A frog sitting at the point (1, 2) begins a sequence of jumps, where each jump is parallel to one of the coordinate axes and has length 1, and the direction of each jump (up, down, right, or left) is chosen independently at random. the sequence ends when the frog reaches a side of the square with vertices (0, 0), (0, 4), (4, 4), and (4, 0). what is the probability that the sequence of jumps ends on a vertical side of the square?

To find E, we take half of the width of the confidence interval, which is (0.55 - 0.27)/2 = 0.14. The confidence interval is p ± E, which is 0.41 ± 0.14.

The confidence interval 0.27 less than p less than 0.55 can be expressed in the form of p with a hat on top plus or minus E as p ± E, where p is the point estimate and E is the margin of error. To find p, we take the average of the upper and lower bounds of the confidence interval, which gives us (0.27 + 0.55)/2 = 0.41. To find E, we take half of the width of the confidence interval, which is (0.55 - 0.27)/2 = 0.14. Therefore, the confidence interval can be expressed as p ± E, or 0.41 ± 0.14.

To express the given confidence interval 0.27 < p < 0.55 in the form of p ± E, follow these steps:

Step 1: Find the midpoint of the interval, which represents the sample proportion p.
Midpoint = (Lower Limit + Upper Limit) / 2
Midpoint = (0.27 + 0.55) / 2 = 0.41

So, p = 0.41.

Step 2: Calculate the margin of error (E) by subtracting the lower limit from the midpoint or the upper limit from the midpoint.
E = Midpoint - Lower Limit = 0.41 - 0.27 = 0.14

Step 3: Express the confidence interval in the desired format.
The confidence interval is p ± E, which is 0.41 ± 0.14.

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try (-18,-5)

my step by step explanation is you would distrubute the -5 and add it to the -13 and you would do the same thing for the orher side

hopefully this is correct

and may i have brainliest

We find LM: LM = 4x = 4 * 2 = 8 So, LM is 8 units long.  To solve this problem, we need to use the fact that the opposite sides of a parallelogram are equal in length. Let's start by calling the length of LM "4x", since the ratio of LM to MN is 4:3. That means the length of MN is "3x".

The perimeter of LMNO is the sum of the lengths of all four sides, so we can write an equation:

4x + 3x + 4x + 3x = 28

Simplifying this equation, we get:

14x = 28

Dividing both sides by 14, we find that:

x = 2

Now we can substitute this value of x back into our expressions for the lengths of LM and MN:

LM = 4x = 4(2) = 8

MN = 3x = 3(2) = 6

Since the opposite sides of a parallelogram are equal in length, the other two sides must also have lengths of 8 and 6. Therefore, the perimeter of LMNO is:

8 + 6 + 8 + 6 = 28

So we have found that LM has a length of 8.

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The probability that a winner wins a gold medal and from the US is 0.06349

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

The table of values

Gold medal from the US are 48

And the total number of winners of Gold is 48 + 90 + 107 + 114 + 397

So, we have

Total = 756

So, we have

P = 48/756

Evaluate

P = 0.06349

Hence, the probability is 0.06349

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Answer:  Each Friend will get 6 lemon drops.

Step-by-step explanation:

To find the answer we simply just have to divide 30/5 or 30 divided by 5. The answer to 30 divided by 5 is 6, therefor each friend will get 6 lemon drops.

The correct conclusion is:

Fail to reject the null hypothesis.

There is not sufficient evidence to warrant rejection of the claim that absences occur on different weekdays with the same frequency.

Option C is the correct answer.

We have,

To test the claim that employee absences occur on different weekdays with the same frequencies, we need to use the chi-squared goodness of fit test.

First, we calculate the expected frequencies for each weekday assuming they have the same frequency.

Since there are 5 weekdays, we divide the total number of absences (130) by 5 to get the expected frequency of 26 for each weekday.

