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Answer:

There is no fixed number of trials, so X is not a binomial variable

Step-by-step explanation:

mama

There is no fixed number of trials, so X is not a binomial variable.

This is a specific kind of discrete random variable. A binomial random variable counts how regularly a specific event occurs in a fixed variety of attempts or trials.

The binomial is a form of distribution that has possible effects (the prefix “bi” method two, or twice). as an example, a coin toss has only viable effects: heads or tails, and taking a check may want to have viable outcomes: pass or fail. A Binomial Distribution indicates both success and failure.

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Answer:

D. \(\frac{(x-7)^2}{8^2} -\frac{(y-2)^2}{7^2}\)

Step-by-step explanation:

hope this helps

Answer:  D has the largest perimeter

Step-by-step explanation:

The top numbers of fractions describe the vertex and  the bottom number square rooted tells you how long each or wide each part of the asymptote rectangle is.

A.

P = 2(11) + 2(3)

P = 22+6

P=28

B.

P = 2(4) + 2(9)

p = 8 +18

P = 26

C.

P = 2(5) + 2(9)

P = 10 +18

P = 28

D.

P =  2(8) + 2(7)

P = 16 +14

P = 30

The solution set for the given system of equations is (1, 5).

Given is the system of equations as -

4x + 3y = 19

- 3x + y =2

The given system of equations is -

4x + 3y = 19

- 3x + y =2

Now, we can write -

- 3x + y = 2

y = 2 + 3x

Then, the equation 4x + 3y = 19, will become -

4x + 3(2 + 3x) = 19

4x + 6 + 9x = 19

13x = 13

x = 1

Then, the value of {y} will be -

y =2 + 3

y = 5

Therefore, the solution set for the given system of equations is (1, 5).

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Answer:

top left

Step-by-step explanation:

If you look at both equations they both have 2x in them. This makes it easier to eliminate x. To eliminate x we must subtract the second equation from the first (because 2x - 2x = 0).

Answer: FALSE

Reason: The Discriminant determines how many or what are the nature of the roots. To get the Discriminant of a quadratic equation, find the square the value of 'b' subtracted to the product of 4, the value of 'a', and the value of 'c'.

hope this helps :)

The dimensions that maximize the area are 150ft × 300ft.

So, let y be the length of the side parallel to the river and x be the length of each of the two sides perpendicular to it.

The following provides the total fencing length:

The rectangular pen's surface area is:

We may determine the value of x required to maximize the area by determining the value of x for which the derivative of the area function is zero:

The value of y is: for x=150

Therefore, the dimensions that maximize the area are 150ft × 300ft.

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To find the area of the surface of the hyperbolic paraboloid z = y^2 - x^2 that lies between the cylinders x^2 + y^2 = 1 and x^2 + y^2 = 9, we will use the surface integral.

First, find the partial derivatives with respect to x and y:
∂z/∂x = -2x
∂z/∂y = 2y

Now, find the magnitude of the gradient vector of z:
|∇z| = sqrt((-2x)^2 + (2y)^2) = sqrt(4x^2 + 4y^2) = 2√(x^2 + y^2)

Next, we set up the surface integral in polar coordinates:
Area = ∬_D 2√(x^2 + y^2) dA = ∬_D 2r dr dθ

The limits of integration are:
r: 1 to 3 (corresponding to the two cylinders)
θ: 0 to 2π (covering the entire circle)

Now, we evaluate the integral:
Area = ∬[1,3]×[0,2π] 2r rdrdθ = 2π∫[1,3] r^2 dr = 2π([r^3/3] evaluated from 1 to 3) = 2π(26/3) = (52/3)π

So, the area of the surface of the hyperbolic paraboloid between the cylinders is (52/3)π square units.

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Answer:

Are there any options?

and it's not A)

so B)

Step-by-step explanation:

Answer:

y= 3x - 5

y+5 = 3x

x = (y+5)/3

Answer:

x = \(\frac{y+5}{3}\)

Step-by-step explanation:

Given

y = 3x - 5 ( add 5 to both sides )

y + 5 = 3x ( isolate x by dividing both sides by 3 )

\(\frac{y+5}{3}\) = x

If someone asked me how it could be possible for an annual interest rate to be higher than 100%, I would explain that it is actually quite common in certain situations, particularly in the case of loans with very short terms or loans with high fees.

