a newspaper company is selecting four houses to receive a free newspaper on your block. there are 10 houses on your block that are numbered 1-10. what is the probability that the four houses selected for a free newspaper will all be even numbered houses?

Answer: A random variable.

Step-by-step explanation:

a numerical description of the outcome of an experiment is called a random variable.

Answer:

-4 degrees

Step-by-step explanation:

You subtract 14-18

To show that j(x) and k(x) are inverse functions, we show that the following condition holds.

Similarly:

Therefore, they are inverses.

(c) To find the z-value for an adult who sleeps 6 hours per night, we need the mean and standard deviation of the sleep distribution. Without this information, we cannot calculate the z-value.

(a) To use the empirical rule, we assume that the distribution of sleep follows a bell-shaped or normal distribution. The empirical rule states that for a normal distribution:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

Given that the mean and standard deviation are not provided, we cannot calculate the exact percentages using the empirical rule.

(b) To find the z-value for an adult who sleeps 8 hours per night, we need the mean and standard deviation of the sleep distribution. Without this information, we cannot calculate the z-value.

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Answer:

7: $26.40

Step-by-step explanation:

I'm only going to give you the direct answer, and number 8 isnt clear.

The probability that exactly four of the selected bulbs from the pack of 10 bulbs is defective is 1/120.

For the given question;

Thus, the probability that exactly four of the selected is defective.

P = ⁴C₄  / ¹⁰C₃

P = 1/120

Thus, the probability that exactly four of the selected is defective is 1/120.

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The correct statement is that F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).

Value of subjective concept that refers to the word of important that an individual group of people places on the something it is often associated with principal beliefs and the standard that are accepted by society when you can be seen as a matter of how important something is true person of organization it is often seen as a reflection of funds for view and can help to save decision.

This can be seen by looking at the function's minimum and maximum values and its points of intersection with the x- and y-axes. The minimum value of (1.9, negative 5.7) is to the left of the x-axis, indicating that the function is negative over the interval (-0.7, 0.76). The maximum value of (0, 2) is above the x-axis, indicating that the function is negative over the interval (2.5, ∞).

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The image of the coordinates after a dilation of (9, −7) by a scale factor of 4 centered at the origin include the following: (36, -28).

In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.

Next, we would have to dilate the coordinates of the preimage (9, -7) by using a scale factor of 4 centered at the origin as follows:

Coordinate A (9, -7) → Coordinate A' (9 × 4, -7 × 4) = Coordinate A' (36, -28).

In conclusion, the coordinates of the image after a dilation are  (36, -28).

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Answer:

cos(58)

Step-by-step explanation:

i just randomly pressed numbers until it matched

We can use polar coordinates to perform this integration:
x = r*cos(θ)
y = r*sin(θ)
x^2 + y^2 = r^2
First, we integrate with respect to r:
∫[r^2 * ln(r^2) / 2 - r^2 / 4] from 1 to 10

Now, we evaluate the integral:
[(10^2 * ln(10^2) / 2 - 10^2 / 4) - (1^2 * ln(1^2) / 2 - 1^2 / 4)] = 50 * ln(100) - 25

Now, we integrate with respect to θ:
∫(50 * ln(100) - 25) dθ from 0 to 2π

Since this is a constant, the integral becomes:
(50 * ln(100) - 25) * (2π - 0) = 100π * ln(10) - 50π

Thus, the final answer is: 100π * ln(10) - 50π.

To solve this problem, we need to integrate f(x,y) = In(x2 + v2 / x2 + y2) over the given region, which is the set of all points (x,y) such that 1 < x2 + y2 < 100.

We can rewrite the integrand as In[(x2 + v2) / (x2 + y2)] = In(x2 + v2) - In(x2 + y2).

Using polar coordinates, we have x2 + y2 = r2 and the region is described by 1 < r < 10. Thus, the integral becomes:

∫∫(1 < r < 10) [In(x2 + v2) - In(x2 + y2)] r dr dθ

Integrating with respect to θ gives a factor of 2π, so we have:

2π ∫(1 < r < 10) [In(x2 + v2) - In(x2 + y2)] r dr

= 2π [∫(1 < r < 10) In(x2 + v2) r dr - ∫(1 < r < 10) In(x2 + y2) r dr]

To evaluate these integrals, we can use the substitution u = x2 + v2 (for the first integral) and u = x2 + y2 (for the second integral). Then, we have:

∫(1 < r < 10) In(x2 + v2) r dr = ∫(1 < u < 100+v2) In(u) du / 2v

∫(1 < r < 10) In(x2 + y2) r dr = ∫(1 < u < 100) In(u) du / 2

Plugging these into our expression for the integral and simplifying, we get:

2π [(In(100+v2) - In(2v)) / 2v - In(10) / 2]

= π In[(100+v2) / (40v2)]

Therefore, the answer is D. 2rt In 10.

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Answer:

Step-by-step explanation:

The x-intercepts are the points with y- coordinate of 0

a) x-intercepts are

b) midpoint of x-intercepts is

c) The extheme value has x- coordinate of - 2.5 and y- coordinate

d) f(- 2.5) = - 30.25

Answer:

\(\sf a) \quad x = -8 \:\:and \:\:x = 3\)

\(\sf b) \quad \left(-\dfrac{5}{2},0\right)\)

\(\sf c) \quad \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)

\(\sf d) \quad f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)

Step-by-step explanation:

Part (a)

The x-intercepts are the x-values when the curve crosses the x-axis, so when the function is equal to zero:

\(\implies f(x)=0\)

\(\implies (x-3)(x+8)=0\)

Therefore:

\((x-3)=0 \implies x=3\)

\((x+8)=0 \implies x=-8\)

Therefore, the x-intercepts are x = -8 and x = 3

Part (b)

\(\textsf{Midpoint}=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)\quad \textsf{where}\:(x_1,y_1)\:\textsf{and}\:(x_2,y_2)\:\textsf{are the endpoints}}\right)\)

\(\sf \implies Midpoint=\left(\dfrac{-8+3}{2},\dfrac{0+0}{2}\right)=\left(-\dfrac{5}{2},0\right)\)

Therefore, the midpoint of the x-intercepts is (-5/2, 0)

Part (c)

The extreme value is the vertex.  The vertex is:

The x-coordinate of the vertex is the x-value of the midpoint of the x-intercepts.  Therefore, the x-value of the extreme value is x = -5/2.

To find the y-coordinate, substitute this into the given equation:

\(\implies \sf y=\left(-\dfrac{5}{2}-3\right)\left(-\dfrac{5}{2}+8\right)=-\dfrac{121}{4}\)

Therefore, the extreme value is:

\(\sf \left(-\dfrac{5}{2},-\dfrac{121}{4}\right)\)

Part (d)

The function in vertex form is:

\(\sf f(x)=\left(x+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\)

\(\begin{aligned}\implies \sf f\left(-\dfrac{5}{2}\right)& = \sf \left(-\dfrac{5}{2}+\dfrac{5}{2}\right)^2-\dfrac{121}{4}\\\\ & = \sf 0 -\dfrac{121}{4}\\\\ & = \sf -\dfrac{121}{4} \end{aligned}\)

In order to determine the validity of a second-order approximation for the two transfer functions, \(G(s) = 700/(s+15)(s²+4s+100) and G(s) = 360 (s+4)(s²+2s+90),\)we will first look at the criteria required for the approximation to be valid.

Second-order approximation for the transfer function is valid if it satisfies the following criteria: The poles of the transfer function must have a negative real part.

The transfer function must have at least one pair of complex conjugate poles or two pairs of real poles.

The poles of the transfer function should be widely spaced relative to the bandwidth of the system.

Let's first determine the validity of a second-order approximation for the transfer function G(s) = 700/(s+15)(s²+4s+100)The transfer function G(s) = 700/(s+15)(s²+4s+100) can be rewritten as G(s) = 35/(s+15) - 14s+20 - 11.9j)/[(s+15)² + (11.9)²]By inspection, we can observe that the poles of the transfer function are s = -15 and s = -2 + 11.9j and s = -2 - 11.9j.

We can see that the poles of the transfer function G(s) have negative real parts which satisfies the first criterion. The transfer function G(s) has a pair of complex conjugate poles which satisfies the second criterion. Also, the poles of the transfer function are widely spaced relative to the bandwidth of the system which satisfies the third criterion.

\(Therefore, a second-order approximation for the transfer function G(s) = 700/(s+15)(s²+4s+100) is valid.\)

Now, let's determine the validity of a second-order approximation for the transfer function\(G(s) = 360 (s+4)(s²+2s+90)\)

The transfer function \(G(s) = 360 (s+4)(s²+2s+90)\)can be written as \(G(s) = 180(s+4)/[s² + 2s + 90]\)By observation, we can see that the poles of the transfer function are\(s = -1 + 9.48j and s = -1 - 9.48j.\)

We can see that the poles of the transfer function G(s) do not have negative real parts, which violates the first criterion for a second-order approximation for a transfer function.

Therefore, a second-order approximation for the transfer function\(G(s) = 360 (s+4)(s²+2s+90) is not valid.\)

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Answer:Ross can fill the balloon for 0.2 seconds before it pops.

Step-by-step explanation:

Sure thing! Let's calculate the answer to your math problem. The formula to calculate the volume of a sphere is V = (4/3)πr^3, where r is the radius. Since we know that the maximum radius of the balloon is 5 inches, we can calculate the maximum volume of the balloon, which is V = (4/3)π(5)^3 = 523.6 cubic inches.

Now, we need to calculate the time it takes to fill up 523.6 cubic inches of water using a garden hose with a flow rate of 12 gallons per minute. First, we need to convert the volume to gallons, which is 523.6/231 = 2.265 gallons.

Next, we can use the formula: time = volume / flow rate. Plugging in the values, we get time = 2.265 / 12 = 0.189 seconds. Rounded to the nearest tenth of a second, Ross can fill the balloon for 0.2 seconds before it pops. I hope that helps!

The line perpendicular to the x-axis that passes through the point (h, k) is:

y = k

Sadly we don't know the coordinates of the point, so i will use a general point (h, k).

We want to find a line perpendicular to the x-axis (so we must have a vertical line).

Then the line is of the form:

y = constant.

And if we want this line to pass through the point (h, k), then the constant must be equal to the y-coordinate of the point, which is h.

Then the linear equation is y = k.

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When multiplying integers, the rules for determining the sign of the product are as follows:

1. If both integers have the same sign (either both positive or both negative), the product will be positive.

2. If one integer is positive and the other is negative, the product will be negative.

3. When multiplying zero by any integer, the product is always zero.

Remember to always multiply the absolute values of the integers and then determine the sign of the product based on the rules above.

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The length of the longest side is solved to be 3.76 cm

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0.

The perimeter o the quadrilateral have a formula that add all the sides together, assuming the factor of the original length is x, the perimeter is solved by

9.6 = 3x + 5x + 6x + 9x

9.6 = 23x

x = 9.6 / 23

x = 0.4174

The length of the longest side

= 9x

= 9 * 0.4174

= 3.76 cm

3.76 cm is the length of the longest side

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The distributive Property States that when a factor exists multiplied by the sum/addition of two terms, it exists critical to multiply each of the two numbers by the factor, and eventually complete the addition operation.

Let the expression be 4+(6+8u)

4 + (6 + 8u) = (4 + 6) + 8u

The distributive Property States that when a factor exists multiplied by the sum/addition of two terms, it exists critical to multiply each of the two numbers by the factor, and eventually complete the addition operation.

Adding (distributing) the first numbers of each set, outer numbers of each set, inner numbers of each set, and the last numbers of each set. Combine like terms. Solve the equation and simplify, if needed.

The expression be 4+(6+8u)

4+(6+8u) = (4 + 6)+8u

Therefore, the correct answer is distributive property.

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We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.

Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.

However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

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Answer:

6

Step-by-step explanation:

These are similar triangles, which means the side lengths are proportional!

30:5=6, so there is a scale factor of six.

36/6 is six!

Answer:

PR = 6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

\(\frac{AC}{PR}\) = \(\frac{BC}{QR}\) ( substitute values )

\(\frac{36}{PR}\) = \(\frac{48}{8}\) = 6 ( multiply both sides by PR )

6 PR = 36 ( divide both sides by 6 )

PR = 6

Step-by-step explanation:

\(2x + 8 = 26 \\ \)

\(2x + 8 - 8 = 26 - 8\)

\(2x = 18\)

\(x = \frac{18}{2} \\ \)

\(x = 9\)

Answer:

Step-by-step explanation:

\(\tt 2x + 8 = 26\)

Subtract 8 from both sides:-

\(\tt 2x+8 \bf{-8}= \tt 26 \bf{-8}\)

\(\tt 2x=18\)

Divide both sides by 2:-

\(\tt \cfrac{2x}{\bf2}=\cfrac{18}{\bf2}\)

\(\tt x=9\)

___________________

Hope this helps!

Have a great day!

Answer:

  2.76×10^-3 m/s²

Step-by-step explanation:

You want to know the acceleration of the moon toward the Earth, given its distance is 3.8×10^8 meters, Earth's mass is 5.98×10^24 kg, and the gravitational constant is 6.673×10^-11 N·m²/kg².

The acceleration of one body by another is ...

  a = GM/r²

where G is the gravitational constant, M is the body creating the gravitational field, and r is the distance between the masses.

  a = (6.673×10^-11)(5.98×10^24)/(3.8×10^8)² N/kg

  a = (6.673·5.98/3.8²)×10^(-11+24-16) m/s² ≈ 2.76×10^-3 m/s²

Answer:

The new probability of drawing a red marble is ()=.  

Step-by-step explanation:

The sample space change. Each event within the sample space change. The probability of each event changes.

Step-by-step explanation:

step 1. wow! 670° I think you mean 67°

step 2. the 3 internal angles of a triangle add up to 180°. let x be the third angle

step 3. x + 102 + 67 = 180

step 4. x + 169 = 180

step 5. x = 11°.

The volume of the prism is determined as 120 in³.

The volume of the triangular prism is calculated by applying the following formula as shown below;

V = ¹/₂bhl

where;

The volume of the prism is calculated as follows;

V = ¹/₂ x 6 in x 4 in x 10 in

V = 120 in³

,

Thus, the volume of the prism is a function of its base, height and length.

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Answer:  2.78 Yards, 8.33 ft,

Step-by-step explanation:

Answer:

100 in. = 100 inches, 8 feet 4 inches, or 2.77777777778 yards.

Step-by-step explanation:

Answer:

A) 8 cm

Step-by-step explanation:

Cylinder Volume formula:

V = πr²h

72π = π3²h

72π = 9πh

h = (72π)/(9π)

h = 8

100 kernels are randomly selected from a population that is in Hardy-Weinberg equilibrium. 9 yellow kernels and 91 purple kernels are discovered. In this population, the yellow allele is 0.09 times more common.

Both citizens who are physically present in a country or who are temporarily away from it, as well as all foreigners who have permanently emigrated to that country, are included in the phrase "people." This indicator represents the population of a particular area. Growth rates are used to describe the differences in population that occur each year as a result of births, deaths, and net migration. In 2022, Russia had the highest population density in Europe—144.7 people per square mile. In terms of population size, Turkey came in second with 85 million people, followed by Germany with 83.4 million, the United Kingdom with 67.4 million, and France with 65.6 million. Vatican City has a population of just over 800, making it the world's least populous country. Vatican City is the smallest totally sovereign nation-state in the world.

The  frequency is 9/10 or 0.09

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Since the unit circle has a radius of 1 we know that r = 1 and that our angle is 60 degrees. Using sin and cos functions we can then find the x and y coordinates of point A. since  \(cos(\alpha ) = \frac{x}{1}\) and \(sin(\alpha ) = \frac{y}{1}\) (where \(\alpha\) = the angle)

\(A = (x,y) = (cos(a),sin(a))\) because of the identity that cos(a) = x and sin(a) = y

Using the angle and the previously described identity we can find the coordinates with cos(60) = x = 1/2 and sin(60) = y = \(\frac{\sqrt{3} }{2}\) to get A =(x,y) = \((\frac{1}{2},\frac{\sqrt{3} }{2})\).

From here we can work backwards and find that BC = x = \(\frac{1}{2}\) and that AC = y =\(\frac{\sqrt{3} }{2}\) and finally we know that AB = r = 1 because it is a radius of the unit circle and must be 1.

-This probably isn't the way you were taught to solve this problem, but it is how we do it in physics and real-life.

The given ray is a bisector of a given angle.

So, the option (b) is the correct answer.

What is bisector?

Bisection in geometry is the division of an object into two equal or congruent parts, typically by a line, which is then referred to as a bisector. The segment bisector and the angle bisector are the two types of bisectors that are most frequently used.

An angle is divided into two equal parts by a ray known as an angle bisector or angle bisector. For instance, if ray AX divides a 60 degree angle into two equal parts, each measurement will be 30 degrees.

Consider, the given angle.

The given angle is bisects by a ray equally.

Hence, the given ray is a bisector of a given angle.

So, the option (b) is the correct answer.

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The given number, 2.256256256… is equal to the ratio of integers 203063063 / 90000000.

Given that 2.256256256... is a repeating decimal that can be expressed as a ratio of integers. Now we have to express the number as a ratio of integers.

The number 2.256256256… is a repeating decimal that can be expressed as a ratio of integers.

Therefore, we have to convert it into a ratio of integers.

Now, Let x = 2.256256256…(1)

10x = 22.56256256…(2)

Now we subtract (1) from (2) as follows:10x – x = 22.56256256… - 2.256256256…9x = 20.3063063…x = 20.3063063… / 9

Thus, the given number, 2.256256256… is equal to the ratio of integers 203063063 / 90000000.

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