Find the value of x. Then find the measure of each angle.​

Answer:

A

Step-by-step explanation:

took test

Answer:

A edge 2021

Step-by-step explanation:

Answer:

V = D. 75.4 in.³   (Answer D)

Step-by-step explanation:

The can volume is V = πr²h, which in this particular case is

V = π(2 in)²(6 in), or

V = D. 75.4 in.³   (Answer D)

Answer:

D

Step-by-step explanation:

(3.14x2^2)(6)=75.36

The value of the voltage of the electricity is 6 + j + 2j²

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

C = 2 - j

I = 3 + 2j

The formula of voltage is given as

V = CI

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

V = (2 - j) * (3 + 2j)

Open the brackets

So, we have

V = 6 + 4j - 3j + 2j²

Evaluate the like terms

V = 6 + j + 2j²

Hence, the voltage is 6 + j + 2j²

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Answer: b(3)=-10

Step-by-step explanation:

Is this what you meant?

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

29

Step-by-step explanation:

x-17=12

17+12=29

x=29

29-17=12

Hope this helps

Answer:

x=29

Step-by-step explanation:

Ok, so you want to get x alone by itself on one side of the equal sign in order to solve for x. but is it alone? no. What is being done to it? 17 is being subtracted from it.

x-17=12

So you need to undo that by doing the opposite. The opposite of subtracting 17 is adding 17, so you need to add 17 to both sides of the equal sign.

x-17+17=12+17 Whenever you're working with equations (has an = sign) whatever you do to one side you HAVE to do to the other. that's why you have to add 17 to both sides. Then, simplify. The -17+17 cancel out

x=12+17

x=29

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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A graph illustrating hypothetical demand and supply curves is shown below. The axes are labeled as price (P) on the vertical axis and quantity (Q) on the horizontal axis.

In the graph, the demand curve (D) is downward sloping, indicating that as price decreases, the quantity demanded increases. The supply curve (S) is upward sloping, indicating that as price increases, the quantity supplied also increases. The point where the two curves intersect represents the equilibrium, where the quantity demanded equals the quantity supplied.

The equilibrium price (P*) is determined at this point, and the equilibrium quantity (Q*) is the corresponding quantity exchanged at that price. This graphical representation helps illustrate the interaction between demand and supply in determining the market equilibrium.

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The probability that at least one automobile arrives during a particular minute is 0.8647 (rounded to 4 decimal places) and P(X = 0) = (e^(-2) * 2⁰) / 0!

a. To find the probability that no automobiles arrive in a particular minute, we can use the Poisson distribution formula:
P(X = k) = (e^(-λ) * (λ^k)) / k!
where:
- X is the number of arrivals
- k is the desired number of arrivals (0 in this case)
- λ (lambda) is the average rate of arrivals per minute (2 in this case)
- e is the base of the natural logarithm (approximately 2.71828)
Plugging in the values, we get:
P(X = 0) = (e^(-2) * (2⁰)) / 0! = (0.1353 * 1) / 1 = 0.1353
So, the probability that no automobiles arrive in a particular minute is 0.1353 or 13.53%.

b. To find the probability that at least one automobile arrives during a particular minute, we can find the complementary probability of no automobiles arriving:
P(X >= 1) = 1 - P(X = 0) = 1 - 0.1353 = 0.8647
So, the probability that at least one automobile arrives during a particular minute is 0.8647 or 86.47%.

a. The rate of arrivals is given as two per minute, and the distribution approximates a Poisson distribution. Therefore, we can use the Poisson probability formula to find the probability that no automobiles arrive in a particular minute:
P(X = 0) = (e^(-λ) * λ⁰) / 0!
where λ = 2 (the rate of arrivals per minute)
P(X = 0) = (e^(-2) * 2⁰) / 0!
P(X = 0) = 0.1353
Therefore, the probability that no automobiles arrive in a particular minute is 0.1353 (rounded to 4 decimal places).
b. To find the probability that at least one automobile arrives during a particular minute, we can use the complementary probability approach. That is, we can find the probability that no automobiles arrive and subtract it from 1 (the total probability).
P(X ≥ 1) = 1 - P(X = 0)
We already know from part (a) that P(X = 0) = 0.1353.
P(X ≥ 1) = 1 - 0.1353
P(X ≥ 1) = 0.8647
Therefore, the probability that at least one automobile arrives during a particular minute is 0.8647 (rounded to 4 decimal places).

