It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

Answers

Answer 1

For a;

[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]

For b;

[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]

If my calculations are incorrect, then sorry ;/

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Related Questions

Find 110% of 80 by writing the percent as a fraction

Answers

Answer:

[tex]\frac{80}{100}[/tex] i think its 80 or 88

Step-by-step explanation:

so sorry if this is wrong

Answer:

88

Step-by-step explanation:

x / 80 = 110 / 100

Cross multiply

80 * 110 = 100x

8800 = 100x

Divide both sides by 100

88 = x

Fill in the missing value for Y,
then click DONE.
y = 2x + 3

Answers

Answer:

x = 2 so y = 7

x = 4 so y = 11

Step-by-step explanation:

y = 2x + 3

x = 0 so y = 2(0) + 3 | y = 3

x = 2 so y = 2(2) + 3 | y = 7

x = 4 so y = 2(4) + 3 | y = 11

x = 6 so y = 2(6) + 3 | y = 15

A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.


please write an inequality
also please solve for p <3

Answers

9 because if it another person it will be 150 in you still got to had tax

Triangle A has a 50 degree angle and a 25 degree angle. Triangle B has a 50 degree angle and a 105 degree angle. Are the two triangles similar?

Answers

They are both triangles
Triangle A: isosceles
Triangle B: Isosceles
Overall yes the two are similar.

What number multiplied by 3/10 is equal 2/3?

Answers

Answer: 20/9

Step-by-step explanation:

Solve for B: 19 (less than or equal too sign) B + 17

Answers

Here you go, the work is on the paper attached

What is the value of the expression shown below, when p= 1 and q= 4

Answers

Answer:

The correct answer is 5.

Step-by-step explanation:

I got 100% on the assignment

if one rents a car from Airport Rent-a-Car, the charge is $79 plus 7 cents a kilometer. Savings Rent-A-Car charges $59 plus 9 cents a kilometer. If one will drive d kilometers, when is it cheaper to use Savings Rent-A-Car?

Answers

It will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

Given that if one rents a car from Airport Rent-a-Car, the charge is $ 79 plus 7 cents a kilometer, while Savings Rent-A-Car charges $ 59 plus 9 cents a kilometer, to determine, if one will drive D kilometers , when it is cheaper to use Savings Rent-A-Car, the following calculation must be performed:

79 + 0.07 x 30 = 79 + 2.1 = 81.1 59 + 0.09 x 30 = 59 + 2.7 = 61.7 79 + 0.07 x 300 = 100 59 + 0.09 x 300 = 86  79 + 0.07 x 600 = 121 59 + 0.09 x 600 = 113  79 + 0.07 x 900 = 142 59 + 0.09 x 900 = 140  79 + 0.07 x 1000 = 149 59 + 0.09 x 1000 = 149

Therefore, it will be cheaper to use Savings Rent-A-Car up to 1000 kilometers, from then on it will be cheaper to use Airport Rent-a-Car.

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(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?

Answers

The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Step-by-step explanation:


The sum of the digits of a two-digit number is 12. If the number is multiplied by 3, the result is 144. Write
and solve a system of equations. Find the number.

Answers

Answer 48

Step-by-step explanation:

The two-digit number that satisfies the given condition will be 48.

What are digits?

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 are digits.

Suppose the two-digit number is xy.

Sum x + y = 12

By multiplying by 3,

3(10x + y) = 144

10x + y = 48

Put y = 12 - x

10x + 12 - x = 48

9x = 36

x = 4

And, y = 12 - 4 = 8 so the number will be 48.

Hence "The two-digit number that satisfies the given condition will be 48".

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please help will give brainliest

Answers

Answer:

Look at the pictures (they are color coded)

red is 1st

blue is 2nd

green is 3rd

black is 4th

Find the area of this semi-circle with diameter,
d
= 60cm.
Give your answer rounded to 2 DP.

