In a roll of two fair dice, find the probability of getting a
sum of at least 9. (Set up only)

Answer:

if you're trying to find the x and y intercepts x is (-4/5,0)

Answer:

5 Hours

Step-by-step explanation:

The sample size in systematic sampling, the population size is divided by the sample size. The result is the sampling interval, which is used to pick the items that will make up the sample.

The sampling method is systematic sampling. In a study, the sample is chosen by testing every 100th quart of ice cream off the assembly line for taste and consistency.

Sampling method: Systematic Sampling: It is a sampling method in which every nth item in the target population is selected to be part of the sample, where n is a fixed number called the sampling interval. Systematic sampling is a type of non-probability sampling in which an organization selects every nth item from a sampling frame or list, with the aim of acquiring a representative sample of the population concerned.

The formula used for systematic sampling is k = N/n.

Where k is the sampling interval,

N is the population size, and

n is the sample size.

To find the sample size in systematic sampling, the population size is divided by the sample size. The result is the sampling interval, which is used to pick the items that will make up the sample.

for such more question on sampling method

https://brainly.com/question/16587013

#SPJ11

The area of the of the triangle to the nearest whole number is 140mm²

The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.

The formula for the area of a triangle is: A = (1/2)bh

where A is the area of the triangle, b is the base of the triangle, and h is the height of the triangle.

The area of the triangle given in the figure will be 1/2 * b*h

A = 1/2*14*20

A = 140mm²

Hence the area of the triangle to the nearest whole number is 140mm².

Learn more about triangles, by the following link

brainly.com/question/17335144

#SPJ1

The height of the cone is increasing at a rate of 16/9 units per second when the volume is 12 pi cubic units and the radius is 3 units.

To find the rate at which the radius is changing when the volume of the cone is 12 pi cubic units and the radius is 3 units, we can use related rates.

Given:
- Volume rate of change: dv/dt = 28 pi cubic units per second
- Radius: r = 3 units
- Volume: V = 12 pi cubic units
- Radius rate of change: dr/dt = 1/2 unit per second

We can use the formula for the volume of a cone: V = (1/3) pi r^2 h, where h is the height of the cone.

Since we only have the radius, we need to find the height in order to calculate the rate of change of the radius.

Given that the radius is 3 units, we can use the formula for the volume to solve for the height:
12 pi = (1/3) pi (3^2) h

Simplifying the equation, we get:
12 = (1/3) * 9 * h
h = 12 / (1/3 * 9)
h = 4

Now, we can differentiate the volume equation implicitly with respect to time (t) to find the relationship between the volume and radius rates of change:

dV/dt = (1/3) pi * (2r * dr/dt) * h + (1/3) pi * r^2 * dh/dt

Plugging in the given values:
28 pi = (1/3) pi * (2 * 3 * (1/2)) * 4 + (1/3) pi * (3^2) * dh/dt

Simplifying the equation, we get:
28 = 12 + 9 * dh/dt
dh/dt = (28 - 12) / 9
dh/dt = 16/9

Learn more about radius here :-

https://brainly.com/question/12923242

#SPJ11

Applying law of sine and law of cosine, the unknown values x and y are 16.2 units and 37.1 degrees respectively.

To determine the value of x and y in the given triangle, we can use law of sine or law of cosine depending on the variables available and what we need to determine.

Applying law of cosine;

x² = 15² + 10² - 2(15)(10)cos78

x² = 225 + 100 - 300cos78

x² = 225 + 100 - 62.4

x² = 262.6

x = √262.6

x = 16.2 units

From this, we can apply law of sine to determine y;

x / sin X = y / sin Y

Substituting the values into the formula above;

16.2 / sin78 = 10 / sin y

Cross multiply both sides and solve for y;

16.2siny = 10sin78

sin y = 10sin78 / 16.2

sin y = 0.6038

y = sin⁻¹ (0.6038)

y = 37.14°

Learn more on law of sine here;

https://brainly.com/question/30401249

#SPJ1

Answer:

60

Step-by-step explanation:

f(6) = 60

the Taylor polynomial T3(x) for the function f(x) = x\(e^{(-5x)}\)centered at a = 0 is T3(x) = 1 + 0.25\(x^{2}\) - 0.0083\(x^{3}\)

To find the Taylor polynomial T3(x) for the function f(x) = x\(e^{(-5x)}\)centered at a = 0, we need to find the first four derivatives of f(x) and evaluate them at x = 0:

f(x) = x\(e^{(-5x)}\)

f'(x) = \(e^{(-5x)}\) - 5x\(e^{(-5x)}\)

f''(x) = 25x\(e^{(-5x)}\) - 20\(e^{(-5x)}\)

f'''(x) = -125x\(e^{(-5x)}\) + 75\(e^{(-5x)}\)

f''''(x) = 625x\(e^{(-5x)}\) - 500\(e^{(-5x)}\)

Now, we can write the Taylor polynomial T3(x) as:

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) + (f'''(0)/3!)\(x^{3}\)

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) + (f'''(0)/3!)\(x^{3}\)

T3(x) = f(0) = 0 + f'(0)x = \(e^{0}\) × 1 - 5 × 0 × \(e^{0}\) = 1

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) = 1 + 0.25\(x^{2}\)

T3(x) = f(0) + f'(0)x + (f''(0)/2!)\(x^{2}\) + (f'''(0)/3!)\(x^{3}\) = 1 + 0.25\(x^{2}\) - 0.0083\(x^{3}\)

Therefore, the Taylor polynomial T3(x) for the function f(x) = x\(e^{(-5x)}\)centered at a = 0 is T3(x) = 1 + 0.25\(x^{2}\) - 0.0083\(x^{3}\)

to know more about polynomial

brainly.com/question/11536910

#SPJ1

The probability that a student who applies for early admission is admitted early is 0.366 (rounded to 4 decimal places). The probability that a student is rejected outright is 0.303. The probability that a student is deferred to the regular admissions pool is 0.327.

The probability that a student is admitted early is calculated by dividing the number of students admitted early by the total number of early applicants. In this case, 1,033 students were admitted early out of 2,851 early applicants, so the probability is 0.366.

The probability that a student is rejected outright is calculated by dividing the number of students rejected outright by the total number of early applicants. In this case, 854 students were rejected outright out of 2,851 early applicants, so the probability is 0.303.

The probability that a student is deferred to the regular admissions pool is calculated by dividing the number of students deferred by the total number of early applicants. In this case, 964 students were deferred out of 2,851 early applicants, so the probability is 0.327.

Events E (admitted early) and D (deferred) are not mutually exclusive because a student can be deferred and later admitted during the regular admission process. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. This means that some students who were deferred early were eventually admitted to the school. Therefore, it is possible for a student to be both admitted early and deferred.

To learn more about probability click here : brainly.com/question/31828911

#SPJ11

Assuming that the iron plate is lifted to a height against the gravitational force, we can use the formula for potential energy:

Potential Energy = mass x gravity x height

where mass is in kg, gravity is 9.81 m/s^2, and height is in meters.

Rearranging the formula to solve for height, we have:

height = Potential Energy / (mass x gravity)

Plugging in the given values, we have:

height = 2000 J / (10 kg x 9.81 m/s^2)

height = 20.34 meters (rounded to two decimal places)

Therefore, the height of the iron plate is approximately 20.34 meters.

The circumference of the circle is 26.38 inches and the area of the circle is 55.39 square inches, both rounded to the nearest hundredth.

The diameter of a circle is the distance across the circle passing through its center. In this problem, the diameter of the circle is given as 8.4 inches. We can use the formula for the circumference and the area of a circle in terms of its diameter to find the solutions.

First, we can find the radius of the circle by dividing the diameter by 2. So, the radius is 8.4/2 = 4.2 inches.

