Arne and Falk are playing Rock, Paper, Scissors. Arne has won 5/8 of the total number of games, g, they
have played. Falk has won 1/4 of the games which is 6 less than Arne. How many total games did they
play?

The answers are: KP¯ has length 19 cm, XJ¯ has length 17 cm, JL¯ has length 16 cm, ∠JPY has measure 16.6°.

To solve this problem, we will use the properties of the circumcenter and perpendicular bisectors.

First, we can use the fact that PZ¯ is a perpendicular bisector of JL¯ to find that JL¯ has length 2*PZ = 16 cm.

Next, we can use the fact that PY¯ is a perpendicular bisector of KL¯ to find that KL¯ has length 2*PY = 28 cm.

Using the Pythagorean theorem in ΔYPX, we can find that XZ¯ has length 15 cm.

Now, we can use the fact that PX¯ is a perpendicular bisector of JK¯ to find that JK¯ has length 2*PX = 30 cm.

Using the Law of Cosines in ΔYJP, we can find that JP¯ has length 13 cm.

To find KP¯, we can use the fact that P is the circumcenter to find that KP¯ is also a radius of the circumcircle. Thus, KP¯ has length 19 cm.

To find XJ¯, we can use the fact that XZ¯ is a perpendicular bisector of YJ¯ and the Pythagorean theorem in ΔYPX to find that YJ¯ has length 24 cm. Then, we can use the fact that P is the circumcenter to find that XJ¯ is also a radius of the circumcircle. Thus, XJ¯ has length 17 cm.

To find ∠JPY, we can use the Law of Sines in ΔYPJ to find that sin(JPY) = sin(35°)/13. Solving for JPY, we find that JPY = 16.6° (rounded to one decimal place).

Therefore, the answers are:

KP¯ has length 19 cm.

XJ¯ has length 17 cm.

JL¯ has length 16 cm.

∠JPY has measure 16.6°.

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Answer:

1. Positive correlation

2. Strong positive correlation.

3. The categories are strongly related since students who slept 7 hours and above all got over 80% on the test and students who slept for less than 7 hours got less than 80% on the test.

Step-by-step explanation:

If question 2 is incorrect or doesn't seem right to you, I believe this is the formula which you need to use.

Answer:

• (0,12)

• (1,6)

• (9,8)  

• (-2,19)

• (8,3)    

Step-by-step explanation:

See the attached graph.

The two inequalities are graphed and the points that are solutions to both equations are all those in the purple area of the graph (the result of the red and blue solutions that overlap [= purple]).  The individual points are added to find which points do, or do not, fall within the solution set of both inequalities:

• (0,12)   Yes

• (-2,0)    No

• (-6,13)    No

• (1,6)      Yes

• (9,8)     Yes

• (-2,19)   Yes

• (8,3)      Yes

• (0,10)     No

The value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

A mixed fraction is a fraction that is created by fusing a fraction with a whole number. The fraction is defined as the division of the whole part into an equal number of parts.

The given fractions 34/9, 43/9, and 32/5 can be written in the form of the mixed fraction as below:-

To write the fractions in the form of the mixed fraction first divide the fraction by the complete number and put the remainder on the numerator.

34/9 = 3(⁷/₉)

43/9 = 4(⁷/₉)

32/5 = 6(²/₅)

Therefore, the value of the fractions in the mixed fraction form is 3(⁷/₉), 4(⁷/₉), and 6(²/₅) respectively.

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Answer:

0

Explanation:

Area of a square is expressed as;

A = L^2

L is the side length of the square

Given]Area A = 100m^2

Substitute inti= the formula

A < L^2

100 < L^2

L^2 > 100

L > \sqrt[100]

L > 10

Hence the range for the graph of the square's side is 0

Answer:

Which ordered pairs are solutions to the inequality 2x + y > - 4?

Select each correct answer.