Answers

Answer:

3.14*15^2=706.5

706.5/2=353.25

Hope This Helps!!!

The area of the semi-circle with a diameter of 60 cm is approximately 1413 square centimeters.

What is the area of the semi-circle?

A semicircle is formed by simply dividing a circle into exactly two halves.

Hence, the area of a semi-circle is half the area of a circle.

Area of semi-circle = 1/2 × πr²

Given the parameters:

Diameter d = 60 cm

Radius r = diameter/2 = 60/2 = 30 cm

Area =?

To determine the area of the semi-circle, plug the value of the radius into the above formula and simplify:

Area of semi-circle = 1/2 × πr²

Area of semi-circle = 1/2 × 3.14 × 30²

Area of semi-circle = 1/2 × 3.14 × 900

Area of semi-circle = 3.14 × 450

Area of semi-circle = 1413 cm²

The area is approximately 1413 square centimeters.

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angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for this function. choose two ordered pairs and write a ratio that can be used to find the slope or constant rate of change.

Answers

Given that Angelo spends the same amount everyday from the amount in

the lunch card, the function of the amount remaining is a linear function.

The constant rate of change of the function is; -5.25The two ordered pair used to find the constant rate of change are; (1, 44.75) and (2, 39.5)

Reasons:

The amount Angelo's mother put on the lunch card = $50

A possible table of values to the question is presented as follows;

[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]

Required:

The constant rate of the function that gives the amount remaining from the

amount Angelo's mother put on his lunch card.

Solution:

[tex]Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]

The two ordered pair that can be used to find the slope or constant rate of change are;

(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)

With the above two ordered pairs, we have the constant rate of change of the function given as follows;

[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]

The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25

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If the radius of a circle is ‘r’ units, which of the following is its circumference? *​

Answers

Answer:

2πr

Explanation:

The area of the unit circle is π (in general πr2 where r is the radius).

Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4

Answers

The system of equations that can be used to determine the number of nickels and dimes is:

x + y = 468

0.05x + 0.01y = 34.40

Where:

x = number of nickels

y = number of dimes

The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.

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What is the value of y?
y-5 1/2 = 3 1/3

Answers

Step-by-step explanation:

Y - 5 1/2 = 3 1/3

Y = 3 1/3 + 5 1/2

Y = 8.83

NEED HELP NOW PLEASE

Answers

Answer:

-33.24 degrees F, -33.625 degrees F, -33.833 degrees F

Evaluate the numerical expression 24
Enter your answer in the grid below.

Answers

Answer:

what grid below

Step-by-step explanation:

Answer:

what grid below

Step-by-step explanation:

Each time Cali babysits, she gives 35% of
the money to her sister who comes and
helps out. Find the expression that
shows how much money Cali keeps each
time she babysits.
A. (0.35%
B. X-(0.35)
C. x/0.35
D. X-0.35

Answers

The answer is X-(.35)x

At a football game.120 tickets were solf and the concession stand sales were 600. The next week. 150 tickets were sold and the concession stand cells were $750. write a linear equation to represent this situation. How much would u expect the stand ti make if only 90 tickets sold

Answers

Answer:

450$

Step-by-step explanation:

Simplify this question

Answers

[tex]\\ \sf\longmapsto √64+√-81-i^2[/tex]

[tex]\\ \sf\longmapsto 8+√81i-(-1)[/tex]

[tex]\\ \sf\longmapsto 8+9i+1[/tex]

[tex]\\ \sf\longmapsto 9i+9[/tex]

A scale of a model has a scale of 1:360.

A. The actual length of the football field including the end zones is 120. how long in inches is the football field in the model?

B How many times the length of the model is the length of the actual stadium

Answers

Answer:

120 yards,360 feet's of length and 53 1/3 yards,160 feet of width

7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB​. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment

Answers

A rhombus can have the same shape and dimension as a square or a

parallelogram, therefore, all rhombuses are not similar.

A step in the proof that have flaws is step 3.

