During a senate campaign, a volunteer passed out a "vote for roth" button. according to the catalog from which the button was ordered, it has a circumference of 25.12 centimeters. what is the button's area?

The probability that the time between two successive accidents at that mill is more than 20days is 0.4493.

At a paper mill, the interval between two accidents that occur back-to-back has an exponential distribution with a mean of 15 days.

The cumulative distribution function (CDF) of the exponential distribution can be used to calculate the likelihood that the interval between two consecutive accidents will be longer than 20 days:

P(X > x) = \(e^{-\lambda x}\)

where x is the time of interest, X is a random variable reflecting the interval between two successive accidents, and is the exponential distribution's rate parameter (which is equal to 1/mean) (20 days).

Adding the values we obtain:

P(X > 20) = \(e^{-20/15}\)

P(X > 20) = 0.4493

Hence, the likelihood that there will be more than 20 days between two consecutive rolling mill incidents is 0.4493.

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The required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12. which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question

⇒ 3 - 4x = 12

Subtraction by 3 on both sides of the above equation,

⇒ 3 - 3 - 4x = 12 - 3

⇒ 0  - 4x = 9

⇒ - 4x = 9

Multiply by (-1) on both sides of the above equation,

⇒  4x = - 9

Therefore, the required equation 4x = - 9 is equivalent to the given equation 3 - 4x = 12.

Hence, the correct answer would be an option (C).

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Answer:

M=3/2

Step-by-step explanation:

Convert to slope-intercept form.

subtract 3x from both sides:

3x-2y=10

-3x      -3x

the threes will cancel out leaving you with:

-2y=10-3x

then divide both sides by -2:

-2y=10-3x

-2y   -2

your twos will then cancel out leaving you with:

y=-5-3/2

your answer is then:

3/2

heres a formula you can go by:

y=mx+b. m is the slope and b is the y-intercept.

I hope this helps :)

sorry if it doesn’t.

Answer:

Step-by-step explanation:

cot θ=-9.68

cotθ is negative

so θ lies in 2nd or 4th quadrant.

tan θ=-1/9.68

θ=tan ^{-1}(-1/9.68)≈174.1°,354.1°

3.

sec θ=-9.13+5=-8.13

sec θ is negative so θ lies in 2nd or 3rd quadrant.

cos θ=(-1/8.13)

θ=cos^{-1}(-1/8.13)≈97.1°

Answer:

a < -3

Step-by-step explanation:

10a + 8 < 9a + 5

Subtract 9a from both sides.

a + 8 < 5

Subtract 8 from both sides.

a < -3

Answer:

a < -3

Step-by-step explanation:

Given the inequality:

\(\displaystyle{10a+8 < 9a+5}\)

Solving a linear inequality is like solving a linear equation, you isolate a-term. Thus, subtract both sides by 9a:

\(\displaystyle{10a+8-9a < 9a+5-9a}\\\\\displaystyle{a+8 < 5}\)

Subtract both sides by 8:

\(\displaystyle{a+8-8 < 5-8}\\\\\displaystyle{a < -3}\)

Therefore, the solution is a < -3

The correct answer is option C: -25, -15, 230.

This is because when we write each transaction as an integer, we use negative numbers to represent money spent or loaned and positive numbers to represent money deposited. So, -15 represents the money spent at the movies, -25 represents the money loaned to a friend, and 230 represents the money deposited into the checking account. When we list them from least to greatest, we get -25, -15, 230.

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Answer:

Step-by-step explanation:          

\(49x^2-42x+(\frac{42}{2})^2=49x^2-42x+(\frac{42}{2} )^2\)    (completing the square)  

  \(49x^2-42x+441=49x^2-42x+21^2\)

                              \(=(7x-21)^2\)

So    \(49x^2-42x+441=(7x-21)^2\)

Solution: The required constant is 441.

Remember:    Completing the square IN \(ax^2+bx+c\) involves adding  \((\frac{b}{2} )^2\)     to both sides of the equation. THIS KEEPS IT BALANCED AND ALLOWS US TO MAKE A PERFECT SQUARE.    

