The British Doctors Study employed an observational cohort design to examine the relationship between smoking and cause-specific mortality. The study's findings, including the calculation of the relative risk, have contributed significantly to our understanding of the harmful effects of tobacco smoking on health.
1. The study type and design of the British Doctors Study can be described as an observational cohort study. It is an ongoing longitudinal study that has followed a large group of doctors over a period of 60 years. The study aims to investigate the relationship between tobacco smoking and cause-specific mortality among British doctors. The participants were surveyed about their smoking habits through a questionnaire, and their vital status and causes of death were tracked using various sources such as the Registrar General's Office, the British Medical Council, and the British Medical Association.
2. The best statistical measure for comparing the rate of death from lung cancer among smokers and non-smokers in the British Doctors Study would be the relative risk (RR). The relative risk compares the risk of an outcome (lung cancer death in this case) between two groups (smokers and non-smokers). It is calculated as the ratio of the risk of the outcome in the exposed group (smokers) to the risk of the outcome in the unexposed group (non-smokers).
A relative risk greater than 1 indicates an increased risk of lung cancer among smokers compared to non-smokers, while a relative risk less than 1 suggests a decreased risk. The relative risk provides valuable information on the magnitude of the association and helps assess the impact of smoking on lung cancer mortality among the doctors in the study.
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What is the greatest possible sum of one billion positive integers whose product is one billion?
Is the coordinates of a point are 3 and 4?
The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)
The coordinates of point A = (-5, -4),
The coordinates of the point B = (-3, 3)
Let the point at the distance 3/4 from A to B = P
The coordinates of point 3/4 from A to B = P
At the x-coordinate, the distance from B to A is = -3-(-5) = 2 units.
At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.
Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)
P = (-5 + (3/4×(2), -4 + 3/4×(7))
P = (-3.5, 1.25)
Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).
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The complete question is -
What are the coordinates of the point 3/4 of the way from A to B?
Explore equivalent ratios by using the slider. Complete the sentences below. For every __ apples, there are 6 oranges.
Answer:
For every 2 apples, there are 6 oranges
Step-by-step explanation:
I got it on khan so trust me
(P. S. could u give me brainliest?)
2. Which statement below is true?
A: -(-5 ) = -0
B: -(-3) = -3
C: - (8) =8
D: - (-7) = 7
Answer:
D: -(-7) = 7 is the true statement!
Step-by-step explanation:
Well we know a negative multiplied by a negative makes a positive!
So for A: -(-5) = positive 5 which doesn't equal -0
B: -(-3) = positive 3 which doesn't equal -3
C: -(8) = negative 8 which doesn't equal 8
D: -(-7) = positive 7 which does equal 7!
4. What is the rate of change of the linear function that has a graph that passes
through the points (-1, 3) and (-2,-4)?
The rate of change of the function that has a graph that passes
through the points (-1, 3) and (-2,-4) is slope and is equal to 7.
The slope of a line is outlined because the amendment in y coordinate with relevancy the amendment in x coordinate of that line. cyber web amendment in y coordinate is Δy, whereas cyber web amendment within the x coordinate is Δx. The slope of a line is calculated victimisation 2 points lying on the line. Given the coordinates of the 2 points, we are able to apply the slope of line formula m = y₂ - y₁ / x₂ - x₁ where (x₁ ,y₁) are the coordinate of first point and (x₂ ,y₂) are the coordinate of second point.We have given two points (-1, 3) and (-2,-4) .
Rate of change of graph is given by slope
Using slope formula , we get
m = -4 - 3 / -2 - (-1)
m = -7 / -2 + 1
m = -7 / -1
m = 7
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I need your help on this.
Answer:
46 inches
Step-by-step explanation:
Answer:
The answer is 46 inches.
Step-by-step explanation:
138 / 3 = 46.
