36 inches long and 22 inches high. What is the diagonal length

The null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

Null hypothesis is a statistical hypothesis that claims there is no significant difference between a specified population parameter and the observed sample statistics. While alternative hypothesis is a statistical hypothesis that suggests that there is a significant difference between a specified population parameter and the observed sample statistics.In the given scenario, the null hypothesis and the alternative hypothesis will be:

Null hypothesis (H0): At most 70% of people who eat fast food more than 2x a week are overweight. (This means less than 70% are overweight)Alternative hypothesis (Ha): More than 70% of people who eat fast food more than 2x a week are overweight.

:We can evaluate the null hypothesis by testing the probability of a sample occurring, assuming the null hypothesis is true. If the probability of a sample is very low, it implies that it is unlikely that the sample was obtained assuming that the null hypothesis was true, and we can reject the null hypothesis and accept the alternative hypothesis

.In conclusion, the null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

To know more about null hypothesis visit:

brainly.com/question/30821298

#SPJ11

The hypothesis statement h: μ < 60 is an example of an alternative hypothesis in a one-tail test is true

A hypothesis is a proposed explanation or prediction for an observation or phenomenon that is based on limited evidence or data. It is a tentative statement or idea that can be tested through further observation, experimentation, or data analysis. Hypotheses are often used in scientific research as a starting point to investigate a research question or problem.

The hypothesis statement "μ < 60" is an example of an alternative hypothesis in a one-tailed test.

In a one-tailed test, the alternative hypothesis is directional and states that the population parameter is either greater than or less than the null hypothesis value.

In this case, the alternative hypothesis states that the population mean is less than 60.

The null hypothesis, in contrast, is typically a statement of "no effect" or "no difference" and is often denoted by H0.

To know more about experimentation, visit:

https://brainly.com/question/10416781

#SPJ1

The Distance between P and Q is PQ² = 2 - 2 ( cos β. cos α + sin β. sin α).

The two points on the cartesian plane having coordinates P(a, b) and Q( c, d) then the distance between P and Q is

PQ²= ( c- a )² + (d -b)²

Given:

we have the coordinates P( cos α, sin α) and Q( cos β, sin β).

Using Distance formula

PQ²= ( cos β- cos α)² + (sin β - sin α)²

PQ²= cos² β  + cos² α - 2 cos β. cos α  +  sin² β  + sin² α - 2 sin β. sin α

PQ²= (cos² β +  sin² β) + (cos² α + sin² α ) -  2 cos β. cos α- 2 sin β. sin α

As, we know that sin² x + cos² x = 1

PQ² = 1 + 1 - 2 ( cos β. cos α + sin β. sin α)

PQ² = 2 - 2 ( cos β. cos α + sin β. sin α)

Learn more about Distance Formula here:

https://brainly.com/question/28956738

#SPJ9

Answer:

Step-by-step explanation:

By finding the slopes of the two segments we can see that the segments are not parallel nor perpendicular.

The slope for a segment whose endpoints are:

(x₁, y₁) and (x₂, y₂) is:

slope = (y₂ - y₁)/(x₂ - x₁)

Two segments are:

Segment AB has endpoints (-1, -1) and (1, 5), so the slope is:

s = (5 + 1)/(1 + 1) = 3

For segment CD the endpoints are (1, 2) and (5, 4), so the slope is:

s' = (4 - 2)/(5 - 1) = 2/4 = 1/2

So the slopes are different and their product is obviously not -1, then the lines are neither parallel nor perpendicular.

Learn more about slopes:

https://brainly.com/question/3493733

#SPJ1

a. Concentration at 0.05 mm away from the surface:  3.013 x\(10^{-13\) Concentration at 0.1 mm away from the surface:  6.882 x\(10^{-93\)

b. Amount of Co2 absorbed for 0.1 s:  2.87x \(10^{-5\)

Given that,

The pressure of the absorbed gas (Co₂): 101.32 kPa

First-order reaction rate constant (K'): 35

Diffusion coefficient of Co₂ in the buffer solution (DAB): 1.5 x \(10^{-5\) m²/s

Solubility of Co₂ in the buffer solution: 2.961 x  \(10^{-5\)  kmol/m³

Exposure time to the gas: 0.15 s

Now, let's proceed to solve the problem.

a. To calculate the concentration (C) at 0.05 mm and 0.1 mm away from the surface, we can use Fick's Law of Diffusion:

C = C0 exp(-DAB t / x²)

Where,

C₀ is the initial concentration of Co² in the buffer solution (solubility)

DAB is the diffusion coefficient

t is the exposure time to the gas (0.15 s)

x is the distance from the surface (0.05 mm or 0.1 mm)

