The population of a certain bacteria is known to double every 10 hours. Assuming exponential growth, determine the time that it would take for the bacteria to triple in number

Based on the given probability events, we can calculate that Events A and B are independent, because P(B) = P(B|A) = 1/2.

Events are independent if P(B) = P(B|A)

The probability of event B is:

= 3 odd numbers / 6 numbers

= 1 / 2

The probability of A is:

= 3 prime numers / 6

= 1/2

P(B|A) = ((1 / 2) x (1 / 2)) / (1 / 2)

= 1/2

So P(B) = P(B|A) = 1/2.

The events are independent.

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Answer:

that's the lowest term actually

Answer:

84.5

edit:

incorrect its 43.5 sorry

Step-by-step explanation:

The Percent uncertainty and significant figure relationship is such that increasing the number of significant figures leads to a decrease in percent uncertainty.

Understand the concept of significant figures

Significant figures represent the digits in a number that contribute to its precision. They are determined based on the certainty of the measurement and indicate the number of reliable digits.

Recognize the relationship

The general relationship between percent uncertainty and the number of significant figures is that as the number of significant figures increases, the percent uncertainty decreases.

Understand the reasoning

When we have more significant figures in a measurement, it implies greater precision. This higher precision reduces the relative error or variability in the measurement, leading to a smaller percent uncertainty.

For Example to illustrate the relationship

Suppose we have two measurements:

Measurement A: 10.0 cm (three significant figures)

Measurement B: 10.000 cm (five significant figures)

Both measurements have the same nominal value, but Measurement B has more significant figures, indicating higher precision. Consequently, the percent uncertainty associated with Measurement B would be smaller than that of Measurement A because the greater precision reduces the relative error.

Experimental evidence

In experiments, researchers often try to increase the number of significant figures to improve precision and reduce uncertainty. By taking more accurate and precise measurements, they can minimize errors and achieve a smaller percent uncertainty.

In summary, the relationship between percent uncertainty and the number of significant figures is such that increasing the number of significant figures leads to a decrease in percent uncertainty. This is because more significant figures indicate higher precision, resulting in reduced relative error and less uncertainty in the measurement.

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Answer:

10 units

Step-by-step explanation:

Just trust me

Answer:

three

Step-by-step explanation:

The property that justifies the following statement, if 7(x-3)=35 then 35=7(x-3) is the symmetric property.

Symmetric property is one of the properties of equality which states that if there is an equality sign (=) between two values or numbers, then the two values will always remain equal even if you change the sides of the values. Therefore if ab = cd, then cd = ab

Hence, according to this property, the left side of the equation can be transferred to the right side and the right side of the equation can be transferred to the left side as the order of the equation can be ignored.

The symmetric property also justifies that if the values on the two sides are not equal, then they will remain unequal even if the sides are changed. That is if ab ≠ cd, then cd ≠ ab.

So, according to the symmetric property, the statement, if 7(x-3)=35 then 35=7(x-3) is valid.

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The profit in 1973 is 5.56 which is estimated by the given linear model.

The regression equation is used to predict or estimate the value of the response (or dependant) variables based on an understanding of the explanatory (or predictor) variables.

Let Y represent the profit (or loss) for a certain company X years after 1970. Based on the data shown, a statistician calculates a linear model

Y = -0.80X + 7.96 ....(i)

Using the above model to estimate the profit in 1973

Substitute the value of X = 3 in the equation (i),

Y = -0.80(3) + 7.96

Y = -2.4 + 7.96

Y = 5.56

This is the profit in 1973.

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Attitude, beliefs, and knowledge shape a teacher's delivery: attitude affects engagement, beliefs influence instructional decisions, and knowledge enables effective communication and learning facilitation.

Attitude, beliefs, and knowledge play crucial roles in shaping how a teacher delivers a lesson. Here's a detailed explanation of their impacts:

Attitude:

Attitude refers to a teacher's mindset, emotions, and approach towards teaching. A positive attitude fosters enthusiasm, motivation, and a genuine passion for the subject matter. This translates into an engaging and dynamic teaching style, creating an environment conducive to learning. Conversely, a negative attitude can lead to disinterest, lack of enthusiasm, and a disengaged teaching approach, which can hinder students' engagement and comprehension.

Beliefs:

A teacher's beliefs influence their instructional decisions and pedagogical strategies. Beliefs about students' capabilities, learning styles, and the purpose of education can shape the teacher's approach to delivering a lesson. For example, if a teacher believes that all students have the potential to succeed, they may employ differentiated instruction techniques to cater to diverse learning needs. Conversely, if a teacher holds limiting beliefs about students' abilities, they may adopt a one-size-fits-all approach, which may hinder student progress.

Knowledge:

A teacher's knowledge encompasses both subject matter expertise and pedagogical content knowledge. Profound knowledge of the subject allows a teacher to effectively structure and present the lesson, answer student queries, and provide relevant examples. Pedagogical content knowledge helps in selecting appropriate instructional strategies, adapting to student needs, and assessing learning effectively. Without a strong knowledge base, a teacher may struggle to deliver accurate information, engage students, or address misconceptions.

Collectively, attitude, beliefs, and knowledge significantly impact a teacher's delivery of a lesson. A positive attitude enhances student motivation and engagement. Strong beliefs in students' potential and individualized instruction foster a supportive learning environment. Adequate subject knowledge and pedagogical skills enable effective communication and facilitate meaningful learning experiences. By combining these elements, teachers can create an impactful and effective learning environment that nurtures student growth and achievement.

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Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

Answer:

The correct answer is B. 20,000

Step-by-step explanation:

To determine the man's total monthly salary, we can set up a simple equation using the given information. Let's denote the total monthly salary as "x."

According to the information provided, 33% of the man's monthly salary is equal to Birr 6600. We can express this relationship mathematically as:

0.33x = 6600

To solve for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.33:

x = 6600 / 0.33

Evaluating the right side of the equation gives:

x ≈ 20,000

Therefore, the man's total monthly salary is approximately Birr 20,000.

Hence, the correct answer is B. 20,000.

Answer:

he bought 3 gallons of water

Answer:

3.4 gal

Step-by-step explanation:

12-3.50=8.50

8.50/2.50=3.40

Answer:

\(-\frac{17}{2}\)

Step-by-step explanation:

Substitute the point (21,-4) in for \(x\) and \(y\) in the equation making

\(3(21)+B(-4)=97\)

Simplify and solve

\(63-4B=97\)

\(-4B=34\)

\(B=-\frac{17}{2}\)

The differential equation by variation of parameters, subject to the initial conditions y(0) can be found by homogeneous equation and by integrating it.

The solution to the differential equation by variation of parameters, subject to the initial conditions y(0), can be found by following these steps:
1. Separate the equation into homogeneous and particular parts.
2. Solve the homogeneous equation for its particular solution.
3. Construct a new auxiliary equation from the particular solution, integrating the particular solution with respect to the parameters.
4. Solve the auxiliary equation, again with respect to the parameters, and then integrate the result with respect to x.
5. Substitute the particular solution and the new parameters back into the original equation to solve it completely.
6. Substitute the initial condition y(0) to solve for the constants of integration.

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Check the picture below.

well, ∡CED is the same as ∡CEA and those are right-angles so those are pretty much given, now

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{29}\\ a=\stackrel{adjacent}{20}\\ o=\stackrel{opposite}{CE} \end{cases} \\\\\\ CE=\sqrt{ 29^2 - 20^2}\implies CE=\sqrt{ 841 - 400 } \implies CE=\sqrt{ 441 }\implies \boxed{CE=21} \\\\\\ \stackrel{\textit{since we know the radius CB=29}}{CB-CE = EB\implies }\boxed{EB=8}\)

Answer:

angle CED 90°. CE = 21. EB = 8.

Step-by-step explanation:

angle CED = 90° (right angle).

the radius (centre to edge) is the same right around the circle.

so that means that distance CD = 29.

draw a line from C to D. notice how that has just become an hypotenuse?

we know that DE = 20.

we have a right-angled triangle.

CE² = hypot² - DE²

       = 29² - 20²

       = 841 - 400

       = 441

CE = √441 = 21.

EB must be radius subtract CE. that is, 29 - 21 = 8.

From the linear function, at 50 degrees, the seller will sell 58 hot dogs, at 114 degrees, she will sell 35 hot dogs and from the line of best fit she will sell 3 hot dogs at every 10 degrees rise in temperature

When plotted, a linear function is a sort of mathematical function that visually displays a straight line. A formula of the form y = mx + c, where m is the line's slope and c is its y-intercept, is used to describe it.

The linear function given is;

y = (3/10)x + 8

Where;

a) At 50 degrees, the number of hot dogs

Substituting the values into linear function;

y = 3/10(50) + 8

y = 150 / 3 + 8

y = 50 + 8

y = 58

The seller will sell 58 hot dogs at 50 degree

b) The temperature at which they will sell 35 hot dogs is;

y = (3/10)x + 8

35 = 3/10(x) + 8

35 * 10 = 3x + 8

350 = 3x + 8

3x = 350 - 8

3x = 342

x = 342 / 3

x = 114

The temperature at which they'll sell 35  hot dogs is 114 degrees

c) Based on the line of best-fit, for every 10 degree rise in temperature, she will sell 3 hot dogs.

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Answer:

9/7

Step-by-step explanation:

you do 81/x=63 and that is 81=63x and x is 81/63 and that simplifies to 9/7

the minimum coating thickness that will minimize the reflection at a wavelength of 702 nm is approximately 85.85 nm. It seems there might be a discrepancy with the provided answer of 121 nm.

