what is the probability of hitting a target if, in the long run, 6 out of every 35 attempts actually hit the target?

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is \(x\)

So, length is given by \(6x+5\)

The area is given by \(l\times b\)

Put values of length and width

\(\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\\)

On solving the quadratic equation, we get \(x=30\)

Length is \(6\times 30+5=185\ m\)

Width is \(x=30\ m\)

Step-by-step explanation:

\(z - 6 < 3 \\ z < 3 + 6 \\ z < 9\)

Hope it helps

Z – 6 < 3

Z < 3 + 6

Z < 9

Answer:

y=-2x+1

Step-by-step explanation:

Look at the photo i think

Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

The probability that two history majors will be selected is approximately 0.0021622, or 0.21622%.

To calculate the probability that two history majors will be selected, we need to determine the number of favorable outcomes and the total number of possible outcomes.

Given:

Number of history majors = 4

The probability of selecting a history major as the first student is 4/75, as there are 4 history majors out of 75 students.

After selecting the first student, there will be 74 students remaining, with 3 history majors among them (since one history major has already been selected). Therefore, the probability of selecting another history major as the second student is 3/74.

To find the probability of both events occurring (selecting two history majors in sequence), we multiply the probabilities together:

Probability = (4/75) * (3/74) = 12/5550 ≈ 0.0021622

COMPLETE QUESTION:

A university class has 75 students: 4 are history majors, 8 are business majors, and 11 are nursing majors. The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that two history majors will be selected?

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Answer:

The answer is -3

Step-by-step explanation:

Use the ordered pairs: (-4, 3) and (-2, -3)

Use the slope form: y2-y1/x2-x1 or in this case -3-3/-2-(-4)=-3

Hope this helped! :D

The value of the expression is x = 5 5/6

Note that algebraic expressions are expressions that are made up of terms, variables, constants, factors , and coefficients.

They are also made up of arithmetic operations, such as;

From the information given, we have that;

x-1(x-1+16)=(x+5)(x+5)

expand the bracket, we get;

x² - x + 16x - x + 1 - 16 = x² + 5x + 5x + 25

collect the like terms

x² + 16x - 15 = x² + 10x + 25

collect the like terms

6x = 35

Divide both sides by the coefficient of x, we have;

x = 35/6

x = 5 5/6

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Question:

Simply the expression;

x-1(x-1+16)=(x+5)(x+5)

Interest = A - (50 * 456)

To determine how much you will have in the IRA when you retire at age 65, we can use the formula A = P[(1 + r)^t - 1] / r, where A is the future value, P is the monthly deposit, r is the monthly interest rate, and t is the number of months.

a. In this case, the monthly deposit is 50, the monthly interest rate is 5% or 0.05, and the number of months is (65 - 27) * 12 = 456 (from age 27 to 65).

Using the formula, we can calculate:
A = 50[(1 + 0.05)^456 - 1] / 0.05

b. To find the interest, we can subtract the total deposits from the future value:
Interest = A - (P * t)

In this case:
Interest = A - (50 * 456)

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Margin of error is statistical expressing the amount of a random sampling error in survay results not the error term from biased sampling method. So, correct answer is False.

Margin of error in statistics represents the amount of random sampling error in the survey results. The larger the margin of error, the less confident that the survey results reflect the results of the census of the entire population. It is denoted by E or MOE. It is calculated by dividing the square root of the sample size by the standard deviation of the population. 99% level is the most conservative, 90% level is the least conservative. The sampling error is a statistical error that occurs when the analyst does not select a sample that is representative of the entire data population.

False - Margin of error only account for sample variability (the fact that my sample differs from many others' samples and therefore provides different statistics.

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Answer:

B.

Step-by-step explanation:

it sounds about right to me. I'm not the best with math

Answer:

C

Step-by-step explanation:

∠ 5 and ∠ 8 are adjacent angles and are supplementary, sum to 180° , then

∠ 8 + ∠ 5 = 180°

∠ 8 + 45° = 180° ( subtract 45° from both sides )

∠ 8 = 135° → C

The units that need to be produced to have minimum cost is 800 units.

From the information, the manufacturer of candies has daily costs of T(x)=2x² - 3200x+6800.

Therefore, we will differentiate with respect to x. This will be:

T(x)=2x² - 3200x+6800.

4x - 3200

4x - 3200 = 0

4x = 3200

Divide

x = 3200/4

x = 800

Therefore, the units that need to be produced to have minimum cost is 800 units.

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The formula for for Rn is given as Rn = Σ 18/n (1 - 12i/n + 36i²/n²).

We are given the function f(x) = 3x² on the interval [-1, 5] . This gives

Δx =6/n and xi= -1 + 6i/n.

Therefore,

Rn =  Σ f(xi) Δx

     = Σ 3 (-1 + 6i/n)² 6/n

     = Σ 18/n (1 - 12i/n + 36i²/n²)

The limit of a function in mathematics is a key idea in calculus and analysis regarding the behavior of that function close to a specific input.

Informally, a function f gives each input x an output f(x). If f(x) approaches L as x approaches input p, we say that the function has a limit L at that location. More specifically, any input that is sufficiently close to p when f is applied forces the output value arbitrarily close to L.

The concept of limit is specifically used in the various definitions of continuity. Roughly speaking, a function is continuous if all of its limits agree with the values of the function. The term "limit" is also used in the definition of the mathematical term "derivative," which in one-variable calculus refers to the maximum value of the slope of secant lines on a function's graph.

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The Probability that the player will win against each of the four opponents at least once is 0.7942.

The player has a P(W) = 0.80 winning chance.

The likelihood that the player will lose is hence P(L)= 1 - P(W) = 0.20.

The player is up against 4 different opponents in the video game.

It is stipulated that the game finishes when a player is defeated by an opponent.

The player can win in any of the following ways: L, WL, WWL, WWWL, and WWWW.

The results from each of the four opponents are distinct, meaning that the outcome of a game played against one opponent has no bearing on the outcome of a game against another.

P (Player defeats all 4 opponents) = 0.4096 is the probability that a player will win a game against all four opponents.

Thus, the probability that the player defeats all four opponents in a game is 0.4096.

(b) The likelihood that a player will win a game against at least two opponents is,

P = 1 (Player defeats at least 2) P = 0.64 when the player loses the first and second games.

Therefore, there is a 0.64 percent chance that the player will win at least two games against opponents.

Let X equal the number of times the player triumphs over all four opponents.

The likelihood that a player will win a game against all four opponents is,

P(WWWW) = 0.4096

The probability that a player will triumph over each of the four opponents at least once is,

P (X ≥ 1) = 1 - P (X < 1)

= 1 - P (X = 0)\s = 0.7942

Therefore, there is a 0.7942 probability that the player will win against all four opponents at least once.

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Fashion trends influence people's tastes and preferences in clothing.

Fashion trends have a significant impact on the demand for clothing and fashion accessories. They play a crucial role in shaping people's tastes and preferences, which directly affect their purchasing decisions. As fashion trends change, consumers are influenced to adopt new styles, designs, and aesthetics, leading to shifts in their demand for clothing items.

Fashion trends are a non price determinant of demand because they operate independently of the price of the products. Unlike factors like price, income, or availability, fashion trends do not directly affect the quantity demanded at a given price. Instead, they influence consumers' preferences, attitudes, and perceptions towards different clothing options, leading to changes in the overall demand for fashion products.

Fashion trends can create a sense of novelty, social acceptance, and personal expression, driving consumers to seek out specific styles or brands that align with the current trends. This influence on people's tastes and preferences in clothing can result in shifts in demand curves as consumer preferences change over time. Therefore, fashion trends are a significant nonprice determinant of demand in the fashion industry.

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Answer:

Step-by-step explanation:

According to the ideal gas law, the pressure (P) and temperature (T) of a gas are related by the equation P = nRT/V, where n is the number of moles of gas, R is the ideal gas constant, and V is the volume of the gas.