For 0.05 mm:

C (0.05 mm) = (2.961 x  \(10^{-5\) ) exp(-1.5 x  \(10^{-5\)  0.15 / (0.05 x \(10^{-3\))²)

                    ≈   3.013 x\(10^{-13\)

For 0.1 mm:

C (0.1 mm) = (2.961 x  \(10^{-5\) ) exp(-1.5 x  \(10^{-5\) x 0.15 / (0.1 x 10^-3)^2)

                 ≈  6.882 x\(10^{-93\)

b. To calculate the amount of Co2 absorbed for 0.1 s, we can use the first-order reaction equation:

Amount absorbed = C₀ (1 - exp(-K' t))

Where,

C₀ is the initial concentration of Co₂ in the buffer solution (solubility)

K' is the first-order reaction rate constant (35)

t is the exposure time to the gas (0.1 s)

Amount absorbed = (2.961 x \(10^{-5\)) (1 - exp(-35 0.1))

                               ≈ 2.87x \(10^{-5\)

Hence,

The absorbed amount is approximately 2.87x \(10^{-5\).

To learn more about ficks law:

https://brainly.com/question/33379962

#SPJ4

Answer: The exact distance between the 2 points is √2, but the approximate distance is 1.41421356 (repeating decimal)

Hope this helped :D

Answer:

Hi po the answer is ab

Step-by-step explanation:

hope it help

Answer:

hope its help

Step-by-step explanation:

The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.

To find the steady-state solution of the heat conduction equation, follow these steps:

1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:

  q = -k * A * dT/dx,

  where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.

2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.

3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:

  q = -k * A * dT/dx = 0.

4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.

5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.

It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.

Know more about steady-state solution here:

https://brainly.com/question/15073499

#SPJ11

The mean of T is -10 and the standard deviation of T is √425 when X1 and X2 are independent.

To find the mean of T, we can use the properties of expected values. Since T = 11X1 - 2X2, the mean of T can be calculated as follows: E(T) = E(11X1) - E(2X2) = 11E(X1) - 2E(X2) = 11(10) - 2(20) = -10. To find the standard deviation of T, we need to consider the variances and covariance of X1 and X2. Since X1 and X2 are independent, the covariance between them is zero. Therefore, Var(T) = Var(11X1) + Var(-2X2) = 11^2Var(X1) + (-2)^2Var(X2) = 121(2^2) + 4(3^2) = 484 + 36 = 520. Thus, the standard deviation of T is √520, which simplifies to approximately √425. When X1 and X2 have a correlation of -0.76, the mean and standard deviation of T remain the same as in the case of independent variables. To calculate the probability P(T > 30) when X1 and X2 are independent, normally distributed variables, we need to convert T into a standard normal distribution. We can do this by subtracting the mean of T from 30 and dividing by the standard deviation of T. This gives us (30 - (-10))/√425, which simplifies to approximately 6.16.  We can then look up the corresponding probability from the standard normal distribution table or use statistical software to find P(T > 30). The probability will be the area under the standard normal curve to the right of 6.16.

Learn more about standard normal distribution here: brainly.com/question/32506784

#SPJ11

The phase of the moon that is most likely setting at 6 a.m. is the waning crescent.

If the moon is setting at 6 a.m., we can determine its phase based on its position in relation to the Sun and Earth.

Considering the options provided:

a. First quarter: The first quarter moon is typically visible around sunset, not at 6 a.m. So, this option can be ruled out.

b. Third quarter: The third quarter moon is typically visible around sunrise, not at 6 a.m. So, this option can be ruled out.

c. New: The new moon is not visible in the sky as it is positioned between the Earth and the Sun. Therefore, it is not the phase of the moon that is setting at 6 a.m.

d. Full: The full moon is typically visible at night when it is opposite the Sun in the sky. So, this option can be ruled out.

e. Waning crescent: The waning crescent phase occurs after the third quarter moon and appears in the morning sky before sunrise. Given that the moon is setting at 6 a.m., the most likely phase is the waning crescent.

Therefore, the phase of the moon that is most likely setting at 6 a.m. is the waning crescent.

for such more question on quarter

https://brainly.com/question/13604758

#SPJ8

Faye can sort 22,200 recyclable items in 444 minutes, based on the ratio shown in the double number line.

To determine how many recyclable items Faye can sort in 444 minutes, we need to use the ratio shown in the double number line. We can do this by finding the slope of the line, which is the ratio of the change in items to the change in time.

To find the slope, we start at the point (0,0) on the number line and move to the point (150,3). The change in items is 150 - 0 = 150, and the change in time is 3 - 0 = 3. Therefore, the slope is:

slope = change in items / change in time

slope = 150 / 3

slope = 50

This means that Faye can sort 50 recyclable items in one minute. To find out how many items she can sort in 444 minutes, we simply multiply the number of minutes by the rate of 50 items per minute:

items sorted = rate x time

items sorted = 50 x 444

items sorted = 22,200

To know more about number line here

https://brainly.com/question/16191404

#SPJ4

Because the sides are not raised correspondingly, PQRST is not an exact replica of ABCDE on a smaller size.

What is scaled copy?

If the same scale factor is applied to scaling each segment of the preimage or original image to determine the length of the corresponding segments of the scale copy or image, then one polygon is said to be a scaled copy of another polygon. All parts must be sized proportionally, in other words.

The numerous preimage segments of polygon PQRST, which is the new image of polygon ABCDE, are scaled using a variety of scale factors. Simply put, the sides of PQRST were not correspondingly increased. PQRST is not a scaled replica of ABCDE as a result.

To know more about the scaled copy, click on the link

https://brainly.com/question/17421952

#SPJ13

Answer:

Step-by-step explanation:

The best simulation to compute the probability of it taking at least four shirts to find a blue shirt would be a Monte Carlo simulation. This involves generating random numbers to simulate the selection of shirts and counting the number of simulations where it took four or more shirts to find a blue one. The probability can then be estimated based on the fraction of simulations where the criteria was met. Monte Carlo simulations are useful for problems involving randomness and probability, and they can provide a good estimate of the probability in this situation.

Answer:

55°

Step-by-step explanation:

complementario = add to 90°

90°-35°= 55°

To calculate the weight of the lead cylinder, we need to determine its volume first. The volume of a cylinder can be calculated using the formula: Volume = π * r^2 * h

Given that the diameter of the cylinder is 2 inches, the radius (r) is 1 inch. The height (h) is 4 inches.

Substituting these values into the formula, we get:

Volume = 3.14159 * 1^2 * 4

Volume = 12.56636 cubic inches

Now, to calculate the weight, we multiply the volume by the weight per cubic inch of lead:

Weight = Volume * Weight per cubic inch

Weight = 12.56636 * 0.04

Weight = 0.5026544 pounds

Therefore, the weight of the lead cylinder is approximately 0.5027 pounds.

To learn more about volume : brainly.com/question/28058531

#SPJ11

24-8 (difference) = 16

16/ 2 numbers = 8 is smallest number

8 + 8(difference) = 16 is largest number

The smaller number is 8

Step-by-step explanation:

everything can be found in the picture

The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

To learn more about median click here: brainly.com/question/300591

#SPJ11

Answer:

2(x - 12) = 16

Step-by-step explanation:

They each had $20 to spend.

Answer:

\(36m {}^{2} - 27mn - 10m + 2n\)

Step-by-step explanation:

Use distributive law.

Work with one bracket at a time.

Watch out for the signs!

Answer:

$500.000

Step-by-step explanation:

Lo que debemos hacer es calcular el porcentaje de devaluación del precio total del automóvil, es decir calcular el 20% de $2.500.000, y eso lo podemos hacer de la siguiente manera:

2500000*0.2 = 500000

Lo que quiere decir que el primer año el automóvil de devaluó en $500.000

Answer:

7 hours and 30 minutes

Step-by-step explanation:

\(240 \div 4 = 60km \: per \: h\)

\(450 \div 60 = 7.5 = 7h \: 30min\)

It will take motor bike 7.5 hours to cover 450 Km of distance.

Speed of a body is defined as the distance travelled by it per unit time taken to cover the distance.

Mathematically-

S = Δd/Δt  or   S = {d(2) - d(1)}/{t(2) - t(1)}

It is a scalar quantity as it only has magnitude and no direction.

Given is a motor bike travels 240 km ins 4 hours.

We can calculate the speed of the bike as -

s = 240/4 = 60 Km/hr

Then, the time taken to cover 450 Km will be -

t = 450/60

t = 7.5 hours

Therefore, it will take motor bike 7.5 hours to cover 450 Km of distance.

To solve more questions on Kinematics, visit the link below-brainly.com/question/17053454

#SPJ2

Answer:

0.1667 = 16.67% probability that they are both black.

Step-by-step explanation:

The balls are drawn without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

5 + 4 = 9 balls, which means that \(N = 9\)

4 are black, which means that \(k = 4\)

2 are chosen, which means that \(n = 2\)

What is the probability that they are both black?

