1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dexar [7]
3 years ago
15

In a​ study, 36​% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

le living close to a nuclear power plant. Among 1111 adults randomly selected from this​ area, only 3 reported that their health was excellent. Find the probability that when 1111 adults are randomly​ selected, 3 or fewer are in excellent health. Round to three decimal places.
Mathematics
1 answer:
steposvetlana [31]3 years ago
5 0

Answer:

0.3907

Step-by-step explanation:

We are given that 36​% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this​ area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health.

i.e. P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

Formula :P(x=r)=^nC_r p^r q ^ {n-r}

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)

P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!}  (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}

P(x\leq 3)=0.390748

Hence  the probability that when 11 adults are randomly​ selected, 3 or fewer are in excellent health is 0.3907

You might be interested in
No one is correctly answering part b in the question plsss help me. Photo attached too!!
GrogVix [38]
The answer is 8lbs because 3/2 is 1.5 and 12/1.5 is 8
4 0
3 years ago
Read 2 more answers
What is 2+2 times the number of the sum
Ksenya-84 [330]

2+2 = 4

4 x (2+2)

4 x 4 =16

3 0
3 years ago
Use your understanding of the symmetry of the sine and cosine functions to determine the value of tan(−theta) for all
Dmitriy789 [7]

Answer:

tan(-\theta)=-tan\theta

Odd function

Step-by-step explanation:

We are given that

tan(-\theta)

We have to determine the value of tan(-\theta)and find tangent function is odd,even or neither.

tan(-\theta)=\frac{sin(-\theta)}{cos(-\theta)}

tan\theta=\frac{sin\theta}{cos\theta}

We know that

sin(-\theta)=-sin\theta

cos(-\theta)=cos\theta

By using  identities

Then, we get

tan(-\theta)=\frac{-sin\theta}{cos\theta}=-tan\theta

tan(-\theta)=-tan\theta

Odd function: If f(-x)=-f(x)

Even function:If f(-x)=f(x)

tan(-\theta)=-tan\theta

Therefore, function is an odd function.

7 0
3 years ago
an isosceles triangle has a vertex angle of 21.21 degrees. two sides of the triangle are each 17.91 ft long. whats the area of t
lubasha [3.4K]

Answer:

The area of triangle is A=58.02\ ft^{2}

Step-by-step explanation:

Let

B -----> the measure of the vertex angle of the isosceles triangle ABC

a and c -----> the two congruent sides of the isosceles triangle ABC

we know that

The area of a triangle applying the law of sines is equal to

A=\frac{1}{2}(a)(c)sin(B)

we have

a=c=17.91\ ft

B=21.21\°

substitute in the formula

A=\frac{1}{2}(17.91)(17.91)sin(21.21\°)

A=58.02\ ft^{2}

7 0
3 years ago
Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac
Serhud [2]

Answer:

Step-by-step explanation:

A)(tanx-4)(9sin^2x-1)=0\\\\\\

9sin^2x-1=0\\\\sin^2x=\frac{1}{9} sinx=\frac{1}{3} or sinx=\frac{-1}{3}

OR    tanx=4\\

B)

3sin2x=3.2.sinx.cosx\\\\6.sinx.cosx-4.sinx= 2sinx.(3cosx-2)=0\\\\3.cosx=2 cosx=\frac{2}{3}

3 0
2 years ago
Other questions:
  • 1.The expression 4 - 3 is an example of a(n)______________.
    14·1 answer
  • What is the value of X
    7·2 answers
  • Find x in the diagram below.
    7·1 answer
  • Please help. What's the answer???
    7·1 answer
  • What is the answer to 365 x 100
    12·1 answer
  • What is the range of the function shown on the graph above?
    11·1 answer
  • Explain what it means to solve a system of equations
    13·1 answer
  • 2,11,20 find the t15
    6·1 answer
  • Question 10 of 25
    9·1 answer
  • Select the function that represents a geometric sequence.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!