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goldenfox [79]
2 years ago
14

Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 493 people, 40 people had he

aring aids.
Mathematics
2 answers:
Anna71 [15]2 years ago
8 0
Point estimate proportion is the average of lower and upper interval limit.

Point estimate proportion )p) = x/n
Where x = observations, n=sample size

Substituting;

p= 40/493 = 0.0811
Trava [24]2 years ago
4 0

Answer: 0.0811

Step-by-step explanation:

In the absence of complete data , the sample proportion is considered as the  point estimate of the population proportion .

Given : Sample size of people : <em>n</em>= 493

Number of people had hearing aids : <em>x</em> = 40

Let <em>p</em> be the proportion of people who wear hearing aids.

Now , the sample proportion : \hat{p}=\dfrac{40}{493}\approx0.0811

Thus , the point estimate of the proportion of people who wear hearing aids si 0.0811.

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What is 1+4=5 2+5=12 3+6=21 what does 8 plus 11 equal
Paladinen [302]
This is a classic math problem, and it is not solved in a normal way.

<span>1+4=5
2+5=12
3+6=21
8+11=?

There is a pattern that can be spotted. 2+5 does not equal twelve, however 2*(2+5) does equal 12. Below is how to solve the rest of the equations:

</span>1+4=5 -> 1*(4+1)=5
2+5=12 -> 2*(5+1)=12
3+6=21 -> <span>3*(6+1)=21 </span>
8+11=? -> <span>8*(11+1)=96 
</span>
This is one way to answer the problem, HOWEVER there is another way to answer the problem that gives the SAME answer, but many people mistakenly believes it gives a different answer. If anyone tries to post the other way of doing this problem, but tells you the answer is 40, please comment on this post or message me and let me know. I will explain why the answer is actually 96 either way.
4 0
2 years ago
Assume that a fair die is rolled. The sample space is , 1, 2, 3, 4, 56, and all the outcomes are equally likely. Find P8. Expres
liraira [26]

Answer:

P\left(8\right)=0

Step-by-step explanation:

Assuming that a fair die is rolled.

  • The sample space is 1, 2, 3, 4, 5, 6 and all the outcomes are equally likely.

Let  X  be the set of all possible outcomes. Let  A  be an outcome.

So, the probability that  A  occurs is:

                                                        P\left(A\right)=\frac{|A|}{|X|}

As the set of all possible outcomes of the roll of a single die is:

X=\left\{1,2,3,4,5,6\right\}

Observe that

|X|=6

Here  

|A|=0   because 8 is not in the set sample space. So, the outcome of occurring the number 8 is not possible from the all possible outcomes.

So, the probability must be zero.

In other words,

                        P\left(A\right)=\frac{|A|}{|X|}

                         P\left(8\right)=\frac{0}{6}=0

Therefore,

                   P\left(8\right)=0

5 0
2 years ago
Jacob spends 60 minutes in the gym every day doing freehand exercises and running on the treadmill. He runs on the treadmill 30
elixir [45]

Answer:

a.

x + y = 60

x = y + 30

b.

substitution:

(y + 30) = y = 60

2y + 30 = 60

2y = 30

y = 15

15 minutes for freehand

c.

No, because if he spends 40 minutes on the treadmill, he would have spent 10 minutes for freehand exercises. His total time in the gym would be 50 minutes, not 60.

8 0
2 years ago
A tile mosaic in the shape of a right triangle is used as the corner for a rectangular pathway. The hypotenuse of the mosaic is
Anit [1.1K]

Answer:

The lengths of the sides are 2.2 ft and 4.5 ft

Step-by-step explanation:

Let

a -----> the length of one side of the mosaic

b ----> the length of the other side of the mosaic

c ----> the hypotenuse of the mosaic

we know that

Applying the Pythagoras Theorem

c^{2}=a^{2}+b^{2} -----> equation A

we have

a=2b -----> equation B

c=5\ ft -----> equation C

substitute equation B and equation C in equation A and solve for b

5^{2}=(2b)^{2}+b^{2}

25=5b^{2}

b=\sqrt{5}=2.2\ ft

Find the value of a

a=2b ------> a=2\sqrt{5}=4.5\ ft

therefore

The lengths of the sides are 2.2 ft and 4.5 ft

6 0
2 years ago
In a health club, research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard dev
Paha777 [63]

Answer:

0.3114

Option d is right

Step-by-step explanation:

Let X be the time spent on a treadmill in the health club

Given that  research shows that on average, patrons spend an average of 42.5 minutes on the treadmill, with a standard deviation of 5.4 minutes

Also given that X is normal

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill.

= P(30

round off to two decimals tog et

the probability that randomly selected individual would spent between 30 and 40 minutes on the treadmill is 0.31

Hence option d is right

3 0
2 years ago
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