20% of a is 11. what is a

Answer:

Is Linear

Step-by-step explanation:

Because The number said that

P(X = 7), λ = 6: The Poisson probability of X = 7, with a parameter (λ) value of 6, is 0.1446. P(X = 11), λ = 12: The Poisson probability of X = 11, with a parameter (λ) value of 12, is 0.0946. P(X = 6), λ = 8: The Poisson probability of X = 6, with a parameter (λ) value of 8, is 0.1206.

The Poisson probability is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space, given the average rate of occurrence (parameter λ). The formula for Poisson probability is P(X = k) = (e^-λ * λ^k) / k!, where X is the random variable representing the number of events and k is the desired number of events.

To calculate the Poisson probabilities in this case, we substitute the given values of λ and k into the formula. For example, for the first case (a), we have λ = 6 and k = 7: P(X = 7) = (e^-6 * 6^7) / 7!

Using a calculator, we can evaluate this expression to find that the probability is approximately 0.1446. Similarly, for case (b) with λ = 12 and k = 11, and for case (c) with λ = 8 and k = 6, we can apply the same formula to find the respective Poisson probabilities.

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Answer:

r=2

Step-by-step explanation:

y = k x^r  is the formula for a direct variation

y = k x^ -r is the formula for a indirect variation

20= 5 (1/2)^ -r

Divide each side by 5

4 = (1/2) ^ -r

Rewriting

2^2 = 2^ -1 ^ -r

2^2 = 2 ^ r

The bases are the same so

2 =r

Answer:

r=-2

Step-by-step explanation:

because i had this questiion and i got it right

The possible value for the width is 10.

What is the length of a rectangle?

Since its sides are coupled, it essentially only has two distinct dimensions. The length of the rectangle is traditionally thought of as being the longer of these two dimensions, however, when the rectangle is depicted standing on the ground, the vertical side is typically referred to as the length.

Here, we have

The length of a rectangle is 5 times the width

L = 5w

120 < Perimeter = 2L + 2w

= 2(5w) + 2w

= 10w+2w = 12w

10 > w

w < 10

Hence, the possible value for the width is 10.

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Answer:

I believe it's 1.864114 miles.

Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

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Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

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The percentage of these funds are expected to be within ±6 standard deviations of the mean is 97.22% (approx).Hence, the required answer is 97.22.

The Chebyshev’s theorem is used to determine the percentage of observations that lie within a certain number of standard deviations of the mean in a set of data.

According to the Chebyshev rule, what percentage of these funds are expected to be within ±6 standard deviations of the mean can be calculated using the formula:

\($$1 - \frac{1}{k^2}$$\)

Where k is the number of standard deviations. For the question, the mean is 7.10 and standard deviation is 3.50.As per the given data, we can find that, the number of standard deviation from the mean is ±6.

Thus, k = 6.

The percentage of these funds are expected to be within ±6 standard deviations of the mean is:

\($$1 - \frac{1}{k^2} = 1 - \frac{1}{6^2} = 1 - \frac{1}{36} = 0.9722$$\)

Therefore, the percentage of these funds are expected to be within ±6 standard deviations of the mean is 97.22% (approx).

Hence, the required answer is 97.22.

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Answer:

The force's magnitude will be: F = k·|a|       with k being the spring's elastic constant and |a| is the absolute value of the displacement.

The direction can be any, as depends on the reference system you choose. If the reference system is directed in the opposite way of the elastic force, it will be negative, else positive, but in any case the elastic force will be directed towards the equilibrium position of the spring.

Answer:

Y = -7x + 24

Step-by-step explanation:

Answer:

38.33

Step-by-step explanation:

Given: Total amount = 120, Amount used = 74

To find: percent that was not spent

Solution: Firstly, find how much is 74 out of 120. To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For this case, to convert 74 to a percentage, 74 x 100 = ...61.67%

Then, 100% - 61.67 = 38.33

Answer:

A.   $47,143

Step-by-step explanation:

Given information:

Gross income: Total income before any deductions.

If take home pay is approximately 70% of the annual gross income, to be able to maintain the current lifestyle, 70% of the annual gross income needs to be at least $33,000.

Let x = annual gross income

Therefore:

70% of x = $33,000

⇒ 0.7x = 33000

⇒ x = 33000 ÷ 0.7

⇒ x = 47142.8571...

Therefore, the annual gross income needs to be $47,143 (nearest dollar) to maintain the current lifestyle.

