Which fractions are equivalent to 4/6? Select all that apply.

Answer:

149 1/2

Step-by-step explanation:

we put this as an expression

(9/10)(180) - (12 1/2)

then we multiply 9/10 by 180 to get 162

162 - 12 1/2 = 149 1/2

Upper

daysThe(a) The time for an individual to recover from an infectious disease, is estimated to be between 4.02 and 5.98 days. (d) The structured SIR model assumes homogeneous mixing, constant population, recovered immunity.

(a) To calculate the time for an individual to recover with a 95% confidence level, we can use the properties of the normal distribution. The 95% confidence interval corresponds to approximately 1.96 standard deviations from the mean in both directions.

Given:

Mean (μ) = 5 days

Standard deviation (σ) = 0.5 days

The confidence interval can be calculated as follows:

Lower limit = Mean - (1.96 * Standard deviation)

Upper limit = Mean + (1.96 * Standard deviation)

Lower limit = 5 - (1.96 * 0.5)

= 5 - 0.98

= 4.02 days

Upper limit = 5 + (1.96 * 0.5)

= 5 + 0.98

= 5.98 days

Therefore, the time for an individual to recover from the infectious disease with a 95% confidence level is between approximately 4.02 and 5.98 days.

(b) To simulate the epidemic using the SIR model, we need additional information about the transmission rate and the duration of infectivity.

(c) Without the transmission rate and duration of infectivity, we cannot determine the fraction of the total population that will have come down with the infectious disease once the epidemic is over.

(d) The structured model in this case is the SIR (Susceptible-Infectious-Recovered) model, which is commonly used to study the dynamics of infectious diseases. The major assumptions associated with the SIR model include:

Homogeneous mixing: The model assumes that individuals in the population mix randomly, and each individual has an equal probability of coming into contact with any other individual.

Constant population: The model assumes a constant population size, without accounting for birth, death, or migration rates.

Recovered individuals develop immunity: The model assumes that individuals who recover from the infectious disease gain permanent immunity and cannot be reinfected.

No vaccination or intervention: The basic SIR model does not incorporate vaccination or other intervention measures.

These assumptions simplify the model and allow for mathematical analysis of disease spread dynamics. However, they may not fully capture the complexities of real-world scenarios, and more sophisticated models can be developed to address specific contexts and factors.

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Answer:

In 3 min = 4 1/2

10 min = 15

If you multiply both of the snakes speed by the specific amount of minutes and then subtract both of the sums you'll get the answer :)

A subclass refers to a class that can inherit properties of another class called a superclass. The subclass will have all the characteristics and behavior of the superclass, and it can be modified to meet the unique needs of a specific class. Therefore, if a program uses two classes, airplane, and jumbojet, then the most likely subclass is the jumbojet.

Suppose that the airplane is the superclass that will have all the characteristics and behavior of an airplane. On the other hand, the jumbojet will be the subclass that inherits the features of an airplane. As the subclass, the jumbojet can be modified to have additional features unique to it.

The inheritance concept in programming ensures that there is efficient use of code. It makes it easy to reuse code for creating new classes. When using inheritance, developers avoid copying and pasting code, which can lead to errors and repetition.

Suppose that the airplane and jumbojet are classes representing vehicles in a flight system.

Airplane is the superclass representing all the aircraft, while jumbojet is the subclass representing a specific type of airplane, which is a large passenger aircraft. Therefore, the jumbojet, being a specific type of airplane, is the most likely subclass.

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Answer:

7y = -4 x + 8

y = -(4/7) x + /7

so m = -4/7

y = -(4/7)x + b

-2 = -(4/7)(4) + b

-14/7 + 16/7 = b

b = 2/7

so

y = -(4/7)x + 2/7

7y = -4x + 2

for the second one

m = -(-7/4) = 7/4

so

y = (7/4) x + b

now put x = 4 and y = 2 in again to find b

Step-by-step explanation:

Answer:

ABC by the SSS postulate

ASA  rule shows 1 side is congruent and 2 angles congruent

SAS rule shows 2 sides are congruent and 1 angle congruent

SSS rule shows 3 sides are congruent as angles already proven ASA and SAS

the cylinder-shaped aquarium can hold approximately 2.78 fish.by  calculating  the volume of the original aquarium. Since it is a rectangular prism we can solve this .

what is approximately  ?

