People with restless leg syndrome have a strong urge to move their legs to stop uncomfortable sensations. People with fibromyalgia suffer pain and tenderness in joints throughout the body. A recent study indicates that people with fibromyalgia are much more likely to have restless leg syndrome than people without the disease. The study indicates that, for people with fibromyalgia, the probability is 0.33 of having restless leg syndrome, while for people without fibromyalgia, the probability is 0.03. About 2% of the population has fibromyalgia. Create a tree diagram from this information and use it to find the probability that a person with restless leg syndrome has fibromyalgia.

**Answer:**

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

**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')}[/tex]

[tex]=\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[/tex]

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

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

**Answer:**

110d + 80 > 1620

d > 14

**Step-by-step explanation:**

The** amount of points from collecting diamonds can be represented by 110d,** since you get 110 points for each diamond, d

**Add 80 to this** to represent the bonus points.

Use a greater than inequality, because you have to get **more than 1620 points.**

**Put this all together:**

110d + 80 > 1620

**Then, solve for d:**

110d + 80 > 1620

110d > 1540

**d > 14**

So, you have to collect **more than 14 diamonds** in less than 2 minutes in order to advance to the next level.

**PLEASE HELP THIS IS DUE TODAY** when the sun's declination is at the highest point, what direction does the sun rise and set?

june 22 the declination reaches a maximum of 24.45° on june 22 summer solstice in the northern hemisphere and a minimum of -23.45 on december 21-22 winter solstice in the northern hemisphere. the sun, the moon, the planets and the stars all rise in the east and set in the west. and that’s because earth spins towards the east

what does they y represent in the equation y=mx+b

**Answer:**

The y-intercept of this line is the value of y at the point where the line crosses the y axis.

**Step-by-step explanation:**

The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept.

By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)

help plz brainless you help me

**Answer:**

24.85 or rounded to 24.9

**Step-by-step explanation:**

Conversion

K H D____D C M

The **number** of **miles** did Tina **ride** when (1 mile ≈ 1.6 kilometers) so it should be considered as the** 25 miles. **

Since

By the end of **Tina’s bike ride**, she traveled a **distance** of 40 kilometers.

And we know that

1 mile ≈ 1.6 kilometers

So,

[tex]= 40 \div 1.6[/tex]

= 25 miles

hence, The **number** of **miles** did Tina **ride** when (1 mile ≈ 1.6 kilometers) so it should be considered as the** 25 miles. **

Learn more about **miles** here: https://brainly.com/question/13208356

Select all the expressions that are rational numbers.

a. 3.14159…

b. –9.1234567123…

c. –9.293847210103938…

d. 227

e. –26

**Answer:**

d,e

**Step-by-step explanation:**

rational numbers are positive and negative whole numbers.

**Answer:**

d,e

**Step-by-step explanation:**

20x+x-2=4 rational equation

**Answer:**

x = 2/7

**Step-by-step explanation:**

Step 1: Write equation

20x + x - 2 = 4

Step 2: Solve for *x*

Step 3: Check

*Plug in x to verify it's a solution.*

20(2/7) + 2/7 - 2 = 4

40/7 + 2/7 - 2 = 4

42/7 - 2 = 4

6 - 2 = 4

4 = 4

**Answer:**

x = 2/7

**Step-by-step explanation:**

Collect like terms:

20x + x = 21x ----> 21x - 2= 4

Move the constant to the right hand side and change the sign of the constant:

21x = 4 + 2

Calculate:

21x = 4 + 2 ---> 21x = 6

Divide both sides by 21:

21/21 and 6/21 = 2/7

Solution:

x = 2/7 or x= 0.285714

4 Rosie has 150 caramel

apples to sell. Each caramel apple is covered with one topping.

of the caramel apples are covered with peanuts.

are covered with chocolate chips.

• The rest are covered with sprinkles.

How many caramel apples are covered with sprinkles?

F

50

G 80

H 70

J 30

7.3B

**Answer:**

I'd say 50

**Step-by-step explanation:**

I just divided 150 by 3 since I only saw 3 toppings.

you just purchased new tennis shoes for basketball for $99 the cost for washing will be $2.00. you will wear them 110 times between basketball practice and games. what is the cost per wearing?