Find x and y
x=6 and y= 40.5
Answer:
x=6 and y=40.5
Step-by-step explanation:
Since the marks on the side indicate that the sides are equivalent to each other,
x+12 = 3x
12=2x
x=6
The angles of a trapezoid add up to 360
360-18-18=324
324=4y+4y
324=8y
y=40.5
In the graphic below, one pair of vertical angles is
1
5
2
6
3
7
4
8
angles 1 and 6
angles 1 and 2
angles 1 and 3
angles 1 and 5
What was the estimated population population of Rhode Island in 1760?
Answer:
D. 45,000
Hope this helps :)
Is -2.75 a whole number, integer or ration number
Answer:
Integer
Step-by-step explanation:
Look it up it will give you an answer
The Temperature decreased from 71.50 F to 56.80 F overnight. How much did the temperature drop? Find the difference.
Answer:
Temperature difference: 14.70°F
Step-by-step explanation:
Since the temperature decreased from 71.50°F to 56.80°F, we could determine the temeprature difference by subtracting the given temperatures:
71.50°F - 56.80°F = 14.70°F
Therefore, the temperature decreased by 14.70°F overnight.
Do All slope triangles have a ratio of 1/5?
What is the slope of the line represented by the equation y= 2x+4?
1
2.
1
4
4
O
2
Answer:
slope = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with slope m = 2
6) Bill is three times older than Kevin. He is also 28 years older than Kevin. How old are they?
Answer:
If bill is 28 years older than him, but also 3 times older than him, then you divide 28 by 3, which gives you 9.3. So that means kevin is around 9 1/4 years old and bill is around 37 and 1/4 years old, but you dont ahve to count the fraction if you dont want to, all that matters is the whole number.
Step-by-step explanation:
Bill is 42, while Kevin is 14 years old
Represent Bill's age with B, and Kevin's age with K.
So, we have the following equations
B = 3K and B = 28 + K
Substitute 3K for B in the second equation
\(3K = 28 + K\)
Collect like terms
\(-K + 3K = 28\)
\(2K = 28\)
Divide both sides by 2
\(K = 14\)
Substitute 14 for K in the first equation
\(B =3 \times 14\)
\(B =42\)
Hence, Bill is 42, while Kevin is 14 years old
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Let P(A)=0.60,P(B)=0.25, and P(A∩B) =0.15. a. Calculate P(A∣B). (Round your answer to 2 decimal places.) b. Calculate P(A∪B). (Round your answer to 2 decimal places.) answer to 2 decimal places.
P(A|B) = 0.60, which means that given event B has occurred, the probability of event A occurring is 0.60. P(A∪B) = 0.70, which represents the probability of event A or event B or both occurring.
a. The probability of A given B, denoted as P(A|B), can be calculated using the formula:
P(A|B) = P(A∩B) / P(B)
Given that P(A∩B) = 0.15 and P(B) = 0.25, we can substitute these values into the formula:
P(A|B) = 0.15 / 0.25
The result is P(A|B) = 0.60.
b. The probability of A union B, denoted as P(A∪B), can be calculated using the formula:
P(A∪B) = P(A) + P(B) - P(A∩B)
Given that P(A) = 0.60, P(B) = 0.25, and P(A∩B) = 0.15, we can substitute these values into the formula:
P(A∪B) = 0.60 + 0.25 - 0.15
The result is P(A∪B) = 0.70.
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You have a sampleof foam with a mass of 100 grams. The density of foam is 0.25 g/cm3. What is the volume of the foam?
Answer:
400 cm³
Step-by-step explanation:
You want to know the volume of a 100 g sample of foam with a density of 0.25 g/cm³.
VolumeThe relation between volume, mass, and density is ...
density = mass/volume
Solving for volume gives ...
volume = mass/density
ApplicationUsing the given values, we find the volume of the foam to be ...
volume = (100 g)/(0.25 g/cm³) = 400 cm³
The volume of the foam is 400 cm³.
Polygon ABCD is dilated, rotated, and translated to form polygon A′B′C′D′. The endpoints of are at (0, -7) and (8, 8), and the endpoints of are at (6, -6) and (2, 1.5). What is the scale factor of the dilation?