Approximately means close to, but not exactly equal to, a certain value. It is often used when giving an estimate or an approximation of a value, especially when the exact value is not known or is difficult to calculate

In the given question,

First, we need to calculate the volume of the original aquarium. Since it is a rectangular prism, we use the formula V = lwh, where l is length, w is width, and h is height:

V = 6.7 ft * 6.8 ft * 4 ft = 183.424 cubic feet

Next, we can use the formula for the volume of a cylinder, V = πr²h, where r is the radius and h is the height. We know the height is 4 ft, and the diameter is 3.2 ft, so the radius is half of that, or 1.6 ft:

V = π(1.6 ft)² * 4 ft = 32.0768 cubic feet

To find out how many fish the cylinder can hold, we can set up a proportion using the population density of the original aquarium (16 fish / 183.424 cubic feet) and the volume of the cylinder we just calculated:

16 fish / 183.424 cubic feet = x fish / 32.0768 cubic feet

Cross-multiplying and solving for x, we get:

x = (16 fish / 183.424 cubic feet) * 32.0768 cubic feet

x ≈ 2.78 fish

Therefore, the cylinder-shaped aquarium can hold approximately 2.78 fish.

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The height of the trapezoid is 65.5 centimeters.

What is trapezoid ?

A trapezoid, also known as a trapezium in some countries, is a quadrilateral with at least one pair of parallel sides. The parallel sides are called the bases of the trapezoid, and the non-parallel sides are called the legs.

The area of a trapezoid is given by the formula:

Area = (1/2) × (sum of bases) × height

Let h be the height of the trapezoid. We are given that the longer base is 131 cm and the shorter base is 85 cm. We are also given that the area is 7,074 square centimeters. Plugging in these values, we get:

7,074 = (1/2) × (131 + 85) × h

Simplifying, we get:

7,074 = (1/2) × 216 × h

Multiplying both sides by 2, we get:

14,148 = 216h

Dividing both sides by 216, we get:

h = 65.5

Therefore, the height of the trapezoid is 65.5 centimeters.

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The height of the trapezoid will be: 6 cm.

According to this question, the area of the isosceles trapezoid is 54 sq cm

The perimeter = 32 cm

The height of the leg is 7 cm

Perimeter = 2l + b1 + b2

32 = 2 × 7 + (b1 + b2)

32 = 14 + (b1 + b2)

32 - 14 = b1 + b2

18 = b1 + b2

Now the height of the trapezoid will be found with the formula:

Height of the trapezoid =

54 = 1/2 × h (18)

54 = h(18/2)

54 = h × 9

To find h, we divide both sides by 9

h = 54/9

= 6 cm

So, the height of the trapezoid is 6 cm.

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The height of the prism is approximately 13.69 feet.

We have,

The volume of a rectangular prism is given by the formula V = lwh,

where l, w, and h are the length, width, and height of the prism, respectively.

We are given that the base of the prism has dimensions 9 feet by 5.2 feet, so we can substitute l = 9 and w = 5.2 into the formula to get:

655.2 = (9)(5.2)(h)

Simplifying this equation gives:

655.2 = 47.88h

Dividing both sides by 47.88 gives:

h = 655.2/47.88 ≈ 13.69

Therefore,

The height of the prism is approximately 13.69 feet.

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Rate of the jet in still Air is 716 miles per hour and

wind speed is 80 miles/hour.

The velocity of an item in relation to another observer is known as its relative velocity. It is the pace at which one item's relative location changes in relation to another object over time. When two bodies are travelling in opposing directions, their relative velocity is at its highest. They are approaching one another.

Let ‘X’ be speed of jet and

'Y’ be speed of Wind

Relative velocity when jet travels against wind: X - Y = ( 2544 / 4 ) = 636 miles/hour

Relative velocity when jet travels with wind is: X + Y = ( 3184 / 4 ) = 796 miles/hour

By adding these two equations we will get

2 X = 1432 or X = 716 miles /hour and

or, Y = 796 - 716 = 80 miles/hour

Hence,

Rate of the Jet in still Air is 716 miles per hour and

Wind speed is 80 miles/hour.

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Answer:

1

Step-by-step explanation:

bc i took the test

i dont x what the meaning that

Answer:

160 inches

Step-by-step explanation:

An octagon has 8 sides;

20*8=160

a) The ordered pair is a solution

b) The ordered pair is a solution

c) The ordered pair is a solution

d) The ordered pair is a solution

e) The ordered pair is a solution

f) The ordered pair is a solution

To determine whether an ordered pair is a solution of an equation, you need to substitute the values of the ordered pair into the equation and check if the equation is true or false.

a) Substitute (2, -1) into one of the equations;

3(2) + 2(-1) = 6 -2 = 4

b) 1 + 4 = 5

c) 4(5) - 5(4)

= 20 - 20 = 0

d) 3(0) - 2(2) = -4

e) y - 3x = -5

-2 - 3(1)

-2 - 3 = -5

f) 10 - 20 = -10

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The lower bound of the 97% confidence interval for the difference in proportions is 0.0220.

In the UCSB campus will be determined in this question. Confidence interval refers to a range of values that is likely to include the true population value.

For example, in the current scenario, we are trying to find the difference in the proportion of seniors and freshmen who use bikes regularly.

A 97% confidence interval means that the true population parameter is likely to fall between the two limits 97% of the time. This interval is based on the sample data obtained from the poll conducted by UCSB administration.

Let us begin with the calculations. Let p_1 = proportion of seniors who use bikes regularly = 85/205 = 0.4146

Let p_2 = proportion of freshmen who use bikes regularly = 92/310 = 0.2968

We need to calculate the difference in proportions and the standard error. The formula for the standard error is:

SE =\(\sqrt{(p_1q_1/n_1) + (p_2q_2/n_2)}\) where q_1 = 1-p_1, q_2 = 1-p_2

n_1 = sample size of seniors = 205

n_2 = sample size of freshmen = 310

SE = \(\sqrt{((0.4146)(1-0.4146)/205) + ((0.2968)(1-0.2968)/310)}\) = 0.0442 (rounded to 4 decimal places)

The difference in proportions is: p_1 - p_2 = 0.4146 - 0.2968 = 0.1178

The margin of error for a 97% confidence interval is:

z*SE where z* is the z-score that corresponds to a 97% confidence level. The z-score can be found using a standard normal distribution table or calculator. (Check the attachment)

For a 97% confidence level, the z-score is 2.17 (rounded to 2 decimal places). Therefore, the margin of error is:

z*SE = 2.17(0.0442) = 0.0958 (rounded to 4 decimal places)

Finally, the lower bound of the 97% confidence interval for the difference in proportions is:

(p_1 - p_2) - (z*SE) = 0.1178 - 0.0958 = 0.0220 (rounded to 4 decimal places)

Therefore, the difference in proportions, the lower bound of the 97% confidence interval is 0.0220.

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Answer:

$613.45

Step-by-step explanation:

Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45

Area of a triangle = 1/2 (base x height) Here, we are given the height of the triangle as 10 m; hence, we can use the above formula to determine the base of the triangle.

Area of a triangle = 1/2 (b x 10) Given that we want the base of the triangle, we can rearrange the above equation to obtain the following:

b = (2 x Area of a triangle)/10

Since we do not have the value of the area of the triangle, we will use the Pythagorean theorem to find the third side, which will assist us in determining the area of the triangle.

Pythagorean Theorem states that:

Hence, we can use this theorem to calculate the third side of the triangle. The triangle's hypotenuse is equal to 10m, which is the given height of the triangle.

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The values of the sides are;

41. x = 18√3. Option D

42. x = 6√3. Option A

Using the different trigonometric identities, we have;

41. Using the tangent identity, we have;

tan 60 = 9√2/y

cross multiply the values

y =9√2 ×√3

y = 9√6

Using the sine identity;

sin 45 = y/x

1/√2 = 9√6/x

cross multiply the values, we have;

x = 9√2 ×√3 ×√2

x = 18√3

42. Using the cosine identity

cos 60 = 3√3 /x

cross multiply, we have;

x = 6√3

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Answer: They will mark it up 13.5$ to 58.5$

Step-by-step explanation:

45 x .3 = 13.5

45 + 13.5 = 58.5

Answer:

The mark up will be 13.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

mid point=((7-1)/2,(-1+5)/2)=(3,2)

Answer:

(3,2)

Step-by-step explanation:

The formula for midpoint is

(x1+x2/2, y1+y2/2)

Now, let's plug the numbers in.

(7-1/2, -1+5/2)

Now just simplify!

(3,2)

Answer:

144

Step-by-step explanation:

bc 6 tennis courts x 24 equals 144 sorry if it's wrong

Answer:

A

Step-by-step explanation:

Find the distance of adjecent and opposite by forming new triangle that has (x1 and y1); (x2 and y2) distance... Using Pythagorean theorem, you can get the distance which is sqrt(x1²+y1²) and sqrt(x2²+y2²)

So you can use 1/2×base×height formula..

1/2×sqrt(x1²+y1²)×sqrt(x2²+y2²)

Simplify and you got A.

Question 3: True

Question 4: False

Question 5: True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c.

This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

Question 3: If f'(c) < 0 then f(x) is decreasing and the graph of f(x) is concave down when x = c.

True

When the derivative of a function, f'(x), is negative at a point c, it indicates that the function is decreasing at that point. Additionally, if the second derivative, f''(x), exists and is negative at x = c, it implies that the graph of f(x) is concave down at that point.

Question 4: A local extreme point of a polynomial function f(x) can only occur when f'(x) = 0.

False

A local extreme point of a polynomial function can occur when f'(x) = 0, but it is not the only condition. A local extreme point can also occur when f'(x) does not exist (such as at a sharp corner or cusp) or when f'(x) is undefined. Therefore, f'(x) being equal to zero is not the sole requirement for a local extreme point to exist.

Question 5: If f'(x) > 0 when x < c and f'(x) < 0 when x > c, then f(x) has a maximum value when x = c.

True

If the derivative of a function, f'(x), is positive for values of x less than c and negative for values of x greater than c, then it indicates a change in the slope of the function. This change from positive slope to negative slope suggests that the function has a maximum value at x = c. This is because the function is increasing before x = c and decreasing after x = c, indicating a peak or maximum at x = c.

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The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.

The profit function is given as:

Profit = Revenue - Cost

Cost = 2000x + 750000, Revenue = -0.09x² + 700x, hence:

Profit = -0.09x² + 700x - (2000x + 750000) = -0.09x² -1300x - 750000

The profit function made by the cell phone manufacturer is given by -0.09x² -1300x - 750000

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Answer:

Option (C): The Rome data center is best described by the mean. The New York data center is best described by the median.

Step-by-step explanation:

1. Rome

Minimum=0

Maximum=16

Median ,

Mean = 8

Standard Deviation(σ)=5.4

As, difference between , Maximum -Mean =Mean - Minimum=8

So, Mean will Worthy description to find the center of Data set, given about Rome.

2. New York

Minimum=1

Maximum=20

Median , Q2 = 5.5

Mean = 7.25

Standard Deviation(σ)=6.1

As, for New york , Mean is not the mid value, that is difference between Mean and Minimum is not same as Maximum and Mean.

As, you can see , the three Quartiles ,  are very close to each other, it means , other data values are quite apart from each other. So, Mean will not  appropriately describe the given data.So, in this case Median will suitable to find the center.