This is P(X = 2). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,9,2,4) = \frac{C_{4,2}*C_{5,0}}{C_{9,2}} = 0.1667\)

0.1667 = 16.67% probability that they are both black.

Answer:

Adding or subtracting (depending on the missing sign) will eliminate the y term and make it easy to solve for x

Step-by-step explanation:

The first equation is missing a + or - sign

Regardless, it is easier to solve using elimination since the y coefficients are the same.

Adding or subtracting (depending on the missing sign) will eliminate the y term and make it easy to solve for x

The efficiency of µ^3 is [(n-2)^2]/(2n-1) relative to µ^2, and 2s^2/n relative to µ^1.

To show that each of the three estimators is unbiased, we need to show that their expected values are equal to µ, the true population mean.

For µ^1: E(µ^1) = E[.5(Y1+Y2)] = .5E(Y1) + .5E(Y2) = .5µ + .5µ = µ

For µ^2: E(µ^2) = E[.25Y1 + (Y2+...+Yn-1)/2(n-2) + .25Yn] = .25E(Y1) + (n-2)/2(n-2)E(Y2+...+Yn-1) + .25E(Yn) = .25µ + .75µ + .25µ = µ

For µ^3: E(µ^3) = E(Y bar) = µ, since Y bar is an unbiased estimator of µ.

Therefore, all three estimators are unbiased.

The efficiency of µ^3 relative to µ^2 is given by:

efficiency of µ^3/µ^2 = [(Var(µ^2))/(Var(µ^3))] x [(1/n)/(1/2(n-2))]^2

To find Var(µ^2), we can use the formula for the variance of a sample mean:

Var(µ^2) = Var(.25Y1) + Var[(Y2+...+Yn-1)/2(n-2)] + Var(.25Yn)

Since all Y's are independent and have the same variance s^2, we get:

Var(µ^2) = .25^2Var(Y1) + [1/(2(n-2))]^2(n-2)Var(Y) + .25^2Var(Yn) = s^2/4 + s^2/2(n-2) + s^2/4 = s^2/2(n-2) + s^2/2

Similarly, we can find Var(µ^3) = s^2/n.

Plugging these values into the efficiency formula, we get:

efficiency of µ^3/µ^2 = [s^2/(2(n-2) + n)] x [(2(n-2))/n]^2 = [(2(n-2))^2]/(2n(n-2)+n) = [(n-2)^2]/(2n-1)

The efficiency of µ^3 relative to µ^1 is given by:

efficiency of µ^3/µ^1 = [(Var(µ^1))/(Var(µ^3))] x [(2/n)/(1/n)]^2 = [s^2/(2n)] x 4 = 2s^2/n

To learn more about Efficiency :

https://brainly.com/question/15418098

#SPJ11

Answer:

D

Step-by-step explanation:

Each function needs to have a unique output... i.e: plugging in a value for x, you get a unique value of y. D is the only one where that occurs :)

Answer:

A

Step-by-step explanation:

A is the only one that has an x-value that has a unique y-value. C b and d have multiple x-values that have multiple y-values. For example, c has an x-value of 1 which has 2 outputs, which are 3 and 4.

Answer:

Option 2,4

Step-by-step explanation:

edge

Option 2: (x-1)

Option 4: (3x-2)

The expressions when multiplied that give the trinomial are (3x -2) and (x-1)

Trinomials are expressions that have three terms

The expression is given as:

\(3x^2 - 5x + 2\)

Expand

\(3x^2 -3x - 2x + 2\)

Factorize the expression

\(3x(x -1) + -2(x-1)\)

Factor out x - 1

\((3x -2)(x-1)\)

Hence, the expressions when multiplied that give the trinomial are (3x -2) and (x-1)

Read more about factorization at:

https://brainly.com/question/11579257

The required answer is equation of the line is y = -3x.

Explanation:-

To find the equation of the line passing through the points (0,0) and (3,-9), follow these steps:
1. Calculate the slope (m) of the line using the coordinates of the two points:
m = (y2 - y1) / (x2 - x1)
m = (-9 - 0) / (3 - 0)
m = -9 / 3
m = -3

2. Since the line passes through the origin (0,0), the y-intercept (b) is 0.

3. Use the slope-intercept form (y = mx + b) to write the equation of the line:
y = -3x + 0
The equation of the line passing through (0,0) and (3,-9) can be found using the slope-intercept form. First, find the slope using the formula: slope = (y2 - y1)/(x2 - x1) = (-9 - 0)/(3 - 0) = -3.
The equation of the line is y = -3x.

To know about slope . click the link.

https://brainly.com/question/30216543

#SPJ11