You and a group of friends wish to start a company. You have an idea, and you are comparing startup incubators to apply to. (Start up incubators hold classes and help startups to contactventure capitalists and network with one another) Assume funding is normally distributed. Incubator A has a 70% success ratio getting companies to survive at least 4 years from inception. The average venture funding of the 57 companies reaching that 4 year mark,is 1.3 million dollars with a standard deviation of 0.6 million Incubator B has a 39% success ratio getting companies to survive at least 4 years from inception. The average venture funding of the 40 companies reaching that 4 year mark,is 1.9 million dollars with a standard deviation of 0.55 millionAre the success ratios significantly different?

Newton's law of cooling describes how the temperature of an object changes over time in response to the surrounding temperature. The equation that governs this process is du/dt = -K(u - T), where u is the temperature of the object at any given time, T is the constant ambient temperature, and K is a positive constant.

To find the temperature of the object at any time, we need to solve this differential equation. First, we can separate the variables by dividing both sides by (u-T), which gives us du/(u-T) = -K dt. Integrating both sides, we get ln|u-T| = -Kt + C, where C is a constant of integration. Exponentiating both sides, we get u-T = e^(-Kt+C), or u(t) = T + Ce^(-Kt).

To find the value of the constant C, we use the initial condition u(0) = u_0. Plugging in t=0 and u(0) = u_0 into the equation above, we get u_0 = T + C. Solving for C, we get C = u_0 - T. Substituting this value of C into the equation for u(t), we get u(t) = T + (u_0 - T)e^(-Kt).

Therefore, the temperature of the object at any time t is given by u(t) = T + (u_0 - T)e^(-Kt).
According to Newton's law of cooling, the temperature u(t) of an object can be determined using the differential equation du/dt = -K(u - T), where T is the constant ambient temperature, and K is a positive constant. To find the temperature of the object at any time, given the initial temperature u(0) = u_0, we need to solve this differential equation.

Step 1: Separate the variables by dividing both sides by (u - T) and multiplying both sides by dt:
(1/(u - T)) du = -K dt

Step 2: Integrate both sides with respect to their respective variables:
∫(1/(u - T)) du = ∫-K dt

Step 3: Evaluate the integrals:
ln|u - T| = -Kt + C, where C is the constant of integration.

Step 4: Take the exponent of both sides to eliminate the natural logarithm:
u - T = e^(-Kt + C)

Step 5: Rearrange the equation to isolate u:
u(t) = T + e^(-Kt + C)

Step 6: Use the initial condition u(0) = u_0 to find the constant C:
u_0 = T + e^(C), so e^C = u_0 - T

Step 7: Substitute the value of e^C back into the equation for u(t):
u(t) = T + (u_0 - T)e^(-Kt)

This equation gives the temperature of the object at any time t, taking into account Newton's law of cooling, the ambient temperature T, and the initial temperature u_0.

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Thus, the equation that gives the temperature of the object at any time t, considering the initial temperature u_0 and the ambient temperature T is  u(t) = T + (u_0 - T)e^(-Kt).

According to Newton's law of cooling, the temperature u(t) of an object satisfies the differential equation du/dt = -K(u - T), where T is the constant ambient temperature and K is a positive constant.

Given the initial temperature u(0) = u_0, we can solve this differential equation to find the temperature of the object at any time.

To solve the differential equation, we can use separation of variables:
1/(u - T) du = -K dt

Integrate both sides:
∫(1/(u - T)) du = ∫(-K) dt
ln|u - T| = -Kt + C (where C is the integration constant)

Now, we can solve for u(t):
u - T = Ce^(-Kt)

To find the constant C, we use the initial condition u(0) = u_0:
u_0 - T = Ce^(-K*0)
u_0 - T = C

So, our temperature function is:
u(t) = T + (u_0 - T)e^(-Kt)

This equation gives the temperature of the object at any time t, considering the initial temperature u_0 and the ambient temperature T.

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2 × 3 × 2 can be written as 2 × 6, so the answer is 6/1, which is an equivalent fraction to 6.

