Write the equation of a sine or cosine function to describe the graph. 0 A 9 B 0=0 X 00 믐 sin ☐cos

Answer:

95

Step-by-step explanation:

The population in order to calculate the mean height will be all the students attending the college.

The population is the entire group of individuals being studied. In this case, the population is all the students who goes to the college.

Every member of a group constitutes a population. It is the inverse of a sample, which is a percentage or proportion of a group. It is sometimes possible to poll every member of a group. The U.S. Census is a quintessential example of a population, as it is required by law that every member of the U.S. population reply. In most circumstances, surveying everyone is unfeasible in statistics.

Consider how long it would take you to phone every dog owner in the United States to find out what brand of dog food they preferred. Furthermore, people may choose not to respond or may forget to respond, resulting in incomplete censuses. By definition, incomplete censuses become samples.

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Step-by-step explanation:

the slower plane travels x km in 3 hours.

the faster plane travels x + 3×68 = x + 204 km in 3 hours.

x + x + 204 = 5052 km

2x = 4848 km

x = 2424 km (in 3 hours).

so, the slower plane's speed is 808 km/h.

the faster plane's speed is 808 + 68 = 876 km/h.

Solution

Now

Add and subtract

The population density in Massachusetts is approximately 3 deer per square kilometer.

To calculate the population density in deer per square kilometer, we need to convert the given information to appropriate units.

First, we need to convert the number of hectares (128h) to square kilometers. Since 1 hectare is equal to 0.01 square kilometers, we can calculate:

128h * 0.01 km²/h = 1.28 km²

Next, we need to determine the population density by dividing the average number of deer (3.85) by the area in square kilometers (1.28):

Population density = 3.85 deer / 1.28 km² ≈ 3 deer/km²

Therefore, the population density in Massachusetts is approximately 3 deer per square kilometer.

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The total number of possible 7-place license plates are 67600000.

Given: A 7-plate license plate. 2 places are for letters and 5 places are for numbers. To find how many different 7-plate license plates are possible

Let's solve the given problem:

The license plate has 7 places. 2 places are for letters and the remaining 5 places are for numbers.

Therefore, the total number of ways in which the 7-place license plate can fill are: Total possible ways in which the two letters can be filled × Total possible ways in which the 5 number places can be filled

= 676 × 100000

= 67600000 ways

Hence the total number of possible 7-place license plates are 67600000.

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The numbers below can be classified as follows:

Rational numbers are numbers that can be expressed as the ratio of two integers, where the denominator should not be equal to zero.

An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.

Whole numbers is a collection of all the basic counting numbers and 0.

Example of whole numbers are 0, 1 , 2, 3, 4...

Therefore,

-5 is an integer and rational  number.

-0.151 is a rational number.

72.72 is a rational number.

-5.236 is a rational number.

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Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. \(cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}\)

Using a calculator x is about 13.05

Using tangent we can find the length opposite of <C

\(tan(40)=\frac{x}{10} \\tan(40) (10)=\frac{x}{10}(10)\\tan(40) (10) = x\)

Using a calculator x would be about 8.4

Answer:

Step-by-step explanation:

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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Answer:

Its gonna be 50

Step-by-step explanation:

Answer: i think 1/4

Step-by-step explanation: maybe i might be incorrect

Answer:

3/4 or 1 1/2

This is an easy mutiplixation problem

you just turn the 2 into a fraction.

Respuesta: Uno

La suma de la probabilidad de todos los resultados posibles de un experimento aleatorio debe ser igual a uno.

Porque algunos resultados más ocurren en cada sendero y la suma de todas las probabilidades es 100% o uno.

Espero haber ayudado, buena suerte! :)

The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

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Answer:

12 is the GCF..........

Answer:

12

Step-by-step explanation:

listing the factors

12 : 1, 2, 3, 4, 6, 12

24 : 1, 2, 3, 4, 6, 8, 12, 24

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 4, 6, 12

The GCF is 12

Answer:

108

Step-by-step explanation:

do 60 divided by 5 and you get 12 so that = 1 pizza then do

12 x 9 to get 108

Answer:

108

Step-by-step explanation:

60 / 5

1 pizza would cost 12

9 × 12 is 108

Answer:

5 men

Step-by-step explanation:

4m × 4h = 12

xm × 8h=36

x m = 4.5

The result of evaluating 67.8046 + 8.264 - 243.5 is -167.431

The expression is given as:

67.8046 + 8.264 - 243.5

The highest number of significant figures in the expression is 6 (i.e. 67.8046)

This means that the result must be in 6 significant figures.

Next, we evaluate the expression as follows:

67.8046 + 8.264 - 243.5 = -167.4314

Approximate to 6 significant figures.