(-1, -1), (4, -12), (5, -12), (0, 1), (-3, 0)

The correct answer is:

(4, -12)

Answer:

Step-by-step explanation:

Answer: No Possible Triangles

Step-by-step explanation: DeltaMath

Just hit the enter button, don’t type anything in the box or else it will mark it wrong.

Answer:

The sets E' and P' are not disjoint.

Step-by-step explanation:

Definition: Two sets are disjoint if their intersection is an empty set.

The sets are defined as follows.

\(\text{Universal Set}, U=\{n|n \in \mathbb{Z}^+\},$ where \mathbb{Z}^+$ is the set of positive integers.\)

\(H=\{n|n \in \mathbb{N}| n>100\}\\T=\{n|n \in \mathbb{N}| n<900\}\\E=\{n|n \in \mathbb{N}| n$ is even$\}\\P=\{n|n \in \mathbb{N}| n$ is prime\}\)

We are to determine if the sets E' and P' are disjoint.

E' and P' are the complements of E and P respectively.

Therefore:

\(E'=\{n|n \in \mathbb{N}| n$ is odd$\}\\P'=\{n|n \in \mathbb{N}| n$ is not prime\}\)

The intersection

\(E' \cap P' =\{n|n \in \mathbb{N}| n$ is odd but not prime$\}\)

Therefore, the sets E' and P' are not disjoint.

Answer:

Diamater= D

Radius= R

Center= C

Circumference= A

Hope it Helps? :)

Answer:

3:2 , 3/2,  3 to 2

Step-by-step explanation:

The best one is 3:2 cause it is the most used way to write a ratio. 3:2 also means 3 divided by 2 or 3 out of 2 so that's why you would use the other 2.

\(2x + 4 = 3 \\ \\ 2x = 3 - 4 \\ \\ 2x = - 1 \\ \\ x = - \frac{1}{2} \)

# Bora 7#

Answer:

\(2x + 4 = 3\)

\(2x + 4 - 4 = 3 - 4\)

\(2x = - 1\)

\( \displaystyle{ \frac{2x}{2} = -\frac{ 1}{2} }\)

\(x = \displaystyle{ - \frac{1}{2} }\)

Step-by-step explanation:

\( \frak{ \pink{iuynsm}}\)

Answer:

1

Step-by-step explanation:

Convert all to an improper fraction.

\(\frac{83}{12} -(\frac{36}{16} +\frac{11}{3})\)

\(\frac{83}{12}-\frac{71}{12}=\frac{12}{12} =1\)

good luck, i hope this helps :)

To solve the expression  \(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\)  , we need to first simplify the mixed fractions inside the parentheses.

Let's start by converting the mixed fractions into improper fractions:

6 11/12 can be written as (6 * 12 + 11) / 12 = 83/12

2 4/16 can be written as (2 * 16 + 4) / 16 = 36/16

3 2/3 can be written as (3 * 3 + 2) / 3 = 11/3

Now we can substitute these values back into the expression:

\(6\frac{11}{12}-(2\frac{4}{16} + 3\frac{2}{3})\) = 83/12 - (36/16 + 11/3)

Next, let's find a common denominator for the fractions within the parentheses, which is 48:

83/12 - (36/16 + 11/3) = 83/12 - (36/16 * 3/3 + 11/3 * 16/16)

                      = 83/12 - (108/48 + 176/48)

                      = 83/12 - 284/48

To subtract these fractions, we need to have the same denominator:

83/12 - 284/48 = (83 * 4) / (12 * 4) - 284/48

              = 332/48 - 284/48

              = (332 - 284) / 48

              = 48/48

              = 1

Therefore, the solution to the expression 6 11/12 - (2 4/16 + 3 2/3) is 1.

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The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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Answer: 4.97 / 0.00833 = 597.77 miles per hour.

Step-by-step explanation:

To find the average speed of the plane in miles per hour, we first need to convert the distance the plane travels from kilometers to miles. One mile is equal to 1.609 kilometers, so 8 kilometers is equal to 8 / 1.609 = 4.97 miles.

Next, we need to convert the time the plane takes to travel this distance from seconds to hours. There are 3600 seconds in an hour, so 30 seconds is equal to 30 / 3600 = 0.00833 hours.

To find the average speed of the plane in miles per hour, we can now divide the distance the plane travels by the time it takes to travel that distance. This gives us 4.97 / 0.00833 = 597.77 miles per hour.

Answer:

pretty sure.

Step-by-step explanation:

i believe in you.

The height of the ball as a function of the time is given by the following formula:

A. Maximum height of the ball

To find the value of the maximum height, we maximum the function h(t) computing its first derivative and equalling the result to zero:

Solving the last equation for t, we get time t when the height is maximum:

So the maximum height is given by the value of h(t) when t = 2.5:

The maximum height is 196ft.

B. Time until the ball hits the ground

The ball will hit the ground when h(t) = 0. So we must find the value of t such that:

Solving this equation is equivalent to finding the roots of a second-order polynomial:

Where:

• a = -16,

• b = 80,

• c = 96.

The roots of this polynomial are given by the following formula:

s

A. The maximum height of the ball is 196 ft.

B.

Answer:

1/8

Step-by-step explanation:

1/10 * 5/4 = 1/8

The value of the derivatives of f df(x, y, z)/dx + df(x, y, z)/dy is 20, when x = 1, y = 1, and z = 1.

To determine df/dt using the chain rule, we need to compute the partial derivatives of f with respect to x, y, and z, as the derivatives of x(t), y(t), and z(t) with respect to t.

We are given that the function as f (x, y, z)= 3x² + xyz + 4y³ z²

To Find df(x, y, z)/dx + df(x, y, z)/dy when x = 1, y = 1, and z = 1.

f (x, y, z)= 3x² + xyz + 4y³ z²

Therefore,

df(x, y, z)/dx = 6x + yz

df(x, y, z)/dy = xz + 12y² z²

Now we have;

df(x, y, z)/dx + df(x, y, z)/dy

6x + yz + xz + 12y² z²

When x = 1, y = 1, and z = 1 then we get;

6 + 1 + 1 + 12

= 20

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Answer:

122

Step-by-step explanation:

122x1

wait no....

answer: 72x122

Answer:

The median of the scores in this stem-and-leaf plot is 78

Step-by-step explanation:

The total data set represented by Stem and leaf in order from the least to the greatest are as following:

58, 59, 64, 64 , 66, 68, 72, 74, 75, 76, 78, 79, 83, 84, 86, 87, 88, 91, 93, 93, 95

The number of data is 21

The median of the data at the place number 11

So, median = 78

The percentage of people surveyed who live in an apartment and own a pet, the percentage of pet owners who own a cat, in order to determine the relative frequency with which a person owns a cat among those who live in an apartment.

To determine the relative frequency with which a person owns a cat among those who live in an apartment, we would need specific data from the survey. Without the actual survey data, I cannot provide an exact value. Explain how to calculate the relative frequency using the given information.

The relative frequency is the ratio of the number of people who own a cat and live in an apartment to the total number of people who live in an apartment. It represents the proportion of apartment dwellers who own cats.

To calculate the relative frequency,

Obtain the total number of people surveyed who live in an apartment.

Determine the number of people who own a cat and live in an apartment.

Divide the number of people who own a cat and live in an apartment by the total number of people who live in an apartment.

Multiply the result by 100 to express it as a percentage.

For example, if the survey included 200 apartment dwellers and 50 of them owned cats, the relative frequency would be:

Relative Frequency = (Number of cat owners in apartments / Total number of people in apartments) ×100

Relative Frequency = (50 / 200) × 100

Relative Frequency = 0.25 × 100

Relative Frequency = 25%

For example, if the survey found that 50% of people who live in an apartment own a pet, and out of those pet owners, 40% own a cat, then the relative frequency with which a person owns a cat among those who live in an apartment would be 0.5 * 0.4 = 0.2 or 20%.

So, in this hypothetical scenario, the relative frequency with which a person owns a cat among those who live in an apartment would be 25%.

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Answer:

The answer in mixed fraction form is \(9\frac{15}{17}\)

Step-by-step explanation:

Conclusion:

Therefore, the answer in mixed fraction form is \(9\frac{15}{17}\)

Hoped this helped.

\(BrainiacUser1357\)

Answer: X= 9 over 2

I think this is the right answer

sorry if it is not

Answer:

x=14

Step-by-step explanation:

you can set 5x+14 =9×-2 because they are supplementary angles so they are equal and then solve from there

Step-by-step explanation:

the sum of all external angles in a polygon is 360°.

a single external angle is therefore 360/n °.

the sum of all internal angles is

(n - 2) × 180

a single internal angle is then

(n-2) × 180 / n

with n being the number of sides.

the internal and the external angle are together 180°.

so, we know

x + 29x = 180

30x = 180

x = 6°

360/n = x

360/x = n

360/6 = 60

so, this polygon has 60 sides.

In a simple linear regression model we use the normal quantile plot of the residuals to evaluate if it is reasonable to assume the error term come from a normal distribution.

In a simple linear regression model, the normal quantile plot of the residuals is a graphical tool used to assess the normality assumption of the error term (also known as the residual). The error term represents the difference between the actual value of the dependent variable and the predicted value by the model.

Assuming that the error term follows a normal distribution is important for various reasons. Firstly, the normal distribution is a very common assumption in statistics, and many statistical methods rely on it. Secondly, a normal distribution of the error term is essential for making reliable predictions and for computing valid confidence intervals.

The normal quantile plot of the residuals compares the distribution of the residuals against a theoretical normal distribution. The plot consists of a straight line if the residuals are normally distributed. However, if the plot shows deviations from the straight line, it indicates non-normality in the residuals.

If the normality assumption is not satisfied, we need to explore the reasons for the non-normality and consider alternative methods to analyze the data, such as non-parametric methods.

Therefore, the normal quantile plot of residuals is an essential diagnostic tool in simple linear regression, as it allows us to evaluate the assumption of normality and make appropriate adjustments to the model.

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The next three terms in the following arithmetic sequence -4, 5, 14, 19 … include the following:

Term 5 = 32.

Term 6 = 41

Term 7 = 50

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 5 - (-4)

Common difference, d = 9

Next, we would determine the next three terms as follows:

a₅ = a₁ + (n - 1)d

a₅ = -4 + (5 - 1)9

a₅ = 32

a₆ = a₁ + (n - 1)d

a₆ = -4 + (6 - 1)9

a₆ = 41

a₇ = a₁ + (n - 1)d

a₇ = -4 + (7 - 1)9

a₇ = 50

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Answer:

7. To perform a t-test when the sample size is small, the sample must show no evidence of strong skewness and must contain no outliers.

Step-by-step explanation:

These are the two conditions required for performing a t test

- Sample Size: A small sample size can reduce the statistical power of a t-test, making it more challenging to detect significant differences between groups. Generally, a larger sample size is desirable to obtain more reliable and representative results.

- Skewness: Skewness refers to the asymmetry of the distribution of data. In a t-test, assuming normality of the data is important for accurate results. If the data exhibits strong skewness, the assumption of normality may be violated. In such cases, alternative non-parametric tests or transformations of the data may be more appropriate.

- Outliers: Outliers are extreme values that significantly differ from the rest of the data. They can have a disproportionate impact on the results of a t-test, particularly when the sample size is small. Outliers can distort the mean and affect the assumptions of normality and homogeneity of variance.

While the presence of skewness or outliers does not prohibit the use of a t-test with a small sample size, it is important to interpret the results with caution and consider alternative approaches if necessary. Robust statistical methods, such as non-parametric tests or bootstrapping, can be useful when dealing with non-normal or outlier-prone data, especially with small sample sizes. Additionally, visual inspection of the data distribution, such as through histograms or box plots, can help identify potential skewness or outliers.

Step-by-step explanation:

Simply graph the two equations....the intersection of the two graphs is the solution