To minimize reflection at a specific wavelength, we can use the concept of quarter-wavelength optical coatings. The formula for the thickness of a quarter-wavelength coating is:

t = (λ / 4) / (n - 1)

Where:

t is the thickness of the coating

λ is the wavelength of light in the medium

n is the refractive index of the coating material

Given:

Wavelength (λ) = 702 nm

Refractive index of silicon (n1) = 3.50

Refractive index of silicon dioxide (n2) = 1.45

To minimize reflection, we need to find the thickness of the silicon dioxide coating that will act as a quarter-wavelength coating for the given wavelength in silicon.

t = (702 nm / 4) / (3.50 - 1.45)

t = 175.5 nm / 2.05

t ≈ 85.85 nm

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Answer:[-2,6]

Step-by-step explanation:

sin(x)--->[-1,1]

4*[-1,1]=[-4,4]

2+[-4,4]=[-2,6]

Answer:

-5

Step-by-step explanation:

É o mesmo que dividir dois números positivos. Você apenas tem que lembrar que dois negativos fazem um positivo.

The half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

The half-life of a radioactive is time for 50% of its particles to decay or disintegrate into a new element. The pace at which a radioactive material will decay is predicted using this indicator of an isotope's stability. An element's half-life, which differs substantially across various elements, is based on the unique characteristics of its nucleus.

For instance, the half-life of uranium-238 is 4.5 billion years whereas that of carbon-14 is 5,730 years. This indicates that half of the carbon-14 atoms in a sample will have decayed after 5,730 years, and half of the uranium-238 atoms will have decayed after 4.5 billion years.

How to solve?

(a) After 3 days, the sample has decayed to 58% of its original amount, which means that half of the original amount has already decayed. Therefore, the half-life of radon-222 is 3 days.

(b) Since the half-life of radon-222 is 3 days, it will take an additional 3 days for the remaining 42% of the sample to decay, for a total of 6 days for the sample to decay completely.

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Answer:

17

Step-by-step explanation:

22 is a multiple of 11 and 22-5 is 17

Answer:

72 degrees 72° Celsius. It changed by 72 degrees.

Step-by-step explanation:

6 * 12 because it changed 6 degrees each hour for 12 hours

6 *

12

—-

72

Answer:

72 degree Celsius

Step-by-step explanation:

Since every hour the temperature is cooled by 6⁰C and the total time spent was 12 hour we can do a simple multiplication shown:

6 * 12 = 72

After the arrival of 5 marriages, the total women will be 9.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is that at a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6%

Assume that the initial number of men are [x]. Then, the number of women will be y = 4x.

After the arrival of 5 marriages -

y + 5 = 4x + 5

and

x = 6% of y

x = (6/100) x y

x = (3/50)y

So, we can write -

y + 5 = (12/50) + 5

y = 12/50

So -

x = (12/50) x (50/3)

x = 4

After the arrival of 5 marriages, the total women will be -

x + 5 = 9

Therefore, after the arrival of 5 marriages, the total women will be 9.

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{Question in english language is -

At a party the number of women was 4 times the number of men after the arrival of 5 marriages the percentage of men at the party became due 6% what is the number of women after the arrival of 5 marriages}

a) The probability of 26 to 28 users within a 15 minute interval is 0.0436.

b) The standard deviation of the number of users in 20 minutes is 1.453

a) To find the probability of having 26 to 28 users within a 15-minute interval, we first need to calculate the mean number of users in a 15-minute interval. Since the mean number of users in a 10-minute interval is 5, the mean number of users in a 15-minute interval is (5/10) x 15 = 7.5.

Now, we can use the Poisson distribution formula to find the probability of having 26 to 28 users within a 15-minute interval:

P(26 ≤ X ≤ 28) = Σ [(\(e^{-\lambda}\) x λˣ) / x!], where λ = 7.5 and x ranges from 26 to 28.

Using this formula, we can find the probability of having 26 to 28 users within a 15-minute interval is 0.0436

b) To find the standard deviation of the number of users in 20 minutes, we first need to calculate the mean number of users in a 20-minute interval. Since the mean number of users in a 10-minute interval is 5, the mean number of users in a 20-minute interval is (5/10) x 20 = 10.

The formula for the standard deviation of a Poisson distribution is:

σ = √(λ)

where σ is the standard deviation and λ is the mean.

Using this formula, we can find the standard deviation of the number of users in 20 minutes is 1.453

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If a distribution of scores is shown in a bar graph, it suggests that the scores were measured on an ordinal scale of measurement.

An ordinal scale is a type of measurement scale that categorizes and orders variables or data points based on their relative ranking or position. In this case, the bar graph represents the frequencies or counts of different categories or ranges of scores, indicating an ordered arrangement of the data. However, the bar graph alone does not provide information about the exact numerical differences between the scores or their precise magnitudes.

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Answer:

30%

Step-by-step explanation:

Selma spent 3/10 of her allowance on a new backpack.

Hence, the percent of her allowance that she spent is calculated as:

Fraction of allowance spent on Backpack × 100

= 3/10 × 100

= 0.3/1 × 100

= 30%

Therefore, Selma spent 30% of her allowance on a new backpack.