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mr_godi [17]
3 years ago
11

Autism is a serious and lifelong disability that is characterized by a severely decreased ability to engage in communication and

social interaction. In 1998 citizens in a New Jersey town were concerned about the number of children diagnosed with autism, and a study was undertaken to establish the prevalence in the community. Data from the study are reported below:
Numbers of Children Diagnosed with Autistic Disorder
Age Category (y) Diagnosed with Autistic Disorder Number of Children in Population
3-5 19 3479
6-10 17 5417

Required:
a. Calculate the prevalence rate of autism for these children for the two age categories.
b. Convert the prevalence rate to a rate per 1,000
Mathematics
1 answer:
Strike441 [17]3 years ago
5 0

Answer:

a. Calculate the prevalence rate of autism for these children for the two age categories.

  • 3-5: prevalence rate = 0.55%
  • 6-10: prevalence rate = 0.31%

b. Convert the prevalence rate to a rate per 1,000

  • 3-5: prevalence rate = 5.5 per thousand
  • 6-10: prevalence rate = 3.1 pér thousand

Step-by-step explanation:

Generally prevalence is calculated using the following formula:

(number of people with autism / number of people measured) x 100%

age category

3-5: prevalence rate = (19/3,479) x 100% = 0.55%

6-10: prevalence rate = (17/5,417) x 100% = 0.31%

if you want to convert to a rate per 1,000, allyou need to do is multiply by 1,000 instead of 100

3-5: prevalence rate = (19/3,479) x 1,000 = 5.5

6-10: prevalence rate = (17/5,417) x 1,000 = 3.1

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Wilma is thinking of a number that is divisible by both 17 and 8. What is the
svet-max [94.6K]

Answer: The smallest possible number is 136.

Step-by-step explanation:

1. You need to find the Least common multiple (LCM), which is the smallest of the common multiples of 17 and 8.

2. You can descompose 17 and 8 into primes factors. Then, you obtain:

17=17

8=(2)(2)(2)=2^{3}

3. Now, you must choose commons and no commons with the greatest exponent and multiply them. Therefore the result is:

(17)(2^{3})=136

LCM=136


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3 years ago
What is 3 2/5 minus 1 9/10
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3\frac{2}{5}=3\frac{2\cdot2}{5\cdot2}=3\frac{4}{10}=3.4\\\\1\frac{9}{10}=1.9\\\\3\frac{2}{5}-1\frac{9}{10}=3.4-1.9=\boxed{1.5}
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Alternate exterior angles are congruent which angle forms a pair of alternate exterior angles with angle 3
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Angle 6 forms a pair of alternative exterior angles with angle 3.

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A rectangle has a length that is increasing at a rate of 10 mm per second with the width being held constant. What is the rate o
NISA [10]

Answer:

the rate of change of the area is Ra= 80 mm² per second

Step-by-step explanation:

the area of a rectangle (A) is

A = L * W , L= length and W= width

if the width remains constant the change in the area is only due to the change in length , thus:

ΔA = Δ( L * W ) = W * ΔL , where ΔA represents the change in area and ΔL represents the change in length

ΔA = W ΔL

denoting Δt as the time required to change, and dividing both sides by Δt

ΔA/Δt = W ΔL/Δt

where Ra=ΔA/Δt = rate of change of the area and RL=ΔL/Δt rate of change of the length.

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6 0
3 years ago
Plz help me with this
Marrrta [24]

Answer:  c) 3

<u>Step-by-step explanation:</u>

Plug in y = -9 and the given x-value to see if it makes a true statement.

a) -4.5 falls in the piecewise function x < -3  --> y = -x

y = -x

-9 = -(-4.5)

-9 = 4.5    FALSE

b) -3 falls in the piecewise function -3 ≤ x ≤ -2  --> y = 2x

y = 2x

-9 = 2(-3)

-9 = -6    FALSE

c) 3 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(-3)²

-9 = -9   TRUE

d) 9 falls in the piecewise function x > -2 --> y = -x²

y = -x²

-9 = -(9)²

-9 = -81   FALSE

4 0
3 years ago
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