For example, let's say you borrowed $100 from a lender and agreed to pay back $110 in one week. The lender is essentially charging you 10% interest for the one-week loan period, but if you annualize that rate, it comes out to over 520%. This is because the lender is charging you a very high interest rate for a very short period of time.

Another example would be if you took out a payday loan, which typically have very high fees attached to them. For instance, you might borrow $500 and have to pay back $575 in two weeks. The interest rate on this loan might be calculated as the $75 fee divided by the $500 borrowed, which comes out to 15%. However, if you annualize that rate, it comes out to over 390%.

In both of these examples, the interest rate is very high because the loan term is very short and/or the fees are very high. It's important to note that borrowing at such high interest rates can be extremely costly and can lead to a cycle of debt, so it's generally recommended to avoid loans with high interest rates whenever possible.

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Answer:

She will be ready, and she will make it on time.

Step-by-step explanation:

Given:

\(Start\ Time = 10:20\ am\)

\(Planting = 5\ hours\)

\(Shower = 1\ hour\)

Required

Will she be ready by 5pm?

First, we calculate the time spent in planting and taking shower.

\(Time\ Spent = Planting + Shower\)

\(Time\ Spent = 5\ hours + 1\ hour\)

\(Time\ Spent = 6\ hours\)

Next, we calculate the end time. i.e. the time she'll finish these tasks.

\(End\ Time=Start\ Time + Time\ Spent\)

\(End\ Time=10:20\ am + 6\ hours\)

\(End\ Time=04:20\ pm\)

Since 04:20 pm is less than 5pm, then she will be ready, and she will make it on time.

The given system of equation are :

-6x - y = -16

-6x -5y = -8

On subtracting both the equation we get :

-6x -y -(-6x -5y) = -16 -(-8)

-6x -y +6x +5y = -16 +8

-6x + 6x +5y -y = -8

4y = -8

4y = -8

Divide both side by 4:

4y/4 = -8/4

y = -2

Substitute the value of y =- 2 in the any one equation:

-6x - y = -16

-6x - (-2)= -16

-6x + 2 = -16

-6x = -16 -2

-6x = -18

x = 3

Answer : x = 3, y = -2

it A

Step-by-step explanation:

Answer:

A because its not the one that maintains congruence

Step-by-step explanation:

^^^^^

When the car traveled 19 miles per hour faster than the truck then the average speed of the truck is 81 miles per hour, and the average speed of the car is 100 miles per hour.

A car and a truck left Washington D.C. traveling in opposite directions. The car traveled 19 miles per hour faster than the truck.

After 8 hours, the vehicles were 1448 miles apart. We need to find the average speed of each vehicle.

Let's assume the speed of the truck is x miles per hour.

Since the car is traveling 19 miles per hour faster, the speed of the car is (x + 19) miles per hour.

We know that distance = speed * time.

After 8 hours, the car has traveled a distance of (x + 19) * 8 miles, and the truck has traveled a distance of x * 8 miles.

The sum of these distances is equal to 1448 miles:

8(x + 19) + 8x = 1448

Simplifying the equation, we get:

8x + 152 + 8x = 1448

Combining like terms, we have:

16x + 152 = 1448

Subtracting 152 from both sides of the equation:

16x = 1296

Dividing both sides by 16:

x = 81

So, the speed of the truck is 81 miles per hour, and the speed of the car is (81 + 19) = 100 miles per hour.

Therefore, the average speed of the truck is 81 miles per hour, and the average speed of the car is 100 miles per hour.

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Answer:

Step-by-step explanation:

( \(x_{1}\) , \(y_{1}\) )

( \(x_{2}\) , \(y_{2}\) )

