Which answers describe the shape below? Check all that apply.
A. Rhombus
B. Quadrilateral
O C. Trapezoid
O D. Parallelogram
O E. Rectangle
F. Square

To find the probability that the amount of pollutant in a given sample will exceed 1/2 for the smokestack with the filter installed, you need to determine the distribution of the pollutant levels and then calculate the probability based on that distribution.

To find the probability that the amount of pollutant in a given sample will exceed 1/2 when a filter is installed in the smokestack, we need to use the information provided in the question. However, we do not have any specific information on the distribution of the pollutant levels, so we cannot calculate the exact probability.
Instead, we can make some assumptions based on the purpose of the filter. Filters are typically installed to reduce the amount of pollutants emitted into the air, so it is reasonable to assume that the filter will decrease the amount of pollutant in each sample. Therefore, we can expect the probability of the pollutant level exceeding 1/2 to decrease when a filter is installed.
Without more information, we cannot give an exact probability, but we can say that it is likely lower than the probability without a filter. We would need to know more about the specific characteristics of the filter and the pollutant to make a more accurate estimate.

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Answer:

46

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\left[\begin{array}{ccc}2&8&1\\0&5&-2\end{array}\right]\) × \(\left[\begin{array}{ccc}0&1&-2\\8&2&4\end{array}\right]\) = "impossible"

The number of columns in the first matrix should be equal to the number of rows in the second.

Answer:

8x + 80

Step-by-step explanation:

positive side

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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Answer:

3/2

Step-by-step explanation:

if u divide two fractions, it is same as multiplying with its reciprocal

To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.



To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:

1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.

2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.

3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.

Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.

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The equation: n - 4 = -15

Now let's solve our equation for n.

n - 4 = -15

Add 4 to both sides.

n = -11

The objective function that has the same slope (parallel) as the given function $4x + 2y = 20 is

option d. $2x + $4y = $20.

To determine which objective function has the same slope as $4x + 2y = 20, we need to rearrange the given equation into slope-intercept form, y = mx + b, where m represents the slope. In this case, we have:

$4x + $2y = $20

$2y = -$4x + $20

y = -2x + 10.

By comparing this equation with the slope-intercept form, we can see that the slope is -2. Therefore, we need to find the objective function with the same slope. Among the options, option d, $2x + $4y = $20, has a slope of -2 since its coefficient of x is 2 and its coefficient of y is 4 (2/4 simplifies to -1/2, which is the same as -2/1). Thus, option d is the correct answer.

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Answer:

29

Step-by-step explanation:

5-4+6+22

1+6+22

7+22

29

a. Yes, the distribution of the number of cases of type II diabetes in the United States can be approximated by a Poisson distribution since it is a rare event and the number of cases is independent of each other.
b. The probability is calculated as P(X ≤ 10) = e^(-12) * 12^10 / 10!, which is approximately 0.112.
c. we can subtract the probability of X ≤ 10 from the probability of X ≤ 15. The probability is calculated as P(10 < X < 15) = P(X ≤ 15) - P(X ≤ 10) = e^(-12) * (12^11 / 11! + 12^12 / 12! + 12^13 / 13! + 12^14 / 14!) ≈ 0.215.
d. The probability of observing 19 or more cases can be calculated using the Poisson distribution formula, P(X ≥ 19) = 1 - P(X ≤ 18) = 1 - e^(-12) * (12^0 / 0! + 12^1 / 1! + ... + 12^18 / 18!) ≈ 0.0002, which is a very small probability.

a. The distribution of the number of cases of type II diabetes in the United States can be approximated by a Poisson distribution if the cases are rare, random, and independent events. Given the incidence rate of 12 per 100,000, it can be considered a rare event, and if we assume the cases are independent and random, we can approximate the distribution using a Poisson distribution. The mean (λ) is equal to the incidence rate, which is 12 cases per 100,000.

b. To find the probability that the number of cases of type II diabetes is less than or equal to 10 per 100,000, we need to calculate the cumulative probability for the Poisson distribution with λ = 12 and k = 10. This can be found using the formula:

P(X ≤ 10) = Σ [e^(-λ) * (λ^k) / k!] for k = 0 to 10

c. To find the probability that the number of cases of type II diabetes is greater than 10 but less than 15 per 100,000, we need to calculate the probability for the Poisson distribution with λ = 12 and k = 11, 12, 13, and 14. This can be found using the formula:

P(10 < X < 15) = Σ [e^(-λ) * (λ^k) / k!] for k = 11 to 14

d. To determine if we would expect to observe 19 or more cases of type II diabetes per 100,000 in the United States, we can find the probability of observing 19 or more cases using the Poisson distribution with λ = 12. This can be found using the formula:

P(X ≥ 19) = 1 - P(X ≤ 18) = 1 - Σ [e^(-λ) * (λ^k) / k!] for k = 0 to 18

If the probability is low (typically less than 0.05), then it would be unlikely to observe 19 or more cases of type II diabetes per 100,000 in the United States.

