Which of the following statements is not true?
A. Consecutive angles of a rhombus are supplementary.
B. Diagonals of all parallelograms bisect each other.
C. Trapezoids have exactly one pair of parallel sides.
D. Opposite sides of trapezoids are equal.

The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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Answer: Question 1: Probability that X-bar is greater than 114 = 0.0985 (rounded to 4 decimal places). Question 2: Probability that X-bar is between 142 and 1467 = 0.8196 (rounded to 4 decimal places).

1. The Z-score formula is used to determine the probability of any value X occurring within a normal distribution.

The formula is

Z=(X-μ)/σ

where Z is the Z-score, X is the raw data point, μ is the mean of the population, and σ is the standard deviation of the population.

2. The Central Limit Theorem (CLT) is the statistical principle that asserts that the sample means from a normally distributed population will follow a normal distribution.

The mean of this distribution will be equal to the mean of the population from which the samples are drawn, and the standard deviation of this distribution will be equal to the standard deviation of the population divided by the square root of the sample size.

3. With these concepts in mind, let us solve the two given questions:

Question 1:You are taking samples from a normally distributed population with mean 112 and standard deviation 11.

Your batch size is 19. Let X-bar be the average of all 19 of your samples. What is the probability that X-bar is greater than 114?

We know that the population is normally distributed with mean μ = 112 and standard deviation σ = 11.

The sample size is n = 19, and the sample mean is X-bar. We need to find the probability that X-bar is greater than 114.

Using the Central Limit Theorem, we can calculate the Z-score as follows:

\(Z=(x - \mu) / (\sigma / sqrt(n))= (114 - 112) / (11 / (\sqrt(19))Z= 1.29\)

Therefore, P(X-bar > 114) = P(Z > 1.29).

We can use a Z-score table or a calculator to find this probability.

Using a calculator, we get:

P(Z > 1.29) = 0.0985 (rounded to 4 decimal places)

Therefore, the probability that X-bar is greater than 114 is 0.0985.

Question 2:You are taking samples from a normally distributed population with mean 144 and standard deviation 7.

Your batch size is 15.

Let X-bar be the average of all 15 of your samples.

What is the probability that X-bar is between 142 and 1467?We know that the population is normally distributed with mean μ = 144 and standard deviation σ = 7.

The sample size is n = 15, and the sample mean is X-bar.

We need to find the probability that X-bar is between 142 and 1467. Using the Central Limit Theorem, we can calculate the Z-scores as follows:

\(Z1 = (142 - 144) / (7 /(\sqrt(15))= -1.53Z2 = (146.7 - 144) / (7 /(\sqrt(15))= 1.53\)

Therefore,\(Z1 = (142 - 144) / (7 / (\sqrt(15))= -1.53Z2 = (146.7 - 144) / (7 / sqrt(15))= 1.53\)

We can use a Z-score table or a calculator to find this probability. Using a calculator, we get:

\(P(-1.53 < Z < 1.53) = 0.8823 - 0.0627\)

= 0.8196 (rounded to 4 decimal places)

Therefore, the probability that X-bar is between 142 and 1467 is 0.8196.

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Answer:

D:f(x) = x2 - 3x -10

Step-by-step explanation:

Answer:

D: f(x) = x2 - 3x -10

Step-by-step explanation:

Doing it on EDG right now!!

Good luck :3

Step-by-step explanation:

-3x - 7y = -63

-(3x + 7y) = -63

3x + 7y = -63/-1

3x + 7y = 63

Value of x

3x + 7y = 63

3x = 63 - 7y

x = (63 - 7y)/3

Value of y

3x + 7y = 63

7y = 63 - 3x

y = (63 - 3x)/7

The values that a correlation r can possibly take are -1  ≤  r  ≤ 1. Thus, option C is correct as per the correlation relation.

Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.

The value of correlation r can range from -1 to 1. Here,

-1 indicates: a perfect negative correlation

0 indicates:  no linear correlation

1 indicates: a perfect positive correlation

Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.

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Answer:

Step-by-step explanation:

Option A

Option B

Option C

Option D

Answer:

i think the answer is 144

Step-by-step explanation:

ohhh so first we should try finding the slope here. since we know the points are (3.5 , 21) and (6.5, 69) we can use the formula to look for the slope

the formula is:

y2 - y1 / x2 - x1

lets substitute

69 - 21 / 6.5 - 3.5

48 / 3

16

f(x) = 16x + b

now we just substitute

btw i dont think we need to find b because this inst a linear equation? im not sure but yea i dont think we need to find the y-intercept

so anyways

f(9) = 16(9)

= 144

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!

The Fraction for the given word problem is x/y = 9/11

A fraction, which derives from the Latin word fractus, meaning "broken," is a portion of a whole or, more broadly, any number of equal parts. A fraction, such as one-half, eight-fifths, or three-quarters, indicates the number of parts of a particular size when it is used in everyday speech.

Let the fraction be x/y

The numerator of a fraction is 2 minus its denomination.

