1. which of the following is an example of a dependent event? (1 point) flipping two coins rolling a number cube and spinning a spinner choosing a card from a deck, replacing it, then choosing another card choosing a cookie at random, eating it, and then choosing another at random

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.

What is problem-solving?

Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.

Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.

Below are the steps in problem-solving:

Step 1: Define the Problem

Step 2: Identify the Root Cause of the Problem

Step 3: Develop Alternative Solutions

Step 4: Evaluate and Choose Solutions

Step 5: Implement the Chosen Solution

Step 6: Monitor Progress and Follow-up on the Solution.

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The correct option is the first one, any integer less than -3

Let's define our integer as n.

We want to find the possible values of n such that:

n + 3 < 0

Let's solve that inequality for the variable n, we can do that by subtracting 3 in both sides, then we will get:

n < -3

So any integer less than -3 works fine, the correct option is F.

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Answer: The function rule C = 9n + 45 represents the cost of the shirts that the Math Club is selling. The variable C represents the total cost of the order and the variable n represents the number of shirts.

The number 9 in the function represents the price per shirt, this is because as the number of shirts increases by 1, the total cost increases by 9. This tells us that the cost of each shirt is $9.

The number 45 in the function represents the initial set-up fee charged to design the shirts. This is because even if no shirts are ordered, there is still a cost of $45. This represents a fixed cost that the Math Club must pay to have the shirts designed.

Step-by-step explanation:

Answer:√29.5= 5.43139

Step-by-step explanation:

Answer:

If 7.40 is the price of a pizza, we have to make sure that he spends less than $40 on large pizzas. if Diego buy 5 pizzas he would spend $37 and would not have enough to afford another large pizza, meaning that he can buy 5 large pizzas

Answer:

elaborate

Step-by-step explanation:

Answer: 127

Step-by-step explanation:

<TWV is the sum of the other 2 angles.  Create your equation

<UWV + <TWU = < TWV

n + 45 + 8n + 127 = -10n +77               >Combine like terms

9n + 172 = -10n +77                             > add 10n to both sides

19n +172 = 77                                        >Subtract 172 from both sides

19n = -95                                              >Divide by 19 to both sides

n= -5                                                     >plug back in to find angle

<TWV = -10n +77

<TWV =  -10(-5) +77

<TWV = 127

Answer:

11/12 is the fraction that is closer to 1.

Answer:

11/12

Step-by-step explanation:

11/12 is only one unit away from becoming whole, (1), while the other options are 3, 2, and 5 units away from becoming whole.

f(x)>=-7

Functions:

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.

If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x

Given :

f(x) = -3|x+1|-4

using the table of values for g(x) = |x|

Solution :

f(x) = -3|x+1|-4

f(x) = -3|g(x)+1|-4

f(x) = -3||x|+1|-4

which means |x| is always positive |x|>0

f(x) = -3||x|+1|-4

f(x) = -3x-3-4

f(x) = -3x-7

f(x)>=-7

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Answer:

correct answer is : To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The solid circle at - 3 indicates that x can be equal to - 3

The arrow pointing left indicates the values of x are less than - 3

Then

x ≤ - 3 → B

If he works for 50 hours, then he would win $1,875 for 50 hours of work. The difference quotient is equal to \(2^x\).

Function is a type of relation, or rule, that maps one input to specific single output.

We have been given a function as; f (x) = 49x² – 200

Where f(x) is the amount of money that he wins for decorating x rooms.

g(x) = \((1/7)^x\)

Here, the number of rooms that he decorates in x hours.

So the revenue as a function of time can be given by evaluating f(x) in g(x).

A) we get;

f( g(x)) = 49\((1/7)^x\)² – 200 = x² - 200

r(x) =  x² - 200

If he works for 50 hours, we need to replace x by 50 in the revenue equation:

r(50) = 50^2 - 200 = 1,875

thus he would win $1,875 for 50 hours of work.

The difference quotient is equal to \(2^x\).

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Answer:

Part A: r(x)=x^2-200, the designer will make $2300

Part B:If the designer works 50 hours, they will earn $2300

Part C: The difference of quotient is r(x)= 2^x

Step-by-step explanation:

The above answer is wrong, the answer is for a similar equation!!

I would suggest using QuickMath to break down equations step by step, hope this helps. :)

The quadratic inequality that will represent the parabola will be

y ≤ 2\(x^{2}\) - 8x + 3

The given graph is a parabola where the mouth is open upwards. So from here we can clearly say that the coefficient of \(x^{2}\) will be positive.

The vertex of the parabola  is given as (2 , -5) in the graph.

So let us put value of x in the inequations given to us.

first option is

y ≤ 2\(x^{2}\) - 8x + 3

y ≤ 2*\(2^{2}\) - 8*2 + 3

y ≤ 8 - 16 + 3

y ≤ -5

Therefore the quadratic inequality that will represent the parabola will be

y ≤ 2\(x^{2}\) - 8x + 3

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The present value of the annuity is $4,813.52.

To calculate the present value of the annuity, we can use the formula for the present value of an increasing annuity:

PV = C * (1 - (1 + r)^(-n)) / (r - g)

Where:

PV = Present Value

C = Payment amount at time t=1

r = Interest rate

n = Number of payments

g = Growth rate of payments

In this case:

C = $300

r = 8% or 0.08

n = Number of payments = Last payment amount - First payment amount / Growth rate + 1 = ($1000 - $300) / $50 + 1 = 14

g = Growth rate of payments = $50

Plugging in these values into the formula, we get:

PV = $300 * (1 - (1 + 0.08)^(-14)) / (0.08 - 0.05) = $4,813.52

Therefore, the present value of this annuity is $4,813.52. This means that if we were to invest $4,813.52 today at an interest rate of 8%, it would grow to match the future cash flows of the annuity.

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Answer:

A= (3*X - 6\(\sqrt{x}\))/(X-4)

A=(3*2 - 6\(\sqrt{2}\))/(2-4)= -3+3\(\sqrt{2}\)

A=(3*4 - 6\(\sqrt{4}\))/(4-4) Unknown

Step-by-step explanation:

Answer:

x^{2} +2x+y^{2}+2y= 18

Step-by-step explanation:

equation of circle is:

\(x^{2}+y^{2}=r^{2}\)

using distance formula and substituting value,

\((3-(-1))^{2} +(1-(-1))^{2}=r^{2}\)

solving,

r=\(2\sqrt{5}\)

for equation of circle,

\((x-(-1))^{2} +(y-(-1))^{2} =20\)

on solving,

\(x^{2} +2x+1+y^{2}+2y+1=20\)

on solving,

\(x^{2} +2x+y^{2}+2y= 18\)

Answer:

In GeoGebra, m∠EAD = 120°. Both m∠ADC and m∠AEC are 90° because the tangent to a circle is perpendicular to the radius drawn from the point where the tangent touches the circle.

Step-by-step explanation:

plato :>

Answer:

1,2,4,8,16,32,64

Step-by-step explanation:

so you have a table and you have x values and you don't have the y values , they have given an equation for the y values with the power of 2 being x so all you have to do is put the y equation as normal and in the place of x which is the power of 2 you plug the x values and whatever answer you get just put it in the corresponding y table area

The correct answer for the first question is D. The data are discrete because the data can take on any value in an interval.

Quiz scores from a college level statistics course are analyzed to determine student progress. This is not a voluntary response sample because the students taking the quiz are required to participate, and their scores are collected for the purpose of analyzing their progress.

For the second question, the data described, which is the number of donations a charity receives each month, is discrete. Discrete data can only take on specific values and cannot be divided into smaller, meaningful intervals. In this case, the number of donations can only be whole numbers, such as 0, 1, 2, and so on. It cannot take on any value in an interval or be represented by fractions or decimals. Therefore, the data is discrete.

It is important to distinguish between discrete and continuous data when analyzing and interpreting data, as different statistical methods and techniques are used for each type. Discrete data is usually counted or measured in whole numbers, while continuous data can take on any value within a given range or interval.

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Answer: -7/11

Step-by-step explanation:

Answer:

gcf, hcf, gcd (5; 7) = 1: greatest (highest) common factor (divisor), calculated. Coprime numbers (relatively prime). Numbers have no common prime factors.

Answer:

The HCF of 5 and 7 is 1 and the LCM of 5 and 7 is 35.

Step-by-step explanation:

pls give brainliest :)

Answer:

175

Step-by-step explanation:

To find a proportion, you need to put both parts over the total.  You would put the part of silver (14) over the total (80) and the part you are trying to find (X) over the total number of students (1,000). Then you cross multiply 14 x 1,000 and divide by 80 giving you 175 silver cars.

No, there is no bijection from the set of even integers (A) to the set of odd integers (B).

To determine if there is a bijection between two sets, we need to show that there exists both an injective (one-to-one) function and a surjective (onto) function between the sets.

In this case, the set of even integers (A) and the set of odd integers (B) cannot have a bijection because the two sets have different cardinalities. The set of even integers includes 0, 2, -2, 4, -4, and so on, while the set of odd integers includes 1, -1, 3, -3, 5, and so on. Since there are more even integers than odd integers, it is not possible to establish a one-to-one correspondence between the two sets.

Additionally, it is important to note that a bijection requires that each element in one set maps to a unique element in the other set, and vice versa. In this case, since there are more elements in the set of even integers than in the set of odd integers, there will always be even integers left without a corresponding odd integer, making it impossible to create a bijection.

There is no bijection from the set of even integers to the set of odd integers. The difference in the cardinalities of the two sets prevents the establishment of a one-to-one correspondence between the elements.

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The revenue from hedging minus the revenue from not hedging receivables can be calculated by considering the net exposure to the Malaysian ringgit, the forward rate, and the probabilities of different exchange rate outcomes.

To calculate the revenue from hedging minus the revenue from not hedging receivables, we need to compare the outcomes of hedging versus not hedging in terms of the exchange rate.

If Money Corp. hedges its receivables, it will lock in the forward rate of $.23 for the net exposure of MYR1,500,000. Therefore, the revenue from hedging will be:

Revenue from Hedging = Net Exposure * Forward Rate = MYR1,500,000 * $.23

To calculate the revenue from not hedging, we consider the probabilities associated with each exchange rate outcome. The expected revenue from not hedging is calculated by multiplying each possible value by its corresponding probability and summing the results:

Expected Revenue from Not Hedging = (Revenue at $.20 * Probability of $.20) + (Revenue at $.25 * Probability of $.25)

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Answer: R0, 90°, (x, y) → (–y, x)

Step-by-step explanation:

If we consider Y(0,-2) mapping onto Y(2,0), we know that this was a rotation 90 degrees about the origin.