Reasons:

By reading through the given steps, we have, the first step that is incorrect

is step 3.

Step 3: The requirement for the similarity of two figures based on the

proportionality of the corresponding sides of the figures is related with

triangles as given by the triangle proportionality theorem.

This is so because, the lengths of the sides of a triangle depends on the

opposite interior angle, while the side of a rhombus can have a

combination of large length and and acute angle.

Two rhombuses that have proportional sides may be dissimilar,

because they can have different interior angles.

Therefore;

The step in Tyler's proof that have a flaw is Step 3

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Quick! I need an answer now! Please!
Linear or nonlinear:
y=x y=x/2 - 3 3x + y =12 y= 6/x - 2 y=3x^3+5

Answers

this equation is a non linear equation

An equation is linear if there are no exponents or square roots or any funny business goin on

In this case, many of the equations, such as Y=x/2-3 have no exponents, which means they are linear

The only one that is nonlinear is the last one, which has an x^3. This graph would look wiggly (as to mean non linear)

Broccoli costs $1.50 per pound at a store. How much money does 32 onces of broccoli cost

Answers

Answer:

$3.00

Step-by-step explanation:

1 pound = 16 ounces

2 pounds = 32 ounces

1.5 x 2 = 3

The radius of the front wheel of Brian's bike is 45cm.
Brian goes for a cycle and travels 78.15km.
How many full revolutions did Brian's front wheel complete?

Answers

Answer:

Each wheel has diameter 45cm. James cycles his bicycle in a straight line in the playground. The front wheel makes 15 complete revolutions.

Step-by-step explanation:

tell me if im wrong.........

Brian buys a computer for £2100.
It depreciates at a rate of 1% per year.
How much will it be worth in 6 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

it will be 1974

Step-by-step explanation:

2100*6/100

=126

Answer:

1997.08 pounds at the beginning of 6 years.

Step-by-step explanation:

If you start at 2100 pounds, and it depreciates by .01 every year, you would start by doing this. It wouldn't just be subtracting 21 each year because the value depreciates and 1% would come off the new depreciated value each year.

1st year - 2100*.01 = 21  

2100-21 = 2079

2nd year - 2079*.01 = 20.79

2079 - 20.79 = 2058.21

3rd year - 2058.21*.01 = 20.58

2058.21-20.58 = 2037.63

4th year - 2037.63*.01 = 20.38

2037.63-20.38 = 2017.25

5th year - 2017.25*.01 = 20.17

2017.25 - 20.17 = 1997.08

6th year - at the beginning of the 6th year, it would be worth 1997.08.

At the end of the 6th year, it would be: 1997.08*.01 = 19.97.  1997.08-19.97 = 1977.11

a box of snacks contained 20 individual packages. the newly designed box contains 28 individual packages by what percent did the individual packages increase

Answers

Answer:

40%

Step-by-step explanation:

increased amount = 28 - 20 = 8

to get the percentage we have to divide the increased amount by original amount which will be 8/20 = 0.4

0.4 is 40%

The percentage increase is given as:

= [ (Final value - Initial value) / Initial value] x 100

The percentage increase in the number of individual packages is 40%

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Number of initial individuals packages = 20

Number of final individuals packages = 28

The percentage increase is given as:

= [ (Final value - Initial value) / Initial value] x 100

The percentage increase in the number of individual packages:

= [(28 - 20) / 20] x 100

= (8/20) x 100

= 40%

We can cross-check:

100% = 20 packages

140% = 140/100 x 20 packages

140% = 28 packages.

Thus,

The percentage increase in the number of individual packages is 40%

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Afia bought shoes that were on sale for 30 %off the regular price. Afia saved 12$. What was the regular price of the shoes?


ANSWER SOON

Answers

Divide the amount of savings by the percentage off:

12/0.30 = 40

The regular price was $40

7. Use graph paper to graph each linear function:
f(x) = 4x - 7

Answers

Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values. Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.

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