Enter the surface area of the net of the triangular prism in the space provided, in centimeters squared.

Answer: THE ANSWER TO YOUR QUESTION IS "ONE WOULD EXPECT THE DEPENDENT VARIABLE TO INCREASE!

The probability that at least 75 rolls are necessary to exceed a total sum of 275 is approximately 0.293.

Let X be the random variable denoting the total number of rolls required to exceed 275. We want to calculate P(X >= 75). The probability of rolling a number greater than 5 is 1/3, and the probability of rolling a number less than or equal to 5 is 2/3. Therefore, the expected value of a single roll is

The variance of a single roll is

Using the properties of the geometric distribution, we can calculate the probability that it takes at least 75 rolls to achieve a sum greater than 275:

P(X >= 75) = (1 - P(X < 75)) = (1 - (1 - (275/3.67)/75\()^{(75)}\)) = 0.293.

Therefore, the probability that at least 75 rolls are required is approximately 0.293.

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the quotient as a power. a^21/a is a^20.

What is Power?

In mathematics, power defines a base number raised to the exponent, where base number is the factor which is multiplied by itself and exponent denotes the number of times the same base number is multiplied.

What is quotient?

The number we obtain when we divide one number by another is the quotient.

What is exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

Given that,

a^21/a

quotient as power = a^21/a

                             =  a^(21-1)

                             = a^20

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Answer:

4 years

Step-by-step explanation:

I = $ 400

R = 5%

P =$ 2000

I = Prt

400 = 2000 * \(\frac{5}{100}\) * t

400 = 20 * 5 * t

400 = 100 t

\(\frac{400}{100}=t\)

t = 4 years

When Partition(numbers, 5, 9) is called in Quicksort for the array (56,25,26,28,81,93,92,85,99,87), the pivot is 92. The low partition is (56,25,26,28,81,85,87).

When Partition(numbers, 5, 9) is called in Quicksort with the array numbers = (56, 25, 26, 28, 81, 93, 92, 85, 99, 87), the element at the midpoint between index 5 and index 9 is chosen as the pivot.  The midpoint index is (5 + 9) / 2 = 7, so the pivot is the element at index 7 in the array, which is 92.

After the partitioning step, all the elements less than the pivot are moved to the low partition, while all the elements greater than the pivot are moved to the high partition. The low partition starts at the left end of the array and goes up to the element just before the first element greater than the pivot.

In this case, the low partition after the partitioning step would be (56, 25, 26, 28, 81, 85, 87), which are all the elements less than the pivot 92. Note that these elements are not necessarily in sorted order yet, as Quicksort will recursively sort each partition of the array.

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a) It is shown that T3 is an unbiased estimator of θ.

b) If T1 has a large variance relative to T2, then Var(T1) will dominate the denominator of the above equation, making α closer to 0. This means that T3 will be closer to T2 than T1.
c) The optimal value of α will depend on the covariance between T1 and T2.

EXPLANATION:

(a) To show that T3 is an unbiased estimator of θ, we need to show that E(T3) = θ.

Using the linearity of expectation, we have:

E(T3) = E(αT1 + (1 − α)T2)

= αE(T1) + (1 − α)E(T2)

Since T1 and T2 are unbiased estimators of θ, we have:

E(T1) = θ and E(T2) = θ

Substituting into the above equation, we get:

E(T3) = αθ + (1 − α)θ = θ

Thus, T3 is an unbiased estimator of θ.

(b) The variance of T3 is given by:

Var(T3) = α^2Var(T1) + (1 − α)^2Var(T2) + 2α(1 − α)Cov(T1, T2)

To minimize Var(T3), we can differentiate it with respect to α and set the derivative to 0:

d/dα (Var(T3)) = 2αVar(T1) - 2(1-α)Var(T2) + 2(1-2α)Cov(T1, T2) = 0

Solving for α, we get:

α = (Var(T2) - Cov(T1, T2)) / (Var(T1) + Var(T2) - 2Cov(T1, T2))

This is known as the optimal value of α.

If T1 has a large variance relative to T2, then Var(T1) will dominate the denominator of the above equation, making α closer to 0. This means that T3 will be closer to T2 than T1.

(c) If T1 and T2 are not independent, then the optimal value of α will be different.

In general, the optimal value of α will depend on the covariance between T1 and T2.

However, it is still possible to minimize Var(T3) by differentiating with respect to α and solving for α.

The resulting expression will involve the covariance between T1 and T2.

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The equation is written in slope intercept form [ y = mx + b ]

m = slope

b = y-intercept

Using what I wrote above, we can see that:

m = 3

b = 30

Best of Luck!

Answer:

Solve   y-3x+30  = 0

Step-by-step explanation:

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-3x+30  = 0 and calculate its properties

The time needed for light to travel 42000 Km is 0.14 second.  

Given that,

The speed of the light is = 3 × 10⁸ m/s

Distance travelled by light is = 42000 km = 42 × 10⁶ m [since 1 km = 10³ m]

We have to find the time needed to travel the distance 42000 km by the light.

We know that from the velocity formula,

Speed = Distance/Time

Time = Distance/Speed

Time = (42 × 10⁶)/(3 × 10⁸) = 14 × 10⁻² = 0.14 second.

Hence the time needed for light to travel 42000 Km is given by 0.14 second.  

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Answer:

4550.4 ?

Step-by-step explanation:

I'm not sure tho dddd

Answer:

A cube is a solid box whose every surface is a square of same area. ... So the volume of the box will be equal to the volume of 8 unit cubes together. ... The number of cubes are 12, its volume is 12 cu cm. 3. ... When we draw a flat shape on a paper, it occupies a certain ... It's unit is square centimeters or square meters etc.

Step-by-step explanation:

The only point that lies on both lines is (-4,5).

To determine which of the points (−4,5), (4,3), and (1,2) lie on both the lines −x1−4x2=−16 and −3x1−5x2=−13, we need to check if the coordinates of each point satisfy both of the equations.

For the first line, we can rewrite it as x2 = (-x1 + 16)/4 and for the second line, we can rewrite it as x2 = (-3x1 + 13)/5.

Substituting the coordinates of each point into these equations, we get:

For the point (-4,5):

-4(2) + 16/4 = -4 + 4 = 0, and

-3(-4) + 13/5 = 12/5 + 13/5 = 25/5 = 5.

Therefore, (-4,5) satisfies both equations.

For the point (4,3):

4(2) + 16/4 = 8 + 4 = 12, and

-3(4) + 13/5 = -12 + 13/5 = -47/5.

Therefore, (4,3) does not satisfy both equations.

For the point (1,2):

-1(2) + 16/4 = -2 + 4 = 2, and

-3(1) + 13/5 = -3 + 13/5 = 2/5.

Therefore, (1,2) does not satisfy both equations.

Therefore, the only point that lies on both lines is (-4,5).

When given two equations, the solution can be found by solving the system of equations. To solve a system of equations, one should find the values of x and y that satisfy both equations. The solution to the system is the point (x,y) that satisfies both equations.

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1)

a) 1/20

b) 19/20

c) 12/20

d) not sure

e) 8/20

2)

a) 3/6

b) 2/6

c) not sure

d) 3/6

Please mark brainlist took 5 minutes to do

Answer:

6 in

Step-by-step explanation:

2/3 = 4/x

(4*3)/2

Answer:

Step-by-step explanation:

To evaluate the given expression, we need to substitute the given values for x, y, and z. The expression becomes:

yz + x²

Substituting the given values, we get:

(6.1 * 0.2) + (3.2^2)

This simplifies to:

1.22 + 10.24

Therefore, the value of the expression is approximately 11.46.

11.46

gimme brainlyest gang

Answer:

8,377.58 \(mi^{3}\)

Step-by-step explanation:

To solve for the volume of a right circular cone like the one in the picture, you use \(\pi\)\(r^{2}\)\(\frac{h}{3}\).

Plug in the radius and height to get \(\pi\)\(20^{2}\)\(\frac{20}{3}\).

Then solve (and round to the nearest hundredth) and you should get 8,377.58.

Answer:

11

Step-by-step explanation:

a + 4 when a = 7

First, plug in 7 for a.

7 + 4

Add.

11

This is your answer.

Hope this helps!

The height of the cone is h = 3V / πr². Then the correct option is B.

Given that:

Volume of the cone, V = πr²h / 3

Simplify the equation for the value of h, then we have

V = πr²h / 3

3V = πr²h

h = 3V / πr²

The height of the cone is h = 3V / πr². Then the correct option is B.

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a.  The probability that this runner will complete this road race: In less than 160 minutes is 0.0764. The correct answer is C.

b.  The probability that this runner will complete this road race: In 215 to 245 minutes is 0.1125 The correct answer is C.

a. To find the probability for each scenario, we'll use the given normal distribution parameters:

Mean (μ) = 190 minutes

Standard Deviation (σ) = 21 minutes

Probability of completing the road race in less than 160 minutes:

To calculate this probability, we need to find the area under the normal distribution curve to the left of 160 minutes.

