Which word describes a triangle with three angles, if each angle measures less than 90°? Please help

The fraction of days that will be cloudy in the long-run is 0.4.

The question is asking what fraction of days will be cloudy in the long-run. To calculate this, we need to calculate the long-run probability of each type of weather (sunny or cloudy).
If at least one of the previous two days is sunny, then the probability of it being sunny the next day is 0.7. Therefore, the probability of it being cloudy on that day is 0.3.
If both of the previous two days are cloudy, then the probability of it being sunny on the next day is 0.5. Therefore, the probability of it being cloudy on that day is 0.5.
The long-run probability of a day being sunny is the average of the two probabilities for sunny days: 0.7 + 0.5/2 = 0.6.
The long-run probability of a day being cloudy is 1 - 0.6 = 0.4.

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Answer:

-10

Step-by-step explanation:

So we are going to find c(2)

c(2)=c(1)+10

c(2)=-20+10

c(2)=-10

The correct statement is that Joe performed worse than Eric.

To determine which student performed better, we need to compare their standardized scores. Joe's math score of 160 in class A has a mean (μ) of 150 and a standard deviation (σ) of 20. We calculate the z-score for Joe's score as follows:

z = (160 - 150) / 20 = 0.5

On the other hand, Eric's verbal score in class B is 80, with a mean (μ) of 72 and a standard deviation (σ) of 8. The z-score for Eric's score is calculated as:

z = (80 - 72) / 8 = 1

Comparing the z-scores, we find that Eric has a larger standardized score (z = 1) compared to Joe's score (z = 0.5).

This indicates that Eric's score is relatively higher compared to the mean and standard deviation of his class, suggesting better performance.

Therefore, the correct statement is that Joe performed worse than Eric.

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If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Only (d) 1 equation can you write to represent a single line using a point-slope equations

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

Equation = Linear equation

A linear equation can only be represented with one equation

When it is represented with multiple equations, the equations are equivalent equations

This means that the equations can be converted to one another

Hence, the solution is (d) 1 equation

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Answer:

M=(-2,2)

Step-by-step explanation:

Xm= -4 + 0/2 --> -4/2

Ym= 7 + -3/2 --> 4/2

Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.

Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.

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n = 14

Hi there !

7ⁿₓ7⁵⁾⁴ = 7³⁴

7ⁿₓ7⁵ˣ⁴ = 7³⁴

7ⁿₓ7²⁰ = 7³⁴

n + 20 = 34

n = 34 -20

n = 14

Good luck !

Answer:

n = 14

Step-by-step explanation:

Removing categorical variables and missing records:

When conducting a PCA, categorical variables are typically removed as they cannot be directly included in the analysis. Only numerical variables are considered for PCA. Once the categorical variables have been removed, you can then remove any records with missing numerical measurements. This ensures that the dataset used for PCA is complete and contains no missing values.

b. Conducting PCA and normalizing data:

PCA is sensitive to the scale of variables, so it is often recommended to normalize the data before performing PCA. Normalization ensures that variables with larger scales do not dominate the analysis. Standardizing the variables by subtracting the mean and dividing by the standard deviation is a common method of normalization.

After normalizing the data, you can conduct the PCA. The results of the PCA will provide you with information about the key components in the dataset. Each principal component represents a linear combination of the original variables. The key components are characterized by their eigenvalues, which indicate the amount of variance explained by each component. Components with larger eigenvalues explain more variance and are considered more important.

Additionally, you can analyze the loadings of each variable on the principal components. Loadings indicate the correlation between the original variables and the components. Variables with higher loadings on a component contribute more to that component.

It's important to interpret the results of PCA in the context of your specific dataset and research question. The key components identified can provide insights into the underlying structure and patterns in the data.

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Answer:

1/30 ton of rock left

Step-by-step explanation:

1/3+ 1/2= 5/6

5/6 - 4/5= 1/30 ton of rock left at the construction site.

Answer:

107%

Step-by-step explanation:

15-100%

16-x%

x%=16*100/15=106.6%~107%

Answer:

probability of getting 2 = 1/6

probability of getting an odd number=3/6=1/2

probability of getting number less than 5  = 4/6=2/3

multiply probabilities:

1/6x1/2x2/3

=2/36

=1/18

We know that the score is obtained by subtracting the number of incorrect answers from twice the number of correct answers. Let's use "x" to represent the number of correct answers.

