Compare 4/5, 8/10, and 12/15 using ratios

Answer:

The expected value for an event with outcomes:

{x₁, x₂, ..., xₙ}

Each one with probability:

{p₁, p₂, ..., pₙ}

Is just:

Ev = x₁*p₁ + ... + xₙ*pₙ

here we have two outcomes:

x₁ = the object worths $25

x₂ = the object is worth $4.

Each one with probability p₁ and p₂ respectively, such that:

p₁ + p₂ = 1

Then the expected value is:

Ev = p₁*($25) + p₂*($4)

Now we want to know how should be the probabilities, such that buying the object for $16 is whort.

Well, the purchase will be whort if the expected value is larger than $16.

This is equivalent to:

p₁*($25) + p₂*($4) - $16 > $0

Knowing that:

p₁ + p₂ = 1

we can rewrite:

p₂ = 1 - p₁

replacing that in the above inequality we get:

p₁*($25) + ( 1 - p₁)*($4) - $16 > $0

Now we can solve this for p₁

p₁*($25 - $4) + $4 - $16 > $0

p₁*$21 - $12 > $0

p₁*$21 > $12

p₁ > $12/$21 = 0.571

The probability of the object being authentic should be larger than  0.571 to take the gamble.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

The probability of getting exactly three robberies in a day is 0.1607.

The Poisson distribution is a discrete probability distribution used in probability theory and statistics to express the likelihood that a given number of events will occur within a specified time or space interval if they occur at a known constant mean rate and regardless of the interval since the last event.

The Poisson distribution is a discrete distribution that calculates the likelihood that a certain number of events will occur within a certain amount of time.

In the poison distribution a discrete random variable X has the following probability mass function,

\($P(X=x)=\frac{e^{-\lambda} \cdot \lambda^x}{x !}$\), where \($\lambda$\) is the mean of the distribution and \($x=0,1,2,3 \ldots \ldots$\)

Given that \($\lambda=1.8$\)

The required probability, \($P(X=3)=\frac{e^{-1.8} .(1.8)^3}{3 !}=0.1607$\)

Therefore, the probability of getting exactly three robberies in a day is = 0.1607.

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Answer:

As per the given information there are 4 different price intervals.

Let x be the age and y be the admission price, then we have following equations;

Answer:

2(1)+3(1)Is 5    2(2)+ 3(0) is 4

Step-by-step explanation:

Please mark brainlest

Answer

14 : 1

Step-by-step explanation:

28 to 2 = 28 : 2,

so simplify that and it's 14 : 1

Answer:

2000

Step-by-step explanation:

We know that 1 kilogram (kg) = 1000 grams (g)

Multiplying both sides by 2, we have

2 kg = 2000 g

Answer:

d is the answer

Step-by-step explanation:

i took the test

Answer:

Step-by-step explanation:

f(x) = -x^2+6x-2

-x^2+6x-2  here we use work sheets or log books

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies a=\sqrt{c^2 - o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{18}\\ a=\stackrel{adjacent}{x}\\ o=\stackrel{opposite}{12} \end{cases} \\\\\\ x=\sqrt{ 18^2 - 12^2}\implies x=\sqrt{ 324 - 144 } \implies x=\sqrt{ 180 }\implies x\approx 13.4\)

The missing side of a right-angled triangle, assuming it to be the hypotenuse with other sides as 12 and 18, can be calculated using the Pythagorean theorem. The square root of the sum of 12^2 and 18^2 gives the length of the hypotenuse, which is approximately 21.6 when rounded to the nearest tenth.

This question relates to the Pythagorean theorem which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² + b² = c².

Assuming that the missing side in your question (x) is the hypotenuse and the other two sides are 12 and 18, you can calculate it using the aforementioned theorem. Therefore, you find x by calculating the square root of (12² + 18²), or √(144 + 324) which equals to √468. This value, rounded to the nearest tenth, is 21.6.

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Answer:

(X<-25) or -oo, -25

Step-by-step explanation:

because max is -25

A statement 'A correlation compares that rate at which a characteristic or property appears in two different populations.' is True

We know that a correlation is nothing but a statistical process for establishing the relationships between two variables.

It indicates that as one variable changes in value, the other variable tends to change in a particular direction.

A correlation measures the extent to which two variables are linearly related.

It gives the strength of the linear relationship between two variables.

Therefore, the statement 'A correlation compares that rate at which a characteristic or property appears in two different populations.' is True.

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The company spends making tablets each year, you can multiply the number of tablets by the cost per tablet so the company spends about $500 million making tablets each year.

Its origins lie in the Latin word moneta, which was given to the Roman goddess Juno, at whose temple or close by, or both, the Romans first started minting coins approximately 300 BCE.

We may multiply the quantity of tablets produced by the cost of producing each tablet to see how much money the company spends annually making tablets:

Total cost = Production of tablets x Price per tablet

Number of tablets produced =\(2.5 × 10^7\)

Cost per tablet = $20

Therefore, the total cost = \(2.5 × 10^7 × $20 = $5 × 10^8\)

As a result, the corporation spends over $500 million annually producing tablets.

