What single decimal multiplier would you use to increase by
14% followed by a 1% decrease?

Given the fraction of each colored chalk, Andrea is right that less than 1/2 the chalk in the bucket is blue.

Total = 2/6 + 5/12 + 3/12

= (4+5+3) / 12

= 12/12

= 1

Fraction of blue : Total chalk

= 5/12 : 1

Blue = 5/12 ÷ 1

= 5/12 × 1/1

= 5/12

= 0.42

So,

1/2 = 0.5

Therefore, Andrea is right that less than 1/2 the chalk in the bucket is blue.

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The required perimeter of the hexagon is 24 units.

Given that,
A regular hexagon is formed from 6 equilateral triangles.
Each triangle has a perimeter of 12.
the perimeter of the hexagon is to be determined

Perimeter is the measure of the figure on its circumference.

A polygon is defined as a geometric shape that contains n number of sides of the same size and close shape example, equilateral triangle, square, pentagon, etc.

A regular hexagon is formed from 6 equilateral triangles.
each triangle has a perimeter of 12.
each side of the triangle = 12 / 3
                                      = 4
Now hexagon has 6 sides so the perimeter of the hexagon  = 6 * 4

                                                                                            = 24

Thus, the required perimeter of the hexagon is 24.    

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

The length of ST in the triangle STU, we can use the sine rule. Given that the measure of angle ZU is 90°, angle ZT is 26°, and US is 13 feet, we can calculate the length of ST to the nearest tenth of a foot. Therefore, the length of ST in the triangle STU is approximately 5.45 feet.

In triangle STU, we have angle ZU as a right angle, which means triangle STU is a right triangle. The sine rule can be used to relate the lengths of the sides and the measures of the angles in a triangle. The sine rule states that in any triangle, the ratio of a side length to the sine of its opposite angle is constant.

Using the sine rule, we can write:

ST / sin ZT = US / sin ZU

Given that sin ZU = 1 (since ZU is a right angle), and US = 13 feet, we can substitute these values into the equation:

ST / sin 26° = 13 / 1

To find the length of ST, we can solve for it:

ST = sin 26° * 13

Evaluating the right-hand side of the equation, we find:

ST ≈ 5.45 feet (rounded to the nearest tenth of a foot)

Therefore, the length of ST in the triangle STU is approximately 5.45 feet.

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Hey there! :)

Answer:

㏒\(_{5}\) (1/25) = -2.

Step-by-step explanation:

Starting with:

㏒\(_{5}\) (1/25) =

We can rewrite this expression as:

\(5^{x} = 1/25\)

1/25 is equivalent to \(5^{-2}\), therefore:

\(5^{x} = 5^{-2}\)

x = -2.

Therefore, ㏒\(_{5}\) (1/25) = -2.

Bayes' Theorem is a mathematical theorem that enables the revision of prior probabilities based on new information or evidence.

This theorem is widely used in statistics, machine learning, and other fields that deal with uncertainty and probabilistic reasoning. Contrary to the first option mentioned in the question,

Bayes' Theorem can be used when conditional probabilities are known, and it enables the calculation of posterior probabilities, which is the probability of a hypothesis or event given the available evidence.

Therefore, the third option is correct; Bayes' Theorem enables the use of sample information to revise prior probabilities. This theorem is highly valuable because it allows the integration of new data or knowledge into the decision-making process,

which can lead to more accurate predictions and better-informed decisions. In summary, Bayes' Theorem is a powerful tool that requires knowledge of probabilities and enables the calculation of posterior probabilities based on new evidence or information.

By combining prior probabilities with likelihoods (based on new data), we can calculate posterior probabilities, which represent our updated knowledge.

This process is crucial in making informed decisions in various fields, such as data science, finance, and medical diagnosis.

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Assuming the function has the form r(t) = (t^2 + 3, 2t - 1, t + 1), the curvature can be found as follows:

To find the curvature, κ(t), of a vector-valued function r(t), you can use the formula:

κ(t) = || r'(t) × r''(t) || / || r'(t) ||^3

First, compute the first and second derivatives of r(t):

r'(t) = (2t, 2, 1) and r''(t) = (2, 0, 0)

Next, compute the cross product r'(t) × r''(t):

r'(t) × r''(t) = (0, -2, 4)

Now, find the magnitudes:

|| r'(t) × r''(t) || = sqrt(0^2 + (-2)^2 + 4^2) = sqrt(20)
|| r'(t) || = sqrt((2t)^2 + 2^2 + 1^2) = sqrt(4t^2 + 5)

Then, compute the curvature κ(t):

κ(t) = sqrt(20) / (sqrt(4t^2 + 5))^3

This is the curvature of the given vector-valued function for any value of t.

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Answer:

The answer is K= -1/45 if the K isnt supposed to be in there then 19=2

Step-by-step explanation:

Answer:

D all real numbers

Step-by-step explanation:

Hope this helped

Answer:

\( \frac{15,4+14,5+13,1+12,3 + x}{5} = 14.2\)

\( \frac{55.3 + x}{5} = 14.2 \\ \)

\(11.06 + \frac{x}{5} = 14.2\)

\( \frac{x}{5} = 3.14\)

\( \frac{x}{5} = 3.14\)

\(x = 3.14 \times 5 = 15.7\)

the heaviest fish was 15.7

I hope it is right

Answer:

134.375

Step-by-step explanation:

43 is 32% of what number

32% = 0.32

43/0.32 = 134.375

The size of sample is 6765 if the candidate wants a 1% margin of error at a 90% confidence level.

A statistic called the margin of error measures the degree of random sampling error in a survey's findings. It states a probability that the outcome of a sample is likely to be close to the conclusion one would obtain if the entire population had been questioned. a figure derived from a random sample that indicates the likely magnitude of the sampling error in a population parameter estimate.

Given,

Margin of error = 0.01

Confidence level = 90%

Let proportion of people be 0.5

E = Z × √\(\frac{P(1-P)}{n}\)

n = P(1-P) (Z/E)²

n = 0.5(1 - 0.5) (1.546/0.01)²

n = 6765.0625

n = 6765

The size of sample is 6765 if the candidate wants a 1% margin of error at a 90% confidence level.

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Answer:

anung itsura ng sand pit?

The values for numbers #21 through #26 are as follows:

#21: 2.33% or 0.0233. #22: $56.4842. #23: 1.85% or 0.0185. #24: $56.4148. #25: 3.64% or 0.0364. #26: $57.4397

#21: 2.33% (arithmetic mean as a fraction: 0.0233)

#22: $56.4842 (result of the calculation)

#23: 1.85% (geometric mean as a fraction: 0.0185)

#24: $56.4148 (result of the calculation)

#25: 3.64% (continuous mean as a fraction: 0.0364)

#26: $57.4397 (result of the calculation)

To fill out numbers #21 through #26, we need to calculate the values for each term using the given information and convert the percentages to fractions.

#21: The arithmetic mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #21 = 2.33% = 0.0233.

#22: Multiply the starting price ($53.07) by the compound factor (1 + arithmetic mean)^3. Substitute the value of #21 into the calculation. Therefore, #22 = $53.07 x (1 + 0.0233)^3 = $56.4842.

#23: The geometric mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #23 = 1.85% = 0.0185.

#24: Multiply the starting price ($53.07) by the compound factor (1 + geometric mean)^3. Substitute the value of #23 into the calculation. Therefore, #24 = $53.07 x (1 + 0.0185)^3 = $56.4148.

#25: The continuous mean is given as a percentage. Convert it to a fraction by dividing by 100. Therefore, #25 = 3.64% = 0.0364.

#26: Multiply the starting price ($53.07) by the continuous factor e^(continuous mean x 3). Substitute the value of #25 into the calculation. Therefore, #26 = $53.07 x e^(0.0364 x 3) = $57.4397.

Hence, the values for numbers #21 through #26 are as calculated above.

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Answer:

x = 2

Step-by-step explanation:

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

\( 2=\sqrt{3x-2} \)

4 = 3x - 2

3x = 6

x = 2

Answer:

d or c more likey d

Step-by-step explanation:

Answer:

1. 18 2. 13 3. 36

Step-by-step explanation:

Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

\(Speed = \frac{Distance}{Time } = \frac{120}{3} = 40mph\)

T = 75minutes = (75/60) hours

\(Distance = Speed \times Time = 40 \times \frac{75}{60} =\frac{40\times 75}{60} = 50miles\)

option A

Answer:

B. 60 miles

Step-by-step explanation:

The series converges for all values of p > 0. This can be shown using the alternating series test and the fact that the terms of the series are alternating and decreasing in absolute value for n ≥ 3.

We can use the alternating series test to show that the series converges for all p > 0.

First, note that the terms of the series are alternating and decreasing in absolute value for n ≥ 3:

|(-1)^(n-1)(ln n)p/n^2| = [(ln n)p/n^2] ≤ [(ln 3)p/n^2] for n ≥ 3.

To apply the alternating series test, we need to show that the sequence of absolute values of the terms converges to zero. This follows from the fact that:

lim_{n->∞} [(ln 3)^p/n^2] = 0,

which can be shown using the squeeze theorem with the inequality [(ln n)^p/n^2] ≤ [(ln 3)^p/n^2].

Therefore, by the alternating series test, the series converges for all p > 0.

