Solve for r.
r + 7 < 6 or r + 8 > 18
Write your answer as a compound inequality with integers.

Answer:

The probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

Step-by-step explanation:

Denote the events as follows:

F = a person with fibromyalgia

R = 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:

[tex]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)}\\\\=0.183333\\\\\approx 0.1833[/tex]

Thus, the probability that a person with restless leg syndrome has fibromyalgia is 0.1833.

Answer:

1. 2.328×[tex]10^{22}[/tex]

2. 487

3. 30.52  OR  0 (see explanation↓)

Step-by-step explanation:

1.[tex](25)^{2t}[/tex]

(sub for t=8)

=[tex]25^{2*8}[/tex]

=[tex]25^{16}[/tex]

=2.328×[tex]10^{22}[/tex]

2.[tex]2st^{2} -5^{2}[/tex]

(sub for s=4 and t=8)

=2×4×[tex]8^{2}[/tex]-[tex]5^{2}[/tex]

=512-25

=487

3.[tex]2s^{2} -t^{3/16}[/tex] (the equation is not clear so I will do [tex]2s^{2} -\frac{t^{3} }{16}[/tex] as well)

FOR [tex]2s^{2} -t^{3/16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]8^{3/16}[/tex]

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

FOR [tex]2s^{2} -\frac{t^{3} }{16}[/tex]

(sub s=4 and t=8)

=2×[tex]4^{2}[/tex]-[tex]\frac{8^{3} }{16}[/tex]

=32-32

=0

It's a coffin because the person who makes it is alive so they don't need to use it, the person who buys it is also alive and buying it for someone else.

The person who is using it has passed away so they can't see or feel anything.

:( This is one morbid riddle.

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Step-by-step explanation:

yeti et87stps tu et8 e85et 8

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I ts its 7w496 w4y rs9rr s77

Answer:

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

Step-by-step explanation:

From the question we are told that

   The sample size is n =  16  

   The population proportion =  0.5

     The number that of students that picked out the teachers dog is k  =  14

Generally the sample proportion is mathematically represented as

       [tex]\^ p  =\frac{k}{n}[/tex]

=>     [tex]\^ p  =\frac{14}{16}[/tex]

=>     [tex]\^ p  = 0.875 [/tex]

The null hypothesis is  [tex]H_o :  p = 0.5[/tex]

The null hypothesis is  [tex]H_o :  p >  0.5[/tex]

Generally the test statistics is mathematically represented as

   [tex]z  =  \frac{\^  p  -  p }{\sqrt{ \frac{p(1- p )}{n} }  }[/tex]

    [tex]z  =  \frac{0.875   -  0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} }  }[/tex]

    [tex]z  = 3[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  P(Z > 3)[/tex]

From the z table the probability of  Z>3  is mathematically represented as

      [tex]P(Z > 3) =  0.0013499[/tex]

So

   [tex]p-value  =  0.0013499 [/tex]

Let  assume the level of significance is  [tex]\alpha = 0. 05[/tex]

Generally from the value  obtained we see that [tex]p-value  <  \alpha[/tex] Hence  

The  decision rule is  

Reject the null hypothesis  

The conclusion is  

There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing

9514 1404 393

Answer:

  y = -1/3x -1

Step-by-step explanation:

The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...

  m = -1/3

Only one answer choice has that value as the coefficient of x:

  y = -1/3x -1

Answer:

2

Step-by-step explanation:

1/2*4 = 2

hope this helps

Answer:

36 feet.

Step-by-step explanation:

2 goes into 24 12 times, 12 times 3 is 36 therefore the actual house is 36 feet tall.

Answer:

1) 4 pots

Left over 2

2) 168 to make 12

122

3) 9

18

Step-by-step explanation:

Answer:

the dollar for 9 interstate is 16 rupees is and interest rate for 88 percentage is is 14 rupees

Answer:

L = 20

W = 10

Step-by-step explanation:

L = (w + 10)

NL = (w + 13)

Divide 299 by 13:

299 ÷ 13 = 23

So, 23 x 13 = 299

L = 23

W = 13

Subtract 3 from both to get the original length and width

Answer:

5 and 39/40.

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's D the reasoning here is just look at the points at the graph and their x y coordinate

Answer:

I think 2n-8 because you are taking 8 away from 2 times a number

Step-by-step explanation:

Answer:

6.

4.

Step-by-step explanation:

We need the value of x when y = -15:

-15 = -4x + 9

-4x = -15 - 9 = -24

x = 6.

-15 = -6x + 9

-6x = -24

x = 4.

If an orthocenter lies inside of a triangle, then the triangle must be acute.

Orthocenter of a triangle is the intersection of any two of three altitudes of a triangle. The third altitude usually pass through the point of the first two altitudes.

Thus, If an orthocenter lies inside of a triangle, then the triangle must be acute.

Learn more about orthocenter here: https://brainly.com/question/6944944

Answer:D ( acute)

Step-by-step explanation:

edg

Answer:

7

Step-by-step explanation:

2 is thousands so 7 must be ten thousand

Answer:

n-27

Step-by-step explanation:

If we assume the number is n, the expression will be n-27. You could use any other variable, too. Hope it helps!

Answer:

f - 27

Step-by-step explanation:

we don't know the number that's being subtracted so it would be any integer minus 27

Answer && Step-by-step explanation:

We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right

it will always be negative due to the negative sign being outside the abs val,

and the abs val, making the inside positive.

thus the resulting graph will be inverted from what was previously said

it will now come from the bottom right to the top left (still a diagonal line)

Answer:

1/2, 2/4, 4/8

Step-by-step explanation:

because they are all one half then they are equal

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here's a picture of a seal

i hope you like it

Answer:

6

Step-by-step explanation:

if you do 48 divided by 8 it equals 6 so therefore the number that would increase it would be 6 because 6x8 equals 48.

hope this helps

here is the Answer:

5(x+4)

Hope it helps

The answer to the equation is [tex]x=-\frac{25}{3}[/tex]

First, you must cross multiply the fractions.

[tex]10*-\frac{5}{2} =x*3[/tex]

[tex]-25=3x[/tex]

Then, you must flip the equation.

[tex]3x=-25[/tex]

Finally, divide 3 on each side

[tex]\frac{3x}{3}=\frac{-25}{3}[/tex]

[tex]x=-\frac{25}{3}[/tex]

Answer:

4 pounds a month

Step-by-step explanation:

is that what you're looking for

The average weight lost per month is 5 pounds.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that,

Rob lost 24 pounds in 6 months of his diet, then lost 16 pounds in 2 months.

Total weight lost = 24 + 16 = 40 pounds

Total time taken to lose the weight = 6 + 2 = 8 months

Average weight lost = Total weight / Total time

                                  = 40 / 8

                                  = 5

Hence there is a weight of 5 pounds lost per month.

To learn more about Division, click on the link given below :

https://brainly.com/question/21416852

#SPJ2

Answer:

You will have .38 feet left of string

Step-by-step explanation:

Just subtract the numbers

Have a good day!

Answer:

0.38

Step-by-step explanation:

4.25-3.87=0.38

Answer:

The answer is below

Step-by-step explanation:

A) Given that the area of the square a square foot = 1 ft², the width = 1 foot

Area = length × width

1 ft² = length × 1 ft

Length = 1 ft²/ 1 ft = 1 ft

B) Given that length of wrapping paper = 1 yd, width = 1 yd.

The area of the paper = length × width = 1 yd × 1 yd = 1 yd²

C) Given that the area of the wetland is a square mile = 1 mile², the length = 1 mile

Area = length × width

1 mile² = 1 mile × width

width = 1 mile²/ 1 mile = 1 mile

D) Given that the area of the square a square meter = 1 m², the length = 1 meter

Area = length × width

1 m² = 1 m × width

width = 1 m²/ 1 m = 1 m