We can solve this problem by converting the expression into a fraction. First, we need to multiply 2 and 3 together, which gives us 6. Then, we need to multiply this result by 2, so we get 12. Finally, we need to express this result as a fraction. To do this, we put the numerator (12) over the denominator (1). So, the answer is 12/1, which simplifies to 4/32 × 3 × 2 can be written as 2 × 6, so the answer is 6/1, which is an equivalent fraction to 6

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Answer:

Do you have a picture? Or any of the measurements?

Answer:

24 units squared

Step-by-step explanation:

Remember, it's the surface area: count the squares that are in the shape. 24 is the answer.

Answer:

24

Step-by-step explanation:

A=6a2 is the formal you need to salve for the aria of a cube

Answer: - 8

Step-by-step explanation:

x/4 - 5 = -7

=> x/4 = -2

=> x = -8

Answer:

x=−8

Step-by-step explanation:

Add 5 to both sides

x/4-5+5=-7+5

x/4=-2

4x/4=4(-2)

x=-8

Answer:

The answer is A, B and C

Step-by-step explanation:

I did the USATestprep thingy

Answer:

Espanol? or english?

Step-by-step explanation:

The point estimate of the population mean is 22.

A simple random sample of 5 observations from a population containing 400 elements was takenthe following values were obtained:

15, 19, 21, 24, and 31.

A simple random sample is a sampling technique that chooses n elements from a population of size N in such a way that each possible sample of the same size n is equally likely to be chosen.

The point estimate of the population mean can be calculated as the sample mean, which is the sum of the observations divided by the sample size:

Sample mean = (15 + 19 + 21 + 24 + 31) / 5

= 110 / 5

= 22

Therefore, the point estimate of the population mean is 22

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Regular hexagon ABCDEF is inscribed in a circle with center H, the image of segment BC after 120 degree clockwise rotation about point H is the segment joining the points B' and C', which has endpoints (-0.5r\(\sqrt{3\), -0.5r) and (-0.5r, -0.5r).

Since the hexagon is inscribed in a circle with center H, we can conclude that H is also the center of the circle passing through vertices B, C, and D. Therefore, the circle passing through B, C, and D is also a 120 degree clockwise rotation of the circle passing through A, B, and C.

To find the image of segment BC after a 120 degree clockwise rotation about point H, we need to find the coordinates of B and C relative to H, and then apply a 120 degree rotation matrix to these coordinates.

Let the radius of the circle be r, and let the coordinates of H be (0,0). Then the coordinates of B and C are:

B: (r cos(60), r sin(60))

C: (r cos(0), r sin(0)) = (r, 0)

To apply a 120 degree clockwise rotation matrix, we can use the following matrix:

[ cos(-120) -sin(-120) ]

[ sin(-120) cos(-120) ]

Simplifying, we get:

[ cos(120) sin(120) ]

[ -sin(120) cos(120) ]

Applying this matrix to the coordinates of B and C, we get:

B': [ cos(120) sin(120) ][ r cos(60) ] = [ -0.5r \(\sqrt{3}\)]

[ -sin(120) cos(120) ][ r sin(60) ] [ -0.5r ]

C': [ cos(120) sin(120) ][ r ] = [ -0.5r ]

[ -sin(120) cos(120) ][ 0 ] [ -0.5r ]

Therefore, the image of segment BC after a 120 degree clockwise rotation about point H is the segment joining points B' and C', which has endpoints (-0.5r\(\sqrt{3}\), -0.5r) and (-0.5r, -0.5r), respectively.

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The three unbiased estimators are the sample mean, sample variance, and sample proportion. These estimators provide unbiased estimates of the population mean, population variance, and population proportion, respectively.

There are several unbiased estimators commonly used in statistics, but three notable examples are the sample mean, the sample variance, and the sample proportion.

1. Sample Mean: When estimating the population mean, the sample mean is an unbiased estimator. It is calculated by taking the average of all the observations in a sample. Under certain conditions, such as random sampling, the sample mean provides an unbiased estimate of the population mean.

