Find the probability that at most 2 females are chosen in the situation described in 6) below
0.464
0.536
0.714
0.822
0.982
If 3 people are chosen at random and without replacement from a group of 5 females and 3 males, the number of females chosen, XX, has probability distribution P(X)P(X) as in the table below.
XX 0 1 2 3
P(X)P(X) 0.018 0.268 0.536 0.178

After the sale of the chickens from Kan, the ratio of Chalerm's, Kan's and Wach's chickens is 220 : 105 : 275.

We are given that the ratio of the number of chickens reared by Chalerm, Kan and Wach is 4:3:5. We can represent this as:Chalerm's chickens : Kan's chickens : Wach's chickens = 4x : 3x : 5x

We know that the total number of chickens is 660. So we can set up an equation to solve for x:4x + 3x + 5x = 660

12x = 660x = 55

Now we know that the number of chickens reared by Chalerm, Kan, and Wach are:Chalerm's chickens = 4x = 4(55) = 220

Kan's chickens = 3x = 3(55) = 165 Wach's chickens = 5x = 5(55) = 275Kan sells 50 of his chickens to Chalerm and 25 chickens to Wach.

After the sale, Chalerm will have 220 + 50 = 270 chickens, and Wach will have 275 + 25 = 300 chickens.

The new ratio of Chalerm's, Kan's and Wach's chickens after the sale is:Chalerm's chickens : Kan's chickens : Wach's chickens = 270 : 165 : 300

Simplifying this ratio by dividing by 15, we get:Chalerm's chickens : Kan's chickens : Wach's chickens = 18 : 11 : 20

Therefore, after the sale of the chickens from Kan, the ratio of Chalerm's, Kan's and Wach's chickens is 18:11:20.

Given that the ratio of the number of chickens reared by Chalerm, Kan and Wach is 4:3:5. Thus, Chalerm has 4x chickens, Kan has 3x chickens and Wach has 5x chickens, where x is some positive constant. The total number of chickens is 660.

Hence,4x + 3x + 5x = 66012x = 660x = 55Chalerm has 4x = 4 × 55 = 220 chickens.Kan has 3x = 3 × 55 = 165 chickens.

Wach has 5x = 5 × 55 = 275 chickens.

Kan sells 50 chickens to Chalerm, so Chalerm has 220 + 50 = 270 chickens.Kan also sells 25 chickens to Wach, so Wach has 275 + 25 = 300 chickens.

So, the ratio of Chalerm's, Kan's and Wach's chickens after the sale is270:165:300 = 18:11:20

Therefore, the ratio of Chalerm's, Kan's and Wach's chickens after the sale is 18:11:20.

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The formula for Average Fixed Cost (AFC) is: AFC = FC / Q. Where FC represents the total fixed costs incurred by a firm and Q represents the quantity of output produced by the firm.

AFC is a per-unit measure of the fixed cost of production, and represents the amount of fixed cost that is attributed to each unit of output. As the quantity of output increases, the AFC decreases, since the fixed costs are spread out over a larger number of units. AFC is an important concept in economics and business, as it is used to calculate other cost measures such as average total cost and average variable cost.

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We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

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Answer:

the answer is 87.96

Step-by-step explanation:

Answer:

87.92 units

Step-by-step explanation:

circumference = D x Pi = 28(3.14) = 87.92

The pieces of wood will be at least 1/2 foot in length and will be 6.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

1/3 has 5 x

1/2 has 4 x

2/3 has 2 x

Pieces that are 1/2 the length and 1/3 the length;

4 pieces with a length of 1/2 feet.

2 pieces have a length of 2.3 feet.

Pieces at least half a foot long:

⇒4 + 2 = 6

Hence, the pieces of wood are at least 1/2 foot in length and will be 6.

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Answer:

-5 = 2x + 11

Step-by-step explanation:

3x - 5 = 5x + 11

→ Minus 5x from both sides

-2x - 5 = 11

→ Add 5 to both sides

-2x = 16

→ Divide both sides by -2

x = -8

The missing Value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

The missing value that, when multiplied by 5/3^4, gives the result of 5^4, we can set up the equation:

(5/3^4) * x = 5^4

To solve for x, we can simplify both sides of the equation. First, let's simplify the right side:

5^4 = 5 * 5 * 5 * 5 = 625

Now, let's simplify the left side:

5/3^4 = 5/(3 * 3 * 3 * 3) = 5/81

Now we have:

(5/81) * x = 625

To solve for x, we can multiply both sides of the equation by the reciprocal of 5/81, which is 81/5:

(81/5) * (5/81) * x = (81/5) * 625

On the left side, the fraction (81/5) * (5/81) simplifies to 1, leaving us with:

1 * x = (81/5) * 625

Simplifying the right side:

(81/5) * 625 = 13125

Therefore, the missing value, x, that when multiplied by 5/3^4 gives the result of 5^4 is 13125.

