HELP ASAP WILL MARK BRAINLIEST

1. The probability of selecting exactly one tank with high-viscosity material is 0.

2. The probability of selecting at least one tank with high-viscosity material is 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is 0.25.

1. The probability of selecting exactly one tank with high-viscosity material is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 4, x = 1, and p = 24/24 = 1. Therefore, P(X = 1) = (4C1)1^1(1-1)^4-1 = 0.

2. The probability of selecting at least one tank with high-viscosity material is calculated by the complement rule, P(X > 0) = 1 - P(X = 0). In this case, P(X > 0) = 1 - (4C0)1^0(1-1)^4-0 = 1.

3. The probability of selecting exactly one tank with high-viscosity material and exactly one tank with high impurities is calculated by the binomial distribution formula, P(X = n) = (nCx)p^x(1-p)^n-x, where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 2, and p = 24/24 = 1. Therefore, P(X = 2) = (8C2)1^2(1-1)^8-2 = 0.25.

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In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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In the following question, among the conditions given, It can be given by Ymax = H(N*)So the maximum sustainable yield for a population governed by a Gompertz model and subjected to harvesting (either constant yield or constant effort) can be calculated using the above formula.

To find the maximum sustainable yield for a population governed by a Gompertz model and subjected to harvesting (either constant yield or constant effort) we will start with the formula of the Gompertz model that is, IN = r Nlog(K)Solution: Given that the population is governed by a Gompertz model = r Nlog(K)We know that the harvesting term that is responsible for the overexploitation of the resources, hence we can write the Gompertz model as dN/dt = rN[1 - N/K] - H(x)WhereH(x) can be a constant yield or constant effort in the harvesting term.

To find the maximum sustainable yield, we will use the concept of steady-state or equilibrium population level. Steady-state condition:dN/dt = 0Solving this equation gives us the steady-state population level, say N*.Now we need to calculate the maximum amount of resources that can be harvested sustainably. This maximum amount of resources harvested sustainably is called the maximum sustainable yield (MSY). It can be given by Ymax = H(N*)So the maximum sustainable yield for a population governed by a Gompertz model and subjected to harvesting (either constant yield or constant effort) can be calculated using the above formula.

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Answer:

-48

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

In 2 hours they wash 8 cars total so...

8

16

24

The extra time is 15 mins for 2 cars

a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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(a)Given differential equation is:d²y/dt² + 6 dy/dt +9y = cos t Where y(0)=1 and y′(0)=2.Let’s take the Laplace transform of both sides of the equation:d²y/dt² + 6 dy/dt +9y = cos tLaplace transform of the above equation is:L{d²y/dt²}+6L{dy/dt}+9L{y}=L{cos t} Where L{y}= Y(s), L{dy/dt}= sY(s)-y(0) and L{d²y/dt²}= s²Y(s) -sy(0)-y'(0) Laplace transform of the given function cos(t) is given by:L{cos t} = s/(s² + 1)

Therefore, the Laplace transform of the given differential equation is:s²Y(s)-sy(0)-y'(0)+6(sY(s)-y(0))+9Y(s)=s/(s²+1)Substituting y(0)=1, y′(0)=2, and solving for Y(s), we get:Y(s) = (s+1)/(s²+4s+8)(b)We have, Y(s) = (s+1)/(s²+4s+8)Let’s factorize the denominator of the above equation by completing the square:s²+4s+8 = (s+2)²+4Therefore,Y(s) = (s+1)/( (s+2)²+4)Let's first use a table of Laplace transforms and take the inverse Laplace transform of Y(s), we get:y(t) = e^{-2t} (cos2t - sin2t) + e^{-2t} + (1/2)cos(t)Therefore, the functions of time that will appear in the solution are e^{-2t}, cos2t, sin2t and cos(t).

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Answer:

\(\dfrac{1}{729}\)

Step-by-step explanation:

\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)

First, we should evaluate inside the large parentheses:

\((-3)^2 = (-3)\cdot (-3) = 9\)

We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,

\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)

       ↑1 ↑2 ↑3 times because the exponent is 3

Next, we can put the value 9 into where \((-3)^2\) was originally:

\((9)^{-3}\)

We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,

\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)

Finally, we can apply this principle to the \(9^{-3}\):

\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)

The correct choice is (e) All of the above is a property for all LP problems.

All Linear Programming (LP) problems have a linear objective function that is to be maximized or minimized (property a), a set of linear constraints (property b), and decision variables (property c). Additionally, LP problems require variables that are all restricted to nonnegative values (property d). Therefore, all of the given properties are true for all LP problems, making option (e) the correct choice.

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Answer:

168

Step-by-step explanation:

If entire number of attendees = y

then number of women = y* (72/100)

since y* (72/100) = 432 ( given)

y =( 432*100)/72

so, y = 600

since men made up the remaining 28% of attendees ,

number of men = y * (28/100) = 600* (28/100)

number of men = 168

The answer of the given question based on the cylinder is ,  the volume of the solid = 929.44  inch³ . , the mistake is student may have only calculated the volume of the inner cylinder.