Using the formula for the chi-squared goodness of fit test, we can calculate the test statistic as follows:

χ² = Σ (O - E)² / E

where O is the observed frequency and E is the expected frequency.

Using the sample data, we get:

χ² = [(37-26)^2/26] + [(15-26)^2/26] + [(12-26)^2/26] + [(23-26)^2/26] + [(43-26)^2/26]

χ² = 8.658

The degrees of freedom for this test is (5 - 1) = 4, since we have 5 weekdays and one parameter (the frequency) has been estimated.

Using a chi-squared distribution table with 4 degrees of freedom and a significance level of 0.05, we find the critical value to be 9.488.

Since the test statistic (8.658) is less than the critical value (9.488), we fail to reject the null hypothesis.

Thus,

The correct conclusion is:

Fail to reject the null hypothesis.

There is not sufficient evidence to warrant rejection of the claim that absences occur on different weekdays with the same frequency.

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Answer:

[tex]\frac{11}{9}[/tex]

Step-by-step explanation:

[tex]\frac{change in y}{change in x}[/tex]

[tex]\frac{-14-(-3)}{-9-0}[/tex] = [tex]\frac{-14+3}{-9-0}[/tex] = [tex]\frac{-11}{-9}[/tex] = [tex]\frac{11}{9}[/tex]

Helping in the name of Jesus,

Answer:

12

Step-by-step explanation:

-3(b - 5) + 7a - (9 - a) ^6                   a = 7 and b = -4

-3(-4 - 5) + 7(7) - (9 - 7)^6

= -3(-9) + 49 - (2)^6

= 27 + 49 - (64)

= 27 + 49 - 64

= 76 - 64

= 12      

The value of the angle B is  56. 64 degrees

Using the law of sines, we have;

sin A/a = sin B/b

Given that the parameters are;

Now, substitute the values, we have;

sin 110/225 = sin B/200

cross multiply the values, we get;

sin B = sin 110(200)/225

find the values

sin B = 0.9396(200)/225

Multiply the values

sin B = 187. 93/225

sin B = 0. 8352

Find the inverse

B = 56. 64 degrees

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When a cylinder is sliced in such a way that the plane passes through the cylinder in a slanted direction without going through either base, the resulting cross section is an elliptical shape.

To visualize this, imagine a cylinder with circular bases. When a plane intersects the cylinder in a slanted direction, it cuts through the curved surface of the cylinder, creating an elliptical cross section.

The exact shape and size of the elliptical cross section will depend on the angle at which the plane intersects the cylinder and the specific orientation of the cylinder. The major axis of the resulting ellipse will be parallel to the slanted direction of the plane, while the minor axis will be perpendicular to it.

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The expression that represents the circles in the model is 4x

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

The circles in the model

Represent each circle with x

Where

Using the above as a guide, we have the following:

When the above expressions are combined, we have

+9x - 5x

Evaluating the above expression

So, we have

4x

Hence, the solution is 4x

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To calculate the value at the 69.5th percentile, we first need to find the rank of this percentile.
69.5th percentile = (69.5/100) x 10 = 6.95th rank  
Plugging in the values:
value = (6.95 - 6) / (7 - 6) x (44 - 37) + 37
value = 40.7
Therefore, the value at the 69.5th percentile is 40.7 gold medals.

To calculate the value at the 69.5th percentile, follow these steps:

1. Arrange the data in ascending order:
33, 34, 36, 36, 37, 37, 44, 46, 47, 83

2. Determine the position of the 69.5th percentile in the dataset:
Position = (Percentile / 100) * Total number of data points
Position = (69.5 / 100) * 10 = 6.95

Since the position is not a whole number, we'll need to interpolate between the values at positions 6 and 7.

3. Find the values at positions 6 and 7:
Value at position 6 = 37
Value at position 7 = 44
To interpolate between these two values, we use the percentile formula:
value = (rank - rank_ lower) / (rank_ upper - rank_ lower) x (value_ upper - value_ lower) + value_ lower
where:
- rank = 6.95
- rank_ lower = 6
- rank_ upper = 7
- value_ lower = 37
- value_ upper = 44

4. Interpolate between the values at positions 6 and 7:
Value at 69.5th percentile = Value at position 6 + ((Position - Position 6) * (Value at position 7 - Value at position 6))
Value at 69.5th percentile = 37 + ((6.95 - 6) * (44 - 37))
Value at 69.5th percentile = 37 + (0.95 * 7)
Value at 69.5th percentile = 37 + 6.65
Value at 69.5th percentile = 43.65

The value at the 69.5th percentile is approximately 43.65 gold medals.

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Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we need to find the score that corresponds to the top 6% of scores.

First, we need to find the z-score that corresponds to the top 6%. We can use the standard normal distribution table or calculator to find this.

Using the calculator, we can input:

normalcdf(0.94,9999)

This gives us the area under the curve to the right of z=0.94, which is the z-score that corresponds to the top 6%.

We get: 0.1664

This means that the top 6% of scores correspond to z-scores greater than 0.94.

Now we can use the z-score formula:

z = (x - μ) / σ

where x is the score we want to find, μ is the mean (489), and σ is the standard deviation (112).

Rearranging this formula, we get:

x = z * σ + μ

Substituting in the values we have:

x = 0.94 * 112 + 489

x = 605.08

Rounding this to the nearest whole number, we get:

Minimum score required for the scholarship = 605

To find the minimum score required for the scholarship, we will use the given information about the SAT writing scores being normally distributed with a mean (µ) of 489 and a standard deviation (σ) of 112. We need to find the score that corresponds to the top 6%.

Step 1: Convert the percentage to a decimal. Top 6% = 0.06.

Step 2: Find the Z-score that corresponds to the top 6%. This means we want to find the Z-score that has 1 - 0.06 = 0.94 area to the left. Using a Z-table, you can find that the Z-score is approximately 1.555.

Step 3: Use the Z-score formula to find the minimum score (X):

Z = (X - µ) / σ

1.555 = (X - 489) / 112

Step 4: Solve for X:

1.555 * 112 = X - 489

174.16 = X - 489

X = 663.16

Round to the nearest whole number: X = 663.

So, the minimum score required for the scholarship is 663.

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Approximately 100 cells will contain values less than or equal to 0.1.
The RAND() function in Excel returns a pseudo-random number between 0 and 1. If you enter this function into 1000 cells, approximately 10% of these cells (0.1 probability) will contain values less than or equal to 0.1. Therefore, a number relatively close to 100 cells will have values less than or equal to 0.1.

The RAND() function is a built-in function in Excel that generates a random decimal number between 0 and 1. Each time the function is used, a new random number is generated.

The syntax for using the RAND() function is: =RAND() The function takes no arguments and simply returns a random decimal number.

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The other endpoint of the line segment with mid-point as( -4,7 ) and end point (3,8) is  (-11, 6).

The midpoint formula is expressed as:

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Where (x₁, y₁) and (x₂, y₂) are the coordinates of the two endpoints of the line segment.

Given that the midpoint is (-4, 7) and one endpoint is (3, 8).

Let the other endpoint be (x, y). T

Hence, we can set up two equations:

(x + 3) / 2 = -4 (equation for x-coordinates)

(y + 8) / 2 = 7 (equation for y-coordinates)

Solving for x and y, we get:

x + 3 = -8

x = -8 - 3

x = -11

For y:

y + 8 = 14

y = 14 - 8

y = 6

Therefore, the other endpoint is (-11, 6).

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Answer: The best i could come up with was the BLUE figure

Step-by-step explanation:

Sorry if it is wrong

Answer:

214 inches

Step-by-step explanation:

Arc length = 2πr(∅/360) = 2π(48)(255/360) = 68π = 213.63 ≈ 214 inches

In 3rd part, option (c) is not a function. In the 4th part, option (b) is not a function. In the 5th part, option (d) is the parent function for the given y.