Answer:
1/2
Step-by-step explanation:
Plato. just had it
Answer:
The answer is 1/2
Step-by-step explanation:
Determine all horizontal asymptotes of f(x) = x - 2/x^2 + 2 + 2 Determine all vertical asymptotes of f(x) = x - 2/x^2 - 11 + 2 Which of the functions do not have any vertical no horizontal aysmptotes? (a) sin x (b) 5 (c) e^x (d) Inx (e) x^-1 Differentiate: (a) sin(x^2) (b) sin^2x (c) e^1/x (d)In x - 1/x^3 + 1 (e) cos(squareroot 3x)
Setting the denominator equal to zero and factoring, we get:
x^2 - 11x + 2 = 0
Determine all horizontal asymptotes of f(x) = (x - 2)/(x^2 + 2x + 2)
To find the horizontal asymptotes of f(x), we need to examine the limit of f(x) as x approaches positive or negative infinity.
As x approaches infinity, the terms involving x^2 and 2x become insignificant compared to x^2. Thus, we can simplify the function by ignoring the terms containing x:
f(x) ≈ x/x^2 = 1/x
As x approaches negative infinity, we can make a similar simplification:
f(x) ≈ -x/x^2 = -1/x
Therefore, we can conclude that the function f(x) has two horizontal asymptotes, y = 0 and y = -1.
Determine all vertical asymptotes of f(x) = (x - 2)/(x^2 - 11x + 2)
To find the vertical asymptotes of f(x), we need to look for values of x that make the denominator of f(x) equal to zero. These values would make the function undefined.
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Is a rectangle a similar polygon?
For instance, a rectangle is a four-sided polygon that only has equal opposed sides but equal-sized angles. It is therefore an irregular polygon.
Equilateral (all sides are the same length) and equiangularity are requirements for a regular polygon (all angles of the same measure). Rectangles have equal angles. It cannot ever be regular since none of its sides can ever be the same length.
It is a regular quadrilateral as well.
due to the same length of its sides and angles. Like a rectangle, a square has four angles that are 90 degrees. It can also be visualized as a rectangle with equal lengths on its two adjacent edges.
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Most employers require their prospective employees to take a drug test. If the employee tests positive, that means the person uses illegal drugs. According to research (https://www.cbsnews.com/news/drug tests-not-immune-from-false positives/e), not all people that test positive actually use illegal drugs. Assume that 6% of prospective employees actually use illegal drugs. The false positive rate is 5% (person does NOT use illegal drugs, but they test positive), The false negative rate is 10% (person DOES use illegal drugs but they test negative), Draw and label a tree diagram (30 points) and answer the question below (MAKE SURE TO SHOW ALL WORK: (20 points) What percent of prospective employees who test positive actually use illegal drugs? Upload Choose a File
Approximately 53.47% of prospective employees who test positive actually use illegal drugs.
we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.
The correct option is A. The volume is 6.77 cubic units
The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].
We want to find the volume of the solid of revolution when the region is rotated about the x-axis.
Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}
To set up the integral to find the volume of the solid of revolution, we can use the disk method.
We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.
The area of a disk is given by the formula: A = πr²
where r is the radius of the disk and is equal to f(x) in this case.
Therefore, the area of a disk is: A = πf(x)²
Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.
We have The integral that should be used to find the volume of the solid is given as:
V = ∫₁⁶ πf(x)² dx
We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.
We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx
Let u = x - 1, so that du/dx = 1 and dx = du.
When x = 1, u = 0, and when x = 6, u = 5.
Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.
The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.
Thus, the correct option is A. The volume is 6.77 cubic units.
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How can I solve this problem?
a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price
b) The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
Given,
The purchase price for the studio apartment = $200,000
The down payment they paid = $60,000
a) We have to find the percentage of down payment to purchase price.
Here,
Percentage = (down payment x 100) / purchase price
= (60,000 x 100) / 200,000
= 60/2
= 30
That is,
The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.
b) We have to find the percentage to purchase price if the down payment is $90,000
Here,
Percentage = (down payment x 100) / purchase price
= (90,000 x 100) / 200,000
= 90/2
= 45
That is,
The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
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How much is 3 nines?
Answer:
to the third power ?