Volume is amount of three-dimensional space occupied by object or substance. It is a physical quantity that is measured in cubic units, such as cubic meters (m³), cubic centimeters (cm³), or cubic inches (in³). The volume of an object can be calculated by measuring its dimensions and using a mathematical formula specific to its shape.

To find volume of  solid, we need to subtract  volume of  inner cylinder from  volume of outer cylinder.

Volume of the outer cylinder = πr²h

where r = radius of the outer cylinder = 4 inches (diameter is given as 8 inches)

h = height of the outer cylinder = 23 inches

Volume of the outer cylinder = π(4)²(23) = 368π in³

Volume of the inner cylinder = πr²h

where r = radius of the inner cylinder = 2 inches

h = height of the inner cylinder = 18 inches

Volume of the inner cylinder = π(2)²(18) = 72π in³

So, the volume of the solid = Volume of the outer cylinder - Volume of the inner cylinder

= 368π - 72π

= 296π

= 929.44  inch³

The student's answer of 988.05 in³ is significantly higher than the correct answer, suggesting that the student may have only calculated the volume of the inner cylinder instead of subtracting it from the volume of the outer cylinder. This mistake may have arisen due to misreading the problem or misunderstanding the instructions.

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The standard deviation of the sample proportion obtained from random samples of size 900 is 0.014846.

To find the standard deviation of the sample proportion obtained from random samples of size 900, we can use the formula:

standard deviation = square root of (p * (1 - p) / n)

where p is the proportion of the population with the characteristic of interest (in this case, p = 0.35), and n is the sample size (in this case, n = 900).

Plugging in the values, we get:

standard deviation = square root of (0.35 * (1 - 0.35) / 900)

standard deviation = square root of (0.00022025)

standard deviation = 0.014846

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Answer:

12t

Step-by-step explanation:

\(3 \times 4t = 12t\)

Answer:

Step-by-step explanation:

Omg wow!!

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Answer:

B) 12

Step-by-step explanation:

(9y + 7)° + (7y - 19)° = 180° (interior angles in the same side of transversal)

(9y + 7 + 7y - 19)° = 180°

(16y - 12)° = 180°

16y - 12 = 180

16y = 180 + 12

16y = 192

y = 192/16

y = 12

Answer:

9y+7=7y-19

7+19=7y-9y

26=-2y

26/-2=-2y/-2

y=-13

I hope this helps:

This is linear algebra If A is an n X n diagonalizable matrix, then each vector in Rn can be written as a linear combination of eigenvectors.

It is the TRUE statement.

If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\) By the Basis Theorem, the set of these eigenvectors spans \(R^n\).

We have to check the given statement is true or false.

Now, According to the question:

It is True statement. If A is diagonalizable, then A has n linearly independent eigenvectors in \(R^n\). By the Basis Theorem, the set of these eigenvectors spans \(R^n\). This means that each vector in \(R^n\) can be written as a linear combination of the eigenvectors of A.

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Answer:

Option 1 I took the test

Step-by-step explanation:

on

Answer:

D

Step-by-step explanation:

When you translate a point down you're just moving 2 units down. When it's reflected across the y or x axis, it'll be like a mirror.

Answer:

B 2208cm squared

you follow this formula

A=2(wl+hl+hw)

w means width

l means length

h means height

input the numbers and you got your answer.

Hope this helped ;)

Answer:5760 cm2

Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2

Answer:

Area = πr2 - pie x radius2

Circumference = 2πr 2pie x radius

Step-by-step explanation:

Answer:

The median is 2 lower quartile is 11 and upper quartile is 6

Step-by-step explanation:

hope this helps

The expected winning and the value of that prize, which gives an expected winning is c. $3.13 per ticket.

The expected winnings per ticket in the raffle can be calculated by adding the products of the probability of the expected value of winning each prize. The predicted wins per ticket may be computed as the total of each prize's value multiplied by its probability of winning, i.e.

Expected winnings per ticket

= (1/800) × $400 + (4/800) × $200 + (12/800) × $125 + (30/800) × $60 + (753/800) × $0

If we condense the equation, we obtain:

Calculating the total wins anticipated per ticket

= $0.50 + $1.00 + $1.88 + $0.75 + $0

Expected winnings per ticket = $3.13

Therefore, if you buy a ticket, the expected winnings per ticket are $3.13.

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Complete question:

For a fundraiser, there is a raffle with 800 tickets, each costing $15. 1 ticket will win a $400 prize, 4 tickets will win a $200 prize, 12 tickets will win a $125 prize, 30 tickets will win a $60 prize, and the remaining tickets will win nothing. if you buy a ticket, what are the expected winnings per ticket? question options:

a) $5.36

b) $5.63

c) $5.33

d) $5.66

The answer is 4 hours 50 minutes using distance.

What is distance in math?

As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.

Time Richard boarded the bus - 21:30

Time Richard reached Yong Peng - 02:20

Total time his journey take:

21:30 to 00:00 i.e 2:30 hours

    and

2:00:00 to 02:20 i.e 2:40 hours

Sum of both parts = 2:30 hours + 2:20 hours

                               = 4:50 hours

Richard's journey took 4 hours 50 minutes

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The width of the round cake needs to be approximately 15.63 inches to keep the same volume as the rectangular prism cake.