Since the cylinders are identical and have the same pressure, we can assume that they have the same volume (V) and ideal gas constant (R). Therefore, the only difference between the two cylinders is the number of moles of gas (n) and the temperature (T).

Let's denote the number of moles of argon as n_ar and the number of moles of krypton as n_kr. We can express the ratio of the temperatures (T_ar and T_kr) as follows:

T_ar / T_kr = n_ar / n_kr

Since the cylinders contain the same mass of argon and krypton, we can use the molar mass (M) of each gas to relate the number of moles to the mass:

n_ar = mass_ar / M_ar

n_kr = mass_kr / M_kr

The molar mass of argon (M_ar) is approximately 39.95 g/mol, and the molar mass of krypton (M_kr) is approximately 83.80 g/mol.

Now, let's consider the ratio of the masses (mass_ar and mass_kr) of the gases in the cylinders:

mass_ar / mass_kr = M_ar / M_kr

Combining the above equations, we can simplify the ratio of the temperatures:

T_ar / T_kr = (mass_ar / M_ar) / (mass_kr / M_kr)

= (mass_ar / mass_kr) * (M_kr / M_ar)

= (M_kr / M_ar) * (mass_ar / mass_kr)

Therefore, the ratio of the temperatures (T_ar / T_kr) is equal to the ratio of the molar masses (M_kr / M_ar) multiplied by the ratio of the masses of the gases (mass_ar / mass_kr).

Note that this ratio assumes that the volumes and pressures are the same. If there are any other factors at play, such as a change in volume or pressure, this ratio may not hold true.

Answer:

B

Step-by-step explanation:

Caroline, the manager of the financial statement review job, should disclose the violation in accordance with policy to the appropriate person in her firm (Option C) as per the AICPA interpretation, Breach of an Independence Interpretation when she finds out that Don violated the independence rules by not disclosing that his sister works in a key position at BAM.

Becker & Smith is a financial audit firm that works with many businesses and enterprises to audit and report on their financial statements and reports. Caroline is the manager on the job of Becker & Smith performing a financial statement review for BAM Markets (BAM).

The independence rule states that auditors must be unbiased and independent of the company they are auditing. According to the rule, auditors must not have any direct or indirect interests in the client, as this could cause bias or a conflict of interest that would undermine their objectivity. The independence rule is important in ensuring the accuracy and reliability of audit reports as well as in promoting trust and confidence in the audit process.

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Answer:

y = -2x + 12

Step-by-step explanation:

Slope-intercept form

\(y=mx+b\)

where:

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

\(\implies 4x+2y=24\)

\(\implies 4x+2y-4x=-4x+24\)

\(\implies 2y=-4x+24\)

\(\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}\)

\(\implies y=-2x+12\)

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

Answer:

The complementary angle is 72

Step-by-step explanation:

Complementary angles add to 90 degrees

Let x be  the complementary angle

x+18 = 90

Subtract 18 from each side

x = 90-18

x = 72

Answer:

∠ C ≈ 73.7°

Step-by-step explanation:

using the sine ratio in the right triangle

sin C = \(\frac{opposite}{hypotenuse}\) = \(\frac{AT}{CT}\) = \(\frac{48}{50}\) , then

∠ C = \(sin^{-1}\) ( \(\frac{48}{50}\) ) ≈ 73.7° ( to the nearest tenth )

Answer:

x = 6

Step-by-step explanation:

6x + 27 = 12x - 9

6x -12x = -9 -27

-6x = -36 /: (-6)

x = 6

Answer:

1,000 millimeters = 1 liter

2 cups = 1 pint

8 ounces = 1 cup

2 pints = 1 quart

1000 liters = 1 kiloliter

4 quarts = 1 gallon

Answer:

1) 1,000 Miliiters is 1 Liter

2) 2 cups is 1 Pint

3) 8 ounces is 1 Cup

4) 2 pints are in 1 quart

5) 1,000 liters is 1 Kiloliter

6) 4 quarts is 1 gallon

Step-by-step explanation:

You can break them down by their prefixes and stuff. It had been a long time since I have done coversions so I dont know how to give a good explanation.