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Answer:3a ?

Step-by-step explanation:

Answer:

✈️?

Step-by-step explanation:

The standard deviation of a sample proportion is given by the formula:

σ = sqrt((p * (1 - p)) / n)

where σ is the standard deviation, p is the sample proportion, and n is the sample size.

If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:

(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)

To simplify the equation, we can square both sides:

((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100

Simplifying further:

100 * n^2 = 4 * 1

n^2 = (4 * 1) / 100

n^2 = 0.04

Taking the square root of both sides:

n = sqrt(0.04)

n = 0.2

Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.

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Answer:

=12x+y

Step-by-step explanation:

Combine like terms

=5x+-3y+7x+4y

=(5x+7x)+(-3y+4y)

=12x+y

Answer:

12x + y

Step-by-step explanation:

(5x - 3y) + (7x + 4y)

-you need to distribute a 1 from the  1(7x + 4y) and drop the 5x - 3y

5x - 3y + 7x + 4y

- combine like terms

5x + 7x = 12x   &   -3y + 4y = 1y or just y

12x + y

Answer:

0.3125

Step-by-step explanation:

in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.

Answer:

0.3125

Step-by-step explanation:

The decay rate for the resale price of laser cutting tool will be -121000\(e^{-0.22t}\)

Let R is the resale value of a particular type of laser cutting tool after years

Where, R(t) = 550000\(e^{-0.22t}\)

Rate at which the resale value is changing will be dR/dt = 550000\(e^{-0.22t}\)(-0.22)= -121000\(e^{-0.22t}\)

Initial value of the laser cutting tool, at time ‘t’ =0 will be 550000\(e^{-0.22t}\)x0 = 550000

At time ‘t’ resale value is 550000 \(e^{-0.22t}\)

Therefore, the decay in resale price = 550000 - 550000 \(e^{-0.22t}\)

Therefore, the decay rate = (550000 - 550000 \(e^{-0.22t}\))/t = 550000(1-\(e^{-0.22t}\))/t

As we have dR/dt = R’ = -121000\(e^{-0.22t}\)

Therefore, R’(10) = -121000\(e^{-2.2}\) = -13407.18

Therefore, after 10 years the resale price will be -13407.18

R’(20) = -121000\(e^{-4.4}\)= -1485.55

Therefore, after 20 years the resale price will be -1485.55

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Answer: -7.3

Step-by-step explanation: Dario is incorrect.

To get the sum we need to add both the numbers

-8.5+1.2=-7.3

Answer:

1/3 degreees/min

Step-by-step explanation:

In 15 min, temp. rises by 10 degrees

This means that 10 degrees / 15 min = 2 deg / 3 min

1/3 degree/min

The unit rate of change in °F per minute is 0.667°F/ min .

An equation is a statement formed when variables are equated by a constant or another variable by an equal sign.

It is given that

The rate of increase of temperature with increasing time is given

The unit rate of change in °F per minute has to be determined .

In 15 minutes , the temperature changes by  10°F

The rate of unit change is 10 / 15 = 0.667

20/30 = 0.667

40/60 = 0.667

Therefore the unit rate of change in °F per minute is 0.667°F/ min .

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Answer:

A and B are correct

Step-by-step explanation:

A)

Regular price=$24.30

Markdown=15%

Markdown Price=$24.30 * 15%

Markdown price=$3.645

Sale Price=$24.30-$3.645

Sale Price=$20.66

B)

Regular price=$66.50

Markdown=15%

Markdown price=$66.50 * 15%

Markdown price=$9.975

Sale Price=$66.50-$9.975

Sale Price=$56.53

If you need to ask any question, please let me know.

The tenth position is the one that goes after the decimal point.

To round a number, you have to take into account the following:

1. If the number that goes after the position we are going to round to is greater than 5, we round to the next number in that position.

2. If the number that goes after the position we are going to round to is less than 5, we round to the same number in that position.

In this case, the number that is on the tenth's position is 4. The number that is after this position is 1, which is less than 5, then we round the number in this positon to 4.

The rounded number would be:

Answer:

The answer is C.

Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.

Answer:

\(\frac{1}{2} \sqrt{2+\sqrt{3}\)

Step-by-step explanation:

just took the test

The volume of the cone is 64π

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

Height, h = 12 m

Radius, r = 4 m

The volume is calculated s

V = 1/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 1/3π * 4² * 12

Evaluate

V = 64π

Hence, the volume is 64π

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