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sashaice [31]
3 years ago
10

1. Define the following: Odds ratio Relative risk 2. Describe how to calculate the Odds ratio and provde the formula. 3. Describ

e how to calculate the Relative Risk and provide the formula.
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer and Explanation:

Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.

Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.

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The hopper bin in the picture below is modeled by the two-dimensional figure beside it. The hopper bin is
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The volume of the hopper bin is the amount of feed in it

  • The volume of the hopper bin is 35974 cubic feet
  • The carnival tent can be filled to 85% of its volume and not exceed the weight limit

<h3>The volume of the hopper bin</h3>

The given parameters are:

  • Height of cylinder, H = 20 ft
  • Diameter of cylinder, D = 36 feet
  • Angle, θ = 52°

Start by calculating the radius (r) of the cones.

r = D/2 -------- because the cones and the cylinder have equal diameters.

So, we have:

r = 36/2 = 18

The height (h) of the cones is:

tan(θ) = h/r

This gives

tan(52) = h/18

Make h the subject

h = 18 * tan(52)

Evaluate

h = 23.04

The volume is then calculated as:

Volume = Volume of cylinder + 2 * Volume of cone

This gives

Volume = πr^2H + 2 * 1/3πr^2h

Volume = πr^2H + 2/3πr^2h

Factor out πr^2

Volume = πr^2(H + 2/3h)

Substitute known values

Volume = 3.14 * 18^2 * (20 + 2/3 * 23.04)

Evaluate

Volume = 35973.85 cubic feet

Hence, the volume of the hopper bin is 35974 cubic feet

<h3>The weight limit of the hopper bin</h3>

The given parameters are:

  • Maximum weight = 500000 pounds
  • Feed weight = 22 pounds per cubic feet

For a feed that weighs 22 pounds per cubic feet, the weight of the hopper bin would be:

Weight = 22 * 35974 pounds

Weight = 791428 pounds

At 85% full, the weight wuld be:

Weight = 85% * 791428 pounds

Weight = 672713.8 pounds

672713.8 pounds is greater than the weight limit of 500000 pounds.

Hence, the carnival tent can be filled to 85% of its volume and not exceed the weight limit

Read more about volumes at:

brainly.com/question/3989169

4 0
3 years ago
A teacher writes the following product on the board:
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Answer:

Zhenghao is correct

Step-by-step explanation:

We have that:

(2x+3)(x + 4) = x² + 7x + 12

The only two factors of  x² + 7x + 12 different from 1 ,-1 and and itself are (2x+3) and (x + 4)

If Hafsana says that (x + 3) is a factor of x² + 7 + 12, He or she is not correct.

If Zhenghao says that x² + 7x + 12 is divisible by 2x + 3, He or she is correct because (2x + 3) is a factor of x² + 7x + 12

6 0
3 years ago
What are the answer I don’t need the process
pshichka [43]

Step-by-step explanation:

Don't you need a key for what K equals to solve this?

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3 years ago
Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal
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Answer:

Z = (60 - x + y + z) / √a + b + c

Step-by-step explanation:

Since it is a normal distribution, we must calculate the mean and standard deviation, since we do not have data, what we will do is leave them based on these:

Thus Total Mean time = M1 + M2 + M3

given:

M1 = x

M2 = y

M3 = z

Total Mean Time M = x + y + z

Now to calculate the standard deviation we first calculate the variance.

The total Variance V = V1 + V2 + V3

Given:

V1 = a

V2 = b

V3 = c

V = a + b + c

Thus Standard deviation SD of the complete operation is

SD = √ V

SD = √a + b + c

we need to find the probability that the mean time is less than or equal to 60 minutes, the first thing is to find the value of Z.

Formula of Z is:

Z = (X - M) / SD

In this case X = 60.

On plugging the values we get

Z = (60 - x + y + z) / √a + b + c

refer to the Z table and find the Probability of Z ≤ (60 - x + y + z) / √a + b + c

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4 years ago
Use the distributive property to solve the equation 3.2 = 4/5 (b - 5)
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Answer:

b=1

Step-by-step explanation:

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7 0
3 years ago
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