solve In 2010, the percentage of assisted living residents who had both heart disease and depression was 9%, the percentage with only heart disease was 25%, and the percentage with either condition was 48%. What percentage of assisted living residents had only depression

Answers

Answer 1

Answer:

The percentage of assisted living residents had only depression

P(D) =0.32

Step-by-step explanation:

Explanation:-

Given  the percentage of assisted living residents who had both heart disease and depression was 9%

Let The event 'H' be the event of heart disease and 'D' be the event of depression

P(H ∩D) = 9% =0.09

The  percentage with only heart disease was 25%

P(H) = 0.25

The percentage with either condition was 48%.

P(H∪D) = 48%=0.48

By addition theorem on probability

       [tex]P(H UD) = P(H) +P(D) - P(H n D)[/tex]

              [tex]0.48 = 0.25 + P(D) -0.09[/tex]

            P(D) = 0.48 -0.16

            P(D) = 0.32  

The percentage of assisted living residents had only depression

P(D) =0.32


Related Questions

Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?

Answers

Answer:

4 dimes

2 nickels

Step-by-step explanation:

Answer:

4 dimes 2 nickels

Step-by-step explanation:

The length of a rectangle is 6 metres more than its breadth. the perimeter of the rectangle is 60 metres . find the length and breadth of the rectangle. ​

Answers

Given :

Length of rectangle is 6m more than breadthPerimeter of rectangle = 60 m

To find :

The Length and the Breadth

Solution :

As it is given that the length of rectangle is 6 m more than the breadth.

Thus, let us consider the Breadth as ''x''.

Then the Length will be ''x+6''.

We know that,

Perimeter of rectangle = 2(l + b)

According to Question,

➠Perimeter of rectangle = 2(x+6+x)

➠60 = 2(x+6+x)

➠60 = 2(x+x+6)

➠60 = 2(2x + 6)

➠60 = 4x + 12

➠60 - 12 = 4x

➠48 = 4x

➠48/4 = x

➠12 = x

______________________

∴ We got the Value of Breadth as 12 m, because we have let the breadth as x.

And the Length of the rectangle will be,

↠x + 6

↠12 + 6

↠18 m

Hence,

Length = 18 mBreadth = 12 m

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Helpppppppppppppp asappppp

Answers

Answer:

[tex]B.\ 3[/tex]

Step-by-step explanation:

Given

[tex]x^3 + \frac{1}{3}x^3 +6x + 5[/tex]

Required

Power of term with coefficient of 1

First, we need to identify the variable in the given polynomial

The variable is x

Each term has the following format:

[tex]mx^n[/tex]  where [tex]n \ge 0[/tex] and m is the coefficient

In this case, we are to look for n where m = 1

Looking at each term of the polynomial, we have the following match:

[tex]mx^n = x^3[/tex]

Substitute 1 for m

[tex]1 * x^n = x^3[/tex]

[tex]x^n = x^3[/tex]

By comparison:

[tex]n = 3[/tex]

Hence, the solution to this question is (B)

An insurance company receives nine claims per week, on average. Use this information to answer the next two questions. What is the probability that exactly 7 claims will be received in one week

Answers

Answer:

P(X = 7) = 0.11712

Step-by-step explanation:

From the information given:

Average no. of claims received per week λ = 9

The required probability that exactly 7 claims will be received is determined by applying the Poisson distribution formula:

[tex]P(X=x) = \dfrac{\lambda ^x e^{-\lambda}}{x!}[/tex]

[tex]P(X=7) = \dfrac{9 ^7 e^{-9}}{7!}[/tex]

[tex]P(X=7) = \dfrac{4782969 \times1.23409804 \times 10^{-4}}{5040}[/tex]

[tex]P(X=7) = \dfrac{590.2652672}{5040}[/tex]

P(X = 7) = 0.11712

please help asap! i’m confused which proof to use!

Answers

Answer:

a direct proof

Step-by-step explanation:

Answer:

direct proof

Step-by-step explanation:

any kind of chart wouldnt be helpful, and an indirect proof wouldnt either.

A certain CD has a mass of 10 grams. How many of these CDs would you need to equal a total mass of 2 kg?

write the number of CDs needed in the box.​

Answers

Answer:

200 CDs

Step-by-step explanation:

1000 g = 1 kg

2 kg = 2000 g

2000 / 10 = 200 CDs :D

Connor used 2/3 inch of wire to make a small hook. How many hooks can he make
with 16 inches of wire?

Answers

Answer:

24

Step-by-step explanation:

you divide 16 by the decimal form of 2/3 (0.66666666666666666666666...) and you get your answer, 24.

I hope this helped :))

Answer:

24

Step-by-step explanation:

you divide 16 by the decimal form of 2/3

you get 24.

estimate the value of 196 divide 0.499

Answers

Answer:

392

Step-by-step explanation:

hope this helps dont 4get to like and star

-mercury

H=156-8t-16t^2 in seconds

Answers

Answer:If you use quadratic formula the answer is (rounded) 2.88s

Step-by-step explanation:

Answer:

2.882491 seconds

Step-by-step explanation:

H=156-8t-16t²

-16t²-8t+156=0

16t²+8t-156=0

4t²+2t-39=0

t=2.882491 seconds ................

Round each addend to the nearest whole number and estimate the sum.

19.43 + 11.5 + 3.08

35
36
33
34

Answers

Step-by-step explanation:

a fraction of it and the regular answer it is 33.

Answer:

34

Step-by-step explanation:

19.43 will round to 19

11.5 will round to 12 and

3.08 will round to 3

I hope this helps

in how many ways 5 passengers can sit in a compartment having 16 vacant seats​

Answers

9514 1404 393

Answer:

  524,160

Step-by-step explanation:

Assuming order matters, it is the number of permutations of 16 things taken 5 at a time:

  16P5 = 16!/(16-5)! = 16·15·14·13·12 = 524,160

_____

The first passenger can pick any of 16 seats; the second can pick any of 15 remaining seats; and so on until all 5 passengers have chosen a seat. The number of possible different arrangements is the number shown above.

the equation d= 2/5 t describes the distance d, in yards, an object travels in t minutes. How long does it take the object to travel 1 4/5 yards?

Answers

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

The ground temperature at an airport is 11 °C. The temperature decreases by 6.4 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?

Answers

Answer:

-21°C

Step-by-step explanation:

Since the plane is flying at an altitude of 5 kilometers, then we have to multiply 6.4 by each kilometer that the plane's altitude increased (5). After that, we will end up with 32°C that we have to subtract from the ground temperature of 11°C. Once we do that, we get -21°C which means that the temperature at an altitude of 5 kilometers is -21°C.

(sorry if this is confusing but I hope this helped)

Had three thfk DJ back finding

Answers

The answer is d...........

What is the value of n in this equation?
(2.4 × 10³) × (3 × 10^n) = 7.2 × 10⁹

Answers

Answer:

n = 6

Step-by-step explanation:

[tex](2.4 \times {10}^{3} ) \times (3 \times {10}^{n} ) = 7.2 \times {10}^{9} \\ \\ (2.4 \times 3 \times {10}^{3 + n} ) = 7.2 \times {10}^{9} \\ \\ 7.2 \times {10}^{3 + n} = 7.2 \times {10}^{9} \\ \\ {10}^{3 + n} = {10}^{9} \\ \\ 3 + n = 9 \\ \\ n = 9 - 3 \\ \\ n = 6[/tex]

Which expression is represented by the set of algebra tiles below?
O x+6
O x-6
O 6-X
O 6x- 1

Answers

Answer:

The answer is B

Step-by-step explanation:

Lol I just had this same question on edge 2021 (◕‿◕✿)

Answer:

It Is B, x-6.

Step-by-step explanation:

I Just Did The Unit Test Review (ノ◕ヮ◕)ノ*.✧

Evaluate each expression. 9 5 + 3 4

Answers

The answer is 129







Hope this helps

Determine which of the following sets of side lengths represents the side lengths of a night triangle. Select all that
apply
11, 12
2. 13. 15
1,1,2
7. 24. 25
3.4.5
2.3.3​

Answers

Answer:

7,24,25

3,4,5

Step-by-step explanation:

1. Let assume the three sides of a right triangle are A,B and C, and C is the longest side

2. For the definition of a right triangle, [tex]C^{2}[/tex]=[tex]A^{2}[/tex]+[tex]B^{2}[/tex]

3. For all the sets listed, only these two sets meet the definition.

Answer:

3.4.5, 2.3.3, and7. 24. 25

Step-by-step explanation:

The table shows the scores for four students on a math test. Who earned the highest grade?
Student. Score
Jim 17/20
Sarah. 84%
Ben. 0.86
Mary. 22:25

A.Jim
B. Sarah
C. Ben
D. Mary. Help please

Answers

the answer is Mary, Mary got 88% Ben got 86% and Jim got 85%

how do find M and N​

Answers

Answer:

option D

Step-by-step explanation:

In the right angled triangle , one vertex angle is 60° . The other vertex angle will be = 180 - (90+60) = 30°