⇒ x = y - 2 .....(i)

When 3 is subtracted from numerator and from denomination the new fraction obtained is 3/4

⇒ x - 3/y - 3 = 3/4

Can also be written as

⇒ 4(x + 3) = 3(y - 3)

⇒ 4x - 12 = 3y - 9

⇒ 4x - 3y = -9 + 12

⇒ 4x - 3y = 3 .....(ii)

Substitute the value of (i) in (ii)

⇒ 4x - 3y = 3

⇒ 4(y - 2) - 3y = 3

⇒ 4y - 8 - 3y = 3

⇒ y - 8 = 3

⇒ y = 3 + 8

⇒ y = 11

Putting the value of y in (i).

⇒ x = y - 2

⇒ x = 11 - 2

⇒ x = 9

Hence, Fraction = x/y = 9/11

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Answer:

923×10‐⁵

please mark brainlist

Answer:

9.23 x 10^-5

Step-by-step explanation:

To set up scientific notation you need to move the decimal point so there is a one digit other than zero in the first part (9.23). To do this you move the decimal point to the right 5 digits, accounting for the negative 5 (10^-5).

It's negative cause it's going right, if it was moving left it would be positive.

He is opening a dialog box to access a second workbook by pressing F12 and then clicking tool box.

A dialog box is a temporary window an application creates to retrieve user input. An application typically uses dialog boxes to prompt the user for additional information for menu items.It (also spelled dialogue box, also called a dialog) is a common type of window in the GUI of an operating system. The dialog box displays additional information, and asks a user for input. For example, when you are using a program and you want to open a file, you interact with the "File Open" dialog box.

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Answer:

x = 9

-1 + 14x = 12x + 17

Answer:

x = 9

Step-by-step explanation:

-1 + 14x = 12x + 17

Rearrange terms.

14x - 1 = 12x + 17

Add 1 to both sides of the equation.

14x - 1 + 1 = 12x + 17 + 1

Simplify.

14x = 12x + 17 + 1

14x = + 12x + 18

Subtract 12x from both sides of the equation.

14x - 12x = + 12x - 12x + 18

Simplify.

2x = + 12x - 12x + 18

2x = 18

18 ÷ 2 = 9

x = 9

The most appropriate inference procedure for the researchers to use to analyze the results is a matched-pairs t-interval for a population mean difference.

A matched-pairs t-interval for a population mean difference is suitable for this study because it involves comparing the pretest and posttest scores of the same individuals.

The researchers are interested in determining whether there is a significant difference in the number of correct answers before and after the adult reading program.

By using a matched-pairs t-interval, the researchers can analyze the mean difference in scores and determine the range within which the true population mean difference is likely to fall. This inference procedure takes into account the paired nature of the data, accounting for individual differences and increasing the precision of the estimate.

It is important to use this procedure as it considers the correlation between the pretest and posttest scores for each individual, providing a more accurate assessment of the program's effectiveness.

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The interquartile range (IQR) is found as the 20.24. The correct option is (d) 20.24.

Given that X N(300, 15), find the Interquartile Range (IQR).

The given distribution is normal with mean μ = 300 and standard deviation σ = 15.

We need to calculate the interquartile range (IQR).IQR is defined as the difference between the third quartile (Q3) and the first quartile (Q1).

The first quartile (Q1) is the value below which 25% of the data fall and the third quartile (Q3) is the value below which 75% of the data fall.

We can find these values using the standard normal distribution table.

For the first quartile,

z1 = invNorm(0.25)

= -0.67449

Q1 = μ + σ × z1

= 300 + 15 × (-0.67449)

= 289.88

≈ 289.89

For the third quartile,

z3 = invNorm(0.75)

= 0.67449

Q3 = μ + σ × z3

= 300 + 15 × 0.67449

= 310.12

Therefore, the interquartile range (IQR)

= Q3 – Q1

= 310.12 – 289.89

= 20.23

≈ 20.24

Hence, the correct option is (d) 20.24.

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The percentage of tires that will have a life of 45,000 to 55,000 miles is  68.27%. So the correct option is 68.27%.

To find the percentage of tires that will have a life of 45,000 to 55,000 miles, we can use the concept of the normal distribution.

First, we calculate the z-scores for both values using the formula:
z = (x - mean) / standard deviation

For 45,000 miles:
z1 = (45,000 - 50,000) / 5,000 = -1

For 55,000 miles:
z2 = (55,000 - 50,000) / 5,000 = 1

Next, we look up the corresponding values in the standard normal distribution table. The table will provide the proportion of data within a certain range of z-scores.

The percentage of tires with a life between 45,000 and 55,000 miles is the difference between the cumulative probabilities for z2 and z1.

Looking at the standard normal distribution table, the cumulative probability for z = -1 is 0.1587, and the cumulative probability for z = 1 is 0.8413.

Therefore, the percentage of tires that will have a life of 45,000 to 55,000 miles is:
0.8413 - 0.1587 = 0.6826

Converting this to a percentage, we get:
0.6826 * 100 = 68.26%

So the correct answer is 68.27%.

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The calculated t-value (-3.579) is less than the critical t-value (-1.729), we reject the null hypothesis. There is sufficient evidence to conclude that the completion time of the newly designed test is less than its intended duration.

To determine if there is sufficient evidence to conclude that the completion time of the newly designed test is less than its intended duration, we can perform a one-sample t-test. The null and alternative hypotheses are:

Null hypothesis (H0): The mean completion time is equal to or greater than the intended duration (μ ≥ 35).

Alternative hypothesis (Ha): The mean completion time is less than the intended duration (μ < 35).

We will conduct the test at a significance level of α = 0.05.

Given that the sample size is small (n = 20) and the population standard deviation is unknown, we will use the t-distribution to perform the test. The test statistic is calculated as follows:

t = (sample mean - population mean) / (sample standard deviation / sqrt(n))

Where:

sample mean = 31 minutes

population mean = 35 minutes

sample standard deviation = 5 minutes

n = 20

Substituting the values into the formula, we have:

t = (31 - 35) / (5 / sqrt(20))

t = -4 / (5 / 4.472)

t = -4 / 1.118

t = -3.579

To determine if there is sufficient evidence to conclude that the completion time is less than the intended duration, we need to compare the calculated t-value with the critical t-value from the t-distribution table.

For a one-tailed test at α = 0.05 with degrees of freedom (df) = n - 1 = 20 - 1 = 19, the critical t-value is approximately -1.729.

Since the calculated t-value (-3.579) is less than the critical t-value (-1.729), we reject the null hypothesis. There is sufficient evidence to conclude that the completion time of the newly designed test is less than its intended duration.

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The area of a regular polygon inscribed in a circle is given by A = (1/2)nr^2sin(2π/n), where n is the number of sides and r is the radius of the circle.

For a square, n = 4, so A(square) = 2r^2.

For a regular octagon, n = 8, so A(octagon) = 2(2+√2)r^2.

The ratio of the areas is:

A(octagon)/A(square) = [2(2+√2)r^2]/(2r^2) = 2+√2 ≈ 3.83

Therefore, the octagon covers approximately 283% more of the circle's area than the square.

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Answer:

add up 4*9x2x3  cv dividedby 60

The measure of ∠XYZ is 130°. Option C is the correct option.

What is an isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. Sometimes it is stated to have exactly two sides that are the same length, and other times it is stated to have at least two sides that are the same length, with the latter version including the equilateral triangle as an exception.

Given that the length of YZ = YX and ∠YZX = 25°.

There is an agreement between two sides. The base of an isosceles triangle refers to the third side of the triangle, which is unequal to the other two sides. The two angles that are opposite the equal sides line up perfectly.

According to the property of the isosceles triangle:

∠YXZ = ∠YZX = 25°

The sum of all angles of a triangle is 180°.

Therefore,

∠YXZ + ∠YZX + ∠XYZ = 180°

25° + 25° +  ∠XYZ = 180°

50° +  ∠XYZ = 180°

∠XYZ = 180° - 50°

∠XYZ = 130°

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Answer:

x = 2

x = 7

x = -2

x = 3

Step-by-step explanation:

Code cracked

Answer:

C

Step-by-step explanation:

All angles in a triangle add up to 180°.

63 + 52 = 115°.

180 - 115 = 65°, so part of the answer is done, y = 65°.

The angle next to y is a vertical angle.

61 + 65 = 126°.

180 - 126 = 54°.

So, x = 54°, y = 65°.

Answer:

The same as the person above me

Step-by-step explanation:

1.

- 2,3

2.

-X=2

Y=3

The domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Given function h(x)=\(10x^{2} -6x\).

We are required to find the domain of the given function.

Function is basically relationship between two or more variables that are expressed in equal to form. The values that we entered in the function are known as a part of domain and the values that we get from the function are known as a part of range of function.

The function is h(x)=\(10x^{2} -6x\).

We have not given any range of the function, so we donot know the limit under which the values of that  function lies. Because we donot know the limit so we can put any real number in the function. So the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

Hence the domain of the function h(x)=\(10x^{2} -6x\) is all real numbers.

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The weight of Joey is 39kg. Then, he needs to take:

a) He needs to be given 0.39mg

b)On the other hand, 0.39mg in milliliters is:

So, he needs to take 0.78ml

Answer:

$1000.45 is the new price.

Step-by-step explanation:

The fastest way in which to answer this question is to multiply $935.00 by 1.07.  That ".07" comes from "7%."

1.07($935.00) = $1000.45 is the new price.

Answer: 33

If you put all the numbers In order from least to greatest and find the middle number you'll get the answer

The solution for c in the equation is 35/3

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

\(c = 5\frac{5}{6} \times 2 \)

Express the equation properly

So, we have the following representation

c = 5 5/6 * 2

Convert the fraction to improper​ fraction

So, we have the following representation

c = 35/6 * 2

Evaluate the products

c = 35/3

Hence, the solution is 35/3

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Answer:

b

Step-by-step explanation:

no

Answer:

The answer is B. the Pythagorean theorem

Step-by-step explanation:

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