To find the circumference of the circle, we can use the formula:

C = πd

where d is the diameter. Substituting the value of d = 8.4 inches and π = 3.14, we get:

C = 3.14 x 8.4 = 26.376

Therefore, the circumference of the circle is 26.38 inches (rounded to the nearest hundredth).

To find the area of the circle, we can use the formula:

A = πr²

where r is the radius. Substituting the value of r = 4.2 inches and π = 3.14, we get:

A = 3.14 x (4.2)² = 55.3896

Therefore, the area of the circle is 55.39 square inches (rounded to the nearest hundredth).

Learn more about the circumference and area at

https://brainly.com/question/17130827

#SPJ4

Answer:

The answer would be -3/4

Step-by-step explanation:

Those points are stated using the normal X-Y coordinate system, in which +X is to the right, and +Y is up.  Slope is calculated by subtracting the beginning point from the final.  The final point will be the one with the highest X value,

The slope is  the change in Y over the change in X.

m = (0 - 3) / (0 - (-4)) = -3 / +4 = -0.75

-0.75= -3/4

dont forget to put a thanks and rate it ^-^

The reliability function is a useful tool for modeling the probability of failure of a system over time. And the probability of failure within 400 hours is approximately 14%.

The reliability function is a common tool used to model the probability of failure of a system over time. In this case, we will use an exponential distribution to model the failure rate of a light bulb.

Assuming an exponential distribution, a particular light bulb has a failure rate of 0.002. The failure rate is the average number of failures per unit of time. The exponential distribution has the property that the probability of failure is proportional to the length of time the system has been in operation.

The reliability function for an exponential distribution is given by R(t) = e^(-λt), where λ is the failure rate. The reliability function gives the probability that the system will still be functioning after t units of time.

So, the probability of failure within 400 hours is given by 1 - R(400), where R(400) is the reliability function evaluated at 400 hours.

1 - R(400) = 1 - e^(-0.002 * 400) = approximately 0.14

So, the probability of failure within 400 hours is approximately 14%.

By assuming an exponential distribution, the reliability function is given by R(t) = e^(-λt), where λ is the failure rate. In this case, the reliability function can be used to calculate the probability of failure within a given time period, such as 400 hours for the light bulb.

For more such questions on Exponential distribution.

https://brainly.com/question/28256132#

#SPJ11

In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.

To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.

To know more about average visit :-

https://brainly.com/question/8501033

#SPJ11

Answer:

Step-by-step explanation:

1) G = 6x , for x:                G/6

2) U = 2x - 2 , for x:          (1/2)U + 1

3) Z = m - x , for x:              m - Z

4) G = ca , for a:                   G/c

5) U = x - k , for x:                  U + k

6) G = c + x , for x:                G - c

7) U = k/a , for a:                    k/U

8) g = xc , for x:                     g/c

9) 12 am = 4 , for a:                 a = 1/(3m)

10) -3 x + 2c = - 3 , for x:         x = 1 +(2/3)c

11) am = n + p , for a:              (n+p)/m

12) U = ak/b , for a:                      U(b/k)

13) a - c = d - r , for a:                      a = d - r + c

14) xm = np , for x:                np/m

The evaluations are:

f(−3) = 9
f(−2) = 4
f(0) = 4
f(2) = 6
f(3) = 7

To evaluate the given piecewise defined function at the indicated values, we need to substitute the given values into the corresponding parts of the function.

Let's evaluate f(−3) first. Since −3 is less than 0, we use the first part of the function f(x)={x^2 if x<0}. Therefore, substituting x = −3 into the function, we get:
f(−3) = (−3)^2 = 9

Next, let's evaluate f(−2). Again, −2 is less than 0, so we use the first part of the function:
f(−2) = (−2)^2 = 4

Moving on to f(0), we see that 0 is not less than 0, so we use the second part of the function f(x)={x+4 if x≥0}. Substituting x = 0 into the function, we get:
f(0) = 0 + 4 = 4

Now, let's evaluate f(2). Since 2 is greater than or equal to 0, we use the second part of the function:
f(2) = 2 + 4 = 6

Finally, let's evaluate f(3). Again, 3 is greater than or equal to 0, so we use the second part of the function:
f(3) = 3 + 4 = 7

So, the evaluations are:
f(−3) = 9
f(−2) = 4
f(0) = 4
f(2) = 6
f(3) = 7

Know more about piecewise here:

https://brainly.com/question/28225662

#SPJ11

In general, higher confidence levels provide wider confidence intervals.

What is the concept of confidence level and confidence interval?

Confidence level:

The confidence level refers to the long term success rate of the method , that is , how often this type of interval will capture the parameter of interest.

Confidence interval:

A specific confidence interval gives a range of plausible values for the parameter of interest.

As the confidence level increases, the width of confidence interval also increases.

A larger confidence level increases the chance that the correct value will be found in the confidence interval. This means the interval is larger.

Learn more about confidence level and interval using link :

https://brainly.com/question/15712887

#SPJ1

The percentage of her commission from the sales was 2.2%

percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Commission = $58,399

sales = $2,654,500

Percentage commission = \(\frac{commission}{sales}\) x 100%

Percentage commission = \(\frac{58399}{2654500}\) x 100%

Percentage commission = 2.2%

In conclusion, the percentage commission is 2.2%

Learn more about percentage: https://brainly.com/question/19247356

#SPJ1

Answer:

The Trout will have to jump 49 cm in order to catch the insect

Step-by-step explanation:

Here, we want to calculate the distance the Trout has to jump in order to catch the Insect

To calculate this, we need to know the difference in the distances

From what we have, the Trout is 32 cm below the surface while the Insect is 17 cm above the surface of the lake

The difference in height which will represent the distance that the Trout has to jump to catch the insect will be ;

17 + 32 = 49 cm

Answer:

((-5) - (-7) - (-3)) x (-10) = -50

Step-by-step explanation:

Answer:

Step-by-step explanation:

14%  increase

The coordinates of the image of point D are (- 6, - 4) and a representation  of the rigid transformation is shown in the picture attached below.

Herein we find the location of point D, which is set on Cartesian plane and must be modified by the use of a rigid transformation known as dilation. The general definition of the dilation rule is defined below:

D'(x, y) = O(x, y) + k · [D(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (0, 0), D(x, y) = (- 3, - 2) and k = 2, then the coordinates of the image are:

D'(x, y) = (0, 0) + 2 · [(- 3, - 2) - (0, 0)]

D'(x, y) = (- 6, - 4)

Now we proceed to present the location of the image on the Cartesian plane.

To learn more on dilations: https://brainly.com/question/13176891

#SPJ1

Answer:

It woule be c and d, so a)

Step-by-step explanation:

Only a and b are functions.

Answer:

y=3

Step-by-step explanation:

Answer:

El libro que Renzo está leyendo tiene 300 páginas.

Step-by-step explanation:

Dado que Renzo ha leído el 20 por ciento del libro de cuentos, en principio le queda leer el 80 por ciento de éste. Ahora bien, de las páginas restantes (es decir, de ese 80 por ciento) ha leído 1/4 parte. Por ende, ha leído un 20 por ciento adicional de dicho libro (80 /4 x 1 = 20). En conclusión, Renzo lleva leído un 40 por ciento del libro, con lo cual le resta leer un 60 por ciento, que está formado por 180 páginas. Para determinar cuántas páginas tiene el libro, entonces, hay que realizar el siguiente cálculo:

180 / 60 = 3 (valor del 1 por ciento del libro)

3 x 100 = 300 (valor del 100 por ciento del libro)

Por lo tanto, el libro que Renzo está leyendo posee 300 páginas.

Answer:

AINT NOBODY CARES ABOUT SCHOOL

but the amount they spent each month was 145$

Step-by-step explanation:

9490 is the answer but just work it out see if u can get it

Answer:

3.09

Step-by-step explanation:

Think of it as a dollar if you had 9 cents it’s 0.09 then add the 3 to get your answer

Answer:

Step-by-step explanation:

Given:

Total surface area: