by-step explanation:

What you have so far is correct

The last line  x < -8

Answer:

x < -8

Step-by-step explanation:

Miles will be remaining after 57 minutes of driving 58.7 miles.

What is Linear Function?

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Write the linear function as:

remaining distance = -0.85(drive time) + (intercept)

After 39 minutes of driving, Martina has 74 miles left to go.

That gives you the following:

74 = -0.85(39) + intercept

intercept = 107.15

Equation is rd = -0.85t + 107.15

remaining after 15 minutes of driving:

rd(57) = -0.85*57+107.15

rd(57) = 58.7 miles

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Answer:

Exact form: 163/18

Decimal form: 9.05, 5 repeating

Mixed Number form: 9 1/18

Step-by-step explanation:

I used a calculator pls let me know if im incorrect

If derivative of \(f(x)=ln(x+4+e^{(-3x)})\), then f '(0) = -2/5.

What is derivative?

In calculus, the derivative of a function is a measure of how the function changes as its input changes. More specifically, the derivative of a function at a certain point is the instantaneous rate of change of the function at that point.

To find f'(0), we first need to find the derivative of f(x) with respect to x. Using the chain rule, we get:

\(f'(x) = 1 / (x+4+e^{(-3x)}) * (1 - 3e^{(-3x)})\)

Now we can find f'(0) by substituting the value x=0:

\(f'(0) = 1 / (0+4+e^{(-3(0))}) * (1 - 3e^{(-3(0))})\)

f'(0) = 1 / (4+1) * (1 - 3)

f'(0) = -2/5

Therefore, f'(0) = -2/5.

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Solving for the probability using the z-table, the proportion of iPhone owners who use their iPhone between 4 and 7 hours in a day is 0.787.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value (4 and 7)

μ = mean = 5.4

σ = standard deviation = 1.2

z-score = (4 - 5.4) / 1.2     where x = 4

z-score = -1.4 / 1.2

z-score = -7/6 or -1.1667

z-score = (7 - 5.4) / 1.2     where x = 7

z-score = 1.6 / 1.2

z-score = 4/3 or 1.3333

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = -7/6 or -1.1667     probability = 0.12197

z-score = 4/3 or 1.3333     probability = 0.90853

To determine the proportion of iPhone owners who use their iPhone between 4 and 7 hours in a day is the difference between the probabilities of the two values.

proportion = 0.90853 - 0.12197

proportion = 0.787

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The area of the square is 144 \(cm^{2}\).

Let x be the side of the square. Then the length of the triangle is (x+4). Perimeter is the length of all sides of a geometric figure combined. For an equilateral triangle, it's equal to thrice the length of one side. For a square, it's four times the length of one side. The Perimeter of the Triangle is 3(x+4) & the Perimeter of the square is 4x.

We know, both these perimeters are equal. Hence,

4x = 3(x+4)

To further simplify the above equation.

4x = 3x + 12

x = 12

Hence, the length of one side of the square is 12 cm. The area of the square can be calculated as follows:

Area = \((side)^{2}\)

Area = 12 * 12

Area = 144 \(cm^{2}\)

Hence, the Area of the Square is 144 \(cm^{2}\)

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Answer:

15.43 km^2

Step-by-step explanation:

If base of triangle is 8 km, then height will be the line from vertex which is perpendicular with base

sin(40) = height/6

0.64278761 = height/6

height = 0.64278761 x 6 = 3.85672566

then area = 1/2 (3.85672566 x 8) = 15.42690264 or 15.43

Answer:

-4.2c+4.8d

Step-by-step explanation:

(−7c+8d)0.6

Distribute

-7c*.6 + 8d * .6

-4.2c+4.8d

Answer:

-4.2c + 4.8d

Step-by-step explanation:

We would like to distribute the 0.6 in the expression (-7c + 8d) * 0.6.

Remember that when distributing, we multiply the "outside number" (0.6 in this case) by each of the "inside numbers" (-7c and 8d) and then add those products.