Annual gross income be y

Option A

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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Presuming the 4-line means the student E-mail is composed of 4-lines, to be able to determine how many characters were on each line, let's divide the total characters that a student E-mail contained by 4.

We get,

Therefore, the Student E-mail of 250 Characters in 4 lines must have 125 Characters per Line.

The option that follow  is B. The data must be ranked before percentiles can be determined. Ranking involves ordering the data from lowest to highest or vice versa.

Once the data is ranked, percentiles can be calculated based on the position of each value in the ranked list. For example, the median is the 50th percentile, meaning that it is the value that separates the lower 50% from the upper 50%. In conclusion, ranking the data is a crucial step in determining percentiles for any set of data.

Percentiles are a way to measure the position of a specific value within a dataset relative to other values. To calculate percentiles, the data must first be ranked from lowest to highest or vice versa. The position of each value in the ranked list is then used to determine its percentile. For example, the 75th percentile is the value that separates the lower 75% from the upper 25%. Therefore, ranking the data is a crucial step in determining percentiles for any set of data.

To determine percentiles for a given set of data, the data must be ranked first. Ranking is the process of ordering the data from lowest to highest or vice versa, which enables the calculation of percentiles based on the position of each value in the ranked list.

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The function with an amplitude of 3 and a phase shift of π/2 is h(x) = 3 cos (2x - π/2) + 3.

The amplitude of a function is the distance between the maximum and minimum values of the function, divided by 2. The phase shift of a function is the horizontal shift of the function from the standard position,

(y = cos(x) or y = sin(x)).
To find the function with an amplitude of 3 and a phase shift of π/2, we need to look for a function that has a coefficient of 3 on the cosine term and a horizontal shift of π/2.
Looking at the given options, we can eliminate option a) because it has a coefficient of -3 on the cosine term, which means that its amplitude is 3 but it is inverted.

Option b) has a coefficient of 3 on the cosine term but it has a phase shift of -π/2, which means it is shifted to the left instead of to the right. Option d) has a phase shift of π/2, but it has a coefficient of -2 on the cosine term, which means its amplitude is 2 and not 3.
A*cos(B( x - C)) + D

Where A is the amplitude, B affects the period, C is the phase shift, and D is the vertical shift.

f(x) = -3 cos(2x - π) + 4

Amplitude: |-3| = 3

Phase shift: π (not π/2) b) g(x) = 3cos(2x + π) -1

Amplitude: |3| = 3

Phase shift: -π (not π/2) c) h(x) = 3 cos (2x - π/2) + 3

Amplitude: |3| = 3

Phase shift: π/2 d) j(x) = -2cos(2x + π/2) + 3200

Amplitude: |-2| = 2 (not 3)

Phase shift: -π/2
Therefore, the only option left is c) h(x) = 3 cos (2x - π/2) + 3. This function has a coefficient of 3 on the cosine term and a horizontal shift of π/2, which means it has an amplitude of 3 and a phase shift of π/2.
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Answer:

b

Step-by-step explanation:

eq y=x+4 is for x>=2 inclusive

Answer:

no it should bee

\( \tan( \alpha ) = \frac{15}{8} \)

Answer:

x = 15

Step-by-step explanation:

The angle between a tangent and a radius at the point of contact F is 90°

Then Δ GFE is a right triangle

Using Pythagoras identity in the right triangle

x² + 8² = 17²

x² + 64 = 289 ( subtract 64 from both sides )

x² = 225 ( take the square root of both sides )

x = \(\sqrt{225}\) = 15

Answer:

16 feet

Step-by-step explanation:

her first try is 2 and you multiply by 2 every time so her first would be 2 which we would multiply to get 4 which we would multiply again to get 8 which we would multiply AGAIN to get the final answer of 16

Given the standard basis vectors and the corresponding images under the linear transformation T, we can determine the image of a specific vector using the linear transformation properties.

To find T([1,3,-2]'), we can express [1,3,-2]' as a linear combination of the standard basis vectors: [1,3,-2]' = 1e1 + 3e2 - 2e3. Since T is a linear transformation, we can apply it to each component of the linear combination. Using the given images of the basis vectors, we have T([1,3,-2]') = 1T(e1) + 3T(e2) - 2T(e3).

Substituting the values of T(e1), T(e2), and T(e3), we get T([1,3,-2]') = 1*(-3,-4,4)' + 3*(0,4,-1)' - 2*(4,3,2)'. Simplifying the expression, we obtain T([1,3,-2]') = [-3,-4,4]' + [0,12,-3]' - [8,6,4]'. Combining like terms, we have T([1,3,-2]') = [-3+0-8, -4+12+6, 4-3-4]' = [-11,14,-3]'. Therefore, T([1,3,-2]') = [-11,14,-3]'.

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To get the answer, just divide, but you must not count in the rows that have less or more than 42 projects. 405/42=x

There are 9 rows that have exactly 42 projects because 42 x 9 = 378, which is the closest we can get to 405.

x = 9

Answer:

A

Step-by-step explanation:

1A). 1² + 4²

= 1 + 16

= √17

B). 1² + 16²

= 1 + 256

= √256

= 16

C). 2² + 8²

4 + 64

= 68

= 2√16

D). 2² + 15²

= 4 + 225

= √299

Answer:

187.9436

Step-by-step explanation:

Multiply

Answer:

Step-by-step explanation:

-3^0 doesn't simplify to the same thing as 3^0 because the first 3 is negative and the second is positive.

hope this helped :))

Answer:

There is a negative

Step-by-step explanation:

Every positive number to the 0 power is 1

Every negative number to the 0 power is -1

The provided program efficiently finds the last number written down by Peter by incrementing the number based on digit manipulation and avoiding individual number testing.

To efficiently find the last number written down by Peter, we can utilize a clever algorithm based on counting and digit manipulation. Here's an efficiently designed program in Python that solves the problem:

def find_last_number(n):

   if n < 1 or n > 10**18:

       return "Invalid input. Please enter a number between 1 and \(10^ {18}\)."

   num = 1  # Starting from 1

   digit = 1  # Current digit

   while num <= n:

       next_digit = digit + 1

       while num % (10 ** next_digit) // (10 ** digit) == 9:

           digit += 1

           next_digit += 1

       num += 10 ** digit

   return num - 1

# Test the program

number = int(input("Enter a number between 1 and \(10^{18\): "))

result = find_last_number(number)

print("The last number written down by Peter is:", result)

This algorithm avoids testing each number individually, significantly improving efficiency by incrementing the number based on the digit manipulation logic.

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The complete question is:

Peter likes numbers. As a meditation exercise, he likes to write down all the numbers starting with 1 whose digits are sorted in ascending order. For example, 11235888 is such a number. After a while, he stops. Write an efficiently designed program which, after entering a number between 1 and 10 * 18, represents the last number checked by Peter, outputs the last number written down by Peter. Examples: Input: 23245 Input: 11235888 Input: 111110 Input: 33245 Output: 22999 Output: 11235888 Output: 99999 Output: 29999 Tip: Going through the numbers one by one and testing them is not efficient enough.

The ratio of green apples sold to red apple old is:

7:5

If the store sold a total of 48 apples and 20 of them were red, then the number of green apples sold is:

To find the ratio of green apples to red apples, we divide the number of green apples by the number of red apples and express the result as a fraction:

So the ratio of green apples to red apples is 7:5, or written as a fraction, 7/5. This means for every 5 red apples sold, the store sold 7 green apples.

The ratio of green apples to red apples is a way of comparing the number of green apples to the number of red apples sold in a specific time period.

It provides a way to understand the proportion of green apples relative to red apples, and can be useful for the store to track the popularity of different types of apples.

Complete Question:

"A produce store offer red and green apple. In one morning they sold 48 apple total. If 20 of the apple they sold were red, what is the ratio of green apple sold to red apple sold?"

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Answer

Option B is correct

x = 4√3

Explanation

The right angle triangle is sketched above and we will use trignometric relations to solve this.

We need the value of x,

In a right angle triangle, the side opposite the right angle is called the Hypotenuse, the side opposite the given angle (let us use 60° as the given angle) is called the Opposite and the remaining side is called the Adjacent.

For this question,

Hypotenuse = ?

Opposite = 12

Adjacent = x

Using TOA, we can say that

Tan 60° = (Opp/Adj)

tan 60° = (12/x)

Note that Tan 60° = √3

tan 60° = (12/x)

√3 = (12/x)

Cross multiply and we have

x = (12/√3)

We can then rationalize this

x = 4√3

Hope this Helps!!!

Answer:  6 pieces

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

Explanation:

3/4 = 6/8 after multiplying both parts by 2

We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces

Note how 6*(1/8) = 6/8

Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.

