A cohort study is conducted to determine whether smoking is associated with an increased risk of bronchitis in adults over the age of 40. The findings are as follows:
-The frequency of bronchitis in the smokers is 27 per 1,000 person-years.
-The frequency of bronchitis in the non-smokers is 3 per 1,000 person-years.
What is the relative risk?
0.1111
0.999
9
0.0333
11 per 1,000

The given function is

The expression f(-16) means we have to evaluate the function when x = -16.

Answer: 45% or 9/20

Step-by-step explanation:

50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.

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Based on the information, we can determine convergence or divergence of series.The given options do not provide a clear representation of potential outcomes.It is not possible to select correct option.

The given series is "nvž enn |||-) En=12 100 1-) Σπίο 3* 2"-1 ||-) En=2 n". In the series, we have the characters "nvž enn |||-)" which indicate the series notation. The characters "En=12 100 1-" suggest that there is a summation of terms starting from n = 12, with 100 as the first term and a common difference of 1. The characters "Σπίο 3* 2"-1 ||-) En=2 n" indicate another summation, starting from n = 2, with a pattern involving the operation of multiplying the previous term by 3 and subtracting 1.

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A sample size of 1691 (rounded up to the nearest integer) is needed o estimate the percentage of adults who can wiggle their ears, and a  a sample size of 1234 (rounded up to the nearest integer) is needed assuming that 24% of adults can wiggle their ears.

To determine the sample size needed to estimate the percentage of adults who can wiggle their ears, we can use the formula:

n = (Z/2  p  q) / E/2

where:

- n is the sample size

- Z is the z-score corresponding to the desired confidence level

- p is the estimated proportion (if unknown, we use 0.5 for maximum variability)

- q is 1 - p

- E is the margin of error

a. Assuming p hat (p) and q hat (q) are unknown, we can use p = q = 0.5 for maximum variability. The margin of error is 3 percentage points, which can be expressed as 0.03.

Using a confidence level of 95%, the corresponding z-score is approximately 1.96.

Plugging the values into the formula:

n = (1.96/2 0.5  0.5) / (0.03/2)

n ≈ 1691

Therefore, a sample size of 1691 (rounded up to the nearest integer) is needed.

b. Assuming that 24% of adults can wiggle their ears, we can use p = 0.24 and q = 0.76. Again, the margin of error is 3 percentage points (0.03).

Using the same formula:

n = (1.96/2  0.24  0.76) / (0.03/2)

n ≈ 1234

Therefore, a sample size of 1234 (rounded up to the nearest integer) is needed.

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Answer:

10.50

Step-by-step explanation:

Answer:

C and D on E2020

Step-by-step explanation:

Answer:

The area of an equilateral triangle is (√3/4) x (9 3 cm)².

Answer:

200.96

Step-by-step explanation:

Volume of cone=(1/3)*pi*r^2*h

Volume=(1/3)*pi*16*12=64*3.14=200.96

Therefore , the distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J

It can push or pull. Acceleration is caused by unbalanced forces.

The Newton is the symbol for a force (abbreviation is N).The force required to cause a mass of one kilogramme to alter its velocity by one metre per second (m/s) per second is one Newton. The formula is: 1 N = 1 kg m/s2 (kilogram metre per second squared)

Here,

Let s represent the block's total distance travelled.

As a result, the block's work will be equal to the potential energy contained in the spring.

It is given as,

(mgsinθ)×s= 1/2 k\(x^{2}\)

( √2​ ×10×sin45 ∘ )×s= 1/2​ ×100 x (0.75*0.75)

s=281 . 25m

Thus, the distance travelled by the block is 281 . 25m.

For energy :

=> 1/2 m v^2

=>  1/2 * 2* (3.75)^2

=> 14.0625  J

Therefore , the distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J

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The distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J

When an object is moved over a distance by an external force, at least a portion of that force must be applied in the direction of the displacement. This is known as work in physics.

The ability to exert a force that causes an item to move is what is meant by the definition of energy as the "power to accomplish work."

Let s= total distance travelled by block.

Therefore, the block's work will be equal to the spring's potential energy.

According to given information,

(mgsinθ)×s= 1/2 k

( √2​ ×10×sin45  )×s= 1/2​ ×100 x (0.75*0.75)

s=281 .25m

Therefore, the distance travelled by the block is 281 . 25m.

For energy we have:

=> E= 1/2 m v^2

=>  E= 1/2 * 2* (3.75)^2

=>E= 14.0625  J

So , the distance travelled by the 2kg block is 281.25m  and the energy of the block earth is  14.0625 J.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

16

Step-by-step explanation:

Because of the rule of PE(MD)(AS) the following would be executed like this

8 / 2 (2 + 2)

8 / 2 x 4

4 x 4

16

Therefore, the answer would be 16.