**Answer:**

**Step-by-step explanation:**

espera y termino y te ayudo vale que me falta poco vale

At 7:00 one Summer morning Harry and Hermione hopped into their speedy more motorboat and left Hogwarts dock. They arrived at Dumbledore Wharf 35 minutes later. During the busy summer months a car ferry departs from Dumbledore wharf every five minutes. Tourists crowd onto the ferry for the 55 minute ride to Hogswarts dock. If Harry and Hermione followed the route that the car ferries take, how many car ferries did they see on their trip?

9514 1404 393

**Answer:**

19

**Step-by-step explanation:**

If we assume that the car ferries start at or before 6:05, and each 5 minutes thereafter, and if we count the ferries at the dock on either end, the total number seen is the number of ferries encountered in ...

55 +35 = 90 . . . minutes

That is, it is the number already in transit when they leave, plus the number that start while they are traveling.

That's 90/5 +1* = **19 ferries**.

_____

The attached diagram can give an idea. Each up-sloping line represents a ferry in-transit. The left side is Dumbledore Wharf; the right side is Hogwarts dock. Each horizontal unit represents the distance traveled by a ferry in 5 minutes. Each vertical unit represents a 5-minute interval.

The down-sloping line represents the motorboat travel. The dots at either end of the latter line represent car ferries that are at the dock, just arriving or just-departing. Altogether, there are 17 places where the lines cross, in addition to the boats at the docks.

__

* the +1 is because the number of points defining intervals is 1 more than the number of intervals.

Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Find the value of x and measure of ∠3

∠3=2x+7

∠6=6x+21

**Answer:**

the answer is four

**Step-by-step explanation:**

Can someone plz plz help me with the last 2 problems #5 and #6

**i believe your answers would be **

1/2c+7 and 2H-9

The length of a rectangle is 10 meters more than the width. If 3 meters is added to both the length and the width, the new area will be 299 square meters. Find the length and width of the original rectangle.

HELP HELP HELP HELP

**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

The average cost of a compact car at a certain dealership over the last 10 years has ranged from $15,000 to $24,500. Suppose you were going to plot these points on a coordinate grid. (a) What is a good scale [range] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (b) What is a good interval [step size] would be good to use for the y-axis to make a nicely sized graph? Explain your reasoning. (c) What is a good scale [range] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. (d) What is a good interval [step size] would be good to use for the x-axis to make a nicely sized graph? Explain your reasoning. Note: The step size the distance between the marks on the graph, and the range is the maximum and minimum values (ex: -10 to 10).

Answer:

this is what i did i apologize if i’m late and u no longer need the answer or if i’m wrong

Step-by-step explanation:

Is anyone willing to answer this question I can’t do it

**Answer:**

Not 100% sure on this make sure you double check

**Step-by-step explanation:**

X- 10

Y- 10

Slope- (-1)

like I said this could be wrong

3252614683754629158741032465x93756356872264881+432757232878247-3243566=

**Answer:**

**bout 7**

**Step-by-step explanation:**

**Answer:3.049533e+44 to be exact**

**Step-by-step explanation:**

* Pending

This map shows the organization that was

association of nearly 30 countrior

Where’s the map?? Or is this a part 2 to a question?

What is the equation for calculating portion size?

**Answer:**

How to Easily Calculate the Serving Size in Recipes

Weigh the Food. Before you can accurately divide your recipe into servings, you need to know how much it weighs in total. ...

Divide the Recipe into Servings. ...

Calculate Calories. ...

Save the Information.

**Step-by-step explanation:**

Find the Unit Rate.

216 diving students to 12 instructors

**Answer:** 216 diving students to 12 instructors = 18 students per instructor.

**Step-by-step explanation:**

Which is the best description for the graph?

**Answer:**

decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward

Leon was asked to repaint the sign for his mother's ice cream shop, so he needs to figure out how much paint he will need. Determine the area of the ice cream cone on the sign. Round to the nearest tenth. 6 in 12 in.

**Answer:**

50.1

The area of the composite figure is 50.1

Trust me

The supermarket has 30 aisles. 60% are empty, without any shoppers. How many empty aisles are there in the supermarket?

**Answer:**

18

**Step-by-step explanation:**

to find the percentage of something you change the percent to a decimal and multiply it by the other number, so in this case you have 0.6*30 and you get 18.

hope this helped :))

Pure acid is to be added to a 10% acid solution to obtain 99L of a 20% acid solution. which amounts of each should be used ?

**Answer:**

x = amount of 100% acid solution (pure acid, no water)

y = amount of 10% acid solution (acid + water)

both amounts are in liters

**Step-by-step explanation:**

What is this expression equivalent to? Will Give Brainliest! Image is below.

**Answer:**

the correct answer is 4

O SYSTEMS OF EQUATIONS AND MATRICES

Solving a word problem using a 3x3 system of linear equations....

Over the last 3 evenings, Latoya received a total of 96 phone calls at the call center. The second evening, she received 2 times as many calls as the third

evening. The third evening, she received 8 fewer calls than the first evening. How many phone calls did she receive each evening?

**Answer:**

Find the midpoint of the line segment joining the points R(,) and S(,).

**Step-by-step explanation:**

PLEASE HELP ASAP

can you help me please

so x is equal to 40 so the length of M and N is 140 and no is 70 with the total length being 210 hope I helped could I get a brainliest!!

In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,325 and a standard deviation of $270. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 50 one-bedroom apartments and finding the mean to be at least $2,245 per month

Answer:

0.982

Step-by-step explanation:

Given that:

Mean (μ) = 2325

Standard deviation (σ) = 270

From the central limit theorem ; the Distribution of 50 sample means will be normally distributed

Finding the mean to be at least $2245 per month;

x = 2245

Using the Z score relation :

Zscore = (x - μ) / (σ/√n)

Zscore = (2245 - 2325) / (270/√50)

Zscore = - 80 / 38.183766

ZSCORE = - 2.0951312

= - 2.1

P(Z > - 2.1) = 0.982 ( from the Z probability Calculator).

8.032×10^-4 in standard form

**Answer:**

0.0008032

**Step-by-step explanation:**

Hope this helps!

**Answer:**

80,320

**Step-by-step explanation:**

How is 5 represented in 6.75

**Answer:**

5 is in the hundreths place :))

**Step-by-step explanation:**

**Answer:**

0.05

**Step-by-step explanation:**

since the place value of the five is beyond the decimal point, and it is the second number beyond the decimal point, so it is in the hundredths place.

Which shows another way to write 9.54?

O 0.5 + 0.04

O 9+ 0.4 + 0.05

O (9 * 1) + (5 x 0.1) + (4 x 0.01)

O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)

**Answer:**

It would be C

**Step-by-step explanation:**

Drag numbers to complete the table for missing values of x, x2, and x3.
PLZ HELP MEIn 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3 of the price in 2011. Write an expression for the price of gold per ounce in 2016. Explain how you found the expression.
What is the key for a successful relationship? and Why?
8.03210^-4 in standard form
The primary source of energy for most organisms are
SOMEONE PLEASE HELPPP
Add my snaq k1nglean if anyone wants to ttrade you gotta be 16+
Shannon's little brother is 7 weeks old. She is exactly3 years and 3 days older than he is. How old is Shannon in days?Assume that a year is 365 days.
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Two pounds of grapes cost $6. How many pounds of grapes canyou get for $1? (hint: write a repeating decimal as a fraction)
Which shows another way to write 9.54?O 0.5 + 0.04O 9+ 0.4 + 0.05O (9 * 1) + (5 x 0.1) + (4 x 0.01)O (9 x 0.1) + (5 x 0.01) + (4 x 0.001)
Jayvon has 33.6 points in a competition. He loses 5.5 points,Write and then evaluate an addition expression to determine Jayvon's current points.
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How does the Gulf Stream affect weather in the United States? A. It brings cooler temperatures from the poles. B. It brings cooler temperatures from the tropics. C. The warm surface currents help create storms and fog. D. The cool surface currents produce cooler weather and fog.