If f(x) = -7x^4 + 3x^3 + x - 5, and g(x) is a polynomial such that the degree of f(x) + g(x) is 1, then what is the degree of g(x)?

Answer:

Step-by-step explanation:

128.110236 inches i have torets so when typeing this i might have mexdsdf uip

Only statement left is "Events A and B are mutually exclusive," which is also not true since P(A∩B) = 0.1, which is greater than 0.

Thus, none of the statements is true.

None of the statements is true.

If events A and B were independent, then P(A∩B) = P(A)P(B) = 0.4, which is not equal to 0.1.

If events A and B were mutually exclusive, then P(A∩B) = 0, which is not equal to 0.1.

Therefore, neither of the first two statements is true.

Since P(A∪B) = P(A) + P(B) - P(A∩B), we have P(A∩B) = 0.4, which is not equal to 0.1. Therefore, the third statement is not true.

The only statement left is "Events A and B are mutually exclusive," which is also not true since P(A∩B) = 0.1, which is greater than 0.

Thus, none of the statements is true.

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Answer:

7power 6 is the true answer please trust me.

She will have run a total of 2.25 racers in 27 racers

From the question, we have the following parameters that can be used in our solution:

Total number of racers = 27 racers

Number of racers in a run = 12 racers

From the above parameter, we can calculate the total number of racers using the following equation

The total number of racers is calculated as

Total number of racers in the run = Total number of racers/Number of racers in a run

Substitute the known values in the above equation

So, we have the following equation

Total number of racers in the run = 27/12

Evaluate the quotient

Total number of racers in the run = 2.25

Hence, the total number of racers in the run is 2.25 racers

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(a) The number of solutions is 455

(b) The number of solutions if each variable xi is an integer greater than or equal to one is 165

(a) This problem can be solved using the stars and bars technique. We need to distribute 12 identical objects (stars) among 4 distinct boxes (corresponding to the variables) such that each box can have zero or more stars. The number of solutions is therefore (12+4-1) choose (4-1) = 455.

(b) We can convert this problem into the previous one by subtracting 1 from each xi, so that we are now looking for non-negative integers. We need to distribute 8 identical objects (12-4) among 4 distinct boxes (corresponding to the variables) such that each box can have zero or more objects. The number of solutions is therefore (8+4-1) choose (4-1) = 165.

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Your question is incomplete but probably the full question is:

How many solutions are there to the equation x1+x2+x3+x4=12 if:

(a) Each variable xi is an integer greater than or equal to zero?

(b) Each variable xi is an integer greater than or equal to one?

Answer: 15/b (fraction)

Step-by-step explanation:

sum = addition

6 + 9 = 15

15 divided by b can be rewritten as 15/b (15 over b as a fraction)

The expected value is 0.8, variance is 0.48, and standard deviation is 0.693 with the given probability.

a. The probability of getting one success in two trials with p=0.4 is given by the binomial probability formula:

f(1) = 2C1 * (0.4)^1 * (0.6)^1 = 0.48

b. The probability of getting zero successes is:

f(0) = 2C0 * (0.4)^0 * (0.6)^2 = 0.36

c. The probability of getting two successes is:

f(2) = 2C2 * (0.4)^2 * (0.6)^0 = 0.16

d. The probability of at least one success is:

P(at least one success) = 1 - P(no success)

= 1 - f(0)

= 1 - 0.36

= 0.64

e. The expected value of a binomial distribution with n trials and probability of success p is given by:

E(X) = np

In this case, n = 2 and p = 0.4, so:

E(X) = 2 * 0.4 = 0.8

The variance of a binomial distribution is given by:

Var(X) = np(1-p)

So:

Var(X) = 2 * 0.4 * 0.6 = 0.48

The standard deviation is the square root of the variance:

SD(X) = sqrt(Var(X)) = sqrt(0.48) = 0.693.

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Answer:

A: =105

Step-by-step explanation:

3 × 10² miles can you drive, if your car gets 25.00 miles per gallon and you have 12.00 gallons of gas.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

Given that,

car gets 25.00 miles per gallon.

In 1 gallon car covers 25 miles distance.

In 12 gallon the car will cover = 25 × 12 miles distance

                                                = 300 miles distance.

Thus, distance covered in 12 gallons = 300 miles.

                                                             = 3 × 10² miles.

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SAS

and dont forget to give me 5 stars

Answer: 16, 3.125

Step-by-step explanation:

Okay so lets first look at all the information given to us.

The ratio of water to oats is 16:5

Lin decides to cook 5 cups of oats, and the questions asks how many cups of water should she boil.

So according to the ratio, 5 cups of oats will need 16 cups of water.

The second part asks for the amount of oats needed for 10 cups of water.

so water is 16/5 times the amounts of water. Or basically for x amount of oats, there will be 16/5 amount of water. so we can do 10 = 16x/5

x = 50/16 = 25/8 or 3.125

Answer:

247.75

Step-by-step explanation:

two social views that influence and affect relationship

Answer: 12,000n

Step-by-step explanation:

Jane want to save $12,000 every year.