m = \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

~~~~~~~~~~~~

( - 9 , - 3 )

( 1 , - 3 )

m = \(\frac{-3+(-3)}{-9-1}\) = \(\frac{0}{-10}\) = 0 , line is horizontal

We know that the expression can be combined into log4(200).

To combine the expression log4(8) + 2 log4(5), we can use the Laws of Logarithms. Specifically, we can use the product rule, which states that log*a(x) + log*a(y) = log*a(x y). Applying this rule, we get:

log4(8) + 2 log4(5) = log4(8) + log4(5^2)
= log4(8 * 5^2)
= log4(200)

Therefore, the expression can be combined into log4(200).

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Answer:

B

Step-by-step explanation:

Answer:

Common Difference: \(-\frac{1}{2}\)

The ninth term: -1

Step-by-step explanation:

The sequence can be written like this,

3, 2.5, 2, 1.5, 1, ....

Here the common difference is clearly -0.5 or \(-\frac{1}{2}\), and we can conclude that \(n^{th}\) number is \(3 - 0.5(n-1)\). So the 9th term is,

\(3 - 0.5(9 - 1)\\= -1\)

Answer:12/13

Step-by-step explanation:12/13

Answer:

6x2-11x+4

..........

First row = 25

Second row = 27

Third row = 29

This is 25, 27, 29...

there are 30 rows, this is n = 30

common difference = d = 27 - 25 = 2

then, we use the formula:

so, 83 is the last term:

that mean 1620 total seats, therefore:

answer: $4,050,000

Half-life is the time taken for a radioactive substance to decay to half of its original quantity.

We need to find the half-life of the radioactive decay of Sm-151 (an isotope of samarium) from the given differential equation. The given differential equation is: We need to find the half-life of Sm-151 (an isotope of samarium).We know that the half-life (t1/2) is the time taken for half of the substance to decay. So, when the quantity of the substance (N) becomes half of the original quantity (No), we have t = t1/2 and N = 0.5No. Substituting the given values, we get:
Thus, the half-life of Sm-151 is approximately 88.3 years.

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With a p-value of less than 0.025, we have sufficient evidence to reject the null hypothesis and conclude that the average breaking distance is different from 120 feet, at the 0.01 significance level.

The p-value is a statistical measure that helps us determine the probability of obtaining a result as extreme as the one we observed, assuming that the null hypothesis is true.

In this case, the null hypothesis is that the average breaking distance is 120 feet. The alternative hypothesis is that the average breaking distance is different from 120 feet.

If the p-value is less than the level of significance (0.01 in this case), we can reject the null hypothesis in favor of the alternative hypothesis.

A p-value of less than 0.025 indicates that the probability of obtaining a result as extreme as the one we observed (or more extreme), assuming that the null hypothesis is true, is less than 0.025.

This is a relatively small probability, which provides strong evidence against the null hypothesis. Therefore, we can conclude that the average breaking distance is different from 120 feet.

It is important to note that rejecting the null hypothesis does not necessarily mean that the alternative hypothesis is true.

It simply means that the evidence suggests that the null hypothesis is unlikely to be true. Further research and analysis may be needed to confirm the alternative hypothesis.

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Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Answer:

a = -4,000m + 39,000

Step-by-step explanation:

if you plug in 1 for m you get 35,000 which represents 1 minute it's at 35,000

same goes for if u put 2 you get 31,000

hope this helps :))

Answer:  \(j \div 8\)

We're dividing unknown number j over 8

We can write it as \(\frac{j}{8}\) similar to how \(\frac{3}{4} = 3 \div 4\)

The quotient is the result of a division problem (there may or may not be a remainder).

Answer:

Because there are fewer than 30 (not no more than 30) one of the answer i x+y < 30

Because he needs both small and large another answer is x>0 and not x  0

Finally because he need at least dozen large cones the last answer is y

Step-by-step explanation:

Answer:

\(H=20(0.8)^{n}\)

Step-by-step explanation:

So, lets just go over this step by step and make sense of it.

20 clearly must be what we start with, and as you see in your answers, all of them have that as the number you multiply the parethese by.

Its what next that we dont know about.

We know that the ball rebounds 80% of its previous height.

It for sure cannot be a or d because a would mean that it would only rebound 20% of its height, and d would mean that it rebound 180% of its height.

Its now between b and c.

Lets just think about it.

Pull out your calculator or pull it up on your electronic. Multiply 10 by 0.9. This will get you 9. Multiply 9 again by 0.9, and youll get 8.1.

What did we actually do there? We did 10*0.9^2

Pull out your calculator again and try 10* 0.9^2. Youll see that 0.9 squared is 0.81. This times 10 is 8.1, and that is exactly what you got before.

Understanding this, it is clear that we must use an exponent to fidn future values.

In answer b, it shows that you can just multiply by n.

In answer c however, it uses n as an exponent, which is the correct thing to do.

So c is your answer.

The actual formula for this is: \(first_.term(change)^t^e^r^m ^\)

The first term in this case is the first height, which is 20. The change is a rebound of 80%(0.8).

The term is just n, but in most problems n is time.

Hope this helps!