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Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

D strong negative

Step-by-step explanation:

Answer:

a(66) = -10 + 17(65) = 1095

Step-by-step explanation:

We know that this is an arithmetic sequence.  Subtracting -10 from 7 results in 17; subtracting 7 from 24 also results in 17.  Thus, the common difference, d, is 17.  The first term is -10.

The general form of an arithmetic sequence is a(n) = a(1) + d(n - 1).

Substituting -10 for a(1) and 17 for d, we get:

a(n) = -10 + 17(n - 1)

Now let n = 66:  a(66) = -10 + 17(66 - 1), or    a(66) = -10 + 17(65) = 1095

Substituting these values back into equation (i), we get D = 4(3) = 12. There are 3 nickels, 12 dimes, and 3 quarters in the collection.

Let's assume the number of nickels is N, the number of dimes is D, and the number of quarters is Q. From the given information, we can deduce three equations:

(i) D = 4N (since there are 4 times more dimes than nickels),

(ii) N + D + Q = 18 (since there are 18 coins in total), and

(iii) 5N + 10D + 25Q = 290 (since the total value of the coins is 290 cents or $2.90).

To solve these equations, we can substitute the value of D from equation (i) into equations (ii) and (iii).

Substituting D = 4N into equation (ii), we get N + 4N + Q = 18, which simplifies to 5N + Q = 18.

Substituting D = 4N into equation (iii), we get 5N + 10(4N) + 25Q = 290, which simplifies to 45N + 25Q = 290.

Now we have a system of two equations with two variables (N and Q). By solving these equations simultaneously, we find N = 3 and Q = 3.

Substituting these values back into equation (i), we get D = 4(3) = 12.

Therefore, there are 3 nickels, 12 dimes, and 3 quarters in the collection.

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Answer: slope: undefined

y intercept: no y intercept

Step-by-step explanation:

Answer:

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

Answer:

the answer to the question is online if you

The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.

The base of a ladder should be set out a distance equal to 1/4 the height to the point of support.

Determine the height to the point of support (H).
Calculate the appropriate distance for the base of the ladder by using the formula: Distance = 1/4 * H.
Set the ladder's base at the calculated distance from the wall or support.

The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.
                                This guideline ensures that the ladder is placed at a safe angle to prevent it from slipping or falling.

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here is your answer in image if u like it ❣️

Answer:

Step-by-step explanation:

Answer:

B.14.4

kasi nga Po mahal Kita hope it helps

The required radius of the cylinder that can be covered by the paint is 3.8 feet. Option A is correct.

Franco has enough paint to cover an area of approximately 226 square feet. He needs to paint a cylinder that is 5 feet, and the maximum possible radius of the cylinder that can be covered by the paint is to determined.

The cylinder is defined as a 3D solid that keeps two identical bases joined by a curved surface, at a certain distance.

Here,
Franco has enough paint to cover an area of approximately 226 square feet.
Area of the cylinder = 226
πr²h = 226
h = 5 feet and π = 3.14
3.14 * 5 * r² = 226
r² = 226/15.70
r = √14.70
r = 3.80

Thus, the required radius of the cylinder that can be covered by the paint is 3.8 feet. Option A is correct.

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107

OH F£CK IM SRRY I ACCIDENTALLY THOUGHT IT WAS -9 INSTEAD OF -19 OOPs calculations r jacked up now D:

the answer is 107!!

angle m and p make supplementary angles, and i drew a line so u can see it clearly

Step-by-step explanation:

feeling the compa

Como te amo mucho

a) The expected payout for the insurance company is $182.

b) If the insurance company wants to charge 15% over the expected payout, the insurance company should charge the insured $27.30.

In a game of chance, the expected payout is the expected value of the game minus the cost.

For the insurance company, the expected payout is the probability-weighted value of the insurance undertaking.

The expected payout is the product of the amount to be paid to the insured family and the probability or chance of the insured dying.

The amount the insured family will receive = $130,000

The chance of the insured dying = 0.0014

The expected payout = $182 ($130,000 x 0.0014)

Charge over the expected payout = 15%

The amount the insurance company should charge the person = $27.30 ($182 x 15%)

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(a) The account will grow to $8,311.83 if the interest is compounded quarterly.
(b) The account will grow to $8,415.80 if the interest is compounded 24 times per year.

To solve the problem, we will use the formula for compound interest:

A = P(1 + r/n)^(nt)

, where:A is the total amountP is the principal (the initial amount invested)r is the annual interest raten is the number of times the interest is compounded per yeart is the time in years

Substituting the given values, we get:

A = $6,000(1 + 0.065/4)^(4 × 7)

Simplifying the exponent, we get:

A = $6,000(1.01625)^28A = $8,311.83

Therefore, the account will grow to $8,311.83 if the interest is compounded quarterly.

Similarly, for 24 times per year, we have:

A = $6,000(1 + 0.065/24)^(24 × 7)

Simplifying the exponent, we get:

A = $6,000(1.0054167)^168A = $8,415.80

Therefore, the account will grow to $8,415.80 if the interest is compounded 24 times per year.

The formula for compound interest is given as:

A = P(1 + r/n)^(nt), where P is the principal, r is the annual interest rate, n is the number of times the interest is compounded per year, t is the time in years, and A is the total amount.

In this problem, we are given that $6,000 is invested in an account paying 6.5% interest and we need to find out how much it will grow to in 7 years if the interest is compounded quarterly and 24 times per year.

Substituting the given values in the formula, we get that if the interest is compounded quarterly, the account will grow to $8,311.83 and if the interest is compounded 24 times per year, the account will grow to $8,415.80.

This shows that the more frequent the compounding, the more the account will grow. It is important to note that compound interest allows for the accumulation of interest on both the principal and the previously earned interest, making it a more profitable option than simple interest.

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Answer: 2

Step-by-step explanation:

By the angle bisector theorem,

\(\frac{8}{24}=\frac{DC}{6}\\\\DC=2\)

The length of DC is 2

Angle bisector theorem states that an angle bisector of a triangle divides the opposite side into two segments that are proportional to the other two sides of the triangle.

Given:

AB = 24, AC = 8, and BD = 6

Now, using angle bisector theorem

AB/ AC = BD / DC

24 / 8 = 6 / DC

3 DC= 6

DC = 2

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\(\qquad \textit{perfect square trinomial} \\\\ (a\pm b)^2\implies a^2\pm \stackrel{\stackrel{\text{\small 2}\cdot \sqrt{\textit{\small a}^2}\cdot \sqrt{\textit{\small b}^2}}{\downarrow }}{2ab} + b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^2 \pm \stackrel{\stackrel{2\sqrt{x^2}\sqrt{c^2}}{\downarrow }}{6x} +c^2~\hspace{10em}6x=2\sqrt{x^2}\sqrt{c^2}\implies 6x=2xc \\\\\\ \cfrac{6x}{2x}=c\implies 3=c\implies 9=c^2~\hfill \boxed{(x\pm 3)^2}\)

c=9 makes the given expression a perfect square trinomial.

The given expression is:

\(x^{2} +6x+c\)

We can rewrite it as:

\(x^{2} +2*x*3 + c\).....(1)

The expansion of \((a+b)^2\) is \(a^{2} +2ab+b^{2}\)

Comparing (1) with \(a^{2} +2ab+b^{2}\)

We get

a=x

b=3

c=b²

So, c=3² =9.

So, c=9 makes the given expression a perfect square trinomial.

Hence,  c=9 makes the given expression a perfect square trinomial.

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The correct conclusion is:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

Given,

At a huge institution, a doctor is determining the typical height of the male students.

Inches are used to measure the heights of a sample of 40 male baseball team players.

The doctor computes the 95% confidence interval using this information (63.5, 74.4).

The following conclusions is valid:

"The doctor can be 95% confident that the mean height of male students at the college is between 63.5 inches and 74.4 inches."

We can guarantee that the target variable will be within the confidence interval for a given confidence level since we know the confidence interval reflects an interval.

The true mean of heights for male students at the college where the doctor measured heights is represented by the provided case's confidence level of 95% and confidence interval of (63.5, 74.4).

The doctor is therefore 95% certain that the range of the mean height of male students at the college is valid (63.5, 74.4).

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The total area of the composite figure is 228 sq cm

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

The composite figure with 6 sides

The total area of the composite figure is the sum of the areas of the individual shapes

So, we have

Area = Area of Rectangle + Area of Rectangle

Using the above as a guide, we have the following equation

Area = 12 * 14 + (22 - 12) * 6

Evaluate the products

Area = 228

Hence, the total area of the figure is 228 sq cm

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