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Oscar the ostrich travels at a speed of 45 miles per hour on land

From the question, we are to calculate how fast Oscar the ostrich travel

To find the speed at which Oscar the ostrich travels, we can use the formula:

Speed = Distance / Time

In this case, the distance that Oscar travels is 180 miles, and the time it takes him to travel that distance is 4 hours.

Substituting these values into the formula, we get:

Speed = 180 miles / 4 hours

Simplifying this expression, we get:

Speed = 45 miles/hour

Hence, Oscar travels at a speed of 45 miles/hour

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Answer:

A. Your friend did not factor the variable from the second term.

Step-by-step explanation:

15x - 20xy

Your friend was correct in factoring out 5x. However, when you factor out a component from an expression, you have to change each component in the expression.

This means that factoring out 5x will result in: 5x(3 - 4y).

Therefore, your answer is:

A. Your friend did not factor the variable from the second term.

Hope this helps!

The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

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Answer:

3/7 =12/n

3n=7×12

3n=84

n=84÷3

n=28

3/7= t/21

3×21=7t

63=7t

t=63÷7

t=9

3/7 =k-1/2k+10

3(2k+10)=7(k-1)

6k+30=7k-7

k=37

Step-by-step explanation:

The tolerance interval that included 99% of the cadence values with a 95% confidence is equal to (0.634,1.218).

A tolerance interval is constructed using the following formula:

TI= overline x plus/minus t * o l k,n (s)

Let, k = 0.99 and n = 20

to l 0.99,20 =3.615

The following calculations are done to compute the tolerance interval:

TI= overline x plus/minus t * o l k,n (s)

= 0.9255 plus/minus 3.615 * (0.0809)

approx (0.634, 1.218)

In summary, with a 95% level of confidence, 99% of the cadence values fall within the tolerance interval of (0.634, 1.218).

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the probability that the first toss is heads given that there are k heads in total after n tosses is simply k divided by n.

To calculate the probability that the first toss is heads given that there are k heads in total after n tosses, we can use conditional probability.

Let's denote the event "first toss is heads" as H and the event "k heads in n tosses" as K.

The probability of the first toss being heads given that there are k heads in total is denoted as P(H|K).

By definition, the conditional probability is calculated as:

P(H|K) = P(H ∩ K) / P(K),

where P(H ∩ K) represents the probability of both events H and K occurring together, and P(K) represents the probability of event K occurring.

Now let's break down the calculation:

P(H ∩ K) = P(H) * P(K|H),

where P(H) is the probability of the first toss being heads, and P(K|H) is the probability of getting k-1 heads in the remaining n-1 tosses given that the first toss is heads.

P(H) = 1/2, since a fair coin has an equal probability of landing heads or tails.

P(K|H) = (n-1 choose k-1) * (1/2)^(k-1) * (1/2)^(n-k) = (n-1 choose k-1) * (1/2)^n,

where (n-1 choose k-1) represents the binomial coefficient.

P(K) = (n choose k) * (1/2)^n,

where (n choose k) represents the binomial coefficient.

Now we can substitute these values into the formula for conditional probability:

P(H|K) = (P(H) * P(K|H)) / P(K)

       = [(1/2) * (n-1 choose k-1) * (1/2)^n] / [(n choose k) * (1/2)^n]

       = (n-1 choose k-1) / (n choose k)

       = k / n.

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To find linearly independent solutions of the given third-order differential equation, we can assume a solution of the form y(t) = e^(rt), where r is a constant.

Substituting this into the differential equation, we obtain the characteristic equation:

r^3 + 3r^2 - 29r - 55 = 0

By solving this cubic equation, we can find the values of r that will give us the linearly independent solutions.

Using various methods such as factoring, synthetic division, or numerical approximation, we can find that the roots of the characteristic equation are r = -5, -1, and 11.

To obtain the corresponding linearly independent solutions, we can plug these roots back into the assumed form y(t) = e^(rt). Thus, we have three linearly independent solutions:

y1(t) = e^(-5t)

y2(t) = e^(-t)

y3(t) = e^(11t)

These three solutions form a basis for the solution space of the given differential equation. The general solution can be expressed as a linear combination of these solutions, with arbitrary constants c1, c2, and c3:

y(t) = c1e^(-5t) + c2e^(-t) + c3e^(11t)

This general solution represents all possible solutions to the third-order differential equation, with different choices of the constants providing specific solutions. The linear independence of the solutions ensures that any linear combination of them will not result in redundant or equivalent solutions.

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Answer: 123.30 miles

Step-by-step explanation:

Key: 1.25 in = 4.5 miles

14.5+19.75=34.25

34.25 divided by 1.25 = 27.40

27.40 x 4.5 = 123.30 miles <3