So, the first product will be: 0.6 * (-7c) = -4.2c. The second product will be: 0.6 * 8d = 4.8d. Add these together: -4.2c + 4.8d.

The answer is thus -4.2c + 4.8d.

~ an aesthetics lover

Answer:

  x-axis from -20 to 5; y-axis from -80 to 80

Step-by-step explanation:

The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...

  x: -20 to 5

  y: -80 to 80 . . . . . choice A

x-axis from -20 to 5; y-axis from -80 to 80

Step-by-step explanation:

The attached graph shows my choice for a viewing window. The closest approximation among your answer choices is ...

 x: -20 to 5

 y: -80 to 80 . . . . . choice A

The coefficient of variation (CV) is a measure of relative variability and is calculated by dividing the standard deviation by the mean, and then multiplying by 100 to express it as a percentage.

In this case, the mean weight is 340 grams, and the standard deviation is 5.2 grams.

CV = (Standard Deviation / Mean) * 100

CV = (5.2 / 340) * 100

CV ≈ 1.53%

Therefore, the correct answer is option B: 1.53%.

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The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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The distance that Benjamin travels in 100 seconds is 1400 meters.

Given that :

Benjamin is riding a unicycle.

Circumference of the tire = 2.8 meters

The number of times the tire revolves in 1 second = 5 times.

Distance travelled when revolved one time is :

Distance = 2.8 meters

Distance travelled in 1 second = 5 × 2.8 meters

                                                  = 14 meters

Distance travelled in 100 seconds is :

D = 14 × 100 = 1400 meters

Hence the distance is 1400 meters.

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Therefore , the solution of the given problem of circle comes out to be

n =4 for the length of chord.

Each spot that is a certain distance from that other point in the plane forms a circle (center). As a result, it is a curve composed of vertices that are isolated from one another in the plane by a specific distance. Furthermore, it is axis of rotation symmetric about the center at all angles. The circle's enclosed, two-dimensional plane has every pair of endpoints uniformly separated from the "center." Draw a line thru the circle to create a circular symmetry line. Additionally, at every angle, it rotates equally about the center.

Here,

Given :

2 cords AB & CD can intersect at point P,

according to the following theorem:

|AP| |PB| = |CP| |PD|

We obtain

=>(n-2) x 16 = 8x (n+8)

using the theory of intersection between two cords.

Use the following formula:

=>16n+32 = 8n +64

=>8n -32 = 0

=>8n=32.

8 divided by both sides.

n = 32/8

n = 4

Consequently, n has a value of 4.

Therefore , the solution of the given problem of circle comes out to be

n =4 for the length of chord.

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The equilibrium distribution for the given Markov chain is [1/16, 3/16, 4/16, 8/16]. Starting from state X0 = 4, the Markov chain does have a limiting distribution.

(a) To find the equilibrium distribution, we need to solve the equation πP = π, where π is the equilibrium distribution and P is the transition matrix. Rewriting the equation for this specific Markov chain, we have the system of equations:

π₁ = (1/2)π₁ + (1/3)π₂ + (1/4)π₃ + (1/5)π₄

π₂ = (1/2)π₁ + (2/3)π₂ + (3/4)π₃ + (1/5)π₄

π₃ = (1/5)π₁ + (1/5)π₂ + (1/5)π₃ + (2/5)π₄

π₄ = (1/5)π₁ + (1/5)π₂ + (1/5)π₃ + (2/5)π₄

Solving this system of equations, we find the equilibrium distribution to be [1/16, 3/16, 4/16, 8/16].

(b) To determine if the Markov chain has a limiting distribution starting from state X0 = 4, we need to check if the chain is irreducible, positive recurrent, and aperiodic. In this case, the chain is irreducible since every state is reachable from every other state. The chain is positive recurrent because the expected return time to any state is finite. Finally, the chain is aperiodic because there are no cycles in the transition probabilities. Therefore, the Markov chain has a limiting distribution starting from state X0 = 4.

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The income elasticity of demand is positive, implying that chocolate is a normal good = 0.037

The demand function, Q = 54−5P + 4PA + 0.1Y.

Where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple, and Y is income.

(i) The own-price elasticity of demand for chocolate, we first need to find the expression for it.

The own-price elasticity of demand can be expressed as:

Own-price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)Or,E

P = (ΔQ / Q) / (ΔP / P)E P = dQ / dP * P / Q

Let's calculate the own-price elasticity of demand:

EP= dQ / dP * P / Q= (-5) / (54 - 5P + 4PA + 0.1Y) * 3 / 30

= -0.1667

So, the own-price elasticity of demand for chocolate is -0.1667.

(ii) The cross-price elasticity of demand, we must first determine the expression for it.

The cross-price elasticity of demand can be expressed as:

Cross-price elasticity of demand

= (Percentage change in quantity demanded of chocolate) / (Percentage change in price of apples) Or, E

PA = (ΔQ / Q) / (ΔPA / PA)E PA = dQ / dPA * PA / Q

Let's calculate the cross-price elasticity of demand:

EP = dQ / dPA * PA / Q= (4) / (54 - 5P + 4PA + 0.1Y) * 2 / 30= 0.0296

So, the cross-price elasticity of demand is 0.0296.

(iii) The income elasticity of demand can be expressed as:

Income elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in income)Or,E

Y = (ΔQ / Q) / (ΔY / Y)E Y = dQ / dY * Y / Q

Let's calculate the income elasticity of demand: EY = dQ / dY * Y / Q= (0.1) / (54 - 5P + 4PA + 0.1Y) * 100 / 30

= 0.037

The own-price elasticity of demand is negative, meaning that the quantity demanded of chocolate decreases when the price of chocolate increases.

The cross-price elasticity of demand is positive, indicating that chocolate and apples are substitute goods.

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Yes, line is used to define an angle.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

When two straight lines or rays intersect at a single endpoint, an angle is created.

The vertex of an angle is the location where two points come together.

The common point is referred to as the vertex.

The length of the angle formed when two rays or arms intersect at a common vertex is known as an angle measure in geometry.

A straight line is a straight angle.

Therefore, two lines are used to define an angle.

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The algebraic expression 2x + 2(x - y) -3x + 3y after simplification is equal to x + y

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms.

However, in this problem, we have to note that we are comparing two expressions to see if they are equal to one another.

To do so, we have to simplify the expression on the left hand side and compare it to the right hand and see if they are equal.

2x + 2(x - y) - 3x + 3y

Using distributive property

2x + 2x - 2y - 3x + 3y

collect like terms

2x + 2x - 3x - 2y + 3y

simplify

4x - 3x - 2y + 3y

x + y

The simplified expression on the left hand side is equal to x + y

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For the markov chain will end up in state 2, the probability that when the process moves into state 2, it does so from state 1 will be calculated as:

Let,

\(\tau = \min\{n: X_{n+1}= 2\}\)

Now,

\(p_{i,j} = P(X_{\tau}=i|X_{0}=j)\)

We can observe that,

\(p_{0,0} = P(X_{\tau}=0|X_{0}=0) = \sum_{k=0}^{2}{P(X_{\tau}=0,X_{1}=k|X_{0}=0)} \)

\(=\sum_{k=0}^{2}{P(X_{1}=k|X_{0}=0)P(X_{\tau}=0|X_{1}=k,X_{0}=0)}\)

A Markov chain or Markov process is a stochastic model that depicts a series of potential events where each event's likelihood is solely determined by the state it reached in the previous event. This can be thought of colloquially as, "What happens next depends only on the situation right now. Discrete-time Markov chains (DTMC) are produced by a countably infinite sequence where the chain changes state at distinct time steps. A continuous-time Markov chain (CTMC) is a continuous-time process. It bears the name Andrey Markov after the Russian mathematician. As statistical representations of processes in the real world, Markov chains have numerous uses.

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