2. Sample Variance: When estimating the population variance, the sample variance is an unbiased estimator. It measures the dispersion of the data points around the sample mean. By dividing the sum of squared differences by the sample size minus one, the sample variance provides an unbiased estimate of the population variance.

3. Sample Proportion: When estimating the population proportion, the sample proportion is an unbiased estimator. It represents the proportion of a specific characteristic or outcome within a sample. If the sample is obtained randomly and meets certain conditions, the sample proportion provides an unbiased estimate of the population proportion.

These three unbiased estimators play crucial roles in statistical inference, allowing researchers to make inferences about population parameters based on sample data.

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Answer:

x ≈ 28.8°

Step-by-step explanation:

Using the sine ratio in the right triangle

sin x = \(\frac{opposite}{hypotenuse}\) = \(\frac{AB}{AC}\) = \(\frac{3.9}{8.1}\) , then

x = \(sin^{-1}\) (\(\frac{3.9}{8.1}\) ) ≈ 28.8° ( to the nearest tenth )

Yes, the minimal sufficient statistic is also complete, because the distribution of T depends on θ, and the mean of any function of T is a function of θ. Therefore, any unbiased estimator of zero is also an unbiased estimator of                                     E [g (T)] = ∑ g (t) P (T = t | θ), which is a function of θ.

A statistic that is minimal sufficient for θ and derive its distribution:

Let n = 2θ + 1 be the total number of balls in the box.

Let x1, x2, x20 be the marks on the selected balls.

The number of ways to select 20 balls is (n choose 20).

Let y1, y2, y20 denote the positions of the selected balls.

Then y1 < y2 < < y20, and the number of ways to select the positions is (n choose 20).

Thus, the likelihood function is given by

L(θ) = (n choose 20) 1  [(θ + y 20 - x 20) (θ + y19 - x19)  (θ + y1 - x1)] [(θ - y1 + x1) (θ - y2 + x2) (θ - y20 + x20)]

For fixed x1, x2, ..., x20, the ratio of the likelihood functions for two different values of θ depends only on the product of the terms with θ in each of the two factors, so the likelihood function depends only on ∏ (θ + y - x) and ∏(θ - y + x). The factorization theorem implies that T = X (1) - X (20) is a minimal sufficient statistic for θ. To see this, note that the ratio of the likelihood functions for two different values of θ depends only on the ratio of the products of the terms with θ in each of the two factors, so the likelihood function depends only on T = X (1) - X (20).

It follows that the conditional distribution of X (1), X (20), given T, does not depend on θ, so the distribution of T does not depend on θ either. For fixed T, the likelihood function is proportional to

∏ (θ + y - x) and ∏ (θ - y + x), and these factors are both decreasing functions of θ, so the maximum likelihood estimator of θ is the smallest value of θ that is consistent with the observed values of X (1) and X (20), namely X (1) - T and X (20) + T.(b)

Yes, the minimal sufficient statistic is also complete, because the distribution of T depends on θ, and the mean of any function of T is a function of θ. Therefore, any unbiased estimator of zero is also an unbiased estimator of                                     E [g (T)] = ∑ g (t) P (T = t | θ), which is a function of θ.

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Answer: 1.5 hours

Step-by-step explanation:

I assume you’re trying to find how much time she is doing other activity.

2 1/4 - 3/4 is equal to:

2.25-0.75

That equals 1.5.

Answer:

12cm cubed

Step-by-step explanation:

A= base*height/2 so base is 6 just count the squares and height is 4 at the highest point  so just plug those in the formula hopefully its correct

Step-by-step explanation:

The height is 5

and the base is 7

area of triangle = bxh    

                          = 7 x 5

                           = 35 cm2

The number of sides on a polygon with an interior angle of 176 degrees would be 10.

Here's how you can solve it:

To find the number of sides in a polygon, we need to use the formula below:

(n - 2) × 180° / n = Interior

Angle where n is the number of sides in a polygon and Interior

Angle is the angle in the polygon.

To solve for n in this formula, we need to use the given angle.

So, we can rearrange the formula as shown below:

n = (Interior Angle × n) / (n - 2)

We know that the given Interior Angle is 176 degrees.