67.8046 + 8.264 - 243.5 = -167.431

Hence, the result of evaluating 67.8046 + 8.264 - 243.5 is -167.431

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...................15?

====================================================

Explanation:

5 & 1/3 is the mixed number with 5 as the whole part and 1/3 as the fractional part

Let's convert to an improper fraction

5 & 1/3 = 5 + 1/3

5 & 1/3 = 5*(3/3) + 1/3

5 & 1/3 = 15/3 + 1/3

5 & 1/3 = (15+1)/3

5 & 1/3 = 16/13

The mixed number 5 & 1/3 is equivalent to the improper fraction 16/3

-------------------

Each serving is 7/8 cup

x of these servings is (7/8)x

x is the number of servings in a full container, so

(7/8)x = 16/3

x = (16/3)*(8/7)

x = (16*8)/(3*7)

x = 128/21

x = 6.0952 approximately

x = 6 when rounding to the nearest whole number

So the container is about 6 servings.

The solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

As per data the system of linear equations,

\(\[ \left\{\begin{array}{c} x+2 y+3 z=9 \\ 2 x-y+z=8 \\ 3 x-z=3 \end{array}\right. \] 1)\)

Write the system in the matrix form \(\( A . X=B \)\)

We know that the matrix form of the system of linear equations is as follows.

\(\[A. X = B\]\)

Where

\(\[A=\begin{pmatrix} 1 & 2 & 3 \\ 2 & -1 & 1 \\ 3 & 0 & -1 \end{pmatrix}\[X=\begin{pmatrix} x \\ y \\ z \end{pmatrix}\]\)

and

\(\[B=\begin{pmatrix} 9 \\ 8 \\ 3 \end{pmatrix}\]2)\)

To solve the system, we can use row reduction method.

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 2 & -1 & 1 & 8 \\ 3 & 0 & -1 & 3 \end{pmatrix}\]\)

Applying the elementary row operations

\(\[R_{2}\to R_{2}-2R_{1}\]\)

and

\(\[R_{3}\to R_{3}-3R_{1}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & -6 & -10 & -24 \end{pmatrix}\]\)

Now applying the elementary row operations

\(\[R_{3}\to R_{3}-(6/5)R_{2}\]\)

we get,

\(\[\begin{pmatrix} 1 & 2 & 3 & 9 \\ 0 & -5 & -5 & -10 \\ 0 & 0 & -1 & -2 \end{pmatrix}\]\)

Now, we need to apply back substitution method. Using the third row, we can get the value of z as z = 2.

Now, using the second row,

\(\[-5y - 5z = -10\]\\\-5y - 5(2) = -10\]\)

Solving this equation, we get y = 0.

Finally, using the first row, we can get the value of x as

\(\[x + 2y + 3z = 9\]\\x = 3\]\)

Hence, the solution of the system of equations is \(\[x=3,\text{ }y=0,\text{ and }z=2\]\).

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a. The values of x for which the slope of the curve y = f(x) is 0 are x = 5

b.  The value of x for which the slope is -14 is x = -2.

To find the values of x for which the slope of the curve y = f(x) is 0, we need to find the x-values where the derivative of f(x) is equal to 0.

a. Finding x when the slope is 0:

Given \(f(x) = x^2 - 10x - 4,\) we need to find f'(x) and set it equal to 0.

f'(x) = 2x - 10

Setting f'(x) = 0:

2x - 10 = 0

2x = 10

x = 10/2

x = 5

Therefore, the slope of the curve y = f(x) is 0 at x = 5.

b. Finding x when the slope is -14:

We need to set the derivative of f(x) equal to -14 and solve for x.

2x - 10 = -14

2x = -14 + 10

2x = -4

x = -4/2

x = -2

Therefore, the slope of the curve y = f(x) is -14 at x = -2.

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The required ordered pair represents the center of the new circle after the transformation is (-x,y). Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

Here,
If a circle is reflected across the y-axis, its center, which was originally located at (x, y), will move to a new location that is the same distance from the y-axis but on the opposite side. Since the y-coordinate does not change during a reflection across the y-axis, the y-coordinate of the new center will remain the same as the original, which is y.

However, the x-coordinate will be negated, since the reflection across the y-axis involves flipping points to the opposite side of the y-axis. Therefore, the center of the new circle will have the coordinates (-x, y).

So the answer is A) (-x, y).

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Answer:$917.58.

Step-by-step explanation:

The formula for compound interest is A = P(1 + r/n)^(nt) where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the initial deposit is $500, the annual interest rate is 4%, the number of times compounded per year is 12 (monthly), and the number of years is 12.

So, we can plug in the values into the formula:

A = $500(1 + 0.04/12)^(12*12) = $500(1.003333333)^(144) = $500(1.835170816) = $917.585

The final amount in her account after 12 years is $917.58

To round to the nearest cent, we can use the following method:

If the digit in the thousandths place is less than 5, we keep the hundredths digit as is.

If the digit in the thousandths place is greater than 5, we round up the hundredths digit.

In this case the digit in the thousandths is 5 so, we have to round up the hundredths digit of $917.58.

So, the final amount in her account after 12 years is $917.59.

Answer: $800.516

Step-by-step explanation:

We use the equation

A = P(1 + )^nt

P = principal

r = rate of interest

t = times

Now let's solve

P = $500

r = 4% = 0.04

t = 12 years

A = $500(1 +\(\frac{0.04}{12}\) ) ^12 = $800.516

Answer:

0, -10

Step-by-step explanation:

The value of the definite integral ∫[a to b] 60te^(-t) dt is -60be^(-b) + 60ae^(-a) - 60e^(-b) + 60e^(-a).

To evaluate the definite integral ∫60te^(-t) dt using integration by parts, we will apply the integration by parts formula:

∫u dv = uv - ∫v du,

where u and v are functions of t, and du and dv are their respective differentials.

Let's assign u = t and dv = 60e^(-t) dt. Then, we can determine du and v:

du = dt (the differential of u)
v = ∫dv = ∫60e^(-t) dt

To find v, we can integrate dv:

∫60e^(-t) dt = -60e^(-t)

Now, we can apply the integration by parts formula:

∫60te^(-t) dt = uv - ∫v du
= t(-60e^(-t)) - ∫(-60e^(-t)) dt
= -60te^(-t) + 60∫e^(-t) dt
= -60te^(-t) - 60e^(-t) + C,

where C is the constant of integration.

Since we are evaluating a definite integral, we can now substitute the limits of integration into the antiderivative expression and compute the result. Let's assume the limits are a and b:

∫[a to b] 60te^(-t) dt = [-60te^(-t) - 60e^(-t)] evaluated from a to b
= (-60be^(-b) - 60e^(-b)) - (-60ae^(-a) - 60e^(-a))
= -60be^(-b) + 60ae^(-a) - 60e^(-b) + 60e^(-a).

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Answer:

A.24

Step-by-step explanation:

3cm × 4cm = 12 × 2 = 24 that's why my answer is A pls tell me if you get it right or I make a mistake.

Determining the probability of repayment is not solely determined by the interest rate spread, but also relies on factors such as borrower creditworthiness, loan terms, and the lender's risk assessment methods.

To determine the loan company's expected probability of repayment, we can analyze the interest rate spread between what they charge (15%) and what they borrow at (10%).

The interest rate spread represents the lender's profit margin and accounts for various factors such as default risk, operating costs, and desired return on investment.

In this case, with an interest rate spread of 5% (15% - 10%), the loan company expects to cover its costs and generate profit by lending money to consumers. The wider the interest rate spread, the greater the lender's expected profit.

However, the exact probability of repayment cannot be determined solely based on the interest rate spread. It also depends on other factors like the creditworthiness of borrowers, loan terms, and risk assessment methods employed by the lender.

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Answer:

Question 2: 6x-21

Question 1: -9x+3

Step-by-step explanation:

Answer:

The expression is A that is -b

The integral ∫(-∞, ∞) 5xe^(-x^2) dx is convergent and has a value of -5/2 * √π.

To determine whether the integral is convergent or divergent and evaluate it if convergent, consider the integral ∫(-∞, ∞) 5xe^(-x^2) dx.
1: Break the integral into two parts.
∫(-∞, ∞) 5xe^(-x^2) dx = ∫(-∞, 0) 5xe^(-x^2) dx + ∫(0, ∞) 5xe^(-x^2) dx
2: Check for convergence using the Comparison Test.
Let f(x) = 5x and g(x) = e^(-x^2). Since f(x) and g(x) are both non-negative functions, we can use the Comparison Test. Note that g(x) is a Gaussian function, which converges. Moreover, f(x) is a linear function, which is dominated by g(x) for large x. Thus, the product of f(x) and g(x) converges.
3: Evaluate the integral.
Since the integral converges, we can apply the Gaussian integral technique. To do this, first perform integration by parts:
Let u = x, dv = 5e^(-x^2) dx.
Then, du = dx, and v = -5/2 * e^(-x^2).
Now, apply integration by parts formula: ∫udv = uv - ∫vdu.
∫(-∞, ∞) 5xe^(-x^2) dx = [-5/2 * xe^(-x^2)](-∞, ∞) - ∫(-∞, ∞) -5/2 * e^(-x^2) dx.
The first term [-5/2 * xe^(-x^2)] goes to zero at both -∞ and ∞ due to the exponential term. The remaining integral is a Gaussian integral, which has a known value:
∫(-∞, ∞) -5/2 * e^(-x^2) dx = -5/2 * √π.

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