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hodyreva [135]
3 years ago
6

A simple random sample of 25,000 individuals are surveyed in order to determine the prevalence of individuals that contracted th

e flu in the past year. Assuming 4,250 individuals indicated they had been diagnosed with the flu at some point in the past year, what is the prevalence of flu for the past year, as indicated from the survey participants
Mathematics
1 answer:
Neko [114]3 years ago
4 0

Answer:

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

Step-by-step explanation:

Given the survey, the prevalence of the flu, as a percentage, is given by:

Number of individuals diagnosed with flu, multiplied by 100, and divided by the size of the sample.

In this question, we have that:

Sample of 25,000, and 4,250 of those had been diagnosed with the flu at some point in the past year. So, the prevalence of the flu is given by:

\frac{4250*100}{25000} = 17

The prevalence of flu for the past year, as indicated from the survey participants, was of 17%.

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Answer:

(7.5, 1.2) and (7.5, -2.3)

8 0
3 years ago
Two piecewise functions are shown below. What is the value of
gizmo_the_mogwai [7]

Step-by-step explanation:

I am not sure what your problem here is.

you understand the inequality signs ?

anyway, to get

6×f(-2) + 3×g(1)

we can calculate every part of the expression separately, and then combine all the results into one final result.

f(-2)

we look at the definition.

into what category is -2 falling ? the one with x<-2, or the one with x>=-2 ?

is -2 < -2 ? no.

is -2 >= -2 ? yes, because -2 = -2. therefore, it is also >= -2.

so, we have to use

1/3 x³

for x = -2 that is

1/3 × (-2)³ = 1/3 × -8 = -8/3

g(1)

again, we look at the definition.

into what category is 1 falling ? the one with x > 2 ? or the one with x <= 1 ?

is 1 > 2 ? no.

is 1 <= 1 ? yes, because 1=1. therefore it is also <= 1.

so we have to use

2×|x - 1| + 3

for x = 1 we get

2×0 + 3 = 3

6×f(-2) = 6 × -8/3 = 2× -8 = -16

3×g(1) = 3× 3 = 9

and so in total we get

6×f(-2) + 3×g(1) = -16 + 9 = -7

3 0
2 years ago
What is the median of the data set?
cluponka [151]

Answer: 85.5

Step-by-step explanation:

There are 22 data points in the data set.

We can find the median by looking at the 11th and 12th scores, and averaging them.

The 11th score is 85

The 12th score is 86

The average of the two is 85.5

Hence the answer is 85.5

3 0
3 years ago
Talia has a daily budget of $94 for a car rental. Write and solve an inequality to find the greatest distance Talia can drive ea
MariettaO [177]

Answer:

Step-by-step explanation:

Distance traveled by Talia = x

Cost for travelling 'x' miles = x * 0.20 = 0.2x

Daily budget = $94

Inequality,

30 + 0.2x ≤ 94

Solution:

0.2x ≤ 94 - 30      

0.2x ≤ 64        {Divide both sides by 0.2

   x ≤ 64/0.2

 x ≤ 320

4 0
3 years ago
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The answer and process are in the picture.

4 0
2 years ago
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