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(x+1) & (x-5) are the factors of given equation.

The given Equation is,

x3- \(3x^{3}\) - 9

Here, If we substitute x =5, in the given equation, then we find

     (5)3 - 3(5)3 - 9*5 -5 = 0

x-5 is factor of given equation to find another factor dividing given equation by x-5

    we will get =(x2+2x+1) after dividing the equation by x - 5

Hence x3- \(3x^{3}\) - 9 =(x2+2x+1) (x-5)

                            =(x+2)2 (x-5)

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For the given right angle triangle:

Hypotenuse = x

The adjacent side to the angle 35 = 9

So,

Rounding to the nearest tenth

So, the answer will be x = 11

75% percentage of the club members voted for Bob.

The value must be divided by the entire value, and the resulting number must then be multiplied by 100 to get the percentage.

A figure or ratio that reflects a fraction of 100 is known as a percentage in mathematics. In addition to ratios, fractions, and decimals, it is one of the ways to depict a dimensionless connection between two numbers. Frequently, the symbol "%" is used after the number to indicate percentages. 10%, a comparative figure denoting one hundredth of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified.

Given,

The number of votes received by Bob=48 votes

Total number of members in the club=64

Then,

(48/64)×100

=75%

Therefore, 75% percentage of the club members voted for Bob.

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Answer: 5

Step-by-step explanation:

Answer:

5, $ 20 bills

Step-by-step explanation:

27.90× 3 = around 85

$85÷ $20=4.25

So 5, 20 dollar bills because it is more that 4

A. The probability that exactly 5 adults meet the criteria for hypertension is approximately 0.0916 or 9.16%.

B. The probability that none of the adults meet the criteria for hypertension is approximately 0.0255 or 2.55%.

C.  The probability that less than or equal to 7 adults meet the criteria for hypertension is approximately 0.9999 or 99.99%.

To calculate the probabilities,

Use the binomial probability formula.

The binomial probability formula is,

P(X = k) = C (n ,k) × \(p^k\) × \((1 - p)^{(n - k)\)

Where,

P(X = k) is the probability of exactly k successes

n is the number of trials

k is the number of successes

p is the probability of success in a single trial

(1 - p) is the probability of failure in a single trial

C(n, k) represents the binomial coefficient,

which can be calculated as n! / (k! × (n - k)!)

A. To calculate the probability that exactly 5 adults meet the criteria for hypertension,

n = 15 (number of adults assessed)

k = 5 (number of adults meeting the criteria)

p = 0.30 (probability of meeting the criteria)

A. Probability that exactly 5 adults meet the criteria for hypertension,

n = 15

k = 5

p = 0.30

P(X = 5) = C( 15, 5) × 0.30⁵ × (1 - 0.30)¹⁵⁻⁵

Using the binomial coefficient formula C (n ,k) = n! / (k! × (n - k)!), we have,

(¹⁵C₅) = 15! / (5! × (15 - 5)!) = 3003

P(X = 5) = 3003 × 0.30⁵ × 0.70¹⁰

Calculating the probability,

P(X = 5) = 0.0916 (approximately)

B. Probability that none of the adults meet the criteria for hypertension,

n = 15

k = 0

p = 0.30

P(X = 0) = (¹⁵C₀) × 0.30⁰× (1 - 0.30)¹⁵⁻⁰

(¹⁵C₀) = 1 (since choosing 0 from any set results in 1)

P(X = 0) = 1 × 0.30⁰ × 0.70¹⁵

Calculating the probability,

P(X = 0) = 0.0255 (approximately)

C. Probability that less than or equal to 7 adults meet the criteria for hypertension,

n = 15

k = 0, 1, 2, 3, 4, 5, 6, 7

p = 0.30

P(X ≤7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)

Calculate each individual probability using the binomial probability formula and sum them up.