EDIT: This answer was previously incorrect but has been fixed. Calculator confirmed as well. Thank you User emmab2457 in the comments for bringing this to my attention.

The reason the answer is not 1 is because in the term PE(MD)(AS) the Multiply/Divide construct as well as the Addition/Subtraction can be switched, and once reaching this step the equation is solved from Left to Right, no matter if division is before multiplying.

There are 6 terms in the sequence greater than 1.

A geometric series is  sum of infinite numbers which has a common ratio between its successive terms.

The missing common ratio value is -1/2

It is given in the question that

the number of terms in the sequence = 300

Sum = a₁ (1-rⁿ)/(1-r)

nth term is given by

aₙ = a₁r⁽ⁿ⁻ ¹⁾

1337(1/2)^(n - 1) = 1

(1/2)^(n - 1)  = 1/1337

Applying log on both sides

log (1/2)^(n - 1) = log (1/1337)

(n - 1) log(1/2)  = log(1/1337)

n  = log (1/1337)/ log (1/2) + 1 ≈ 11.384

the 11th term  is 1337(-1/2)^(10)  ≈ 1.305

and

And the 12th term is 1337(-1/2)^11  =  -.653

As the even terms are negative , they are less than 1 and , therefore the odd terms from 1 - 11 term will be positive and greater than 1.

Therefore there are 6 terms in the sequence greater than 1.

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Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

Answer:

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

got it right on edge.

Answer:

1. Multiples

2. factors

3.multiples

4.factor

5.factor

Step-by-step explanation:

Answer:

When you flip over the the x-axis, the y-coordinate becomes the additive inverse. I.e. ; if I flipped over the x-axis, a (x,4) would become (x,-4). When you flip over the y-axis the x becomes the additive inverse. (x,4) will become (-x,4)

Step-by-step explanation:

If this helped you, you're welcome. If you have any questions, LMK.

Have a good day, and good luck! ⭐

Answer:

162

Step-by-step explanation:

9 * 18 = 162

Answer:

162

Step-by-step explanation:

Answer: 130 candy bars

Step-by-step explanation:

In total, the amount of money they will need to raise is:

= 450 + 325

= $775

They have 6 weeks to raise this money so the amount they have to raise per week is at least:

= 775/6

= $130

The candy bars cost $1 each. They will therefore have to sell a minimum of 130 candy bars each week to afford the trip.

Answer:

algebraic expression. An expression that contains at least one variable, at least one numbers and at least one operation.

Step-by-step explanation:

Answer:

expressions

Step-by-step explanation:

this is how a definition in a textbook would be written. they just put a blank in

By using the concept of Compound interest, Number of payment periods in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = 12

What is Compound interest?

The interest earned on savings that is calculated using both the initial principal and the interest accrued over time is known as compound interest. It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a sum more quickly than simple interest, which is only calculated on the principal sum. Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

This problem can be solved by using the concept of compound interest

Number of  payment periods are in a 6-year, 8% bond with an effective interest rate of 6%, and paid semiannually = \(6 \times 2 = 12\)

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Answer:

I,R,I,I,R,I,R,R,I,R,I,R,I,I,R,R,I,I,I,I

Step-by-step explanation:

False. If one assumes two or more groups are from separate populations, the different groups are considered unrelated or independent samples for conducting statistical tests.

In statistical analysis, there are two types of samples: related (also known as dependent or paired) and unrelated (also known as independent or unpaired). Related samples are taken from the same population, often involving before-and-after measurements, repeated measures, or matched pairs.

Unrelated samples are taken from separate populations, with no inherent connection between the samples.
When you want to compare two or more groups, the choice of related or unrelated samples will determine the type of statistical test you should use.

For related samples, you can use tests like the paired t-test, Wilcoxon signed-rank test, or repeated measures ANOVA. For unrelated samples, you can use tests like the independent t-test, Mann-Whitney U test, or one-way ANOVA.
In summary, assuming that two or more groups are from separate populations means they are considered unrelated or independent samples, not related samples, for conducting statistical tests.

The choice of related or unrelated samples will guide you in selecting the appropriate statistical test for your analysis.

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The storm rainfall flux is 0.00127 m2/hr, 1.27 kg liquid water/m2hr, 2.8 lb liquid water/m2hr, 1.27 liters liquid water/m2hr, and 0.335 gallons liquid water/m2hr. The amount of liquid water fell on the garden is 80.6 L, 21.3 gallons.