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Answer:

what are the advantages of standard contract

Answer:

31

Step-by-step explanation:

no promblem

Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.

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

a. Find the percentage change in quantity demanded of good Y:

Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100

Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%

b. Find the percentage change in the price of good X:

Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100

Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%

Now, we can calculate the cross-price elasticity of demand:

Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X

Cross-Price Elasticity of Demand = 25% / 25% = 1

b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:

If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.

Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.

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Answer:

Step-by-step explanation:

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer:

120 + 3.5x≤ 190

Step-by-step explanation:

Add up all the costs

80+ 10+10+20 + 3.50x where x is the number of cupcakes

Combine like terms

120 + 3.5x

This must be less than or equal to 190

120 + 3.5x≤ 190

Answer:

4(w+5) = 4w+20

Step-by-step explanation:

use distributive property and you get your answer :)

4*w = 4w

4*5=20

I hope this helps :))

Answer:

The formula for circumference of a circle is 2πr

Mark me brainliest teehee :)

Answer:

See attachment for graph

Step-by-step explanation:

Given

\(2 cans = 10ft\ by\ 12ft\)

Required

Graph the relationship between both parameters

First, calculate the area;

\(Area = 10ft * 12ft\)

\(Area = 120ft^2\)

This implies that: (2, 120) i.e. 2 cans for 120ft^2.

So we have:

(0,0) and (2,120)

(0,0) implies that: 0 cans for 0 square feet

Calculate the slope:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{120 - 0}{2-0}\)

\(m = \frac{120 }{2}\)

\(m = 60\)

The equation is:

\(y = m(x - x_1) + y_1\)

So, we have:

\(y = 60 * (x - 0) + 0\)

\(y = 60 * (x )\)

\(y = 60 x\)

See attachment for graph

Answer:

-24

Step-by-step explanation:

q = -17

q - 7 = -17 - 7

= -24

q - 7 = -24

Answer:

k =  z/4 + 3

Step-by-step explanation:

8k-2z = 24

8k = 24 + 2z

k = (24 + 2z)/8

k = (24 + 2z) / (4*2)

k = (12 + z) / 4

k = 3 + z/4

Answer: 4 pages

Step-by-step explanation:

To solve this problem, we need to use the formula:

Rate = Output/Time

Let's use "p" to represent the number of pages Ethan can type and "t" to represent the time he has before the meeting starts.

Rate = 2 pages/(1/8 hour) = 16 pages/hour

Since the meeting starts 3/4 hour later than the scheduled time, Ethan has t = 1 - 3/4 = 1/4 hour to type pages before the meeting starts.

Output = Rate * Timep = (16 pages/hour) * (1/4 hour) = 4 pages

Therefore, Ethan can type 4 pages before the meeting starts.

Answer: 4 pages

The rational number that lies exactly halfway between a/b and c/d on a number line is x = (ad + bc)/2bd or 1/2(a/b + c/d).

To calculate the mid-value of two numbers x and y, find the average of these two numbers. I.e., (x + y)/2

Thus, the average of these two numbers is the mid-value between them.

It is given that,

a/b and c/d are the two rational numbers on a number line.

Consider the required rational number that lies exactly halfway between a/b and c/d as 'x'.

Then, the mid-value of these two rational numbers is

(a/b + c/d)/2

⇒ (ad + bc)/2bd  ...(i)

To know that the obtained rational number is exactly halfway between a/b and c/d, consider the distance from a/b to x and c/d to x.

So, the distance from a/b to x is - "x - a/b" (x > a/b) and

the distance from x to c/d is - "c/d - x"

From the given condition, the above-obtained distances are equal

⇒ x - a/b = c/d - x

⇒ x + x = a/b + c/d

⇒ 2x = (ad + bc)/bd

⇒ x = (ad + bc)/2bd ...(ii)

From (i) and (ii), it is concluded that the required rational number is

x = (ad + bc)/2bd

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: CHALLENGE: Let a/b and c/d be two distinct rational numbers. Find the rational number that lies exactly halfway between a/b and c/d on a number line.

Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

Answer:

E, F

Step-by-step explanation:

diagram is showing complete shading of 3 shapes and 4 out of 10 of the last shape

3 4/10 as a decimal is 3.4

Answer:

16.25,   ill help but it's hard and confusing

Answer:

20 in

Step-by-step explanation:

The formula for the volume of a triangular pyramid is V=1/3 x B x H, in which B is the area of the base and H is the height. You're given the volume and area of the base so you can just plug that into the formula. You will get 120 = 1/3 x 18 x H. You can multiply the 1/3 and 18 so you will get 120 = 6H. In this case, you are solving for H so you need to isolate the variable. You can do this by dividing both sides by 6. You will end up eith 20 = H.