Using the z-score formula: z = (x - μ) / σ

z = (160 - 190) / 21

z ≈ -1.4286

We can then use a standard normal distribution table or statistical software to find the corresponding cumulative probability.

From the standard normal distribution table, the cumulative probability for z ≈ -1.4286 is approximately 0.0764.

Therefore, the probability of completing the road race in less than 160 minutes is approximately 0.0764. The correct answer is C.

b. Probability of completing the road race in 215 to 245 minutes:

To calculate this probability, we need to find the area under the normal distribution curve between 215 and 245 minutes.

First, we calculate the z-scores for each endpoint:

For 215 minutes:

z1 = (215 - 190) / 21

z1 ≈ 1.1905

For 245 minutes:

z2 = (245 - 190) / 21

z2 ≈ 2.6190

Next, we find the cumulative probabilities for each z-score.

From the standard normal distribution table:

The cumulative probability for z ≈ 1.1905 is approximately 0.8820.

The cumulative probability for z ≈ 2.6190 is approximately 0.9955.

To find the probability between these two z-scores, we subtract the cumulative probability at the lower z-score from the cumulative probability at the higher z-score:

Probability = 0.9955 - 0.8820

Probability ≈ 0.1125

Therefore, the probability of completing the road race in 215 to 245 minutes is approximately 0.1125. The correct answer is C.

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Answer:

no

Step-by-step explanation:

x = 2

y = 0

substitute x with 2 and y with 0

0 = 6(2)

0 = 12

this is not true, so (2,0) is not a solution

Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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The inequality solved for y is:

y ≥ 21/25

To solve an inequality for one variable, we need to isolate that variable.

Here we have:

(8/7)y -1 ≥ (3/7)y - 2/5

Move the terms with y to the left side and the others to the right side.

(8/7)y - (3/7)y ≥ -2/5 + 1

(5/7)y ≥ (3/5)

Now multiply both sides by 7/5, we will get:

y  ≥ (3/5)*(7/5)

y ≥ 21/25

That is the solution simplfied.

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Answer:

1 is H

2 is G

3 is B

Answer:

1 is G number 2 is F

Number 1 is G

Number 2 is F

According to the question 35 can be accurately placed between 5 and 6, but it is notably closer to 6 on the number line.

The number 35 would be plotted on the number line between 5 and 6, but closer to 6. When considering the interval between 5 and 6 as a whole, 35 falls closer to the 6 side. It is not exactly midway between the two numbers, but its proximity leans towards 6.

This positioning indicates that 35 aligns more closely with the value of 6 rather than 5. Visually, if we were to divide the distance between 5 and 6 into equal parts, the point representing 35 would be located at a distance closer to 6.

Therefore, 35 can be accurately placed between 5 and 6, but it is notably closer to 6 on the number line.

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Answer:

Step-by-step explanation:

eliminate either vraible, here it is easy to eleimate y, by just subtacting, then solve for x. When you get the value of x, plug in one of the equation and find y. ther you go

Answer:

x= 3.8

y= -29.3

Step-by-step explanation:

Answer:

There were 240/6=<<240/6=40>>40 contestants eliminated in round 1.

There were 240/5=<<240/5=48>>48 contestants eliminated in round 2.

There were 240/3=<<240/3=80>>80 contestants eliminated in round 3.

Altogether, there were 40+48+80=<<40+48+80=168>>168 contestants eliminated.

Therefore, there are 240-168=<<240-168=72>>72 contestants left.

Step-by-step explanation:

Answer: p=0

Step-by-step explanation: 10p+9-11-p=-2(2p+4)-3(2p-2)                               10p-p+9-11=-2(2p+4)-3(2p-2)                                                                                  9p-2=-2(2p+4)-3(2p-2)                                                                                          9p-2=-4p-8-6p+6                                                                                                    9p-2=-4p-6p-8+6                                                                                                    9p-2+10p=-10p-2+10p                                                                                         19p-2+2=-2+2                                                                                                     19p/19=0/19                                                                                                           p=0                                                                                                                                                                                                                      

The angle 1 can be named as follows:

∠RST

∠TSR

∠S

There are various ways to name an angles. You can name an angle by its vertex, by the three points of the angle (the middle point must be the vertex), or by a letter or number written within the opening of the angle.

Therefore, let's name the angle 1 indicated on the diagram as follows:

Hence, the different ways to name the angle 1 is as follows:

∠RST or ∠TSR

Or

∠S

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