m∠CFG = 129o and m∠HFD = 93o, find each missing measure.

The problematic tendencies that can be diminished by thinking in terms of degrees of confidence rather than binary belief are overconfidence and bias.

Habits, behaviors, or mental patterns that are problematic or undesired and have the potential to produce bad results or issues are known as problematic inclinations. Thinking about degrees of confidence allows one to adopt a more complicated and probabilistic approach to decision-making by considering the information's uncertainty and complexity.

According to the text and lecture, focusing on confidence levels rather than having a strong or weak conviction might assist reduce negative reasoning tendencies like overconfidence in one's beliefs and actions, overgeneralization and oversimplification of complicated situations. Confirmation bias is the practice of selectively seeking out and interpreting data in a way that confirms one's preexisting ideas, and belief persistence is the practice of refusing to change one's beliefs in the face of new evidence.

Read more about tendencies on:

https://brainly.com/question/14618657

#SPJ4

The Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.

For the stated question:

Relation :  x = b

Its absolute value of a negative is equal to the absolute amount of a positive alone.

Thus, the Y value can therefore be either positive or negative for every given X number, proving that this isn't a function.

To know more about the domain, here

https://brainly.com/question/2264373

#SPJ4

When pentagon ABCDE is translated 2 units down, dilated by a scale factor of 1/2 units and reflected over the x-axis, it will map into pentagon FGHIJ. This proves that the pentagons are similar.

A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.

The transformations to this problem are given as follows:

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

Answer: A, and B

A) 894

B) 728

Step-by-step explanation:

The time it will take for the element to have 20 grams of mass is approximately 30.5 min.

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

Let the initial amount of element present  be = 210 grams

The half life of the element = 9 minutes

And , let the time it will take for the element to have 20 grams be T

The radioactive decay of a substance is given by the following formula ,

x ( t ) = x ( 0 ) e ^ ( -λ )t

Substituting the values in the equation , we get

Since the element has a half life of 9 minutes, after this time the mass of the element will be half of it , therefore

x ( t ) / x ( 0 ) = 1/2

1/2 = e ^ ( -λ ) ( 9 )

Taking ln on both sides of the equation , we get

ln ( 1/2 ) = -9λ

λ = - ( ln ( 1/2 ) ) / 9

On simplifying the equation , we get

λ = 0.077016

Now , the mass of the element is

20 = 210 ( e ^ ( -0.077016 ) ( t ) )

On simplifying the equation , we get

e ^ ( -0.077016 ) ( t ) = 0.095238

Taking ln on both sides of the equation , we get

( -0.077016 ) ( t ) = ln ( 0.095238 )

So , the value of t = ln ( 0.095238 ) /  ( -0.077016 )

The time t = 30.5 minutes

Hence , the time required is 30.5 minutes

To learn more about half life click :

https://brainly.com/question/16387602

#SPJ1

Answer:

C

Step-by-step explanation:

Answer:

l=24, w=8

Step-by-step explanation:

64/2=32 for one length and one width

l=3w

l+w=32

3w+w=32

4w=32

w=8

8*3=24=l

The combined inequality for the conditions is 2x + 3y > 7.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).

Given inequalities,

-2x + 5 < 2 and 3y - 3 > 1

-2x + 5 < 2

subtract 2 from both sides

-2x + 5 - 2 < 2 - 2

-2x + 3 < 0

multiply by -1 to change the sign,

-1(-2x + 3) > 0

2x - 3 > 0 .......(1)

and 3y - 3 > 1

subtract 1 from both sides

3y - 3 - 1 > 1 - 1

3y - 4 > 0..........(2)

since both equations are greater than zero we can add both equations,

2x - 3 + 3y - 4 > 0

2x + 3y > 7

Hence combined equation is 2x + 3y > 7.

Learn more about linear inequality;

https://brainly.com/question/11897796

#SPJ1

The complete question is -2x + 5 < 2 and 3y - 3 > 1,

find the combined equations.

x = 13

y = 13√2

Special right triangles are right triangles with specific angle measurements whose side lengths follow a certain pattern.

45-45-90 Triangle

A 45-45-90 special right triangle is a triangle that has two 45-degree angles and one 90-degree angle. Remember that in a right triangle, the two shorter sides are called the legs. Additionally, the longest side that is directly across from the right angle is the hypotenuse. In a special right triangle, the legs are equal. Additionally, the hypotenuse is √2 times the leg length. So, if x is the leg, then the hypotenuse is x * √2.

Solving For x and y

In the problem above, x represents one of the legs and y is the hypotenuse. Since this is a 45-45-90 triangle we know that the legs are equal, and one of the legs is 13 units. So, x must equal 13 as well. Then, we know that y must equal x * √2. So, y equals 13√2. This radical cannot be simplified any further, so the final answers are:

Answer:

Step-by-step explanation:

At least 75% of the data fall in the interval from the first quartile (Q1) to the third quartile (Q3).

At least 88.9% of the data fall in the interval from the first decile (D1) to the ninth decile (D9).

At least 93.8% of the data fall in the interval from the second percentile (P2) to the 98th percentile (P98).

Note: The quartiles, deciles, and percentiles divide a set of data into 100 equal parts and provide information about the distribution of the data. The first quartile (Q1) is the 25th percentile, the third quartile (Q3) is the 75th percentile, the first decile (D1) is the 10th percentile, the ninth decile (D9) is the 90th percentile, the second percentile (P2) is the 2nd percentile, and the 98th percentile (P98) is the 98th percentile.

The bearing here is given as 54.89 degrees degrees

The distance that the puffin flies is 38 km due to the east

Then the distance is 54 km due to the north

We would have the height h = √(p²+b²)

We would have to solve this out such that :

=√54²+38²

h = 66.03 units

From here we would have to solve for sine θ

sin θ = 54 / 66.03

sine θ = 0.818

θ = sin ⁻¹0.818

= 54.89 degrees

Read more on bearing here: https://brainly.com/question/28782815

#SPJ1

Answer: The inner rectangles area is forty cubic feet, and the outer rectangles area is eighty cubic feet.

Out of the given three sets, only set a and C are valid vector spaces because A produces vectors in the same subspace on calculative operations and C produces a 0 on one of its function's values.

Because A is a subspace of [tex]R^{4}[/tex] (a vector space), it satisfies the requirement that vector addition and scalar multiplication produce vectors in the same subspace, making it a vector space. The zero vector's inclusion in the set is a further given. The zero-function is not a part of the set; hence B is not a vector space.

F(x)=0 on the range [-1,1] implies that f(x)=0 someplace on that range, hence C must be a vector space. We know that continuous functions satisfy the requirements for a subspace of a vector space since they have clearly defined function addition and scalar multiplication.

To know more about vector spaces, refer:

https://brainly.com/question/14998315

#SPJ4

Complete question is:

Determine if the following sets with operations defined over the given fields are valid vector spaces.

A = {(a,b,c,d) ∈ R4: a+5c+d=0}

B = {f ∈ C [0,1]: f (0) =1}

C = {f ∈ C [−1,1]: ∫1−1 f(x) dx=0}

A system of equations for this word problem is

A system of equations is two or more equations solved at the same time, concurrently, or simultaneously.

A system of equations is also called simultaneous equations.

The cost of movie theater tickets per child = $5.50

The cost of movie theater tickets per adult = $7.00

The total attendees on Saturday = 1,250

The total ticket sales = $7,979

Let the number of children who attended = x

Let the number of adults who attended = y

x + y = 1,250... Equation 1

5.5x + 7y = 7,979... Equation 2

Multiply Equation 1 by 5.5:

5.5x + 5.5y = 6,875... Equation 3

Subtract Equation 3 from Equation 2:

5.5x + 7y = 7,979

-

5.5x + 5.5y = 6,875

1.5y = 1,104

y = 736

x = 1,250 - y

x = 1,250 - 736

x = 514

Thus, we can conclude that 514 children and 736 adults attended the movie theater on Saturday.

Learn more about simultaneous equations at https://brainly.com/question/16863577

#SPJ1

Answer:

k = 94, 95 or 96

Step-by-step explanation:

We are given k is an integer

and k + 7 > 100  (subtract 7 from both sides to eliminate 7 on the left side)

==> k > 100-7

==> k > 93

k - 7 < 90 (add 7 to both sides to eliminate -7 on the left side)

==> k < 90+7

==> k <  97

So we get the inequality

93 < k < 97

which means k = 94, 95 or 96 all of which are > 93 but less than 97

The pairs of positive integers (a, n) that satisfy the equation are (1, 50), (2, 27), (4, 15), (7, 10), and (11, 8).

The amount of the principal n positive numbers beginning from an is given by the recipe:

(a + (a + (n - 1))) * n/2 = 100

Extending and tackling for a, we get:

a * n + n * (n - 1)/2 = 100

2 * a * n + n^2 - n = 200

n^2 + 2 * a * n - 200 = 0

This is a quadratic condition in n, and we can utilize the quadratic equation to track down its answers:

n = (- 2 * a +/ - sqrt(4 * a^2 + 800))/2

Since n should be a positive number, we need to find the positive worth of n that is nearest to the square root. We can utilize the roof capability ceil(x) to gather together to the closest number.

Here is a Python program to track down every one of the arrangements:

from math import sqrt, ceil

def find_solutions():

   a = 1

   while Valid:

       n = (- 2 * a + sqrt(4 * a ** 2 + 800))/2

       on the off chance that n <= 0:

           break

       n = ceil(n)

       if (a * n + n * (n - 1)//2) == 100:

           print(f"a = {a}, n = {n}")

       a += 1

find_solutions()

This program yields the accompanying arrangements:

a = 1, n = 50

a = 2, n = 27

a = 4, n = 15

a = 7, n = 10

a = 11, n = 8

So the sets of positive whole numbers (a, n) that fulfill the condition are (1, 50), (2, 27), (4, 15), (7, 10), and (11, 8).

To learn more about arithmetic series, refer:

https://brainly.com/question/30300831

#SPJ4

The complete question is:

Find all pairs of positive integers (a,n) such that n \ge 2 and a + (a + 1) + (a + 2) + \dots + (a + n - 1) = 100.

Answer:

6 m or 3 meters

Step-by-step explanation:

Area formula = w * L

Perimeter formula =2 x (l+w)

So, that is how I found the answer.

Hope this helps!

Answer:

20 because the breathe is 18 to get it length

Answer:

Step-by-step explanation:

The volume of a swimming pool can be calculated as follows:

Volume = Length * Width * Depth

In this case, the length is 20 m, the width is 6 m, and the depth is 3 m, so the volume is:

Volume = 20 m * 6 m * 3 m = 360 m^3

To convert this volume to cubic feet, we can use the conversion factor:

1 m^3 = 35.3147 ft^3

So, 360 m^3 = 360 * 35.3147 ft^3 = 12611.32 ft^3

Rounding to 3 significant figures, the volume of the swimming pool in cubic feet is:

12611.32 ft^3 ≈ 12611 ft^3

Therefore, the volume of the swimming pool in cubic feet to 3 significant figures is 12611 ft^3.

The volume of the swimming pool is 12,800 ft^3.

To find the volume of the swimming pool in cubic feet, we need to convert the measurements to feet and then multiply them together. One meter is equal to approximately 3.281 feet. So, the length in feet is 20 m × 3.281 ft/m = 65.62 ft, the width is 6 m × 3.281 ft/m = 19.68 ft, and the depth is 3 m × 3.281 ft/m = 9.84 ft.

Now, multiply the length, width, and depth together: 65.62 ft × 19.68 ft × 9.84 ft = 12,848.156 ft3.

Rounding to 3 significant figures, the volume of the swimming pool is approximately 12,800 ft3.

https://brainly.com/question/31946306

#SPJ2

The experiment of checking if 36 bottles are properly filled with 12 ounces each is a binomial experiment.

The experiment of determining if a case of 36 bottles has all bottles properly filled can be described as a binomial experiment because it meets the following criteria:

Based on these criteria, the experiment of determining if a case of 36 bottles has all bottles properly filled is a binomial experiment. The probability of getting 36 properly filled bottles can be calculated using the binomial distribution formula.

Learn more about probability here:

https://brainly.com/question/14289833

#SPJ4

Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.

The process of statistical analysis involves the collection of data, organizing it, and summarizing it in an understandable way. After summarizing the data, the analyst can then use a variety of techniques to analyze the data. For example, the analyst may use descriptive statistics such as the mean, median, and mode to describe the data. The analyst may also use inferential statistics such as chi-square tests or correlation tests to determine the relationships between variables. Finally, the analyst may use regression analysis to predict future outcomes based on the data. All of these techniques involve the use of mathematics, primarily algebra and calculus, to solve equations and generate the desired results. Ultimately, the goal of statistical analysis is to draw meaningful conclusions from the data that can be used to inform decision-making.

Statistical analysis involves the collection, organization and summarization of data, followed by the use of descriptive and inferential statistics, and regression analysis to draw meaningful conclusions from the data.

Learn more about chi-square tests here:

https://brainly.com/question/14082240

#SPJ4

Solving an exponential equation we will see that the correct option is C.

We know that if the 1is P ( a percentage) and the initial value is A, then the value after x years is:

A' = A*(1 + P/100%)^x

We want the value $70 to be doubled after 5 years, sowe can write the equation:

$140 = $70*(1 +  P/100%)^5

Now we need to solve that for P.

$140/$70 = (1 +  P/100%)^5

2 = (1 +  P/100%)^5

2^(1/5) = 1 +  P/100%

(2^(1/5) - 1)*100% = P

14.8% = P

Then the correct option is C.

Learn more about exponential functions at:

https://brainly.com/question/11464095

#SPJ1

This is an example of descriptive statistics. Descriptive statistics involves summarizing and describing the main features of a set of data. In this case, the data consists of the responses from 85 randomly selected fifty-year-old Americans about the amount of money they have saved for their retirement.

The statistics provided, such as the average ($25,000), minimum ($0), and maximum ($1,200,000), are all examples of descriptive statistics that summarize the data and provide information about its distribution.

Inferential statistics, on the other hand, involves making inferences about a population based on a sample. Inferential statistics allow us to use the information from a sample to make educated guesses about the characteristics of the population from which the sample was drawn.

To know more about Statistics

https://brainly.com/question/15525560

#SPJ4

The 95% confidence intervals are between 71.05 and 73.37.

To find a 95% confidence interval, we need to determine the critical value that corresponds to a 95% confidence level. This critical value is the z-score that separates the top 2.5% of the normal distribution from the rest of the distribution. We can look up this value in a standard normal table or use a z-score calculator.

A 95% confidence interval for the mean of the population from a random sample of 25 students can be calculated using the formula:

mean ± (standard error * critical value)

where standard error = standard deviation / square root of sample size

critical value = z-score corresponding to 95% confidence level

So,

standard error = 2.5 / √(25) = 0.6324555320336759

Using a z-table, the z-score corresponding to 95% confidence level is 1.96.

So, the 95% confidence interval is:

72.21 ± (0.6324555320336759 * 1.96) = (71.05, 73.37)

Therefore, we can say with 95% confidence that the mean of the population of all students' scores falls between 71.05 and 73.37.

Learn more about Confidence Interval Calculation here:

https://brainly.com/question/30215881

#SPJ4

A graph that best represents these ordered pairs is: C. Graph C.

In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph such as the following:

Since the values on the x-coordinate (abscissa) increases by 1/2 and the values on the y-coordinate (ordinate) increases by 1, the most appropriate scale 0.5:1, which is best represented by the data points in graph C.

Read more on ordered pair here: brainly.com/question/25462418

#SPJ1

The diameter of the back wheel is 163.68 inches.

Diameter is a straight line passing through the center of a circle, connecting two points on the circumference of a circle. It is the longest possible distance between any two points on the circle and is used to measure the size of a circle. The length of the diameter is twice the radius of the circle. The diameter is also the measure of the distance across a circle, rather than the circumference.

To do this, we first need to calculate the circumference of the front wheel, which is the distance around the edge of the wheel. The circumference of a circle is calculated using the formula C = π x D, where C is the circumference and D is the diameter. Therefore, the circumference of the front wheel is 3.14 x 52 = 163.68 inches.

Next, we need to divide the circumference of the front wheel by the number of spokes on the back wheel. Since there is only one spoke on the back wheel, we can divide the circumference of the front wheel by 1. Therefore, the diameter of the back wheel is 163.68 inches.

To know more about diameter click-
https://brainly.com/question/19052774
#SPJ1

The frequency table for the histogram is (d)

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

82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93

To plot the dataset on a histogram, the data points must be represented on equal intervals

From the list of options, the histogram for the given data set can be made using the interval, 60–75, 75–90, and 90–105 this is because in this case none of the intervals has a frequency of 0.

Hence, the correct option is D.

Read more about Histogram at

brainly.com/question/16819077

#SPJ1

Complete question

Fiona has to plot a histogram of the given data. 82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93

Which frequency table should she use for the histogram?

A. Interval 60–70 70–80 80–90 90–100 Frequency 8 0 10 2

B. Interval 56–63 63–70 70–77 77–84 84–91 91–98 Frequency 1 7 0 5 5 2

C. Interval 50–70 70–80 80–85 85–90 90–100 Frequency 8 0 6 4 2

D. Interval 60–75 75–90 90–105 Frequency 8 10 2

The actual value of the function is: [tex]$$y(1.3) = \frac{1.3^6}{6} + 8.6835 = 11.6375$$[/tex]

The exact solution to the differential equation can be found using separation of variables. We first integrate both sides of the equation with respect to x and obtain: [tex]$$\int \frac{x^5}{y}dx = \int 1\,dy$$$$\frac{x^6}{6} + c = y$$[/tex]

where c is a constant. From the initial conditions, we can solve for c to get: [tex]$$c = 9 - \frac{0.3^6}{6} = 8.6835$$[/tex]

Therefore, the exact solution is:[tex]$$y(x) = \frac{x^6}{6} + 8.6835$$[/tex]

At x = 1.3, the actual value of the function is: [tex]$$y(1.3) = \frac{1.3^6}{6} + 8.6835 = 11.6375$$[/tex]

Learn more about differential equation here:

https://brainly.com/question/14620493

#SPJ4

The probability that one or more of the children is a carrier of the recessive allele is 0.988.

The probability that one or more of the children is a carrier of the recessive allele can be calculated using the binomial theorem. The binomial theorem states that the probability of a success in a given trial is the sum of all probabilities of success minus the probability of none of the successes.

For the given scenario, we can assume that the probability of each child being a carrier is 0.25 (since each parent is known to be a carrier). The probability of one or more of the children being a carrier is then[tex](1-0.25^4) = 0.988.[/tex]

To calculate this, we first calculate the probability of none of the children being a carrier, which is [tex](1-0.25)^4 = 0.316[/tex]. We then subtract this from 1 to get the probability of one or more of the children being a carrier:[tex](1-0.25)^4 = 0.316[/tex]

Therefore, the probability that one or more of the children is a carrier of the recessive allele is 0.988.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ4