Calculate the value of X. C is the center of the circle.

The probability of selecting an orange marble is 0.33.

Option B is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of times each marble is selected.

Green = 4

Black = 6

Orange = 5

Total number of times all marbles are selected.

= 4 + 6 + 5

= 15

Now,

The probability of selecting an orange marble.

= 5/15

= 1/3

= 0.33

Thus,

The probability of selecting an orange marble is 0.33.

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Answer:

(-5) to the power of 2 is 25 and -5 to the power to 2 is -25 because minus in not multiplying by antohrer minus

Step-by-step explanation:

Answer:

answer in pic, hope it helps

The is used as a measure of to overcome the range is influenced too much by .

?

are then selected as 3 points such that

they create four groups in the data, each groups approximately possessing 25% of the data.

(inter quartile range) is defined as the between third and first quartile.

Since, range is used as a measure of to overcome the difficult of the range.

The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.

Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by

Learn more about here:

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The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.

The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.

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Equation for the hyperbola with center at \( (5,-8) \), focus at \( (8,-8) \), and vertex at \( (7,-8) \): = (8, -8).Let a be the distance between the center and the vertex.

Then, a = distance between the center and vertex = h + a - h = 7 - 5 = 2

We also know that c is the distance between the center and the focus.Let's find c:c = distance between the center and focus = h + c - h = 8 - 5 = 3c² = a² + b² b² = c² - a²  = 9 - 4 = 5 b = ±√5The equation of the hyperbola is:

Putting the values of a, b, h and k in the above equation, we get:\[\frac{(x - 5)^2}{4} - \frac{(y + 8)^2}{5} = 1\]4. Sketch a graph of the hyperbola: \[ \frac{(y+1)^{2}}{25}-\frac{(x-3)^{2}}{9}=1\]

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Answer:

1,2,3,

Step-by-step explanation:

The annual growth rate is approximately 0.1151, or 11.51%.

The number that should be added to the exponential growth model for Middletown's speeding tickets depends on the specific parameters of the model.

However, we can use the given information to estimate the growth rate and make some predictions.

Let P(t) be the number of speeding tickets issued in Middletown t years after 2006, and let r be the annual growth rate (in decimal form).

Then the exponential growth model is:

P(t) = P0ert

where P0 is the initial amount of speeding tickets issued in 2006, which is 170.

To find the annual growth rate, we can use the fact that the number of tickets issued doubles every 6 years, which means:

P(6) = 2P0= 2(170) = 340P(12) = 2P(6) = 2(340) = 680P(18) = 2P(12) = 2(680) = 1360

and so on.

We can plug these values into the exponential growth model to get:340 = 170er(6)ln(2) = 6rln(2)r ≈ 0.1151 (rounded to 4 decimal places)

Therefore, the annual growth rate is approximately 0.1151, or 11.51%.

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Answer:

75

Step-by-step explanation:

5^-2 = 5*5 = 25/1

because it's (-) you need to flip it so 1/25

3/1 ÷ 1/25 = 3/1 × 25/1

because when you divide fraction you need to keep the first fraction as it is and change the symbol from (÷) to (×) and flip the second fraction. (KCF simple way to memorise it)

So  3/1 × 25/1 = 75/1

75/1 is same as 75

Step-by-step explanation:

"Max is going to borrow money to buy a TV. For one TV he must pay back $438 in 12 months. For the other TV, he must pay back $555 in 15 months. Which TV has lower monthly payments? Explain how you know"

let us solve for the monthly payment expected in both cases

given data

amount= $438

time =12 months

monthly pay = 438/12

monthly pay = $36.5 per month

given data

amount= $555

time =15 months

monthly pay = 555/15

monthly pay = $37 per month

Therefore the First plan which is $438 in 12 months has lower monthly payments because Max will pay $36.5 monthly, the second plan is $0.5 more which is $37

==================================================

Proof:

We'll break the proof into two cases which I'll label A and B

-----------

Case A: 'a' is even

k = some integer

a = 2k = some even integer

a+1 = 2k+1

a(a+1) = 2k(2k+1) = 2(2k^2+k) = 2*(some integer)

Since 2 is a factor of that last expression, this shows that a(a+1) is even when 'a' is even.

-----------

Case B: 'a' is odd

k = some integer

a = 2k+1 = some odd integer

a+1 = (2k+1)+1 = 2k+2

a(a+1) = (2k+1)(2k+2) = 2(2k+1)(k+1) = 2(some integer)

This shows that a(a+1) is even when 'a' is odd.

-----------

Therefore, for any integer 'a', the expression a(a+1) is always even.

Some examples:

-----------

Here's a slightly different way to interpret why the proof works.

a(a+1) consists of factors 'a' and 'a+1'

Either way, we'll have 2 as a factor somewhere in a(a+1).

Answer:

3x + 6 + 4x + 2 = 7x+8

Step-by-step explanation:

Answer:

Tan A for first page  25/49  

Tan A for second page 37/49

Tan B for first page 24/49

Tan B for second page 12/49

Answer:

882.1

Step-by-step explanation:

The Sum means addition if he got this answer he most likely multiplied those two numbers because he thought of multiplication Sum is just purely addition nothing else

Answer:

I'm guessing you add one since it says the ratio is equal for each one

Step-by-step explanation:

1:2

6th 6 water 7 juice

7th 24 water 25 juice

8th 18 water 19 juice

Answer:

10

Step-by-step explanation:

3x + 5y

Let x= -5 and y =5

3(-5) + 5(5)

Multiply first

-15 +25

Then add

10

To prove that a language is not context-free using the pumping lemma, you need to demonstrate that the language does not satisfy the pumping lemma's conditions. Here is an approach to proving that a language is not context-free using the pumping lemma:

1. Assume that the language L is context-free.

2. Choose a suitable "pumping length" p for the language L.

3. Select a string w in L such that the length of w is greater than or equal to p.

4. Decompose the string w into five parts: w = uvxyz, where the lengths of v and y are greater than 0, and the length of uvx is less than or equal to p.

5. Consider all possible cases of pumping (repeating) v and y while staying within the limitations set by the pumping lemma.

6. Show that for some pumping iteration, the resulting string is not in L, contradicting the assumption that L is context-free.

7. Conclude that the language L is not context-free based on the contradiction.

By following these and providing a valid counterexample, you can prove that a language is not context-free using the pumping lemma.

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The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

Definition of Pythagoras Theorem:

The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.

It is stated in this formula:

\((side)^2+(side)^2=(hypotenuse)^2\)

Given that,

Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

We must determine what x stands for.

We know that,

The height of building is 32x.

The width is 46x

The diagonal is 200 feet

So we form a triangle

From the Pythagoras theorem,

Hyp² = Side²+ Side²

200² = (32x)² + (46x)²

40000 = 1024x² + 2116x²

3140x² = 40000

x² = 12.73

Square root on both sides

x = √12.73

Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

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Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

Step-by-step explanation:

You want to compare various statistics related to Graduates and Non-graduates based on the given stem-and-leaf plot.

The number of responses in the 40s can be found by counting the leaves that have a stem of 4:

  Graduates: 6

  Non-graduates: 8

More Non-graduates had responses in the 40s.

The range for each group is found by subtracting the minimum value from the maximum:

  Graduates: 56 -21 = 35

  Non-graduates: 53 -23 = 30

The median of the group of 17 Graduates is the 9th element in the list, 41.

The median of the group of 18 Non-graduates is the average of the 9th and 10th elements in the list:

  (39+40)/2 = 39.5 . . . . . . less than 41

Graduates had the greater median number of hours.

<95141404393>

Answer:

true

Step-by-step explanation:

its like a bar graph but joint. theres no space between two consecutive bars

Answer:

8:00 am his temperature was 86 at 1 pm it was 76 it went down 10 in the 5 hours of time so it went down 2 every hour I hope this helps                                                                                                                                                                                                                                                                                                                                          

Step-by-step explanation:

The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

The answer is 13.5 gallon, using arithmetic operation

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

A family drinks 3 gallons of milk in two weeks.

in one week the family will drink is 3/2.

So in 9 week they going to drink = 3/2 * 913.5  galllons of milk.

Hence the family will drink 13.5 gallons of milk in 9 weeks.

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The data is given as:

Mean:

Trucks: 29

SUVs: 36

Mean Absolute Deviation:

Trucks: 4.57

SUVs: 5.14

Given that:

He recorded the number of trucks and the number of SUVs that sold each month in the table.

Month Trucks SUVs

June 25 30

July 22 35

August 25 40

September 30 32

October 28 29

November 33 36

December 40 50

The provided data indicate the mean values for two categories: Trucks and SUVs. The average value of trucks comes to 29, while that of SUVs is equal to 36. Furthermore, it is necessary to calculate their respective mean absolute deviation (MAD) values.

To compute this information, there exist formulas pertaining to each group separately converting into resulting MAD values. To acquire the MAD coefficient for both groups we use the following formula:

Σ|Individual Value - Mean| / Total number of values.

For Trucks, several individual values must be subtracted by the calculated majority of 29 using this formula; |25 - 29| = 4, |22 - 29| = 7, |25 - 29| = 4, |30 - 29| = 1, |28 - 29| = 1, |33 - 29| = 4, |40 - 29| = 11, which tally up to a sum of 32 according to our calculations.

Thus we can proceed by plugging our found quantity in the initial formula where the outcome is determined as being 4.57 rounded down to one decimal digit.

Similarly, when solving for SUV vehicles, with analogous calculations done beyond here, meaning summing (6 + 1 + 4 + 4 + 7 + 0 + 14)=36, gives an overall solution of 5.14, also still rounded to the nearest tenths decimal place.

Hence presenting the combined table below:

        Mean ---     Mean absolute deviation

Trucks 29 -------   4.6 (accurate to 4.57)  

SUVs 36 ---------     5.14

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The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).

The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity depend on the sample size and the number of groups being compared.

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The probability of success, p, is the same for each trial. Each outcome is either a success (P) or a failure (Q). The correct option is A.

Independence is a fundamental notion in probability theory, as in statistics and the theory of stochastic processes.

You should perform x trials until you observe a success.

We have given that,

There are exactly two possible outcomes success and failure.

We have to determine the following is NOT a common characteristic of a binomial distribution.

By process of elimination:-

A binomial experiment is a statistical experiment that must meet certain requirements

All trials are independent.

There are a fixed number of n trials.

The probability of success, p, is the same for each trial.

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Solving recurrence relations involves finding a closed-form expression or formula for the terms of a sequence based on their previous terms. Recurrence relations are mathematical equations that define the relationship between a term and one or more previous terms in a sequence.

a)Using the substitution method to find the precise function of n in closed form for the recurrence relation: T(n)=2T(n/3)+n²T(n) = 2T(n/3) + n²T(n/9) + n²= 2[2T(n/9) + (n/3)²] + n²= 4T(n/9) + 2n²/9 + n²= 4[2T(n/27) + (n/9)²] + 2n²/9 + n²= 8T(n/27) + 2n²/27 + 2n²/9 + n²= 8[2T(n/81) + (n/27)²] + 2n²/27 + 2n²/9 + n²= 16T(n/81) + 2n²/81 + 2n²/27 + 2n²/9 + n²= ...The pattern for this recurrence relation is a = 2, b = 3, f(n) = n²T(n/9). Using the substitution method, we have:T(n) = Θ(f(n))= Θ(n²log₃n)So the precise function of n in closed form is Θ(n²log₃n).

b) Using the substitution method to find the precise function of n in closed form for the recurrence relation T(n)=4T(n/2)+n, T(1)=1.T(n) = 4T(n/2) + nT(n/2) = 4T(n/4) + nT(n/4) = 4T(n/8) + n + nT(n/8) = 4T(n/16) + n + n + nT(n/16) = 4T(n/32) + n + n + n + nT(n/32) = ...T(n/2^k) + n * (k-1)The base case is T(1) = 1. We can solve for k using n/2^k = 1:k = log₂nWe can then substitute k into the equation: T(n) = 4T(n/2^log₂n) + n * (log₂n - 1)T(n) = 4T(1) + n * (log₂n - 1)T(n) = 4 + nlog₂n - nTherefore, the precise function of n in closed form is T(n) = Θ(nlog₂n).

c) Using the substitution method to find the precise function of n in closed form for the recurrence relation T(n)= 2T(n/2)+1, T(1)=1.T(n) = 2T(n/2) + 1T(n/2) = 2T(n/4) + 1 + 2T(n/4) + 1T(n/4) = 2T(n/8) + 1 + 2T(n/8) + 1 + 2T(n/8) + 1 + 2T(n/8) + 1T(n/8) = 2T(n/16) + 1 + ...T(n/2^k) + kThe base case is T(1) = 1. We can solve for k using n/2^k = 1:k = log₂nWe can then substitute k into the equation: T(n) = 2T(n/2^log₂n) + log₂nT(n) = 2T(1) + log₂nT(n) = 1 + log₂nTherefore, the precise function of n in closed form is T(n) = Θ(log₂n).

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Answer:

64 ft^2

Step-by-step explanation:

It is a square to start, so each side = x

then     (x+7 )    *    ( x -2)    = 90

          x^2 + 5x -14 = 90

           x^2 + 5x - 104 = 0         factor or use Quadratic Formula to fin x = 8 ft

Original area is then 8 x 8 = 64 ft^2  

Answer:

7

Step-by-step explanation: