4. A small airplane is approaching an airport as shown in the diagram. Given that sin 32" 0.53, cos 32" 0.85,and tan 32-0.62, find the distance marked d in the diagram. Explain your method for finding

The least cοmmοn denοminatοr οf the fractiοn is 24.

Part οf a whοle is a fractiοn. The quantity is written as a quοtient in mathematics, where the numeratοr and denοminatοr are divided. Each is an integer in a simple fractiοn. Whether it is in the numeratοr οr denοminatοr, a cοmplex fractiοn cοntains a fractiοn. The numeratοr and denοminatοr οf a cοrrect fractiοn are οppοsite each οther.

Here the given fractiοn is \($\frac{11}{8}\ \text{and}\ \frac{7}{12}\).

We knοw that Least cοmmοn denοminatiοn οf the fractiοn is lοwest cοmmοn multiple. Then, factοrs οf the denοminatοr

8 = 2*2*2

12=2*2*3

Nοw LCD = 2*2*2*3 = 24.

Hence the least cοmmοn denοminatοr οf the fractiοn is 24.4.

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there are 51,840 possible seating arrangements when people of the same nationality must sit next to each other.

To calculate the number of seating arrangements when people of the same nationality must sit next to each other, we can treat each nationality group as a single entity. In this case, we have three groups: Africans (4 people), French (3 people), and Americans (5 people). Therefore, we can consider these groups as three entities, and we have a total of 3! (3 factorial) ways to arrange these entities.

Within each entity/group, the people can be arranged among themselves. The Africans can be arranged among themselves in 4! ways, the French in 3! ways, and the Americans in 5! ways.

Therefore, the total number of seating arrangements is calculated as:

3! * 4! * 3! * 5! = 6 * 24 * 6 * 120 = 51,840.

Hence, there are 51,840 possible seating arrangements when people of the same nationality must sit next to each other.

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Answer:

2/5

Step-by-step explanation:

Let's simplify this equation to find the slope. I am going to make this into

y = mx+b form where m is the slope and b is the y-intercept.

y - 3 = 2/5(x+7)

y - 3 = 2/5(x) + 14/5

y = 2/5(x) + (14/5 + 3)

y = 2/5(x) + 29/15

The slope of this equation is 2/5

(a) (i) 0.3174 = 31.74% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 317.

(b) (i) 0.0026 = 0.26% probability of a defect

(ii) The expected number of defects for a 1,000-unit production run is 3.

(C) Reduces the process standard deviation and causes no change in the number of defects.

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

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

         Z = X-μ /σ

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

Question a:

We have that: μ = 10 and σ = 0.12

(i). Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

  Z = X-μ /σ

⇒ Z = 9.88 - 10/0.12

⇒ Z = -1, has a p-value of 0.1587

⇒ 2× 0.1587 = 0.3174

This means 0.3174 = 31.74% probability of a defect

(ii)  Calculate the expected number of defects for a 1,000-unit production run.

The expected number of defects is 31.74% of 1000. So

0.3174*1000 = 317.4

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 317.

Question (b):

The mean remains the same, but the standard deviation is now

(i) Calculate the probability of a defect.

Less than 9.88 or greater than 10.12. These probabilities are equal, so we find one and multiply by 2.

Probability of less than 9.88:

This is the p-value of Z when X = 9.88. Thus,

   Z = X-μ /σ

⇒ Z = 9.88 -10/0.04

⇒ Z = -3

⇒ Z = -3, has a p-value of 0.0013

which means 2× 0.0013 = 0.0026

from which 0.0026 = 0.26% probability of a defect

(ii) Calculate the expected number of defects for a 1,000-unit production run. The expected number of defects is 31.74% of 1000. Thus,

⇒ 0.0026*1000 = 2.6

Rounding to the nearest integer

The expected number of defects for a 1,000-unit production run is 3.

(C) The advantage of reducing process variation, thereby causing problem limits to be at a greater number of standard deviations from the mean Reduces the process standard deviation and causes no change in the number of defects.

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Answer:

Below

Step-by-step explanation:

Square area = s^2

    ds/dt = 3

Area = s^2      Find the derivative with respect to t of both sides

area/dt = 2s ds/dt

                    = 2 (10)(3)  = 60 in^2   per sec

Statistical methods of forecasting labor supply and demand are most accurate when they are based on a comprehensive analysis of a variety of factors. This includes demographic changes, technological advancements, industry trends, government policies, and economic indicators.

The accuracy of the forecast also depends on the quality and reliability of the data used. Therefore, it is important to gather and analyze data from multiple sources, such as surveys, job postings, and employment statistics. Additionally, statistical methods should be regularly updated and refined to ensure that they reflect the most recent changes in the labor market. Ultimately, the accuracy of labor supply and demand forecasts can have a significant impact on business planning, workforce development, and economic growth, making it essential to use reliable statistical methods to produce the most accurate results.

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Answer:

3rd option

Step-by-step explanation:

Since the centre of dilatation is at the origin then multiply the coordinates by \(\frac{1}{3}\)

K (- 3, 9 ) → K' (- 3(\(\frac{1}{3}\) ), 9(\(\frac{1}{3}\) ) ) → K' (- 1, 3 )

L (- 9, 0 ) → L' (- 9(\(\frac{1}{3}\) ), 0 (\(\frac{1}{3}\) ) ) → L' (- 3, 0 )

M (2, - 8 ) → M' (2 (\(\frac{1}{3}\) ), - 8 (\(\frac{1}{3}\) ) ) → M' ( \(\frac{2}{3}\) , - \(\frac{8}{3}\) )

N (6, 4 ) → N' (6 (\(\frac{1}{3}\) ) , 4 (\(\frac{1}{3}\) ) ) → N' ( 2, \(\frac{4}{3}\) )

Answer:

0.02

Step-by-step explanation:

the answer is                                                          

0.02............

i have done this before!

Statement: If p, then q

Inverse: If q, then p

Converse: If not p, then not q

Contrapositive: If not q, then not p.

We can see from the statement that p = brush teeth twice a day and q = not get cavities.

Thus:

Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)

Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)

Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE

If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.

The simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

An expression is a combination of variable, numbers and operators.

The given expression is

(5×10⁻²)(2.3×10¹²)

Use the distributive property

(5×2.3)(10⁻²×10¹²)

The powers with same base will be added

11.5×10⁻²⁺¹²

11.5×10¹⁰

23) (3.9×10³)(4.2×10⁻¹¹)

(3.9×4.2)(10³×10⁻¹¹)

The powers with same base will be added

16.385×10⁻⁸

25) 3.12×10³/1.56×10⁻³

The sign of power of denominator changes to opposite sign when it shifted to numerator.

4.8672×10³⁺³

4.8672×10⁶

(28) 1.82×10⁵/9.1×10⁷

0.2×10⁵⁻⁷

The sign of power of denominator changes to opposite sign when it shifted to numerator.

0.2×10⁻²

Hence the simple forms of expressions are 11.5×10¹⁰,16.385×10⁻⁸,4.8672×10⁶,0.2×10⁻²

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Answer:

There are 10 cards in the stack, and 5 of them are odd (1, 3, 5, 7, and 9). There are 3 cards (1, 2, and 3) that are less than 4. Since we are replacing the first card before selecting the second, the outcomes are independent and we can multiply the probabilities of each event.

The probability of selecting an odd card on the first draw is 5/10, or 1/2.

The probability of selecting a card less than 4 on the second draw is 3/10, since there are 3 cards that meet this condition out of a total of 10.

Therefore, the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is:

(1/2) x (3/10) = 3/20

So the probability of selecting an odd card on the first draw and a card less than 4 on the second draw is 3/20.

Step-by-step explanation:

Answer:

3/20.

Step-by-step explanation:

To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is:

5/10 x 3/10 = 15/100

We can simplify this fraction by dividing both the numerator and denominator by 5:

15/100 = 3/20

So, the final answer is 3/20.

Received message. To find the probability of two independent events happening together, we multiply their individual probabilities. The probability of the first card being an odd number is 5/10, because there are 5 odd numbers out of 10 cards. The probability of the second card being less than 4 is 3/10, because there are 3 cards (1, 2, and 3) that are less than 4 out of 10 cards. Therefore, the probability of the first card being an odd number and the second card being less than 4 is: 5/10 x 3/10 = 15/100 We can simplify this fraction by dividing both the numerator and denominator by 5: 15/100 = 3/20 So, the final answer is 3/20.

The solutions to the quadratic equation 4x² + 3x - 1 = 0 are: x = 1/2 and x = -1. None of the answer choices match these solutions, so none of the options provided are correct.

it's a second-degree quadratic equation which is an algebraic equation in x. Ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form.

To use the quadratic formula, we need to first identify the values of a, b, and c in the quadratic equation:

ax² + bx + c = 0

In the given equation,

a = 4

b = 3

c = -1

Now, we can substitute these values into the quadratic formula:

\($ \rm x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a}\)

Plugging in the values for a, b, and c gives:

x = (-3 ± sqrt(3² - 4(4)(-1))) / 2(4)

\($ \rm x = \frac{ -3 \pm \sqrt{3^2 - 4(4)(-1)}}{2(4)}\)

Simplifying inside the square root:

\($ \rm x = \frac{-3 \pm \sqrt{9 + 16}}{8}\)

\($ \rm x = \frac{-3 \pm \sqrt{25}}{8}\)

\($ \rm x = \frac{-3 \pm 5}{8}\)

Now, we have two solutions:

x = (-3 + 5) / 8 = 1/2

x = (-3 - 5) / 8 = -1

Therefore, the solutions to the quadratic equation 4x² +3x - 1 = 0 are:

x = 1/2 and x = -1

None of the answer choices match these solutions, so none of the options provided are correct.

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Answer:  they are divisible by 1,5,10,25,50

Step-by-step explanation:

The number 50 is divisible by 1,2,5,10,25 and 50.

A number system is defined as a system of writing to express numbers.

We need to find the numbers which divides the number 50.

A divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n

The factors of 50 will divide the number 50.

The factors of 50 are 1,2,5,10,25,50.

So the number 50 is divisible by 1,2,5,10,25 and 50.

Hence,  the number 50 is divisible by 1,2,5,10,25 and 50.

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Answer: Answer is = three roots.

Please mark as a brainliest

Step-by-step explanation:

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2

The equation of the parabola that has its focus at (0, -2) and directrix at y = 4 is presented as follows;

\(y = 1 - \frac{ x² }{12}\)

The focus of the parabola, obtained from a similar question posted online is (0, -2)

The given directrix is y = 4

From the definition of the directrix, we have;

(x - 0)² + (y - (-2))² = (y - 4)²

Which gives;

x² + (y + 2)² = (y - 4)²

4•y = y² - 8•y + 16 - (x² + y² - 4)

12•y = 12 - x²

The equation of the parabola is therefore;

\(y = 1 - \frac{ x² }{12}\)

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Answer:

15*5 = 75

Step-by-step explanation:

Given that the √123 in this case is 11.09, it is sufficient to check the number's divisibility by 2, 3, 5, 7 or 11.

A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor. 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers. Composite numbers are those that have more than two components.

Given Data,

123 is prime, we merely need to test divide it by 2,3, 5 and 7 the fact that 123 is not divisible by those.

We can use the finding that any number, let's say N, is prime if it cannot be divided by any prime number less than  √N to test for such numbers.

Given that the √123 in this case is 11.09, it is sufficient to check the number's divisibility by 2, 3, 5, 7 or 11.

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Answer:

\(\boxed {\boxed {\sf D. \ f(3)= 30}}\)

Step-by-step explanation:

We are given the function:

\(f(x)= 3(2)^x+6\)

We want to find f(3), so we must substitute 3 in for x.

\(f(3)= 3(2)^3+6\)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve the exponent first.

\(f(3)= 3(8)+6\)

Multiply 8 and 3.

\(f(3)= 24+6\)

Add.

\(f(3)=30\)

For the function given, f(3) is 30.

The mean is the average value of a set of data. To calculate the mean, you add up all the data values and then divide the sum by the number of values in the set.

For the first sample with data values of 10, 20, 11, 17, and 12, the mean can be calculated as follows:
(10 + 20 + 11 + 17 + 12) / 5 = 70 / 5 = 14

So, the mean of this sample is 14.

The median is the middle value in a set of data when the data is arranged in order. If there is an even number of values, the median is the average of the two middle values.

For the first sample with data values of 10, 20, 11, 17, and 12, the median can be calculated as follows:
First, arrange the data in order: 10, 11, 12, 17, 20
Since there are 5 values, the middle value is the third value, which is 12.

So, the median of this sample is 12.

Now, let's move on to the second sample with data values of 10, 20, 21, 18, 16, and 17.

To calculate the mean:
(10 + 20 + 21 + 18 + 16 + 17) / 6 = 102 / 6 = 17

So, the mean of this sample is 17.

To calculate the median:
First, arrange the data in order: 10, 16, 17, 18, 20, 21
Since there are 6 values, the middle values are the third and fourth values, which are 17 and 18. To find the median, we take the average of these two values:
(17 + 18) / 2 = 35 / 2 = 17.5

So, the median of this sample is 17.5.

Lastly, let's consider the third sample with data values of 51, 54, 71, 58, 65, 56, 51, 69, 56, 68, and 51.

To calculate the mean:
(51 + 54 + 71 + 58 + 65 + 56 + 51 + 69 + 56 + 68 + 51) / 11 = 660 / 11 = 60

So, the mean of this sample is 60.

To calculate the median:
First, arrange the data in order: 51, 51, 51, 54, 56, 56, 58, 65, 68, 69, 71
Since there are 11 values, the middle value is the sixth value, which is 56.

So, the median of this sample is 56.

Please note that the mode refers to the value(s) that appear most frequently in a set of data. In the given questions, mode is not requested for the first and second samples. However, if you need to calculate the mode for the third sample, it would be 51, as it appears three times, which is more than any other value in the set.

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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

The data value that corresponds to the 46th percentile is 10.

To find the data value that corresponds to the 46th percentile, we need to arrange the given data in ascending order and then identify the value at the desired percentile.

Arranging the data in ascending order:

7, 12, 14, 16, 19, 19, 19, 25, 25, 27, 28, 28, 34, 37, 38, 40, 53, 69, 92, 115, 200

Since we have 21 data values, the 46th percentile corresponds to the (46/100) * 21 = 9.66th value.

To find the corresponding data value, we round up the decimal value to the nearest whole number, which is 10.

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Answer:

1. 5.28344e-7

2. 0.00132e-8

3. 528.344

i think

We need to find the slope and y-intercept using the table values:

To find the slope take two points and use the slope formula:

P2 (1, 0.75) andP2 (0,0)

So, our slope is 4/3

To find the y-intercept, we set x=0

Now, look at the table when x values 0.

The Point (0,0) is the y-intercept because is when x=0.

To find the sum of the vertex angles in various polygons, we need to sketch the polygons and then calculate the sum. For a hexagon, octagon, and dodecagon, the sums of the vertex angles are 720°, 1,080°, and 1,800°, respectively.

a. Hexagon: A hexagon is a polygon with six sides. To find the sum of the vertex angles, we can divide the hexagon into triangles. Since each triangle has an interior angle sum of 180°, the hexagon can be divided into four triangles. Therefore, the sum of the vertex angles in a hexagon is 4 * 180° = 720°.

b. Octagon: An octagon is a polygon with eight sides. Similar to the hexagon, we can divide the octagon into triangles. Dividing it into six triangles, each with an interior angle sum of 180°, the sum of the vertex angles in an octagon is 6 * 180° = 1,080°.

c. Dodecagon: A dodecagon is a polygon with twelve sides. Dividing it into ten triangles, each with an interior angle sum of 180°, the sum of the vertex angles in a dodecagon is 10 * 180° = 1,800°.

Therefore, the sum of the vertex angles in a hexagon is 720°, in an octagon is 1,080°, and in a dodecagon is 1,800°.

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Find the sum of the vertex angles of the following polygons---

a. A hexagon

b. An octagon

c. A dodecagon.

Answer:

If a vertebrate has a disease that affects it's skeleton, it'll would have difficulty circulating blood because the white blood cells would prob stop when there's a thing like Leukemia and so would the red blood cells :3

btw I love ur connie pfp- :3

Step-by-step explanation:

:3

Answer:

10 pounds

Step-by-step explanation:

given ratio weight:added weight=10:1

100:x=10:1

100/x=10/1

solving for x

100=10x

x=10