P(X ≤7) = (¹⁵C₀) × 0.30⁰ × 0.70¹⁵ + ¹⁵C₁× 0.30¹× 0.70¹⁴+ (¹⁵C₂) × 0.30²× 0.70¹³ + (¹⁵C₃) × 0.30³ × 0.70¹² + (¹⁵C₄) ×0.30⁴ × 0.70¹¹ + (¹⁵C₅) × 0.30⁵× 0.70¹⁰ + (¹⁵C₆) × 0.30⁶× 0.70⁹ + (¹⁵C₇) × 0.30⁷ ×0.70⁸

Calculating the probability,

P(X ≤ 7) ≈ 0.9999

Therefore, the probabilities for different conditions are,

A. For exactly 5 adults is 0.0916 or 9.16%.

B. For none of the adults is 0.0255 or 2.55%.

C. less than or equal to 7 adults is 0.9999 or 99.99%.

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Answer: The answer is 5^15 which we find out by multiplying the ^3 and ^9, from there you subtract 12.

Answer: 66/2 or in simplest form, 33/1

Step-by-step explanation:

11/2 divided by 1/6

*Keep the first fraction, flip the sign to multiplication, reciprocal or flip the fraction*

= 11/2 x 6/1

=66/2

=33/1

Answer:

well, there are 1000 meters in a kilometer, and there are 100 meters right now. 100x10=1000, so therefore 9.69 sec x 10 = 96.9. So, he could run 1 km in 96.9 sec.

There are also 100 cm in a meter. so, 100 cm x 100 meters is 10,000 cm. therefore, he could run 10,000 cm in 9.69 sec.

Technically, he is also fast enough to run 1 cm in 96.9 sec then, too.

I'm not sure about the others though, I'm sorry.

Answer:

54

Step-by-step explanation:

9x 3 x2 =54

1   Y is distributed as N(aμ + b, a^2σ^2), as desired.

2  We have shown that under these conditions, E[XY] = E[X]E[Y].

To prove that Y is distributed as N(aμ + b, a^2σ^2), we need to show that the mean and variance of Y match those of a normal distribution with parameters aμ + b and a^2σ^2, respectively.

First, let's find the mean of Y:

E(Y) = E(aX + b) = aE(X) + b = aμ + b

Next, let's find the variance of Y:

Var(Y) = Var(aX + b) = a^2Var(X) = a^2σ^2

Therefore, Y is distributed as N(aμ + b, a^2σ^2), as desired.

We can use the definition of covariance to prove that E[XY] = E[X]E[Y]. By the properties of expected value, we know that:

E[XY] = ∫∫ xy f(x,y) dxdy

where f(x,y) is the joint probability density function of X and Y.

Then, we can use the fact that X and Y are independent to simplify the expression:

E[XY] = ∫∫ xy f(x) f(y) dxdy

= ∫ x f(x) dx ∫ y f(y) dy

= E[X]E[Y]

where f(x) and f(y) are the marginal probability density functions of X and Y, respectively.

Therefore, we have shown that under these conditions, E[XY] = E[X]E[Y].

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Answer:

13.2 miles

Step-by-step explanation:

To solve this, we will need to first solve for the base of the triangle and then use the information we find to solve for the shortest route.

(5.5 + 3.5)² + b² = 15²

9² + b² = 15²

81 + b² = 225

b² = 144

b = 12

Now that we know that the base is 12 miles, we can use that and the 5.5 miles in between Adamsburg and Chenoa to find the shortest route (hypotenuse).

