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Leno4ka [110]
3 years ago
11

Five hundred people are enrolled in a 10-year cohort study. At the start of the study, 50 have diagnosed CVD. Over the course of

the study, 40 people who were free of CVD at baseline develop CVD. The prevalence of CVD at 10 years is 10%a) trueb) false
Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Answer:

True

Step-by-step explanation:

In this question, we are asked to evaluate the validity of a claim whether true or false.

Firstly, let’s understand what is actually meant by prevalence. Prevalence of a disease actually refers to the proportion of individuals who tested positive to the disease. It is simply the proportion of the individuals in a population that has the disease in question.

In this question, we initially had 50 out of the 500, with 40 who didn’t show symptoms at initial testing showed it later.

This 40 is the number of new cases and is a different term entirely. It is referred to as incidence.

Now to calculate the incidence rate, we apply the following;

Mathematically prevalence can be calculated as number of cases/number of population * 100% = 50/500 * 100% = 10%

This makes the claim correct

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Null Hypothesis [H0] : u < 250  

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The answer: m∡BCD = 130° .
_____________________________________
Explanation:
______________________________
m∡BCD = 9x - 5 = our answer.
_____________________________
Note: (9x - 5) + (m∡C IN Δ  ACB)= 180 ;
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Reason: all angles on straight line add up to 180.
___________________________
Note: In Δ ACB; m∡A + m∡B + m∡c = 180.
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Reason: All three angles in any triangle add up to 180.
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Given  Δ ACB, we are given:
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m∡C= ?
m∡B = (4x + 5)
m∡A = 65
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So, given  Δ ACB; m∡A + m∡B + m∡c = 180;
 →Plug in our known values and rewrite:
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Given  Δ ACB; 65 + 4x + 5 + (m∡c) = 180;
  →Simplify, and rewrite:
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Given  Δ ACB; 4x + 70 + (m∡c) = 180;
  →Subtract "70" from each side of the equation; and rewrite:
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Given  Δ ACB; 4x + (m∡C) = 110;
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Given Δ ACB' m∡C = 110 - 4x ;
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So, we know that: (110 - 4x) + (9x - 5) = 180; (since all angles on a straight line add up to 180.
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We can solve for "x".
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(110 - 4x) + (9x - 5) = 180;
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Rewrite as: 
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(110 - 4x) + 1(9x - 5) = 180 ;  (Note: there is an implied coefficient of "1"; since anything multiplied by "1" equals that same value).
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Note the "distributive property of multiplication": 
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 a*(b+c) = ab + ac ; AND:
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So, +1(9x - 5) = (+1*9x) - (+1*5) = 9x - 5 ;
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So we can rewrite:
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110 - 5 = 105 ;
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9x - 5 = 9*(15) - 5 = 135 - 5 = 130.
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The answer: m∡BCD = 130°
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