Substituting this value in the above formula, we get:

n = (176 × n) / (n - 2)

Multiplying both sides by n - 2, we get:n(n - 2) = 176n

Expanding the left-hand side of the equation:n² - 2n = 176n

Rearranging the equation to solve for n:n² - 178n = 0n(n - 178) = 0

So, n = 0 or n = 178.

But we can discard n = 0

because the number of sides of a polygon can't be zero.

Hence, n = 178 is the extraneous solution that we can discard.

The correct solution is:n = 10

Therefore, the number of sides on a polygon with an interior angle of 176 degrees is 10.

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Answer:

Below

Step-by-step explanation:

I previously answered this Q here:

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Answer:

16 /7

Step-by-step explanation:

multiply both sides by -8 then simplify

Answer:

1: 55     2: 40

Step-by-step explanation:

For the first problem, by the triangle angle theorm, the three angles in a triangle add up to 180, so

90+35+x=180

125 + x = 180

x = 55

Now, the angle you just found (x = 55) and the exterior angle are supplementary so they also add up to 180

55 + y = 180

y = 125

For the second problem, the two angles in a triangle non-adjacent to the exterior angle are equal to the exterior angle, so

40 + 2x = 3x

x = 40

The coefficient of (3y² + 9)5 is 15.

A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.

Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.

a₀ is the leading coefficient.

In the question, we are asked to identify the coefficient of (3y² + 9)5.

First, we expand the given expression:

(3y² + 9)5

= 15y² + 45.

Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.

Thus, the coefficient of (3y² + 9)5 is 15.

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The rectangle that has side lengths of 5 units and 4 units is C) A(3,3), B(3,7), C(7,7), D(7,3).

Point C at (7,7), means the width is 4 units (7-3) and the height is 5 units (7-2), so this is the correct rectangle.

A rectangle is a shape with four right angles (that is four angles of 90 degrees) and the opposite sides are parallel and congruent.

The two sides of a rectangle are parallel and they meet at the four corners or vertices.

For a rectangle, the opposite sides are of  the same length and are parallel to each other.

Therefore, C. A(3,3), B(3,7), C(7,7), D(7,3) is the rectangle that has side lengths of 5 units and 4 units.

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If a test statistic does not fall in the rejection region when a false null hypothesis is being tested, it means that the null hypothesis cannot be rejected at the chosen level of significance.

In hypothesis testing, the rejection region is the set of all possible test statistic values that are unlikely to occur if the null hypothesis is true. If the test statistic falls within this region, then the null hypothesis is rejected in favor of the alternative hypothesis.

However, if the test statistic falls outside the rejection region, it means that the observed data is consistent with the null hypothesis. In other words, the data does not provide enough evidence to reject the null hypothesis at the chosen level of significance.

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Answer:

The slope of the line = m = 3

Step-by-step explanation:

Given the table

x           3          6            8           12

y           7          16          22          34

Taking any two points let say (3, 7) and (6, 16)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]  

                 =  [16 - 7] / [6 - 3]

                  = 9 / 3

                 = 3

Therefore, the slope of the line = m = 3

Answer:

3 OR 8  hope this helps!

Step-by-step explanation:

Step-by-step explanation:

the average rate of change is

(f(x2) - f(x1)) / (x2 - x1)

so, for x = 1 and 2

(4×3² - 4×3¹) / (2 - 1) = 36 - 12 = 24

for x = 3 and 4

(4×3⁴ - 4×3³) / (4 - 3) = 324 - 108 = 216

so the second rate is 216/24 = 9 times greater than the first rate.

Answer:

(- ∞,1]

Step-by-step explanation:

Answer:

it would 35 feet long 100x0.35

The length of the movie theater will be 35 feet.

In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -

2x + 3y + 5

3y + 5

5 + 6

Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.

Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.

Mathematically, we can write -

{K} = final dimensions/initial dimensions

In the question given, the scale factor is -{K} = 100.

Assume the length of the movie theater to be {x}. So, we can write -

{x} = 0.35 x 100

{x} = 35/100 x 100

{x} = 35 feet

Therefore, the length of the movie theater will be 35 feet.

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