A doctor gives a patient a 70% chance of surviving bypass surgery after a heart attack. If the patient
Isurvives the surgery, then the patient has a 40% chance that the heart damage will heal. Find the
probability that the patient survives the surgery and the heart damage heals. The probability is nothing

Answers

Answer 1

Answer:

The probability the person will survive the bypass surgery and that the heart damage will heal is about 28%

Step-by-step explanation:

(7/10)*(4/10)*100=28

To solve for probability of situations like this you have to multiply the fractional values of the two percentages and multiply by 100 to get the new percentage.

Answer 2

Using conditional probability, it is found that there is a 0.28 = 28% probability that the patient survives the surgery and the heart damage heals.

Conditional Probability:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.

In this problem:

Event A: Surviving.Event B: Healing.70% chance of surviving, thus [tex]P(A) = 0.7[/tex].If the patient survives, 40% chance of healing, thus [tex]P(B|A) = 0.4[/tex].

The probability of both is [tex]P(A \cap B)[/tex], then:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)P(A)[/tex]

[tex]P(A \cap B) = 0.4(0.7)[/tex]

[tex]P(A \cap B) = 0.28[/tex]

0.28 = 28% probability that the patient survives the surgery and the heart damage heals.

A similar problem is given at https://brainly.com/question/24161830


Related Questions

How much money will it cost to buy the paint? Show all work

Answers

Answer:

Step-by-step explanation:

Circle:

diameter = 30 ft

r = 30/2 = 15 ft

Area = πr²

         = 3.14 * 15*15

         = 706.50 square feet

Triangle:

base (b) = 30 ft

height (h) = 20 ft

Area = [tex]\frac{1}{2}bh[/tex]

        [tex]=\frac{1}{2}*30*20\\\\=30*10[/tex]

       = 300 square feet

Area of four triangles  = 4 * 300

                                    = 1200  square feet

Area to be painted blue = area of circle + area of 4 triangles

                                        = 706.50 + 1200

                                        = 1906.50 square feet

Area painted by one bucket blue paint  = 350 sq. feet

Number of paint buckets needed = 1906.50 ÷ 350

                                                       = 5.44

                                                       = 6

6 buckets of blue paint is needed.

Cost of 6 buckets of blue paint = 85.50 * 6

                                                    = $ 513

Each part of the design needs two coats.

So Cost for  two coats = 2 * 513

                                     = $ 1026

Square:

Side  =  40 ft

Area of square = side *side

                         = 40*40

                         = 1600 sq. ft

Area of square to be painted yellow = area of square - area of circle

                                                           = 1600 - 706.50

                                                          = 893.50 sq.ft

Area painted with  one bucket of yellow paint = 250 sq. ft

Number of yellow paint buckets needed = 893.50 ÷ 250

                                                                    = 3.574

                                                                    = 4

4 buckets of yellow bucket is needed

Cost of 4 buckets of yellow bucket = 64.50 * 4

                                                          = $ 258

Each part of the design needs two coats.

So Cost for  two coats = 2 * 258

                                     = $ 516

A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 8 ft, find the value of x so that the greatest possible amount of light is admitted.

Answers

Answer: x = 2

If x is the width of the window, the value for x that results in the greatest area-- presumably admitting the greatest amount of light.

Step-by-step explanation:

Initial calculations to find a starting value for w.

Determine dimensions that will have a sum of 8 as the perimeter. The length of the arc plus three sides of the rectangle.

The length of the arc is  half the circumference of the circle, the width is the diameter. So, modifying the equation: C= πd,  a = πw/2

Three sides of a rectangle (presumably a square for the initial calculation) 3w

Initial equation: 3w + πw/2 = 8    Substitute 3.14 for π  and solve for w

2(3w) + 2(3.14w/2) = 2(8)   multiply all terms by 2 to eliminate denominator

6w + 3.14w = 16   combine like terms

9.14w  = 16   divide both sides by 9.14

w ≈ 1.75

Calculate the area using this value:

Area of semicircle:  πr²/2   r= 1.75/2  

3.14(.875)²/2 ≈ 1.203

Area of rectangle  1.75 × 1.75 = 3.0625

Total Area with width 1.75  :  4.265 ft²

Increasing the width to 2

The length of the arc becomes 3.14   This is twice the area of the semicircle.

3.14/2 = 1.57

The height of the rectangle reduces to 1.43

1.43 × 2 = 2.86

Total area with width of 2 ft   2.86 + 1.57 = 4.43 ft²

So 2 ft seems to be the optimal width.

Find the equation of a line passing through the point (6,9) and (0,0)

Answers

Answer:

y=3/2x

Step-by-step explanation:

The equation of the required line as per slope-intercept form is 3x - 2y = 0.

What is the equation of a line passing through two points?

The equation of a line that passes through points (x₁, y₁) and (x₂, y₂) is defined as:  

m = (y₂ - y₁)/(x₂ - x₁)

Here, 'm' is the slope and 'c' is the y-intercept of the given line.

Therefore, the slope of a line that passes through (6, 9) and (0, 0) is

= (0 - 9)/(0 - 6)

= 3/2

Now, the general form of a line is y = mx + c. Here, 'm' is the slope and 'c' is the y-intercept of the line.

The line passes through the point (0, 0).

Therefore, 0 = (3/2) × 0 + c

⇒ c = 0

Now, the equation of the straight line is

y = (3/2)x + 0

⇒ 2y = 3x

⇒ 3x - 2y = 0

Learn more about equation of a line here: https://brainly.com/question/25283605

#SPJ3

In a coordinate plane, plot the points and sketch angle. Write the coordinates of a point that lies in the interior of the
angle and the coordinates of a point that lies in the exterior of the
angle.
A(-5,0)
B(-1,-4)
C(4,2)

Answers

Answer:

A.

Step-by-step explanation:

Which number has the same absolute value
as 8

Answers

Answer:8

Step-by-step explanation:

PLEASE HELP! 6TH GRADE MATH please write done what number you're doing

Answers

Answer:

# 10 is 4/3 or 1 and 1/3

#11 is 4/10 or 2/5

#12 is 2 and 3/4

#13 is 36/12 or 3 and 1/12

Step-by-step explanation:

i am not 100% sure on #13 btw

hope this helped!

p.s it would be cool if you gave me brainliest.

Answer:

Hey your answers on there are correct.

Step-by-step explanation:

An analyst wants to include the level of education to a regression model. The level of education has 4 possible values: HS, BS, MS, and PhD. How many dummy variables must the analyst add to the regression model to account for this variable

Answers

Answer:

Three.

Step-by-step explanation:

An analyst wants to include Level of Education in a regression model.

Level of Education has 4 possible values - HS, BS, MS, PHD

How many dummy variables must the analyst add to the regression model, in order to account for the variable LEVEL OF EDUCATION?

Since LOE has 4 possible values, (4 - 1 = 3) dummy variables will be added to the regression model.

If the dummy letter is M for instance, and 1 represents the presence of a particular LOE and 0 represents the absence of that LOE;

M1 = 1 when LOE is HS   but =0 when LOE is otherwise

M2 = 1 when LOE is BS   but =0 when LOE is otherwise

M3 = 1 when LOE is MS   but  =0 when LOE is otherwise

So, when M1, M2, M3 are equal to 0, the PHD value is represented.

Alice drops a rubber ball from a height of 4 feet. The equation t2=4/16 represents the amount of time, in seconds, it takes for the ball to reach the ground. How long will it take the ball to reach the ground?

A 1/4 second
B 1/2 second
C 2 seconds
D 4 seconds

Answers

Answer:

Letter B

Step-by-step explanation:

Answer:

I belive the answer is B

Step-by-step explanation:

!!!!Please help!!!!Choose the answer that best represents the situation described below
Casey is taking pictures outdoors. She knows that the darker it is outside, the
stronger she needs to set her flash,
A. The amount of light outside is a function of the strength of flash
she needs
B. The strength of flash needed is a functlyn of the shutter speed of
her camera
C. The strength of flash needed is a function of the amount of light
outside,
SUBMIT

Answers

It is a ..............

Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12

Answers

Answer:

13/15 > 4/5 is a true stament.

Step-by-step explanation:

The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.

what is the slope of this line -1/3, -2/3,2/3,1/3

Answers

Answer:

(-5,9),(3,0)

(0,1),(1,0)

(1,2),(3,4)

Step-by-step explanation:

I hope this helps!

Answer: It's 2/3

Step-by-step explanation:

fun quashen first to answer correctly is getting 20 points ( usely you get 5 i am giving 20 ) do it correct and fast .​

Answers

Answer:

the answer is D

Step-by-step explanation:

400 reduced by twice my age is 68 how old am i

Answers

hope it helps.........

A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.

Answers

Answer:

$930.76

Step-by-step explanation:

So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.

Which transformation of a shape may result in a new shape not congruent with the original shape?
O dilation
O reflection
O rotation
O translation

Answers

Answer:

dilation

Step-by-step explanation:

dilation will make the shape larger or smaller which will change the shape.

How can you use a number line to find the sum of -8 and 9?

Answers

Answer:

The answer is 1

Step-by-step explanation:

If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.

The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.

(a) Find the quantity that will maximize profit.

(b) Find the selling price at this optimal quantity.

(c) What is the maximum profit?

Answers

Answer:

a) x = 798   is the quantity that maximizes the profit

b)po(x) = 401 $/unit

c)P(max ) = 636105 $

Step-by-step explanation:

The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:

R(x) = p(x) * x

R(x) = ( 800 - 0,5*x ) * x

R(x) = 800*x - 0,5*x²

The equation for the profit is:

P(x) = R(x) - C(x)

P(x) = 800*x - 0,5*x² - ( 300 + 2*x)

P(x) = 798*x - 0,5*x² - 300

a) P(x) = 798*x - 0,5*x² - 300

Taking derivatives on both sides of the equation:

P´(x) = 798 - x

If P´(x) = 0     then    798 - x = 0

x = 798   is the quantity that maximizes the profit

b) Selling price for the optimal quantity is:

p(x) = 800 - 0,5*x

p(x) = 800 - 0,5* 798

po (x) = 800 - 399

po(x) = 401 $/unit

c) Pmax = ?

