Liv collected information about the length and width of a random sample of 48 petals of iris flowers. Here
are the results:
Width is less than 2 cm
Width is more than 2 cm
Total
Length is less than 5.2 cm
14
3
17
Length is 5.2 cm to 5.7 cm
4
11
15
Length is more than 5.7 cm
7
9
16
Total
25
23
48
Liv wants to perform a x² test of independence between petal length and width.
What is the expected count for the cell corresponding to petals whose length is more than 5.7 cm and
whose width is more than 2 cm?
You may round your answer to the nearest hundredth.
Expected:

The given statements are True , False, False, True and True.

They are elaborated in points below:

(a) True:

Let x and y be even integers.

Then, by definition, x = 2a and y = 2b for some integers a and b.

Adding these equations, we get x + y = 2a + 2b = 2(a + b), which is an even integer. Therefore, the statement is true.

(b) False:

A counterexample is x = 1 and y = 3. Then x + y = 4, which is even, but neither x nor y is even.

Therefore, the statement is false.

(c) False:

A counterexample is x = -2 and y = 4. Then x² = (-2)²= 4 and y = 4² = 16, but x ≠ y. Therefore, the statement is false.

(d) True:

Since x < y, we have y - x > 0. Multiplying both sides by y + x, we get y² - x² > 0.

Rearranging the terms, we have x² < y².

Since x and y are both non-negative, we can take the square root of both sides to get x < y.

Therefore, the statement is true.

(e) True:

Since x and y are positive, we can take the square root of both sides of the inequality x < y to get √x < √y.

Then, multiplying both sides by √x + √y, we get x + 2√xy + y > x + y.

Since x + y is positive, we can divide both sides by x + y to get 1 + 2√(xy)/(x+y) > 1.

Rearranging the terms, we get √(xy) < (x + y)/2. Squaring both sides, we get xy < (x + y)²/4.

Simplifying, we get x²/4 - xy + y²/4 > 0. Rearranging the terms, we get (x - y/2)² > 0, which is always true since the square of any non-zero number is positive. Therefore, the statement is true.

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El valor que satisface D es 188.

El modelo matemático será así:

D/d = 12(resto 8)

si escribimos 8 como resto de D, entonces:

(D-8) /d=12

D-8= 12d o se puede escribir D= 12d+8

luego sustituya D= 12d+8 por D+d= 203

D+d= 203

(12d +8) +d= 203

13d= 203-8

13d= 195

re=15

sustituir d=15 en D+d= 203

D+d= 203

D+15=203

D=203-15

D=188

El modelo matemático es una forma de interpretación humana al traducir o formular problemas existentes en forma matemática, de modo que el problema pueda resolverse utilizando las matemáticas.

El uso principal de los modelos matemáticos es ayudar a las personas a comprender los problemas y simplificarlos para que puedan resolverse.

, los siguientes son algunos de los usos que se obtienen al utilizar un modelo matemático, a saber:

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Answer:

The first step is to subtract 9 from each side

Step-by-step explanation:

2x+9=21

The first step is to subtract 9 from each side

2x+9-9 = 21-9

2x = 12

Then divide by 2 on each side

2x/2 = 12/2

x = 6

Answer:

That would be to collect like terms

Step-by-step explanation:

Further explanation

\(2x+9=21\\\\Collect\: like\: terms\\2x = 21-9\\\\Simplify\\2x = 12\\\\Divide\:both\:sides\:of\:the\:equation\:by\:2\\\frac{2x}{2} = \frac{12}{2} \\Simplify\\\\x =6\)

Answer:

The similarities are;

1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°

2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third

3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems

The differences are;

1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle

2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle

Step-by-step explanation:

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer:

x = 1

Step-by-step explanation:

If you plug in 1 in both equations you will get 3 as your answer as it is the intersection of those two functions.

Answer:

π(70)(√(70^2 + 50^2)) = π(700√74) m^3

= 18,918 m^3

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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Answer:

1

Step-by-step explanation:

f(x) = x^2 - 8x - 4

The leading coefficient is the constant in front of the highest power of x

In this case the value is 1

Answer:

300 minutes

Step-by-step explanation:

1 point=6 minutes

50 points= x

x=6×50

=300 minutes

Answer: 76

Step-by-step explanation:

If a pair of parallel lines are cut by a line, the alternate angles are equal to each other. The angles 76 and x are alternate angles, so that means they are equal.

Step-by-step explanation:

x^2+15x-54

x^2+18x-3x-54

Common factors

x(x+18)-3(x+18)

(x-3)(x+18)

To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.

First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:

Z = (X - μ) / (σ / √n)

Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)

Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.

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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.

To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.

Let's assume the sample standard deviation is $5,000.

First, we calculate the z-score:
    \(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5

Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.

Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.

In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

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Answer:

x-65=-49 (x=16)

Step-by-step explanation:

65 less (_-65)

than a number (x)

equals -49 (=-49)

combined x-65=-49

extra part: -49+65=16

Answer:

The answer is 16

Step-by-step explanation:

-49 + 65 = 16

Since it says 65 less than a number the equation would look like ?-65= -49. What I did was add -49 to 65 and I got 16.

Based on the policy limit of $50,000, the total amount that the insurance company must pay out for these three people involved in Craig's personal injury protection policy is $73,500.

The total amount that the insurance company will indemnify the three persons involved in the accident is determined by the policy or liability limit of $50,000 for each person.

Policy limit in Craig's personal injury protection policy for each = $50,000

The medical expense for the first person = $23,000 (below limit)

The medical expense for the second person = $500 (below limit)

The medical expense for the third person (Craig) = $70,000 (above limit)

Total indemnity = $73,500 ($23,000 + $500 + $50,000)

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Answer:

4.57

Step-by-step explanation:

square root of 65.71 divided by pie

Answer:

A lengthy is 89yards and the width is 45yards

Answer:

10

Step-by-step explanation:

6 in the first, and 12 in each of the other

That means 6 + 12 + 12 = 30

Since there are three stacks, divide 30 by 3

30/3 = 10

There will be 10 books in each stack

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4

Step-by-step explanation:

Use the information in the problem in order to solve. Take 3 stacks, 12 total dictionaries, divide 12 by 3 and you get 4.

Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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A chord of a circle is a segment that connects two points on the circle. Therefore, in order to determine which of the rays or segments below is a chord of circle O, we need to identify which of them connects two points on the circle.

- UD: This is a ray that starts at point U and extends indefinitely in the direction of point D. It does not connect two points on the circle, so it is not a chord of circle O.
- GR: This is a segment that connects point G and point R. However, neither of these points is on circle O, so this segment is not a chord of circle O.
- UO: This is a segment that connects point U and point O. Both of these points are on circle O, so this segment is a chord of circle O.
- GD: This is a ray that starts at point G and extends indefinitely in the direction of point D. It does not connect two points on the circle, so it is not a chord of circle O.

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We can determine that events A and B are dependent.

Based on the given information, we can determine if the events A and B are dependent or not. Two events are considered dependent if the occurrence of one event affects the probability of the other event occurring.

In this case, we know that the probability of event A occurring given that event B happens is 0.7. This suggests that the occurrence of event B affects the probability of event A occurring. Therefore, we can conclude that events A and B are dependent.

Moreover, we can use the formula for conditional probability to calculate the probability of both events occurring together. The formula states that the probability of A and B occurring together is equal to the probability of A given B multiplied by the probability of B.

P(A and B) = P(A | B) x P(B)
P(A and B) = 0.7 x 0.2
P(A and B) = 0.14

This means that the probability of events A and B occurring together is 0.14, which is relatively low. However, since the events are dependent, it is important to consider the occurrence of event B when calculating the probability of event A.

In conclusion, based on the given information, we can determine that events A and B are dependent, and we can calculate the probability of both events occurring together using the formula for conditional probability.

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The telegraph was replaced by fully digital communication in the 1970s and 1980s , but it is still used by the amateur radio operators.

The Telegraph is a device that was used for the transmission of information by coded signal over distance.

the telegraph was developed by Samuel F. B. Morse and used Morse code for transmission ,

New technologies and devices kept appearing which led to a evolution of the telegraph industry during the latter half of the 19th century and the first half of the 20th century.

By the year 1856 the register in Morse system was replaced by sounder, and code was transcribed directly from sounds by operator.

Therefore ,  telegraph is no longer a major means of maritime communications, but it is still used by amateur radio operators.

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Answer:

the answer is D :)

Step-by-step explanation:

The answers are in order 3/50,1/20, greater than.

Answer:

1.b 2.a 3.b

Step-by-step explanation:

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

\(Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714\)

Step-by-step explanation:

come on, this is really simple.

you need to put the given values of x into the places, where x appears in the functional expression.

which expression to be used ? that depends on the given value.

x = -1

is -1 >= 0 (to use the case for x >= 0) ? no, it is not.

-1 < 0, so we need to use the expression for x < 0.

y = -1 - 2 = -3

x = 0

is 0 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×0 + 1 = 0 + 1 = 1

x = 1

is 1 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×1 + 1 = 3 + 1 = 4

x = 2

is 2 >= 0 ? yes, it is.

so, we need to use the expression for x >= 0.

y = 3×2 + 1 = 6 + 1 = 7

Answer:

c

Step-by-step explanation: i took test. tell me if it is wrong

Acceptance sampling allows for the inspection of a subset of items from a larger batch, making it suitable for logistics and materials management. It provides a cost-effective way to assess the quality of incoming materials or products, ensuring they meet specified criteria.

In logistics, acceptance sampling helps in verifying the quality of received shipments without the need to inspect every single item. By sampling a representative subset, logistics personnel can quickly assess whether the materials or products meet the required standards. This enables efficient decision-making regarding acceptance, rejection, or further inspection. In materials management, acceptance sampling aids in maintaining quality control throughout the supply chain. By implementing sampling plans at different stages, organizations can identify potential issues early on and take corrective actions,

Reducing the risk of defects or substandard materials reaching the production line. Overall, acceptance sampling enhances efficiency, reduces costs, and facilitates effective logistics and materials management by providing a systematic approach to quality control and inspection.

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