Answer:

Pedro age =  54 ; Jorge age = 18

Step-by-step explanation:

Pedro age = P

Jorge age = J

3J = P

J + P = 72

we have to substitute the value of P in the second equation

J + 3J = 72

we have solve the equation

4J = 72

J = 18

we have to subistute this value in the first equation

3*18 = P

P = 54

Answer: answer is A

Step-by-step explanation:

Answer:

In order of the questions asked, the answers are, C, D, A, C

Step-by-step explanation:

After three half-lives have elapsed, 12.5% of the original nuclide remains, so the answer is C.

if 17 % is daughter nuclide, then 83% is parent nuclide, so , the answer is D

the isotope for dating organic remains is A. carbon-14

for 25% of original, 2 half-lives must have passed, so we get (2)(5730) = 11460

so the answer is C

We can find the probabilities of ever transiting from states 4, 5, and 6 to a transient state by looking at the fourth, fifth, and sixth rows of F, respectively.

To find the mean time spent by the Markov chain in any transient states of the chain which starts at any transient state, we need to first identify the transient states. In this case, we can see that states 1, 3, and 7 are transient states since there is a non-zero probability of reaching an absorbing state (states 4, 5, and 6) from these states.

Next, we need to find the expected time spent in each of the transient states before reaching an absorbing state. We can set up a system of equations to solve for these expected times using the fact that the expected time spent in a state is equal to 1 plus the sum of the expected times spent in each possible next state, weighted by their transition probabilities.

For example, for state 1, we have:

E(T1) = 1 + 0.5E(T2) + 0.25E(T3)

where E(Ti) is the expected time spent in state i before reaching an absorbing state.

Similarly, for state 3, we have:

E(T3) = 1 + 0.4E(T2) + 0.2E(T4)

And for state 7, we have:

E(T7) = 1 + 0.2E(T5) + 0.5E(T6)

Solving these equations, we get:

E(T1) = 5

E(T3) = 5.5

E(T7) = 4

Therefore, the mean time spent by the Markov chain in any transient state is:

(E(T1) + E(T3) + E(T7))/3 = (5 + 5.5 + 4)/3 = 4.83

To find the probability that the Markov chain will ever transit to one of the transient states starting from another transient state, we can use the concept of fundamental matrix. The fundamental matrix F is defined as the matrix (I-Q)^-1, where Q is the submatrix of P consisting of the transition probabilities between transient states.

In this case, we have:

Q = [0 0.25 0.2;

0.4 0 0.2;

0.2 0.2 0]

Using a calculator or software to calculate the inverse of (I-Q), we get:

(I-Q)^-1 = [1.25 0.625 1;

0.625 1.25 1;

1 1 1.5]

The (i,j)-th entry of F represents the expected number of times the Markov chain will visit state j starting from state i before reaching an absorbing state. Therefore, the probability of ever transiting to a transient state starting from another transient state is simply the sum of the corresponding entries in F.

For example, to find the probability of ever transiting from state 2 to a transient state, we look at the second row of F:

[0.625 1.25 1]

The sum of these entries is 0.625 + 1.25 + 1 = 2.875, so the probability of ever transiting from state 2 to a transient state is 2.875.

Similarly, we can find the probabilities of ever transiting from states 4, 5, and 6 to a transient state by looking at the fourth, fifth, and sixth rows of F, respectively.

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Answer:

Step-by-step explanation:

A. Commutative Property of Multiplication

A system of inequalities to represent the constraints of this problem are x ≥ 0 and y ≥ 0.

A graph of the system of inequalities is shown on the coordinate plane below.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of HD Big View television produced in one day and number of Mega Tele box television produced in one day respectively, and then translate the word problem into algebraic equation as follows:

Since the HD Big View television takes 2 person-hours to make and the Mega TeleBox television takes 3 person-hours to make, a linear equation to describe this situation is given by:

2x + 3y = 192.

Additionally, TVs4U’s total manufacturing capacity is 72 televisions per day;

x + y = 72

For the constraints, we have the following system of linear inequalities:

x ≥ 0.

y ≥ 0.

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Yes, her strategy was correct.

When compared to operations involving just two numbers, solving an arithmetic expression that includes multiple operations like addition, subtraction, multiplication, and division is more difficult. A two-number operation is simple, but how do you work out an expression with brackets as well as multiple operations, as well as how to make a bracket simpler? Let's review the BODMAS rule as well as discover how brackets can be made simpler. For Bracket, Order, Division, Multiplication, Addition, and Subtraction, the acronym BODMAS is used. The acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication, Division, Addition, as well as Subtraction, is also known as BODMAS in some areas. Thus, the following figure illustrates the order in which BODMAS and PEMDAS operate.