Assuming there are n number of years, she would have saved:

= 12,000 * n

That therefore, is the total amount she would have given a certain number of years.

For instance, in 10 years she would have:

= 12,000 * n

= 12,000 * 10

= $120,000

The correct decision is to "fail to reject H0".

Option B is the correct answer.

We have,

The p-value represents the probability of obtaining the observed test statistic or more extreme results if the null hypothesis (H0) is true.

In hypothesis testing,

We compare the p-value with the significance level (α) to make a decision about whether to reject or fail to reject the null hypothesis.

In this case,

The p-value (0.154) is greater than the significance level (0.05).

This means that there is not enough evidence to reject the null hypothesis and we fail to reject it.

It does not mean that we accept the null hypothesis or that the null hypothesis is true.

It only means that we do not have enough evidence to reject it based on the current data and the chosen significance level.

Thus,

The correct decision is to "fail to reject H0".

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The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

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Answer:

2f + 2e

Step-by-step explanation:

4f -2f = 2f

3e - 1e = 2e

2f + 2e

Answer:

\(4x + 5x + {9}^{ \degree} = {90}^{\degree} \\ 9x = {81}^{ \degree} \\ x = \frac{ {81}^{ \degree}}{9} \\ \therefore \: x = {9}^{ \degree}\)

Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

In this scenario, there are four people in a room. Three of them possess pairs corresponding to a Shamir secret sharing scheme, enabling any two people to determine the secret.

The remaining person is a foreign agent who has chosen a pair randomly. Thus, if any two of the three people with the valid pairs collaborate, they can successfully uncover the secret, as per the properties of the Shamir secret sharing scheme.

The presence of the foreign agent does not affect the security of the scheme unless they collaborate with another person possessing a valid pair.

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The maximum height the ball reaches is approximately 38.8 feet.

To find the maximum height the ball reaches, we need to determine the vertex of the parabolic function representing the height above the ground. In this case, the function is given as:

h(t) = 50t - 16.1t²

To find the vertex, we need to find the t-value that corresponds to the maximum height. The vertex of a parabola can be found using the formula:

t = -b / (2a)

In the given function, a = -16.1 and b = 50. Plugging these values into the formula, we get:

t = -50 / (2 * (-16.1))

t ≈ -50 / (-32.2)

t ≈ 1.55 seconds

Now that we have the t-value, we can substitute it back into the original equation to find the maximum height:

h(t) = 50t - 16.1t²

h(1.55) ≈ 50(1.55) - 16.1(1.55)²

h(1.55) ≈ 77.5 - 16.1(2.4025)

h(1.55) ≈ 77.5 - 38.7

h(1.55) ≈ 38.8 feet

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According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

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Thus, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

The equation of exchange is an economic equation that relates the money supply (M) with the price level (P), the velocity of money (V), and the real output of the economy (Q). The equation is M x V = P x Q.

Using the given values of M = $1.5 trillion, V = 7, and P = 1.05, we can solve for Q by rearranging the equation as Q = M x V / P.

Plugging in the numbers, we get:

Q = ($1.5 trillion x 7) / 1.05 = $10 trillion

Therefore, if M = $1.5 trillion, V = 7, and P = 1.05, the real output of the economy (Q) is $10 trillion.

It's worth noting that the equation of exchange is a theoretical model and may not reflect actual economic conditions. In practice, changes in any one of the variables (M, V, P, or Q) can affect the others, and there may be other factors at play that influence the economy.

Nonetheless, the equation of exchange provides a useful framework for thinking about the relationship between the money supply, prices, and economic activity.

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Complete question

in the equation of exchange, if m = $1.5 trillion, v = 7, and p = 1.05, then:

Find real output.

This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Answer:

x=2

Step-by-step explanation:

1.5x=3

divide both sides by 1.5

1.5 and 1.5 cancel out

3/1.5= 2

x=2

1.5 x 2= 3

this is correct

important to know the size of the freshman classes in relation to the population size before using z-procedures in this situation, so the answer will be option C

In statistical inference, when using z-procedures such as hypothesis testing or constructing confidence intervals, one of the assumptions is that the samples are independent. In this scenario, knowing that the university had 6000 or more entering freshmen is important to ensure that the sample size is less than 10% of the population size.

The 10% condition is necessary to maintain the independence of samples. When the sample size is small relative to the population size, each sample observation has a greater impact on the population proportion, potentially violating the assumption of independence.

By ensuring that the sample size is less than 10% of the population size, we can reasonably assume that each sample observation is independent of each other. This allows us to use z-procedures and rely on the properties of the normal distribution for inference.

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Answer:

27.03

Step-by-step explanation:

3.4*5.3=18.02

5.1*5.3=27.03