5.5² + 12² = c²

30.25 + 144 = c²

174.25 = c²

13.2 ≈ c

Therefore, the shortest route from Chenoa to Robertsville is about 13.2 miles.

Option-A is correct that is Hₐ: p₁-p₂<0 is the alternative theories best fits this claim.

Given that,

According to a scientist, the percentage of women in the national academy of sciences is lower than the percentage of women in the general population. Let p₁ stand for the percentage of women in the National Academy of Sciences and p₂ for the overall percentage of women.

We have to find what is the alternative theories best fits this claim.

We know that,

p₁ represent the proportion of women in the National Academy of Sciences.

p₂ represent the proportion of women in the nationwide.

The alternative hypothesis is ,

Hₐ: p₁-p₂<0

Therefore, Option-A is correct that is Hₐ: p₁-p₂<0 is the alternative theories best fits this claim.

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The number is = 10x+y

if reverse the digits, the number is: 10y+x

The sum of its digits is =  x+y=5

I suggest this system of equations:

(10y+x)-(10x+y)=27    ⇒9y-9x=27

x+y=5

We can solve this system of equations by the equalization method

x=5-y

9y-9(5-y)=27

9y-45+9y=27

18y=27+45

18y=72

y=72/18

y=4

x=5-y

x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14

Sum of the digits = 13

If 27 is added to the number, the digits are reversed

the required number

Let the digit at ten's place be x and digit at one's place be y.

⟶ The number = 10x + y.

Sum of the digits = 13

⟹ x + y = 13

⟹ x = 13 - y -- equation (1)

Also given that,

If 27 is added to the number, the digits are reversed.

Number formed by reversing the digits = 10y + x.

According to the above condition,

⟹ 10x + y + 27 = 10y + x

⟹ 27 = 10y + x - 10x - y

⟹ 27 = 9y - 9x

Substitute the value of x from equation (1).

⟹ 27 = 9y - 9(13 - y)

⟹ 27 = 9y - 117 + 9y

⟹ 27 + 117 = 18y

⟹ 144 = 18y

⟹ 144/18 = y

⟹ 8 = y

Substitute the value of y in equation (1).

⟹ x = 13 - 8

⟹ x = 5

Hence,

• The number = 10(5) + 8 = 50 + 8 = 58.

∴ The required two digit number is 58.

I hope it will help you.

Regards.

The distribution is hypergeometric kind of distribution, h(x; 6, 8, 19)

The hypergeometric distribution is a discrete probability distribution in probability theory and statistics that describes the probability of k successes in n draws, without replacement, from a finite population of size N containing exactly K features, where each draw is either a success or a failure.

We know from the task that: eight of the nineteen people who are scheduled to take the driving test for the first time will be at a particular DMV office on a specific day. Let x be the number of people taking the test for the first time, and let six of these people be randomly assigned to a particular examiner.

Thus, We conclude that it is the hypergeometric distribution:

h(x; 6, 8, 19).

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Answer:

v = 3

Step-by-step explanation:

112 = 8 + 4(5 + 7v)

distribute the 4

112 = 8 + 20 + 28v

combine like terms

112 = 28 + 28v

subtract 28 from both sides

84 = 28v

divide by 28

v = 3

Answer:

V = 3

Step-by-step explanation:

Image for explanation

Total amount she wants to raise = $3200

Amount she'll get for each kilometer = $35

So, number of kilometers she need to run

= Total amount she wants to raise/Amount she'll get for each kilometer

= $3200/$35

= 91.42....

Since her sponser is will donate only for whole kilometers she'll have to run 92 km.

y = 2x + 2

Explanation:

y = 2(1) + 2 equals 4 which is y when x is 1

y = 2(0) + 2 equals 2 which is y when x is 0

A) The amplitude is 0.129 m.

B) The position at t = 0 is also 0.129 m.

C) The velocity at t = 0 is approximately -0.913 m/s.

A) To find the amplitude of a simple harmonic oscillator, we need to know the maximum displacement from the equilibrium position. In this case, the amplitude (A) can be determined using the position (x) at any given time. The amplitude is equal to the absolute value of the maximum displacement.

Given that the position of the block at t = 1 s is x = 0.129 m, we can find the amplitude as follows:

Amplitude (A) = |x| = |0.129 m| = 0.129 m

Therefore, the amplitude of the oscillator is 0.129 m.

B) To find the position at t = 0, we need to consider the motion of the oscillator in terms of its phase. The position of the block at any given time can be expressed as:

x(t) = A * cos(ωt + φ)

where x(t) is the position at time t, A is the amplitude, ω is the angular frequency, t is the time, and φ is the phase constant.

At t = 0, the position x(t) will be at its maximum, which is equal to the amplitude A. Therefore, the position at t = 0 is equal to the amplitude:

Position at t = 0 = A = 0.129 m

C) To find the velocity at t = 0, we can differentiate the position function with respect to time:

v(t) = -A * ω * sin(ωt + φ)

At t = 0, the velocity v(t) can be calculated as:

Velocity at t = 0 = v(0) = -A * ω * sin(φ)

Since sin(φ) can vary between -1 and 1, the magnitude of sin(φ) is at most 1. Therefore, the maximum value of the velocity occurs when sin(φ) = 1.

Velocity at t = 0 = -A * ω * 1

Now, let's calculate the velocity using the given values:

Mass (m) = 2 kg

Spring constant (k) = 100 N/m

The angular frequency (ω) can be calculated using the formula ω = √(k/m), where ω is in radians per second:

ω = √(k/m) = √(100 N/m / 2 kg) = √(50 rad/s) ≈ 7.071 rad/s

Using this value, we can calculate the velocity at t = 0:

Velocity at t = 0 = -A * ω * 1 = -0.129 m * 7.071 rad/s * 1 = -0.913 m/s

Therefore, the velocity at t = 0 is approximately -0.913 m/s.

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The graph the system of linear equations on a coordinate plane is added as an attachment and the solution is (2, 2)

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=-1/2x+3 and y=2x-2

Rewrite the equations in the system of equations as follows:

So, we have the following representation

y = -1/2x + 3

y = 2x - 2

Next, we plot the graph of the system of equations

See attachment for the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (2, 2)

This means that the solution to the system of equations is (2, 2)

Recall that

y = -1/2x + 3

y = 2x - 2

Solution = (2, 2)

So, we have

2 = -1/2 x 2 + 3 = 2 --- true

2 = 2 x 2 - 2 = 2 --- true

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The projected number of newly reported crime cases in the New York county in 2011, found using linear regression is 703 newly reported crime cases

A linear regression models the relationship between a scalar quantity and other explanatory variables, using a linear approach.

The linear regression equation is presented as follows;

y = a + b•x

Where;

\( \displaystyle{ b = \frac{ \sum (x - \bar x) \times (y - \bar y)}{ (x - \bar x)^{2} } }\)

\( \displaystyle{ a = \frac{ \sum (y ) + b \times \sum (x)}{ n } }\)

\( \displaystyle{ \bar x}\) =(0+1+2+3)/4 = 1.5

\( \displaystyle{ \bar y}\) =(994+946+928+880)/4 = 937

\( \displaystyle{ \sum x}\) =(0+1+2+3) = 6

\( \displaystyle{ \sum y}\) =(994+946+928+880) = 3748

n = 4

Using the statistics function of a graphing calculator, under Scatter plot, plot type, we have;

y = 991 - 36•x

Which gives;

b = -36

a = 991

From the given parameters, we have;

x = The number of years since 2003

y = The number of newly reported crime cases

Required;

The number of projected new cases in 2011

Solution;

In 2011, x = 2011 - 2003 = 8

Which gives;

y = 991 - 36×8 = 703

The number of newly reported crime cases in 2011 is 703

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