An angle measures 48° less than the measure of its supplementary angle. What is the measure of each angle?

Answer:

0.245

Step-by-step explanation:

Divide both the numerator and denominator by 2.

49/200 will be 24.5/100

If you divide a number by 100, you move the decimal place 2 digits to the left. 24.5/100 will become 0.245

Answer:

7

Step-by-step explanation:

Answer:

Law of Syllogism

Step-by-step explanation:

Answer:

m= -1

Use: y = mx + b

Answer:

(x,y) -> ( -y , x )

Step-by-step explanation:

rotation formula:

90 degrees counterclockwise  (x,y) -> ( -y , x )

If Abby is collecting rainfall data, and she finds that one value of the data set is a high-value outlier, then the statement that must be true is "the outlier will pull the mean towards its value."

Outliers are the data points in a distribution that stand out from the rest. In other words, an outlier is a value that is far from the other values in the dataset.

An outlier is a value that is more than 1.5 times the interquartile range (IQR) greater than the upper quartile or less than the lower quartile plus 1.5 times the IQR, which is often referred to as the "1.5*IQR rule."

Here are a few statements that describe the impact of an outlier on a data set:

An outlier does not have an effect on the median value of the data set.

The presence of an outlier in a dataset will raise the range of the dataset.

The presence of an outlier in a dataset will raise the standard deviation of the dataset.

The outlier will pull the mean towards its value, as well as increase the value of the mean.

Know more about data set here:

https://brainly.com/question/30154121

#SPJ11

complete question:

Abby is collecting rainfall data. She finds that one value of the data set is high-value outlier. Which statement must be true?

1. Abby will use a different formula for calculating the standard deviation

2. The outlier will increase the standard deviation of the data set

3. The spread of the graph of the data will not change

4. Abby will not use the mean when calculating the standard deviation

Answer:

b)The outlier will increase the standard deviation of the data set.

Step-by-step explanation:

e2020

The correct statement regarding the variation of the two measures is given as follows:

C. Yes, they vary directly. When one quantity increases, the other quantity also increases.

For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.

More can be learned about negative and positive association at brainly.com/question/23489661

#SPJ1

The orange bookmarks that Mateo can make than aqua bookmarks is 1.

Based on the information given, let x = number of aqua bookmarks

(1/6) × x = 3/4

x = (3/4) × (6/1)

x = 18/4

x = 4.5

Rounding down shows that we can make 4 aqua bookmarks.

y = number of orange bookmarks

(1/6)y = 9/10

y = (9/10)*(6/1)

y = 54/10

y = 5.4

This rounds down to 5 orange bookmarks.

Therefore, Mateo can make 5-4 = 1 extra orange bookmark compared to aqua.

Learn more about fractions on;

https://brainly.com/question/78672

#SPJ1

Mateo is making bookmarks with different colored ribbon. The

amount of each color he has is shown in the table. Each bookmark

will be yard long. How many more orange bookmarks can he make

than aqua bookmarks?

Table:

Color: Length (yd):

———————————-

Aqua. 3/4

Orange. 9/10

Yellow. 15/16

Answer:

Parallel

Step-by-step explanation:

Answer:

1)parallel

Step-by-step explanation:

1)parallel

The value of the variable x in the equation –x + 8 + 3x = x – 6 is - 14.

The variables of an equation can be found as follows:

–x + 8 + 3x = x – 6

The variable in the equation is x.

Therefore,

–x + 8 + 3x = x – 6

combine like terms on the left side

-x + 3x + 8 = x - 6

2x + 8 = x - 6

subtract x form both sides of the equation

2x - x + 8 = - 6

x + 8 = -6

subtract 8 from both sides

x = -6 - 8

x = - 14

learn more on equation here: https://brainly.com/question/1347990

#SPJ4

Answer:

x= -14

Step-by-step explanation:

He have 48 different possible outfits to wear at work with three one-piece jump suits, five pairs of work pants, and eight work shirts.

The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n ways to carry out both of these actions if there are n ways to perform one action and m ways to perform another action after that.

Here,

5 pants with each of 8 shirts,

=5 x 8

=40 combinations of shirts and pants.

40 shirt/pants outfits + 8 jumpsuits = 48 total outfits.

With three one-piece jumpsuits, five pairs of work pants, and eight work shirts, he has 48 different work-appropriate outfit options.

To know more about counting principle,

https://brainly.com/question/10275154?referrer=searchResults

#SPJ4

A beverage company has decided to manufacture a new juice with mixed flavors, which is prepared from orange and pineapple. The vitamin contents are 5% of vitamin A and 2% of vitamin C in the orange flavor, while pineapple flavor contains 8% of vitamin C.

The company's policies are to add at least 20 L of orange flavor to the new juice and limit the vitamin C content to no more than 5%. The cost of orange flavor is $1000 per liter, while the cost of pineapple flavor is $400 per liter.To satisfy a minimum demand of 100 L of juice, we must determine the optimal amount of each flavor to use.A) A linear programming model is needed for the company to solve this problem (Minimize production cost of the new juice)B) Use a graphic solution for this problem.The objective function of the optimization problem can be given as:min C = 1000x + 400yThe constraints that the company has are,20x + 0y ≥ 100x + y ≤ 5x ≥ 0 and y ≥ 0The feasible region can be identified by graphing the inequality constraints on a graph paper. Using a graphical method, we can find the feasible region, and by finding the intersection points, we can determine the optimal solution.The graph is shown below; The optimal solution is achieved by 20L of orange flavor and 80L of pineapple flavor, as indicated by the intersection point of the lines. The optimal cost of producing 100 L of juice would be; C = 1000(20) + 400(80) = $36,000.C) If the company decides that the juice should have a vitamin C content of no more than 7%, it would alter the problem's constraints. The new constraint would be:x + y ≤ 7Dividing the equation by 100, we obtain;x/100 + y/100 ≤ 0.07The objective function and the additional constraint are combined to create a new linear programming model, which is solved graphically as follows: The feasible region changes as a result of the addition of the new constraint, and the optimal solution is now achieved by 20L of orange flavor and 60L of pineapple flavor. The optimal cost of producing 100 L of juice is $28,000.

In conclusion, the optimal amount of each flavor that should be used to satisfy a minimum demand of 100 L of juice is 20L of orange flavor and 80L of pineapple flavor with a cost of $36,000. If the company decides that the juice should have a vitamin C content of no more than 7%, the optimal amount of each flavor is 20L of orange flavor and 60L of pineapple flavor, with a cost of $28,000.

To learn more about optimal cost visit:

brainly.com/question/32634756

#SPJ11

We do not have enough evidence to reject the manufacturer's claim that each batch has exactly 40% green, 20% yellow, 30% red, and 10% orange vitamins.

Setup Hypotheses

Null hypothesis: The percentages stated by the vitamin manufacturer are correct.

Alternative hypothesis: The percentages stated by the vitamin manufacturer are incorrect.

Calculate Expected Values

To calculate the expected values, we first need to find the total number of vitamins sampled:

n = 1997 + 1012 + 1491 + 571 = 5071

The expected number of vitamins of each color can be calculated using the percentages given by the manufacturer:

Expected number of green vitamins = 0.4 * 5071 = 2028.4

Expected number of yellow vitamins = 0.2 * 5071 = 1014.2

Expected number of red vitamins = 0.3 * 5071 = 1521.3

Expected number of orange vitamins = 0.1 * 5071 = 507.1

Calculate Test Statistic

We will use a chi-squared goodness-of-fit test to determine if the observed frequencies differ significantly from the expected frequencies. The test statistic can be calculated as follows:

χ² = Σ (Observed - Expected)² / Expected

For our data, the test statistic is:

χ² = [(1997 - 2028.4)² / 2028.4] + [(1012 - 1014.2)² / 1014.2] + [(1491 - 1521.3)² / 1521.3] + [(571 - 507.1)² / 507.1] = 6.349

Make a Decision

Using a chi-squared distribution table with degrees of freedom (df) = 4 - 1 = 3 and a significance level of α = 0.005, the critical value of χ² is 13.277. Since our calculated test statistic (6.349) is less than the critical value, we fail to reject the null hypothesis. There is not sufficient evidence to conclude that the percentages stated by the vitamin manufacturer are incorrect.

Conclusion: Based on our analysis, we do not have enough evidence to reject the manufacturer's claim that each batch has exactly 40% green, 20% yellow, 30% red, and 10% orange vitamins.

To learn more about Null Hypothesis visit : https://brainly.com/question/4436370

#SPJ11

We have created our own arithmetic sequence which is: a₁ = 3; a₂ = 6; a₃ = 9

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor.

An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.

For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.

An arithmetic progression is another name for an arithmetic sequence.

So, make up your own arithmetic order. the first three terms in writing.

Think about the numbers 3, 6, 9, 12, 15, etc.

a₁ = 3

a₂ = 6

a₃ = 9

Therefore, we have created our own arithmetic sequence which is: a₁ = 3; a₂ = 6; a₃ = 9

Know more about arithmetic sequence here:

https://brainly.com/question/6561461

#SPJ1

Correct question:

An arithmetic sequence is a sequence with a common difference. It can be represented by the recursive formula a1 = a (where a is the first term of the sequence); an = an - 1 + d. Create your own arithmetic sequence. Write out the first 3 terms.

Rite a partial decay series for At-217 undergoing the following sequential decays,

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

In order to change into a more stable state, a radioactive atom will naturally produce radiation in the form of energy or particles. It is necessary to distinguish between radioactive material and the radiation it produces. Beta, gamma, and alpha decay are the three kinds of radioactivity.

"Alpha decay," a common form of radioactive decay, happens when a nucleus emits an alpha particle (a helium-4 nucleus). During the usual radioactive decay process known as beta decay, a nucleus generates beta particles. The child nucleus will possess a greater atomic mass than the parent nucleus.

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

β decay:

213 Bi     →       0 e  +  213 Po

83                   -1           84

α decay:

213 Po    →        4 α  + 209 Tl

84                    2           82

β decay:

209 Tl     →        0 e  + 209 Pb

82                    -1          83

Therefore,

Rite a partial decay series for At-217 undergoing the following sequential decays,

α decay:

217  At    ​→        4 α  + 213 Bi

85                    2          83

To learn more about Radioactive decay use link below:

brainly.com/question/14053828

#SPJ4

Answer:

20√37/36

Step-by-step explanation:

1. Replace x with h and k in the equation:

3h² = 5h + 1 ... (Equation 1)

3k² = 5k + 1 ... (Equation 2)

2. Rearrange both equations so that one side is equal to zero:

3h² - 5h - 1 = 0

3k² - 5k - 1 = 0

3. Solve for h and k using the quadratic formula:

h = [5 ± √(5² - 43(-1))]/(2*3)

= [5 ± √37]/6

k = [5 ± √(5² - 43(-1))]/(2*3)

= [5 ∓ √37]/6

4. Find h² - k:

h² - k = ([5 + √37]/6)² - ([5 - √37]/6)

= (25 + 10√37 + 37)/36 - (25 - 10√37 + 37)/36

= 20√37/36

Answer:

The third one

Step-by-step explanation:

Have a great day

The justification lies in the use of the iteration formula, which is a well-established method for numerical approximation, and the step-by-step calculations using the given differential equation and initial conditions.

To approximate the value of y(1.4) using Euler's method with a step size of h = 0.2, for the initial value problem (IVP) y' = 8y + 3x, y(1) = 1.5, we follow these steps:

Step 1: Initialize the values.

We start by setting the initial condition:

x₀ = 1

y₀ = 1.5

Then we define the step size:

h = 0.2

Finally, we define the target value:

\(x_{target }\)= 1.4

Step 2: Iterate using Euler's method.

We use the following iteration formula:

yₙ₊₁ = yₙ + h * f(xₙ, yₙ)

where f(x, y) is the given differential equation, which is 8y + 3x.

We repeat this iteration until we reach the target value \(x_{target}\).

Iteration 1:

x₁ = x₀ + h = 1 + 0.2 = 1.2

y₁ = y₀ + h * f(x₀, y₀) = 1.5 + 0.2 * (8 * 1.5 + 3 * 1) = 1.5 + 0.2 * (12 + 3) = 1.5 + 3 = 4.5

Iteration 2:

x₂ = x₁ + h = 1.2 + 0.2 = 1.4

y₂ = y₁ + h * f(x₁, y₁) = 4.5 + 0.2 * (8 * 4.5 + 3 * 1.2) = 4.5 + 0.2 * (36 + 3.6) = 4.5 + 8.4 = 12.9

Step 3: Check if the target value is reached.

Since we have reached the target value \(x_{target}\) = 1.4, we can stop the iteration.

Step 4: Report the result.

The approximation of y(1.4) using Euler's method with h = 0.2 is 12.9.

To justify the answers, we used Euler's method, which is a numerical approximation method for solving ordinary differential equations. The method is based on linearly approximating the function using its slope at each step. By taking small steps (h) and iterating, we can approximate the value of y at the desired \(x_{target}\).

To know more about equation visit:

brainly.com/question/29538993

#SPJ11

Answer:3x10^0 or 3x10 to the power of 0

Step-by-step explanation:

I did the same exact one with my teacher i hope this helps you

Step-by-step explanation:

the line was translated. in other words : it was shifted. it only changed its position. no other attribute changed.

so, the length is still 4.

Answer:

?

Step-by-step explanation:

Answer:

5x - 7 ( √ x + 13)

5x√x + 65x - 7√x -91

√3 (5x - 7) +13 (5x - 7)

(5x - 7) (√3 + 13)

5x(√3 + 13) -7

Answer:

polynomial

the table shows x^2 = y

Answer:

I would say this is a polynomial function since there is no relation in the increasing y-values

Hope this helps!

Step-by-step explanation:

\( = {5}^{ \frac{3}{2} } \)

\( = \sqrt[2]{ {5}^{3} } \)

\( = \sqrt{ {5}^{3} } \)

The following random variable meets the criteria for a hypergeometric distribution: Out of 50 adults, 10 who have a graduate degree. A sample of 20 is taken. Define x to be the number of adults in the sample with a graduate degree.

A hypergeometric distribution is a type of probability distribution that measures the likelihood of a particular number of successes (in this case, adults with a graduate degree) in a sample without replacement.

A random variable that meets the criteria for a hypergeometric distribution is that which meets these conditions: A sample of size n is taken from a population of size N. The population has k successes and N - k failures.

The hypergeometric distribution is used when sampling is done without replacement, where the sample size is small relative to the population size. The sample size is typically less than 10% of the population size. When you have the information of the population, you can use the hypergeometric distribution.

Out of the options provided, the random variable that meets the criteria for a hypergeometric distribution is, Out of 50 adults, 10 who have a graduate degree. A sample of 20 is taken. Define x to be the number of adults in the sample with a graduate degree.

Know more about hypergeometric distribution here:

https://brainly.com/question/30797969

#SPJ11

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.

given

14 is tangent to the circle and 9 is a radius, making this a right triangle.

In order to resolve this issue, we can employ the Pythagorean theorem.

a^2 +b^2 =c^2

9^2+14^2 =x^2

81+196 = x^2

277 = x^2

Taking the square root of each side

sqrt(277) = sqrt(x^2)

sqrt(277) =x

Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.

To know more about Pythagorean theorem visit:

https://brainly.com/question/14930619

#SPJ1

The probability that he draws a pair of tens is  1/2652 or approximately 0.000378 which is approx 0.04%

The probability of drawing a pair of tens from a standard deck of cards is (number of ways to get a pair of tens) / (total number of possible outcomes).

In this case there are 4 tens (2 of hearts, 2 of diamonds, 2 of spades, 2 of clubs) and he is drawing 2 cards from the deck, so there is only 1 way to get a pair of tens. There are 52 cards in a standard deck, so the total number of possible outcomes is 52 * 51 = 2652.

So the probability of drawing a pair of tens is 1/2652 or approximately 0.000378 which is approx 0.04%

Learn more about probability here: https://brainly.com/question/24756209

#SPJ4