According to the question, the player answered 40 questions in total. This means that the number of incorrect answers is 40 - x.
Now we can use the formula for the score:
Score = 2x - (40 - x)
We also know that the player obtained a score of 50. So we can set up the equation:
50 = 2x - (40 - x)
Simplifying the equation:
50 = 3x - 40
90 = 3x
x = 30
Therefore, the player answered 30 questions correctly.
To check, we can plug this value back into the formula for the score:
Score = 2x - (40 - x)
Score = 2(30) - (40 - 30)
Score = 60 - 10
Score = 50
So the score of 50 is correct and the player answered 30 questions correctly.

To find out how many questions the player answered correctly in the trivia game with a score of 50, we can use the given information to set up an equation:
Let x be the number of correct answers and y be the number of incorrect answers. According to the question, the score is calculated by subtracting the number of incorrect answers (y) from twice the number of correct answers (2x). The player answered 40 questions in total, so we have:
x + y = 40
2x - y = 50
Now we can solve this system of equations step-by-step:
1. Solve the first equation for x:
x = 40 - y
2. Substitute this expression for x in the second equation:
2(40 - y) - y = 50
3. Simplify the equation:
80 - 2y - y = 50
4. Combine like terms:
80 - 3y = 50
5. Subtract 80 from both sides:
-3y = -30
6. Divide both sides by -3:
y = 10
7. Substitute the value of y back into the expression for x:
x = 40 - 10
x = 30
The player answered 30 questions correctly in the trivia game with a score of 50.

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Volume = Area of the Base * Height

Determine the length of one side of the regular octagon base.

Calculate the area of the base. The formula for the area of a regular octagon is (2 + 2√2) * s^2, where s is the length of one side.

Measure the height of the prism.

Multiply the area of the base by the height to calculate the volume.

For example, let's say the length of one side of the regular octagon base is 5 units and the height of the prism is 8 units. Using the formula, the volume would be:

Area of the Base = (2 + 2√2) * s^2 = (2 + 2√2) * 5^2 = 100(2 + 2√2)

Volume = Area of the Base * Height = 100(2 + 2√2) * 8 = 800(2 + 2√2)

So, the volume of the octagonal prism in this example would be 800(2 + 2√2) cubic units.

Answer:

The answer would be (-2, -5)

Step-by-step explanation:

3x - 8y= 34

2(7x + 4y = -34)

3x - 8y=34

14x + 8y= -68

----------------------

     17x= -34    divided by 17

       x = -2

3(-2) -8y= 34

-6 -8y =34 add 6

   -8y= 40  divide by -8

      y = -5

if you want to check the answer replacing -2 for x and -5 for y

7(-2) + 4(-5)= -34

-14 + (-20) = -34

-34 = -34

I hope this help sorry I'm not good explaining

Hello,

a) photo attached

b) When y = 1, x ≈ 0.5

Verification through calculation :

We have :

y = 4x - 1

⇔ 1 = 4x - 1

⇔ 4x = 2

⇔ x = 2/4 = 0.5

This is just !

:-)

Answer:

B': (-12,15)

Step-by-step explanation:

Answer:

276 guests

Step-by-step explanation:

First, we need to combine the given fractions. Do this by finding a common denominator. 3 can go into 12 four times, but 12 cannot go into 3, therefore multiply 1/3 by 4 to get a common denominator.

1/3 x 4 = 4/12

Now add the two fractions together.

4/12 + 5/12 = 9/12 = 3/4

This means that the other 1/4 of guests chose the veg. option. If 69 people chose the veg. then we need to multiply that by four to find the total number of guests.

69 x 4 = 276

The wedding had 276 guests.

Answer:

321

Step-by-step explanation:

#/68&$#57:'#46&"¥<>`《\_£=%~《|

Answer:

  (x +1)² +(y +2)² = 36

Step-by-step explanation:

You want the equation of the circle with radius 6 and center (-1, -2).

The standard-form equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

You have (h, k) = (-1, -2) and r = 6. This means the equation of the circle is ...

  (x -(-1))² +(y -(-2))² = 6²

  (x +1)² +(y +2)² = 36

Answer:

25

Step-by-step explanation:

First you have to figure out how much each is worth by itself.

carmel =30

coco chips =50

coconut= 45

then add all of them you'd get 125

subtract 125 from 150 and get 25

The simplified expression without absolute value signs is x - 2.

To simplify the expression |x - 2| when x > 2, we can use the fact that if x is greater than 2, then x - 2 will be positive. In this case, |x - 2| simplifies to just x - 2.

This simplification is based on the understanding that the absolute value function, denoted by | |, returns the positive value of a number. When x > 2, x - 2 will be positive, and the absolute value function is not needed to determine its value. In this case, the expression simplifies to x - 2.

However, it's important to note that when x ≤ 2, the expression |x - 2| would simplify differently. When x is less than or equal to 2, x - 2 would be negative or zero, and |x - 2| would simplify to -(x - 2) or 2 - x, respectively.

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Answer:

isnt it 41

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

Since AC || BD

x + 90° = 180°

x = 180 - 90

x = 90°

The sum of the first three terms in the series is -557.921 and a bound for the error is approximately 865.474.

What is series?

In mathematics, a series is the sum of the terms of a sequence. It is represented by the sigma notation (∑), which indicates that a sequence of terms is being added together.

To calculate the sum of the series and find the bounds for the error, let's break down the problem step by step.

The series can be represented as:

\(\sum_{n=1}^{\infty} [(-1)^n * 400*n^{0.6}]\)

To find the sum of the first three terms, S3, we need to calculate the values for n = 1, 2, and 3 and then sum them up.

For n = 1:

\((-1)^1 * 400 * 1^{0.6\) = -400

For n = 2:

\((-1)^2 * 400 * 2^{0.6\) = 564.189...

For n = 3:

\((-1)^3 * 400 * 3^{0.6\) = -721.110...

Now, let's calculate the sum of the first three terms, S3:

S3 = -400 + 564.189 + (-721.110) = -557.921

The sum of the first three terms, S3, is approximately -557.921.

To find a bound for the error, we can use the Alternating Series Estimation Theorem. The theorem states that the error in approximating an alternating series is less than or equal to the absolute value of the next term.

In this case, the next term of the series would be for n = 4:

\((-1)^4 * 400 * 4^{0.6\) = 865.474...

The bound for the error is given by the absolute value of this term:

|Next Term| = |865.474...| ≈ 865.474

Therefore, a bound for the error is approximately 865.474.

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The solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π) are θ = π/6 and θ = 13π/6.

To find all solutions of the equation 2sinθ - 1 = 0 in the interval (0, 2π), we can solve for θ by isolating the sine term and then using inverse sine (arcsin) to find the angles.

Start with the equation: 2sinθ - 1 = 0.

Add 1 to both sides of the equation: 2sinθ = 1.

Divide both sides by 2: sinθ = 1/2.

Take the inverse sine (arcsin) of both sides: θ = arcsin(1/2).

The inverse sine (arcsin) of 1/2 is π/6, so we have one solution θ = π/6.

However, we need to find all solutions in the interval (0, 2π). Since the sine function has a periodicity of 2π, we can add 2π to the solution to find additional solutions.

Adding 2π to π/6, we get θ = π/6 + 2π = π/6, 13π/6.

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Please find attached photograph. The answers are 9a^2 and 15ab.

\(Answer: 2+(-1)+(-4)+...+(-238)=-9558.\\\sum\limits_{k=1}^{89}(5k+1)=20114.\)

Step-by-step explanation:

\(2+(-1)+(-4)+...+(-238)=\\a_1=2\ \ \ \ \ a_n=-238.\\d=(-1)-2\\d=-3.\\a_n=a_1+(n-1)*d\\-238=2+(n-1)*(-3)\\-238=2-3n+3\\-238=5-3n\\-243=-3n\\-3*81=-3*n\\Divide\ both \ sides\ of\ the\ equation\ by\ -3:\\81=n.\\\)

                   \(\diplaystyle\\\\\boxed {S=\frac{a_1+a_n}{2}*n }\)

 \(\displaystyle\\S=\frac{2+(-238)}{2} *81\\S=\frac{-236}{2}*81\\ S=-118*81\\S=-9558.\)

\(\displaystyle\\\sum\limits_{k=1}^{89}(5k+1)=\\a_1=5*1+1\\a_1=5+1\\a_1=6\\a_2=5*2+1\\a_2=10+1\\a_2=11.\\d=a_2-a_1\\d=11-6\\d=5.\)

                   \(\displaystyle\\\boxed {S=\frac{2a_1+(n-1)*d}{2}*n }\)  

\(\displaystyle\\S=\frac{2*6+(89-1)*5}{2}*89\\\\ S=\frac{12+88*5}{2} *89\\\\S=\frac{12+440}{2}*89\\\\ S=\frac{452}{2} *89\\\\S=226*89\\\\S=20114.\)

Answer:

1 2/5

Step-by-step explanation:

Improper Fraction - A fraction that has a numerator that is larger than the denominator

Mixed Fraction - A fraction with a whole number, or a quotient with its remainder

In order to convert improper fractions to mixed fractions, you must divide the numerator by the denominator.

So, 7/5 = 7 ÷ 5 = 1 2/5

The quotient being 1, and the remainder being 2/5 because there is 2 left out of the 5.