Step-by-step explanation:
Answer:
The answer is 27!
Step-by-step explanation:
9 plus 9 equals 18 plus 9 equals 27!
how do you do factors of 5 grade
Answer:
If we divide 5 by any other integer, then the remainder will be a non-zero positive integer.
Step-by-step explanation:
the unit value of a cubic centimeter is the same as which metric measurement?
Answer: The unit value of a cubic centimeter (cm^3) is the same as the metric measurement of a milliliter (mL).
This is because 1 milliliter is equal to 1 cubic centimeter. In other words, if you have a cube that measures 1 centimeter on each side, its volume would be 1 cubic centimeter, which would also be equivalent to 1 milliliter of volume.
This relationship between cm^3 and mL is commonly used in scientific and medical measurements involving liquids and gases.
The unit value of a cubic centimeter (cc) is equivalent to one milliliter (mL) in the metric system. Both cubic centimeters and milliliters are used to measure volume, and their conversion is straightforward: 1 cc = 1 mL.
The metric system uses base units such as meters, liters, and grams, and applies prefixes like kilo-, centi-, and milli- to indicate larger or smaller units of measurement.
Cubic centimeters are often used to measure the volume of solid objects or the capacity of containers, while milliliters are more commonly used to measure the volume of liquids. However, both units represent the same volume and can be used interchangeably.
It is important to understand the difference between volume measurements and other metric measurements, such as length or mass. For instance, meters are used to measure length or distance, and grams are used to measure mass or weight. These units cannot be directly converted to cubic centimeters or milliliters, as they represent different physical properties.
In summary, a cubic centimeter (cc) is a unit of volume in the metric system that is equivalent to one milliliter (mL). Both units can be used to measure volume, and they have a simple conversion of 1 cc = 1 mL. Understanding the relationship between these units and other metric measurements is essential for accurately quantifying and comparing different physical properties.
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The distance between each base on a baseball diamond is 70 feet. How far would a player have to throw the ball to get it from 1st base to 3rd base? Round your answer to the nearest tenth and label your answer.
Answer:
140
Step-by-step explanation:
From the 1st base to the 2nd base is 70 feet.
From 2nd base to 3rd base is 140 because 70×2=140.
Another way to do this is 70+70=140.
Hopefully this helps :)
please help, thank you if you do help me
Answer:
Question 1: -3
Question 2: 5
Step-by-step explanation:
Question 1's value decreses by 3 so the answer is -3 :)
Question 2's value increases by 5 so the answer is 5 :)
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A storm that moved through several states at a speed of 60 miles per hour affected 219 miles of land. What did that make the storm
The longest tornado ever recorded spanned 219 miles of land as it swept through many states at a pace of 60 miles per hour.
What are the importance of vector calculus?A tornado could cause a natural disaster to wreak havoc in significant geographic areas.A violent column of air between a thunderstorm and the earth is what is known as a tornado.In severe tornadoes, winds exceeding 200 miles per hour (h) are not uncommon.In conclusion, the longest tornado ever recorded affected 219 miles of land as it swept through many states at a speed of 60 miles per hour.Mathematically, a tornado is vector calculus with a fury. Severe storms are the result of the interaction of the two scalar forces of pressure and humidity with the vector field known as wind.To learn more about tornado, refer to:
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You have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long. How many feet of streamers do you have left?
Answer:
48
Step-by-step explanation:
If we have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long then 48 feet of streamers we left.
What is Unit of Measurement ?A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.
Given that we have a 84 feet of streamers.
You cut 24 pieces that are each 1/2 yard long.
Need to find the feet of streamers we left.
We know that 1 yard is equal to 3 feet.
Therefore, 1/2 yard is equal to 1.5 feet.
The total length of the streamers that were cut is:
24 pieces x 1.5 feet/piece = 36 feet
To find out how much streamer is left, we can subtract the length of the cut streamers from the total length we started with:
84 feet - 36 feet = 48 feet
Therefore, you have 48 feet of streamers left.
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If I work over 40hrs a week, I should get paid overtime which is 1.5 times my hourly rate for each hour over 40. True or False