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KiRa [710]
2 years ago
8

In Tucson, Arizona, the air pollution index averages 62.5 during the year with a standard deviation of 18. assuming normality, t

he index falls within what interval 95% of the time?
A) (8.5, 116.5)
B) (44.5, 80.5)
C) (45.4, 79.6)
D) (26.5, 98.5)
E) not enough info given
Mathematics
1 answer:
andrew-mc [135]2 years ago
8 0
The interval of 95% confidence, for normally distributed variables, is average +/- 2 * standard deviation:

(-2*standard deviation + average , average + 2*standard deviation)

(-2*18 + 62.5 , 2*18 + 62.5) = (-36 + 62.5 , 36 + 62.5) = (26.5 , 98.5)

Answer: option D)


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Restless Leg Syndrome and Fibromyalgia
Anna11 [10]

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.183.

Step-by-step explanation:

Denote the events as follows:

<em>F</em> = a person with fibromyalgia

<em>R</em> = a person having restless leg syndrome

The information provided is as follows:

P (R | F) = 0.33

P (R | F') = 0.03

P (F) = 0.02

Consider the tree diagram attached below.

Compute the probability that a person with restless leg syndrome has fibromyalgia as follows:

P(F|R)=\frac{P(R|F)P(F)}{P(R|F)P(F)+P(R|F')P(F')}

            =\frac{(0.33\times 0.02)}{(0.33\times 0.02)+(0.03\times 0.98)}\\\\=\frac{0.0066}{0.0066+0.0294}\\\\=0.183333\\\\\approx 0.183

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.183.

3 0
3 years ago
Solve 2x + 4 &gt; 16<br><br> A. x &gt; 10<br> B. x &lt; 6<br> C. x &lt; 10<br> D. x &gt; 6
Salsk061 [2.6K]

Hey there! :)

2x + 4 > 16

We're simply just trying to get x onto it's own side, so let's get rid of any numbers on the same side of it.

We can start out by subtracting both sides by 4.

2x + 4 - 4 > 16 - 4

Simplify.

2x > 12

Then, divide both sides by 2.

2x ÷ 2 > 12 ÷ 2

Simplify.

x > 6

Therefore, our answer is D. x > 6

~Hope I helped!~

6 0
3 years ago
Here are 20 students in Jacob's homeroom. Five students bring their lunch to school. The rest eat lunch in the cafeteria. In sim
murzikaleks [220]

Answer: 3/4

Step-by-step explanation:

Number of students in Jacob's homeroom = 20.

Number of students who bring their lunch to school = 5

Since the rest eat lunch in the cafeteria, the number of those who eats in the cafeteria will be:

= 20 - 5

= 15

Fraction that eats in the cafeteria will be: = 15/20 = 3/4

5 0
3 years ago
A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will i
Alex_Xolod [135]
For this we almost have the following equation:
 h = -16t ^ 2 + 25&#10;
 We must match the equation to zero:
 -16t ^ 2 + 25 = 0&#10;
 From here, we clear the value of t.
 We have then:
 16t ^ 2 = 25&#10;&#10;t ^ 2 = 25/16
 We discard the negative root because we are looking for time:
 t =  \sqrt{ \frac{25}{16} } &#10;&#10;
 t =  \frac{5}{4}
 Answer:
 
it will take him to reach the ground about:
 
t = \frac{5}{4} seconds
5 0
3 years ago
A 208 yard long road divided into 16 parts of equal legnth. Mr. Ward paints a 4 yard long strip of each part of the road?
balu736 [363]
The answer is 4 hope this helps
7 0
3 years ago
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