To keep the same volume when changing the shape of the cake from a rectangular prism to a round cake with a fixed height of 3 inches, we need to find the width of the round cake.

The volume of the rectangular prism cake is given by:

Volume = Length * Width * Height

Substituting the given values:

Volume = 16 inches * 12 inches * 3 inches

The volume of a round cake can be calculated using the formula for the volume of a cylinder:

Volume = π * radius^2 * Height

We want to keep the height at 3 inches, so the equation becomes:

Volume = π * radius^2 * 3 inches

To keep the same volume as the rectangular prism cake, we can equate the two volume expressions:

16 inches * 12 inches * 3 inches = π * radius^2 * 3 inches

Simplifying, we can cancel out the common terms:

16 inches * 12 inches = π * radius^2

Dividing both sides by π:

(16 inches * 12 inches) / π = radius^2

Taking the square root of both sides to solve for the radius:

radius = √[(16 inches * 12 inches) / π]

Now, to obtain the width of the round cake, we can double the radius since the radius represents half the width:

Width of round cake = 2 * radius

Width of round cake = 2 * √[(16 inches * 12 inches) / π]

Width of round cake ≈ 2 * √[(192 inches^2) / π]

Width of round cake ≈ 2 * √(61.211)

Width of round cake ≈ 2 * 7.815

Width of round cake ≈ 15.63 inches (rounded to two decimal places)

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Answer:

\(f(4)=76\)

Step-by-step explanation:

Substitute \(x=4\) into the given function:

\(f(4)=4^3+4^2-4\)

Evaluate the powers:

\(f(4)=64+16-4\)

Calculate the value:

\(f(4)=76\)

Answer:

y=20

Step-by-step explanation:

-3y+12=-48

-12     -12

________________

-3y=-60

÷-3    ÷-3

___________________

y=20

I hope this helps :D

Answer:

both x and y are -2 in this case

The confidence interval has a lower limit of 0.968 and an upper limit of 0.987. The margin of error is 0.009. The sample does provide evidence that this proportion has changed since 2017, since the sample provides strong evidence to suggest that there is a difference in the proportion of taxpayers who filed electronically in 2017 and 2018.

A)To estimate the actual proportion of taxpayers who filed electronically in 2018, the formula is:

\($$\left(\hat{p}-z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}, \hat{p}+z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right)$$\)

Where: \($\hat{p}$\) is the sample proportion, \($z_{\alpha/2}$\) is the z-score corresponding to the level of confidence which is 90%.

In this case, n is the sample size of taxpayers who filed electronically in 2018 and is 3200.

The sample proportion who filed electronically in 2018 is:

\($\hat{p}=\frac{x}{n} =\frac{3128}{3200}=0.9775$\)

Using the formula:

\($$\left(\hat{p}-z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}, \hat{p}+z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right)$$\\$$\left(0.9775-1.645 \sqrt{\frac{0.9775(1-0.9775)}{3200}}, 0.9775+1.645 \sqrt{\frac{0.9775(1-0.9775)}{3200}}\right)$$\\$$\left(0.968, 0.987\right)$$\)

This is the confidence interval.

B)The margin of error is given by the formula:

\($$m=z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$\)

Where m is the margin of error, \($\hat{p}$\) is the sample proportion, \($z_{\alpha/2}$\) is the z-score corresponding to the level of confidence which is 90%

In this case. n is the sample size of taxpayers who filed electronically in 2018 and is 3200.

Using the formula:

\($$m=z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$\\$$m=1.645 \sqrt{\frac{0.9775(1-0.9775)}{3200}}$$\\$$m=0.009$$\).

C)To determine if there is any evidence that this proportion has changed since 2017 based on this sample, we can perform a hypothesis test at 5% significance level. The null hypothesis is that there is no difference in the proportion of taxpayers who filed electronically in 2017 and 2018 and the alternative hypothesis is that there is a difference.The proportion of taxpayers who filed electronically in 2017 is not given.

However, we can assume that it is the same as the 2018 proportion of 0.9775. The total number of taxpayers for 2017 is also not given, however we can assume it is the same as for 2018, which is 3200.The expected frequency of taxpayers who filed electronically in 2017 and 2018 can be calculated as follows:

\($$\begin{array}{|c|c|c|c|} & \text{2017} & & \text{2018}\\\text{Filed electronically} & 3128 & 3200 & 6328\\\text{Did not file electronically} & 72 & 0 & 72\\\ & 3200 & 3200 & 6400\\\end{array}$$\)

Using the formula:

\($$\chi^2=\sum \frac{\left(O_i - E_i\right)^2}{E_i}$$\\$$\chi^2=\frac{(3128-3200)^2}{3200}+\frac{(72-0)^2}{72}$$\\$$\chi^2=10.22$$\)

The degree of freedom is 1 and the critical value of \($\chi^2$\) at 5% level of significance is 3.84 since df=1. Since the calculated value of $\chi^2$ (10.22) is greater than the critical value of \($\chi^2$\) (3.84), we reject the null hypothesis.

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