Answer:

6 pieces

Step-by-step explanation:

1/8 + 1/8 + 1/8 + 1/8 + 1/8 + 1/8 = 6/8 = 3/4

Answer:

Part A: The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B: For the total distance is as close to 3 miles as possible, the start point of the parade should be at the point on Broadway with coordinates (9.941, 4.970)

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue; (4, 2)

For Broadway; (7.97, 2.49)

Step-by-step explanation:

Part A: The length of the given route can be found using the equation for the distance, l, between coordinate points as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where for the Broadway potion of the parade route, we have;

(x₁, y₁) = (12, 3)

(x₂, y₂) = (6, 0)

\(l_1 = \sqrt{\left (0 -3\right )^{2}+\left (6-12 \right )^{2}} = 3 \cdot \sqrt{5}\)

For the Central Avenue potion of the parade route, we have;

(x₁, y₁) = (6, 0)

(x₂, y₂) = (2, 4)

\(l_2 = \sqrt{\left (4 -0\right )^{2}+\left (2-6 \right )^{2}} = 4 \cdot \sqrt{2}\)

Therefore, the total length of the parade route =-3·√5 + 4·√2 = 12.265 unit

The scale of the drawing is 1 unit = 0.25 miles

Therefore;

The actual length of the initial parade =0.25×12.265 unit = 3.09 miles

The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles

Part B:

For an actual length of 3 miles, the length on the scale drawing should be given as follows;

1 unit = 0.25 miles

0.25 miles = 1 unit

1 mile =  1 unit/(0.25) = 4 units

3 miles = 3 × 4 units = 12 units

With the same end point and route, we have;

\(l_1 = \sqrt{\left (0 -y\right )^{2}+\left (6-x \right )^{2}} = 12 - 4 \cdot \sqrt{2}\)

y² + (6 - x)² = 176 - 96·√2

y² = 176 - 96·√2 - (6 - x)²............(1)

Also, the gradient of l₁ = (3 - 0)/(12 - 6) = 1/2

Which gives;

y/x = 1/2

y = x/2 ..............................(2)

Equating equation (1) to (2) gives;

176 - 96·√2 - (6 - x)² = (x/2)²

176 - 96·√2 - (6 - x)² - (x/2)²= 0

176 - 96·√2 - (1.25·x²- 12·x+36) = 0

Solving using a graphing calculator, gives;

(x - 9.941)(x + 0.341) = 0

Therefore;

x ≈ 9.941 or x = -0.341

Since l₁ is required to be 12 - 4·√2, we have and positive, we have;

x ≈ 9.941 and y = x/2 ≈ 9.941/2 = 4.97

Therefore, the start point of the parade should be the point (9.941, 4.970) on Broadway so that the total distance is as close to 3 miles as possible

Part C: The coordinates of the cameras stationed half way down each road are;

For central avenue;

Camera location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)

For Broadway;

Camera location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49).

This exercise is necessary to use the given map information and then make the distance between points, in this way we find that:

A)The proposed route does not meet requirement because it is longer than the maximum required length of 3 miles.

B) Broadway and Cedar Street

C) \(Central \ Avenue(4, 2)Broadway (7.97, 2.49)\)

So from the distance between points and the informed map we have:

A) The equation for the distance, as follows:

\(l=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\)

Where for the Broadway potion of the parade route, we have:

\((x_1,y_1)=(12,3)\\(x_2,y_2)=(6,0)\)

Applying the values ​​in the formula given above, we have:

\(l_1=\sqrt{(0-3)^2+(6-12)^2}=3\sqrt{5}\)

For the Central Avenue potion of the parade route, we have:

\((x_1, y_1) = (6, 0)(x_2, y_2) = (2, 4)\)

Applying the values ​​in the formula given above, we have:

\(l_2=\sqrt{(4-0)^2+(2-6)^2}=4\sqrt{2}\)

Therefore, the total length of the parade route:

\(3\sqrt{5} + 4\sqrt{2} = 12.265 \\0.25*12.265 unit = 3.09\ miles\)

B) The two streets that are the same distance apart are the streets: Broadway and Cedar Street.

C) The coordinates of the cameras stationed half way down each road are:

For Central Avenue:

\(Camera \ location = ((6 + 2)/2, (4 + 0)/2) = (4, 2)\)

For Broadway:

\(Camera\ location = ((6 + 9.941)/2, (0 + 4.970)/2) = (7.97, 2.49)\)

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