Weights of chocolate chip bags follow an approximate normal distribution with mean 12.16 ounces and standard deviation of 0.12 ounce. What is the probability that a randomly selected bag weighs between 11.95 and 12.05 ounces?

Answer:

area

Step-by-step explanation:

In equations like these, A represents area, B represents base, and H represents height.

hope this helps!

In the given capacitor combination, all capacitors have a capacitance of 2 mF. When connected to a 12 V battery, the charge on capacitor C1 can be determined, and the voltage across capacitor C4 can be calculated.

In a series combination of capacitors, the charge on each capacitor is the same. Therefore, the charge on capacitor C1 will be the same as the total charge in the circuit. The charge on a capacitor can be calculated using the formula Q = CV, where Q is the charge, C is the capacitance, and V is the voltage. In this case, since all capacitors have the same capacitance of 2 mF, the charge on C1 will be equal to the charge on the other capacitors.

To find the voltage across capacitor C4, we need to consider the fact that capacitors in series share the same charge. The voltage across each capacitor in a series combination can be calculated using the formula V = Q/C, where V is the voltage, Q is the charge, and C is the capacitance. Since the charge is the same for all capacitors in the series combination, the voltage across C4 will be equal to the voltage across the other capacitors in the circuit.

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Answer:

3/4.

Step-by-step explanation:

y = x^1/2

dy/dx = 1/2 x^-1/2

dy/dt = dy/dx * dx/dt

        =  1/2 x^-1/2 * 3

         = 3/2 x^-1/2

When x = 4:

dy/dt = 3/2 * 4 ^-1/2

         = 3/2* 1/ √4

         = 3/2 * 1/2

         = 3/4.

Answer:

53 Degrees

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

because they mirror each other in other words adjacent to each other

Answer:

1 solution (2/3, 2)

Step-by-step explanation:

This series converges to y(t) = t for -5 < t < 5.

To find the Fourier series of the function y(t) = t for -5 < t < 5, we can use the following formula:

c_n = (1/T) ∫(T/2)_(−T/2) y(t) e^(-jnω_0 t) dt

where T is the period of the function, ω_0 = 2π/T is the fundamental frequency, and n is an integer.

In this case, T = 10 and ω_0 = π. Thus, we have:

c_n = (1/10) ∫(-5)^(5) t e^(-jπnt/5) dt

Evaluating this integral using integration by parts, we get:

c_n = (1/π^2n^2)(-1)^n [2e^(jπn) - 2]

Therefore, the Fourier series of y(t) = t is:

y(t) = a_0 + ∑_(n=1)^∞ (c_n e^(jnω_0 t) + c_{-n} e^(-jnω_0 t))

where a_0 = c_0 = 0, and

c_n = (1/π^2n^2)(-1)^n [2e^(jπn) - 2], c_{-n} = (1/π^2n^2)(-1)^n [2e^(-jπn) - 2]

Therefore, the Fourier series of y(t) = t is:

y(t) = ∑_(n=1)^∞ [(1/π^2n^2)(-1)^n [2e^(jπn) - 2] e^(jnπt/5) + (1/π^2n^2)(-1)^n [2e^(-jπn) - 2] e^(-jnπt/5)].

This series converges to y(t) = t for -5 < t < 5.

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Answer:

1000 grams of fish= 1500 calories

1334 grams of fish= 2001 calories

1 gram of fish= 1.5 calories

The probability that the number of homicide deaths for a randomly selected day is:

a) 0: 0.18,

b) 1: 0.35,

c) 2: 0.27

The Poisson distribution is used to simulate the likelihood that a certain number of events will occur within a predetermined window of time or space.

In this instance, the Poisson distribution can be used to simulate the number of homicide deaths that occurred in Richmond, Virginia over the course of a year.

The Poisson distribution can be used to determine the likelihood of 0, 1, and 2 homicides happening on any given day.

One homicide occurs on a randomly chosen day with a 0.18 percent chance, one homicide occurs on a randomly chosen day with a 0.35 percent chance, and two homicides occur on a randomly selected day with a 0.27 percent chance.

Complete Question:

In one year, there were 116 homicide deaths in Richmond, Virginia. Using the Poisson distribution, find the probability that the number of homicide deaths for a randomly selected day is:

a) 0

b) 1

c) 2

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Answer:

2.2

Step-by-step explanation:

\(\log194 = \log_{10}(194) = 2.2\)

The statistical method that is used for identifying the cost behavior is  (e) Least Squares regression method .

The Least Squares Regression method is defined as a statistical technique that is used to determine the relationship between two variables, which are , "the cost" and its "corresponding activity level" .

This method also involves plotting data points on a scatter diagram and fitting a straight line to data points.

The line that best fits data is line that minimizes sum of squared vertical distances between the data points and the line, this is why it is called the Least Squares regression method.

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The given question is incomplete , the complete question is

A statistical method for identifying cost behavior is the:

(a) Scatter diagram method

(b) High low method

(c) Composite method

(d) CVP charting method

(e) Least Squares regression method

Using proportions, the amounts are given as follows:

a) Number of weeks: 17.

b) Number of fortnights: 8.5.

a) Number of days studied: 51.

b) Number of hours studied: 102.

A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures in the context of a problem.

Using a calendar, the number of weeks between these two dates is of:

17.

A fortnight is composed by two weeks, hence the number of fortnights is:

17/2 = 8.5.

You studied 3 days a week, hence the number of days studying was of:

17 x 3 = 51 days.

You studied 2 hours a hence, hence the number of hours studying was of:

51 x 2 = 102 hours.

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Answer: 7^8

Step-by-step explanation:

Answer:

Option C is the correct answer

C) 150 m

Step-by-step explanation:

Speed = Distance ÷ Time

Distance = Speed × Time

d = 10 × 15

d = 150 m

Thus, The speed of the object is 150 m.

Answer:

d=150m

Step-by-step explanation:

Speed = Distance /Time 

10= d/155

d= 150m

What is h?

maybe 25%

i hope it helped you sorry if it didn't

Answer:

25%

Step-by-step explanation:

Given the volume = \(\frac{1}{8}\) cm³

and the volume of the cube with side x = x³, then

x³ = \(\frac{1}{8}\) ← take the cube root of both sides

\(\sqrt[\sf 3]{\sf x^3}\) = \(\sqrt[\sf 3]{\sf \frac{1}{8} }\)

Note that \(\sf \frac{1}{8}\) = \(\sf \frac{1}{2}\) × \(\sf \frac{1}{2}\) × \(\sf \frac{1}{2}\)

Hence

x = \(\sf \frac{1}{2}\) → C

The side length 'x' of a cube with a volume of 1/8 cm³ is 1/2 cm, so the correct answer is C. x=1/2 cm.

The volume of a cube is given by the formula V = s³, where 'V' represents the volume and 's' represents the side length of the cube. In this question, it is given that the volume ('V') of the cube is 1/8 cm³. Thus, to find the value of 'x', which represents the side length of the cube, we set up the equation 1/8 = x³. Solving this equation results in the answer x = 1/2 cm because the cube root of 1/8 is 1/2. Therefore, the correct answer is C. x=1/2 cm.

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The linearized form of the function \(\(x^{2}+\sin(x)\)\) for x near 1.1 radians is \(\(f(x)\approx1.31002+2.45360(x-1.1)\)\)

The function \(\(x^{2}+\sin(x)\)\) needs to be linearized for x near 1.1 radians.

To linearize the given function, follow the steps below:

Step 1: Find the first derivative of the given function which is

\(\(f(x)=x^{2}+\sin(x) \) \(\frac{d}{dx}f(x)=2x+\cos(x)\)\)

Step 2: Compute the value of the function at

\(\(x=1.1\)\(f(1.1)=(1.1)^{2}+\sin(1.1) \)\(f(1.1)\approx1.31002\)\)

Step 3: Compute the value of the first derivative at

\(\(x=1.1\)\(\frac{d}{dx}f(x)=2x+\cos(x)\)\(\frac{d}{dx}f(1.1)=2(1.1)+\cos(1.1) \)\(\frac{d}{dx}f(1.1)\approx 2.45360\)\)

Step 4: Substitute the values obtained in Steps 2 and 3 into the linearization formula,

\(\(f(x)\approx f(a)+f'(a)(x-a) \)where \(a=1.1\) and \(x\) is near \(1.1\).\)

Substituting the values,

\(\(f(1.1)\approx 1.31002\) and \(\frac{d}{dx}f(1.1)\approx 2.45360\)\)

we get,

\(\(f(x)\approx1.31002+2.45360(x-1.1)\)\)

This is the linearized form of the function \(\(x^{2}+\sin(x)\)\) for x near 1.1 radians.

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Take notes and pay attention since just slacking off for only 10 minutes can get you behind and struggling.

Answer:

Think you alredy said the answer.

Step-by-step explanation:

Answer:

6x^2+12x+29+50/x-2

Step-by-step explanation:

Answer:

The answer is 1/3

Answer:

1/3

Step-by-step explanation:

The factors of 5 are 1,5;

* The factors of 15 are 1,3,5,15.

We can see that the GCD is 5 because it is the largest number by which 5 y 15 can be divided without leaving any residue.

To reduce this fraction, simply divide the numerator and denominator by 5 (the GCF).

So, 5 /15

= 5÷5 /15÷5

= 1 /3

The reason for each step to justify it is:

Division Property of Equality: This step involves dividing both sides of the equation by 4 to isolate the variable term on one side of the equation.

The step involved here is: (w+25)/4

Multiplication Property of Equality: This step involves multiplying both sides of the equation by 4 to simplify the equation and cancel out the denominator.
The step involved here is: 4*(w+25)

Addition Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term on one side of the equation.

The step involved here is: w+25

Simplifying: This step involves simplifying the expression by combining like terms and performing arithmetic operations to simplify the equation.

The step involved here is: w+25-25=12-25

Subtraction Property of Equality: This step involves subtracting 25 from both sides of the equation to isolate the variable term and solve for the variable.

The step involved here is: w=-13

What is meant by division?

Division is a mathematical operation that involves splitting a quantity into equal parts or groups. It is represented by the symbol ÷ or / and is the inverse operation of multiplication. Division can be used to solve problems related to sharing, fractions, and ratios.

What is meant by multiplication?

Multiplication is a mathematical operation that involves adding a number to itself a certain number of times. It is represented by the symbol × or * and is the inverse operation of division. Multiplication can be used to solve problems related to scaling, area, volume, and rates.

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Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

The indicated coefficients are:

\(c_2 = -(-2) = 2\)

\(c_4 = 5/2\)

\(c_5 = -22\)

To find the power series solution of the differential equation about x = 0, we assume that the solution has the form:

y(x) = ∑(n=0 to infinity) \(c_n x^n\)

where \(c_n\) are the coefficients of the power series.

Differentiating y(x), we get:

y'(x) = ∑(n=1 to infinity) \(n c_n x^{(n-1)}\)

Next, we substitute y(x) and y'(x) into the differential equation:

(\(x^2\) - x + 1)y' - y + 8y = 0

(\(x^2\) - x + 1) ∑(n=1 to infinity)\(n c_n x^{(n-1)}\) - ∑(n=0 to infinity)\(c_n x^n\) + 8∑(n=0 to infinity)\(c_n x^n\) = 0

Simplifying this expression and grouping the terms with the same power of x, we get:

∑(n=1 to infinity) \(n c_n x^n (x^2 - x + 1)\)+ ∑(n=0 to infinity) \((8c_n - c_{(n+1)}) x^n\) = 0

Since this equation holds for all values of x, we must have:

\(n c_n (n+1) - (n+2) c_(n+2) + 8c_n - c_(n+1) = 0\)

for all n ≥ 0, where we have set \(c_{(-1){ = 0\)and \(c_{(-2)}\)= 0.

Using the initial conditions y(0) = 0 and y'(0) = 4, we have:

\(c_0 = 0\)

\(c_1 = y'(0) = 4\)

Substituting these values into the recurrence relation, we can recursively find the coefficients of the power series solution:

\(n = 0: 0 c_0 - 2 c_2 + 8 c_0 - c_1 = 0 = > c_2 = (4-8c_0+c_1)/(-2) = -2\)

\(n = 1: 1 c_1 - 3 c_3 + 8 c_1 - c_2 = 0 = > c_3 = (9c_1-c_2)/3 = 6\)

\(n = 2: 2 c_2 - 4 c_4 + 8 c_2 - c_3 = 0 = > c_4 = (10c_2-c_3)/(-4) = 5/2\)

\(n = 3: 3 c_3 - 5 c_5 + 8 c_3 - c_4 = 0 = > c_5 = (11c_3-c_4)/5 = -22/15\)

\(n = 4: 4 c_4 - 6 c_6 + 8 c_4 - c_5 = 0 = > c_6 = (9c_4-c_5)/(-6) = -64/45\)

Hence, the power series solution of the differential equation about x=0 is:

\(y(x) = 4x + 2x^2 - 4x^3 + 23x^4 - 44/9 x^5 + 24/5 x^6 - 326/315 x^7 + ...\)

Therefore, the indicated coefficients are:

\(c_2 = -(-2) = 2\)

\(c_4 = 5/2\)

\(c_5 = -22\)

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Answer:

1) 42.51

2) 39.76

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=\( \frac{a²+c²-b²}{2ac} \)

Cos B=\( \frac{42.51²+20²-30²}{2*42.51*20} \)

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

The answer is

950

Hope it helps.

The length of side LJ is 12.41.

Since triangle XYZ is similar to triangle JKL, we know that the corresponding sides are proportional. This means that the ratio of the lengths of the sides in triangle XYZ to the corresponding sides in triangle JKL is constant. We can use this fact to solve for the length of side LJ.

Let k be the constant of proportionality. Then we have:

XY / JK = YZ / KL = ZX / LJ = k

Substituting the given values, we have:

8.7 / 13.05 = 7.8 / KL = 8.2 / LJ

Solving for KL and LJ, we get:

KL = (7.8 x 13.05) / 8.7 = 11.70

LJ = (8.2 x 13.05) / 7.8 = 12.41

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