Simplification is done following BODMAS rule.

266-39 gives 227.

Hence, her strategy was correct.

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Answer:

  (smallest, largest) = (B, C), (D, E), (G, J)

Step-by-step explanation:

Side lengths of a triangle are proportional to the sine of the opposite angle. In a triangle, a larger angle will always have a larger sine. That means the smallest angle is opposite the shortest side, and the largest angle is opposite the longest side.

__

The shortest side is 5 units, opposite angle B. The longest side is 7 units, opposite angle C.

The shortest side is 3 units, opposite angle D. The longest side is 5 units, opposite angle E.

The shortest side is 5 units, opposite angle G. The longest side is 5.1 units, opposite angle J.

_____

Additional comment

Angles in a triangle may exceed 90°. The sine function actually is decreasing for angles above 90°. However, since the total of angles of a triangle must be exactly 180°, there cannot be two angles in a triangle such that the smaller angle has the larger sine.

Answer:

I think the answer would be C, I hope it helps! :) please mark me the brainiest

Step-by-step explanation:

price difference= $45-$36

=$9

now,

x% of $45=$9

or, x/100 ×45 =9

or, x/20 ×9=9

or, x/20=1

therefore, x= 20%

The slope of the line is-7/6

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

Answer:

3/2

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

5 3/5 - 4 1/10= 1 1/2

This belief best illustrates the phenomenon known as political polarization, where individuals strongly align with their own political ideology and tend to view those with opposing beliefs as less correct and less trustworthy.

Political polarization refers to the deep divide and strong ideological alignment within a society, leading individuals to firmly adhere to their own political beliefs and view those with opposing views as less valid or trustworthy. Kate and Carmine's belief reflects this polarized mindset, where they both believe that their own political ideology is more correct and reliable compared to the opposing ideology.

Political polarization often leads to a lack of understanding and empathy between individuals with differing political beliefs, as each side tends to dismiss or devalue the perspectives of the other. This can hinder constructive dialogue and compromise, making it difficult to find common ground or reach consensus on important political issues. The phenomenon of political polarization has become increasingly prominent in many societies, shaping political discourse and contributing to social divisions.

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Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

A rotation is a turn made about a specific axis. Both clockwise and anticlockwise rotations are possible. Whereas the image is really the rotating image, the pre-image is the original item.

From the pre-image point, calculate the image. The listed pre-image point is (x , y). Change the x and y coordinates, then multiply this same previous y coordinate by -1 to get a 90 degree anticlockwise rotation. Use the guidelines mentioned below to calculate each rotation.

Clockwise :

Given :

F(2, 4), I(5, 4) and G(3, 2)

After 90 degree rotation: (x , y) ----> (y , -x)

F'(4,-2), I'(4,-5) and G'(2,-3).

Thus, the coordinates of ΔF'I'G' after a rotation of 90° clockwise about the origin. are - F'(4,-2), I'(4,-5) and G'(2,-3).

Graphs for the both triangles are obtained.

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Correct question:

ΔFIG has vertices at F(2, 4), I(5, 4) and G(3, 2). Graph ΔFIG and ΔF'I'G' after a rotation of 90° clockwise about the origin.​

Step-by-step explanation:

1. we know

area = πr²

a/q

22/7 × (50)²

22/7 × 2500

55000/7

7857.14

therefore, option c is correct

We can make 23/9 pans of lasagna from 7 2/3 pounds of lasagna, which is approximately 2.56 pans.

To calculate the number of pans of lasagna that can be made from 7 2/3 pounds of lasagna, we can set up a proportion using the information given. We know that 1/3 pound of tomato sauce is needed for each pan of lasagna, so for x pans of lasagna, we need:

1/3 lb tomato sauce per 1 pan of lasagna

Multiplying both sides by x gives us:

1/3 lb tomato sauce per 1 pan of lasagna = x/1 pan of lasagna

To find x, we need to multiply both sides by 7 2/3 lbs of lasagna:

1/3 lb tomato sauce per 1 pan of lasagna = x/1 pan of lasagna

(1/3) × (23/3) = x

x = 23/9

So we can make 23/9 pans of lasagna from 7 2/3 pounds of lasagna, which is approximately 2.56 pans. However, since we cannot make a partial pan of lasagna, we can only make 2 pans of lasagna using the given amount of lasagna.

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