P(x) = 798*x - 0,5*x² - 300    by subtitution of  x = 798

P(max) = 636804 - 399 - 300

P(max ) = 636105 $

a) The quantity that will maximize profit is [tex]100 \ units[/tex].

b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.

c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].

Demand Function:

A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.

The given demand function,

[tex]P=800-\frac{1}{2}x[/tex]

So, the revenue function is,

[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]

[tex]\Rightarrow[/tex]Average cost is

[tex]\bar{C}=300+2x[/tex]

So, the total cost function is,

[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]

a) Profit function:

[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]

For maximum,

[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]

b) Selling Price:

[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]

c) Maximum Profit:

[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]

Learn more about of Demand Function: https://brainly.com/question/25938253

Solve for x.

6(x – 1) = 9(x + 2)

Answers

Answer: -8

Step-by-step explanation:

Distribute 6 to x and -1

6x-6=9(x+2)

Distribute 9 to x and 2

6x-6=9x+18

Add 6 to both sides

6x=9x+24

Subtract 9x from both sides

-3x=24

Divide -3 from both sides

X=-8

The answer is -8 hope that helps lol

What is 1.6 + 4x > 14.

Answers

Answer:

Simplifying

1.6 + 4x = 14

Solving

1.6 + 4x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.6' to each side of the equation.

1.6 + -1.6 + 4x = 14 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0

0.0 + 4x = 14 + -1.6

4x = 14 + -1.6

Combine like terms: 14 + -1.6 = 12.4

4x = 12.4

Divide each side by '4'.

x = 3.1

Simplifying

x = 3.1

Step-by-step explanation:

Given: angle EGF = 60° and Angle AGF = 90°. Prove: AGB = 30
I need two column proof btw

Answers

Step-by-step explanation:

you you can state that angles in a triangle add up to 180° and 180 degrees - 90 + 60 is equals to 30 degrees

Just one more question I need this in a step by step please

Answers

Answer:

2x+20+3x+40=90

5x+60=90

5x=30

x = 6

2x+20 = 2(6)+20

12+20

=32

3x+40 = 3(6)+40

18+40

=58

Answer:

Here we can first find the value of x simply by using the concept of corresponding angles.

As we know that angle with measurement 2x+20Degree and the right angle below are corresponding as we can consider the line (underlined in red) as a transversal intersecting lines underlined in green. {PLEASE SEE THE ATTACHMENT TO SEE THE HIGHLIGHTED LINES}

So, we get 2x+20 degree = 90 degree.

=  2x+20=90

=  2x=90-20

=  2x=70

=  x= 70/2

=  x=35 degree.

Now as we know the value of x we can find the other unknown angle by substituting it in the equation for the other angle.

Therefore, 3x+40degree= 3*35+40

105+40

=  145 degrees.

The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card? Select all that apply. A. $2.86 B. $47.86 C. $45.00 D. $47.70 E. $35.29 F. $48.25

Answers

Answer:

B C A

Step-by-step explanation:

What is the slope of y-5= 3x + 4?

Answers

Answer:

x=53

y=19

Step-by-step explanation:

3x + y-5

3(5)=15

15+y

Help Please! :(

108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.

Answers

Answer:

81

Step-by-step explanation:

PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?

Answers

Answer:

The final balance is $1,692.94.

The total compound interest is $392.94.

Step-by-step explanation:

1,300 x 0.045=___ x 6

The price for a new car, without sales tax, is
$18,900. The buyer must also pay a 5% state
sales tax. What is the cost of the car includ-
ing the sales tax?

Answers

Answer:

Step-by-step explanation:

18900 divided by 10 = 1890

1890 divided by 2 is 945

945 is 5 percent of 18900

18900 + 945 = 17955

Answer = 19845

Answer : $19,845

5% of 18,900
= 945

The price for the car
= $18,900

$18,900 + 5
= $19,845

how many inches of lumber are remaining?

Answers

Answer:

I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.      

Step-by-step explanation: How we would solve this problem is simple.

6 + 3 = 9  if you have to turn this into a fraction it would be 9/12 = (3/4).

How many values are in the range 35 to 95?

A) 62
B) 61
C) 60
D) 59

Answers

Answer:

61

Step-by-step explanation:

Answer:  61

==================================================

Work Shown:

a = smallest integer = 35

b = largest integer = 95

c = number of integers between 'a' and 'b' (including both endpoints)

c = b-a+1

c = 95-35+1

c = 61

The +1 is to count the starting value.

Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.

Write 1/8% as a decimal number Enter your number in the box

Answers

Answer:

it is 0.125

Step-by-step explanation:

......................

help please will mark brainliest ​

Answers

Answer:

step 2

Step-by-step explanation:

sorry if im wrong. Please mark me brainleast  

It’s step 2
Hope this helped ! :)
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