Hypotenuse = m ; Perpendicular = n ; Base = 4

Side opposite to 60° = Base

Side adjacent to 60° = Perpendicular

Side opposite to 30° = Perpendicular

Side adjacent to 30° = Base

So,

[tex] \sin(60) = \frac{opposite}{hypotenuse} = \frac{4}{m} [/tex]

[tex] = > \frac{ \sqrt{3} }{2} = \frac{4}{m} [/tex]

[tex] = > m = \frac{4 \times 2}{ \sqrt{3} } = \frac{8}{ \sqrt{3} } [/tex]

Rationalising the value of m gives [tex] \frac{8 \sqrt{3} }{3} [/tex]

Also,

[tex] \tan(30) = \frac{opposite}{adjacent} = \frac{n}{4} [/tex]

[tex] = > \frac{1}{ \sqrt{3} } = \frac{n}{4} [/tex]

[tex] = > n = \frac{4}{ \sqrt{3} } [/tex]

Rationalising the value of n gives [tex] \frac{4 \sqrt{3} }{3} [/tex]

a local elementary school is marking rectangular areas for different stations during their spirit week. each area has a width of 5 yards and a diagonal distance of 13 yards. what is the length, in yards, of each area?

Answers

Answer:

12 yards

Step-by-step explanation:

side b = √(diagonal^2 - side a^2)

y=-|x+3| domain and range

Answers

Answer:

the domain is that x is a set of real numbers.

the range is y ≤ -3

Step-by-step explanation:

y = -|x + 3|

y is either positive or equal to zero.

Now, x is all real numbers because any value of x used will yield a valid value of y.

Thus, we can say that the domain is that x is a set of real numbers.

Now, for the range:

The minus sign in front of the absolute value indicates that the function has a maximum value.

Thus, the range is y ≤ -3

A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If he does not deposit or withdraw any money, how much will he have altogether after one year?

Answers

Answer:

$406

Step-by-step explanation:

The formula for simple interest is I=prtI=prt where II is the amount of interest earned, pp is the initial deposit, rr is the annual interest rate, and tt is the number of years.

It is given that he deposits p=$400p=$400, the bank pays r=1.5%= 0.015r=1.5%=0.015 in annual interest, and t=1t=1 year. The amount of interest he will earn is then I=prt=400(0.015)(1)=$6I=prt=400(0.015)(1)=$6.

His total balance after one year will then be p+i=$400+$6=$406p+i=$400+$6=  

$406

​  

.

Find the HCF and LCM of 28 and 40​

Answers

Step-by-step explanation:

The HCF of 28 and 40 is 4, and the LCM is 280.

Step-by-step explanation:

this is the answer..........

What's the ratio equivalent to 15 to 60.

Answers

Answer:

1:4

Step-by-step explanation:you can simplify the ratio by finding the LCM on both sides and dividing the number by the lcm in which this case is 15.

15/15=1

60/15=4

so 1:4

The answer to the question is 1:4

Step-by-Step explanation:

We have to divide each number over here by the LCF of 15.

The LCF (Least Common Factor) of 15 is 5.

Given the LCF of 15 is 15, we will divide both given numbers by 15.

[tex]\text {60 / 15 = 4 and 15 / 15 = 1}[/tex]

We will put the numbers back in order from least to greatest.

The ratio we find is 1:4, and the answer to your question is 1:4.

Carry on Learning!

Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the final cost?

Answers

Answer:

$38.66

Step-by-step explanation:

When building a chair, a carpenter uses 2 pounds of wood and 4 ounces of glue. If the Carpenter has 8 pounds of wood and 6 ounces of glue, how many chairs will he be able to build

Answers

Answer:

He can build ...

... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))

... = min(floor(6/4), floor(12/6))

... = min(1, 2) = 1

The carpenter can build ...

... e. one chair

Step-by-step explanation:

Please help pleaseeeee

Answers

Answer:

200 pages

Step-by-step explanation:

( number of pages) ×(2/5) = 80

Number of pages = 80 ÷(2/5)

Number of pages = 200

It’s would be 200 because each block is worth 40 pages so 40*5=200

Hope this helps

Have a happy holidays:)

I need help on this question

Answers

Answer: Capitalism

Step-by-step explanation:

hope it helps

PLEASE HELP I WILL GIVE BRAINLIEST AND THANKS IF CORRECT!!!!
Which table does not represent a proportional relationship?
A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1.
A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5.
A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.
A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.

Random answers shall be reported

Answers

Answer:

A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4.

Step-by-step explanation:

cv

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