Dimensions of outdoor vegetable garden = 2 m × 2 m

Storm rainfall = 0.8 inches of rain

Time of storm = 1 hr(

a) The rainfall flux is the amount of rainfall per unit area and unit time. It is given as:

Rainfall flux = (Amount of rainfall) / (Area × Time)

Given the area of the garden is 2 m × 2 m, and the time is 1 hr, the rainfall flux is:

Rainfall flux = (0.8 inches of rain) / (2 m × 2 m × 1 hr)

Converting inches to meters, we get:

1 inch = 0.0254 m

Therefore,

Rainfall flux = (0.8 × 0.0254 m) / (2 m × 2 m × 1 hr) = 0.00127 m/hr

Converting the rainfall flux to other units:

In kg/hr:

1 kg of water = 1000 g of water

Density of water = 1000 kg/m3

So, 1 m3 of water = 1000 kg of water

So, 1 m2 of water of depth 1 m = 1000 kg of water

Therefore, 1 m2 of water of depth 1 mm = 1 kg of water

Therefore, the rainfall flux in kg/hr = (0.00127 m/hr) × (1000 kg/m3) = 1.27 kg/m2hr

In lbs/hr:

1 lb of water = 453.592 g of water

So, the rainfall flux in lbs/hr = (0.00127 m/hr) × (1000 kg/m3) × (2.20462 lb/kg) = 2.8 lbs/m2hr

In liters/hr:

1 m3 of water = 1000 L of water

So, 1 m2 of water of depth 1 mm = 1 L of water

Therefore, the rainfall flux in L/hr = (0.00127 m/hr) × (1000 L/m3) = 1.27 L/m2hr

In gallons/hr:

1 gallon = 3.78541 L

So, the rainfall flux in gallons/hr = (0.00127 m/hr) × (1000 L/m3) × (1 gallon/3.78541 L) = 0.335 gallons/m2hr

(b) To calculate the amount of water that fell on the garden, we need to calculate the volume of water.

Volume = Area × Depth.

The area of the garden is 2 m × 2 m.

We need to convert the rainfall amount to meters.

1 inch = 0.0254 m

Therefore, 0.8 inches of rain = 0.8 × 0.0254 m = 0.02032 m

Volume of water = Area × Depth = (2 m × 2 m) × 0.02032 m = 0.0806 m3

Converting the volume to other units:

In liters:

1 m3 of water = 1000 L of water

Therefore, the volume of water in liters = 0.0806 m3 × 1000 L/m3 = 80.6 L

In gallons:

1 gallon = 3.78541 L

Therefore, the volume of water in gallons = 80.6 L / 3.78541 L/gallon = 21.3 gallons.

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In general, to evaluate the function f(x) at a specific value of x, we substitute that value into the expression for f(x) and simplify.

In mathematics, a function is a relation between two sets, where for every element in the first set (called the domain), there is exactly one element in the second set (called the range) that the function maps to. In simpler terms, a function is a rule that assigns each input value from the domain to exactly one output value in the range. Functions are usually represented by a formula or equation that describes the relationship between the input and output values. For example, the function f(x) = 2x + 1 maps every input value of x to an output value that is twice the input value plus 1.

Here,

To evaluate the function f(x) = 4x - 6, we substitute the given values of the independent variable into the expression for f(x) and simplify.

For example:

f(0) = 4(0) - 6 = -6

f(1) = 4(1) - 6 = -2

f(2) = 4(2) - 6 = 2

f(-1) = 4(-1) - 6 = -10

f(3a) = 4(3a) - 6 = 12a - 6

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The inequalities represents the number of students the classroom can

accommodate is Number line C.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have,

A classroom can accommodate less than 24 students.

For less than we use the inequality as '<'.

let the x be the number of students than the condition is

x < 24.

Now, For '<' inequality the arrow should head towards left side of 24 which means for x= 23, 22, 21, .....

Thus, the number line for the situation is C.

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Answer:

(-2, 32, -21)

Step-by-step explanation:

You just multiply B by 3 and then subtract the corresponding parts. For example -2 -(0*3). and then 14-(-6*3)

Answer:

3*sqrt3=sqrt3=3by the power of 1/2

It would be 768 because you just keep multiplying by 2.

Answer:768

Step-by-step explanation:

Multiply by 2

For example:

6 at the start(6 × 2 ) 12 then 12 × 2 and so on

\(\sf \longmapsto \: 4x {}^{2} - 9y {}^{2} \)

\(\sf \longmapsto(2x+3y)(2x−3y)\)

\( \boxed{\sf (2x+3y)(2x−3y)}\)

Answer:

Choice D

Step-by-step explanation:

Factorise: 4x²-9y²

We can obtain the factorization by this identity:

Rewrite the given expression as:

Let (2x)² be a and (3y)² be b according to the identity.

So applying the identity:

Choice D is accurate.