For 3rd part,

We have to identify that which relation is not a function. A relation is said to be a function if all the elements of one set have a unique image in another set. In our question, as we can see in option (c), element 1 is connected to 2 elements which are 1 and -1. Element 4 is also connected to two elements which are 2 and -1. Therefore, it is not a function. All the other options are functions as each element has a unique image.

For 4th part,

If we observe option (a), we will get one value of y on equating x to any value. In option (b), y = [tex]\pm\sqrt{36 - x^{2}}[/tex], if we equate x to something, we will get two values of y. In options (c) and (d) also, we will get a unique value of y. Therefore, option (b) is not a function as we do not get a unique image for y.

For 5th part,

y = [tex]3\sqrt{x - 2} + 7[/tex]

To identify the parent function, we strip away all the arithmetic values to leave behind one higher-order operation on just x. Therefore, we will first strip away 3 which is a multiple, and 7 which is being added. Then, we will strip away 2. Now, we are left with just one operation on x which is [tex]\sqrt{x}[/tex]. Therefore, option (d) is the parent function for the given function.

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The value of x is approximately 44.31km

Firstly, we should know that 1 mile is not the same as kilometres, therefore:

1 mile = 1.60934 km.

Since the difference of x and y gives us 27, we represent it as:

x - y = 27 (in km)

But x is given in miles, so we have

1.60934x - y = 27km

Also the question says the distance x is same as y, then we replace y with x in the above equation:

1.60934x - x = 27

0.60934x = 27

x = 27/0.60934

Therefore x = 44.31km

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Answer:

AB = 10

CD = 10

AD = 29

BC = 29

Step-by-step explanation:

perimeter = AD + BC + AB + CD

AD + BC + AB + CD = 78

Let AB = x

Opposite sides of a parallelogram are congruent.

AB = CD = x

AD = BC = 2x + 9

2x + 9 + 2x + 9 + x + x = 78

6x + 18 = 78

6x = 60

x = 10

2x + 9 = 2(10) + 9 = 29

AB = 10

CD = 10

AD = 29

BC = 29

Answer:

AB = 10 CD = 10 AD = 29 BC = 29

Step-by-step explanation:

I did the test

Hope this helps :)

Each angle is 53 degrees, 32 degrees, and 95 degrees.

We know that,

A triangle is a three-sided polygon that is sometimes (but not always) referred to as the trigon. Every triangle has three sides and three angles, which may or may not be the same. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees. A triangle is a three-sided polygon with three vertices. The angle produced within the triangle is 180 degrees. It signifies that the total of a triangle's internal angles equals 180°.

Here,

The sum of angles of triangle is 180 degrees.

4x+5+7x+11+2x+8=180

13x+24=180

13x=156

x=12

T=4x+5

=4*12+5

=53 degree

U=2x+8

=2*12+8

=32 degree

V=7x+11

=7*12+11

=95 degree

The measure of each angle is 53 degree, 32 degree and 95 degree.

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Answer:

F. 100 <= u <= 110.

Step-by-step explanation:

The domain of a function is the set of all possible values of the independent variable (u) for which the function is defined.

In this case, the number of uniforms bought (u) must be at least 100 but not more than 110, since there are at least 100 members but not more than 110 members in the marching band.

Therefore, the domain of the function for this situation is:

100 <= u <= 110

So, the answer is F. 100 <= u <= 110.

Answer:

F: 100 [tex]\leq[/tex] u [tex]\leq[/tex] 110

Step-by-step explanation:

In scientific practice, we often use statistical inference to make conclusions about a population based on a sample. The use of confidence intervals is one method of making these inferences. A single 95% confidence interval can be interpreted as follows: we are 95% confident that our interval is one that contains the true population parameter.

This means that if we were to repeat the study many times, we would expect the true population parameter to be within our interval 95% of the time.
It is important to note that this interpretation assumes that the sample was selected randomly and that the assumptions for the statistical test used to construct the interval were met. Additionally, it is important to recognize that the interval is not a guarantee of the true population parameter being within it, but rather a range of values that is likely to contain the true parameter.

Overall, a single 95% confidence interval is a useful tool for making inferences about a population based on a sample, and it provides a range of values that we can be reasonably confident contains the true parameter.

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You need to multiply one side of an equality by ten and divide the other side by ten.

Divide by ten.

To maintain equality, you need to multiply one side of an equality by ten and divide the other side by ten.

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If i multiply one side of an equality by ten, to maintain the equality,  i have to divide the other side  by ten. o

When you multiply one side of an equality by ten, you are effectively scaling that side by a factor of ten. In order to maintain the equality, you need to apply the same scaling factor to the other side by dividing it by ten. This ensures that the relative relationship between the two sides remains unchanged, and the equality is preserved.

Therefore, to maintain equality, you need to multiply one side of an equality by ten and divide the other side by ten.

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The solution to the questions on algebra word problem are:

a) 10000 - x²

b) The area of the parking lot decreases

c) when x = 21, the area is 9559 ft²

a) Since the area of the new parking lot is expressed as:

(100 - x)(100 + x)

Expanding this gives:

10000 - x²

b) The original area is 10,000 ft²

The new area is 10000 - x²

Thus:

10,000 - (10000 - x²) = x²

Thus, the area of the parking lot decreases

c) when x = 21, we have:

10000 - 21² = 9559 ft²

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Answer:

5/6

Step-by-step explanation:

y2-y1/x2-x1

10-5/8-2 = 5/6

You'll obtain the mean square between and the mean square within, which are crucial for further statistical analyses such as the F-test or ANOVA. To calculate the mean square between and the mean square within after finding the between-group sum of squares and the within-group sum of squares, you can follow these steps:

1. Determine the degrees of freedom between groups (df_between):

Subtract 1 from the number of groups.
2. Determine the degrees of freedom within groups (df_within):

Subtract the number of groups from the total number of observations.
3. Calculate the mean square between (MS_between):

Divide the between-group sum of squares by the degrees of freedom between groups (MS_between = between-group sum of squares / df_between).
4. Calculate the mean square within (MS_within):

Divide the within-group sum of squares by the degrees of freedom within groups (MS_within = within-group sum of squares / df_within).

By following these steps, you'll obtain the mean square between and the mean square within, which are crucial for further statistical analyses such as the F-test or ANOVA.

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The quadratic function is C(t) = - t² + 5.

We know the equation of the parabola will be given as,

y = a(x - h)² + k

From the table, the coordinate of the vertex will be at (0, 5).

So, the equation can be

C(t) = a(t - 0)² + 5

C(t) = at² + 5

Since, the equation is passing through the point (1, 4)

4 = a (1²) + 5

4 = a + 5

a = - 1

Thus, the required equation is C(t) = - t² + 5.

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well, is a kite so it has two congruent triangles above and two congruent triangles below, for the perimeter is simply the hypotenuse of all four right-triangles.

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{above}\\ a=\stackrel{adjacent}{4}\\ o=\stackrel{opposite}{3} \end{cases} \\\\\\ above=\sqrt{ 4^2 + 3^2}\implies above=\sqrt{ 16 + 9 } \implies above=\sqrt{ 25 }\implies above=5 \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{below}\\ a=\stackrel{adjacent}{3}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ below=\sqrt{ 3^2 + 7^2}\implies below=\sqrt{ 9 + 49 } \implies below=\sqrt{ 58 } \\\\[-0.35em] ~\dotfill[/tex]

[tex]5~~ + ~~5~~ + ~~\sqrt{58}~~ + ~~\sqrt{58} ~~ \approx ~~ \text{\LARGE 25.2}[/tex]