The particle never moves to the right of the origin. Hence, the farthest left of the origin that the particle moves is at x=-∞.

Given that, the position of the particle is \(x*d(t)=(1-2)^2*(1-6).\)

Initially, the position of the particle is\(x*d(t)=(-1)^2*(-5)=5.\)

The displacement of the particle can be given as the difference between the final position and the initial position. Therefore, the displacement of the particle is \(Δx=0-5=-5.\)

(a) Since the value of the displacement is negative, the particle is moving to the left.

(b) The particle will be at rest when the velocity of the particle is zero. Here,\(v=d/dt (x*d(t))=x*d'(t)\)

When the velocity of the particle is zero, then x*d'(t)=0.So, either x=0 or d'(t)=0.

When x=0, the particle will be at rest at the origin.

To find out the value of t, substitute x=0 in the given equation,

we get\(0=(-1)^2*(-5).\) This is not possible. Therefore, the particle will never be at rest.

(c) When the direction of the velocity changes, the particle changes direction. The velocity of the particle is given as v=d/dt (x*d(t))=x*d'(t).

From the above equation, we see that the velocity of the particle changes direction when x changes direction. The direction of x changes at x=0.

(d) The farthest left of the origin that the particle moves is at x=-∞ when t=0.

Thus, the particle never moves to the right of the origin. Hence, the farthest left of the origin that the particle moves is at x=-∞.

Note: Here, we have considered the absolute values of -1 and -5.

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Answer:

x = 9

Step-by-step explanation:

See the attachment for step-by-step

On solving the provided question, we can say that the equation is \(x^3 (x^4 - x^6 + x^5 + 1) = 0\)

A mathematical equation is a formula that links two assertions and signifies equivalence with the equals sign (=). In algebra, a mathematical statement that proves the equality of two mathematical expressions is referred to as an equation. The equal sign, for instance, separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14. There is a mathematical formula that explains the link between the two phrases that appear on either side of a letter. Frequently, the symbol and the single variable are the same. like in 2x - 4 = 2, for example.

\(f(x) = x^7 - x^9 + x^8 + x^3 = 0\)

Factor out x^3 to simplify the equation:

\(x^3 (x^4 - x^6 + x^5 + 1) = 0\)

So the zeros of f(x) are the solutions to the equation x^3 = 0 or the solutions to the equation x^4 - x^6 + x^5 + 1 = 0.

Zeros with multiplicity 3:

The only zero with multiplicity 3 is x = 0, which comes from the factor of x^3.

Zeros with multiplicity 1:

To find the zeros with multiplicity 1, we need to solve the equation x^4 - x^6 + x^5 + 1 = 0. Unfortunately, this equation cannot be factored easily. However, we can use numerical methods to find approximate solutions.

Therefore, the zeros of f(x) according to their multiplicity are:

Zeros with multiplicity 3: x = 0

Zeros with multiplicity 1: x ≈ 0.406, x ≈ -1.134

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The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

The slope of any function is the unit rate or average rate of change of the given function for that situation.

here, we have,

Given the function, E(x) = 130 + 28x, where:

E(x) is the amount an electrician charges per job

130 is the flat rate service which is the starting value or y-intercept

28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.

Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.

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The overall shape of the distribution of soldiers' foot lengths was likely symmetric or approximately bell-shaped.

The distribution of soldiers' foot lengths can be described as symmetric or bell-shaped. The majority of foot lengths cluster around the center, with fewer foot lengths deviating significantly. The center of the distribution, representing the average foot length, can be determined using the mean.

Analyzing the shape through a histogram or box plot helps identify symmetry. A symmetric shape with a peak in the middle and evenly tapering tails indicates a bell-shaped distribution.

Understanding the distribution's shape and center allows us to infer the overall characteristics of the soldiers' foot lengths.

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