Please calculate the probability using the following equations (in document)

Answers

Answer 1

Substitute u = t ³/2592 and du = t ²/864 dt. Then

[tex]P(T)=1-\displaystyle\int_0^T f(t)\,\mathrm dt=1-\displaystyle864\left(1.1574\times10^{-3}\right)\int_0^{\frac{T^3}{2592}}e^{-u}\,\mathrm du[/tex]

The probability that a 12 hour surgery is successful is P (12), so letting T = 12 gives

[tex]P(12)\approx1-\displaystyle\int_0^{\frac23}e^{-u}\,\mathrm du\approx e^{-\frac23} \approx \boxed{0.5134}[/tex]


Related Questions

these questions seem harder than usual im sorry for the bother

Answers

the answer is the first one

Answer:

A

Step-by-step explanation:

what is is distance between (0,2) and (5,2)

Answers

5 units. The only variable changing is x so it's just 5 units up from the second coordinate

A can of juice has a radius of 4 inches and a height of 7 inches. What is the volume of the can?
Round your answer to the nearest tenths place.

Answers

Answer:

351.7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

V = 3.14(4²)(7)

V = 3.14(16)(7)

V = 50.24(7)

V = 351.68

Rounded to the nearest tenth:

351.7

michaela spent $33 on 3 rose bushes and 3 pots of ivy. totsakan spent $92 on 12 rose bushes and 4 pots of ivy. find the cost of one rose bush and the cost of one pot of ivy​

Answers

Answer:

One rose bush costs $6

One pot of ivy costs $5

Step-by-step explanation:

Set up an equation:

Variable x = cost of rose bushes

Variable y = cost of pots of ivy

3x + 3y = 33

12x + 4y = 92

I will use substitution to first solve for x:

3y = 33 - 3x

Divide both sides by 3

y = 11 - x

Substitute y value for 11 - x:

12x + 4(11 - x) = 92

Use distributive property

12x + 44 - 4x = 92

Combine like terms

8x + 44 = 92

8x = 48

Divide both sides by 8

x = 6

Solve for y by plugging in 6 for the x value:

3(6) + 3y = 33

18 + 3y = 33

3y = 15

Divide both sides by 3

y = 5

Check work:

3(6) + 3(5) = 33

18 + 15 = 33

33 = 33

Correct

How many solutions does this system of equations have? Explain how you know.

Answers

Answer:

No solution

Step-by-step explanation:

The given equations are :

9x-3y=-6

3x-y=2.....(1)

5y=15x+10

5y-15x=10

or

y-3x=2 .....(2)

Equations (1) and (2) shows that the lines are parallel. We know that for parallel lines, there is no solution.

2(20 - 3x) = x
[tex]ax {}^{2} + bx + c = 0[/tex]

Answers

Answer:

                   

Step-by-step explanation:

                                                                         

what is 81 divided by 9​

Answers

Answer:

9

Step-by-step explanation:

9

9x9 = 81

Therefore, 81 ÷ 9 is 9

base 44 percentage 99

Answers

do you have to round to anything

kengrew 4/5 of an inch last year sang grew three eighths of an inch who grew more and by how much ​

Answers

Answer:

Ken;

Step-by-step explanation:

Ken grew 4/5 of an inch. 4/5=0.8

Sang grew 3/8 of an inch. 3/8= 0.375

0.8 > 0.375 so Ken grew more.

0.8 - 0.375 = 0.425

So, Ken grew 0.425 more inches than Sang grew. 0.425 is also the same thing as 17/40.

Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.


A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.


$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return

Answers

Answer: $74.75

Step-by-step explanation:

Answer:

74.75 dolors i take test

Step-by-step explanation:

Pls answer just the answer

Answers

Answer:

588000

Step-by-step explanation:

if i am wrong pls tell me cause i think there's a different answer gl g

Answer:

$103,421.88

Step-by-step explanation:

Given:

P = 70000

r = 0.05

n = 1

t = 8

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]

5. Consider the contexts the follow.
a. Create a table for each context.
b. Graph the data in each table.
c. Determine a recursive rule then an explicit equation that fits each context.

Context D: The Rowing Team is selling cookies for $1 each. A friend is selling the cookies and allows you to pay later for cookies you buy beyond the $3 you have in your pocket. How much will you pay your friend if you buy C cookies? (Negative dollars are dollars you pay your friend after the sale).

Answers

Answer:

d

Step-by-step explanation:

1+3=4

To a set of five grades with an average of 7.31, the following grades are added 4.47 and 9.15 What is the new average?

Answers

Answer:

New mean average of 7 grades = 7.17 (Approx.)

Step-by-step explanation:

Given:

Mean average of 5 grades = 7.31

Number of grades = 5

New grades = 4.47 and 9.15

Find:

New mean average of 7 grades

Computation:

Total of old grades = Mean average of 5 grades x Number of grades

Total of old grades = 7.31 x 5

Total of old grades = 36.55

Total of new grades = Total of old grades + 4.47 + 9.15

Total of new grades = 36.55 + 4.47 + 9.15

Total of new grades = 50.17

New mean average of 7 grades = 50.17 / 7

New mean average of 7 grades = 7.167

New mean average of 7 grades = 7.17 (Approx.)

What is the answer to 1+1 ?​

Answers

Answer:

2

Step-by-step explanation:

1+1=2

Thank you for coming to my TED Talk

Answer:

22

Step-by-step explanation:

A pick-up truck is fitted with new tires which have a diameter of 43 inches. How fast will the pick-up truck be moving when the wheels are rotating at 400 revolutions per minute? Express the answer in miles per hour. (mph)

Answers

Answer:

v = 51.19 mph

Step-by-step explanation:

The diameter of the tires, d = 43 inches

The angular velocity of the wheels = 400 revolutions per minute

400 revolutions per minute = (400/60) rev/s = 6.67 rev/s

The circumference of the tire is :

C = 2πr

= 2π×21.5

= 135.08 inches

The speed of the truck is given by :

[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]

or

v = 51.19 mph

So, the speed of the truck is equal to 51.19 mph.

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

oh, easy it’s 25:)

Step-by-step explanation:

Find the mean absolute deviation for the set below. S = 65, 90, 85, 70, 70, 95, 55
A. 12.24
B. 75.7
C. 114
D. 32.67
(I’ll give points + brainalist)

Answers

Answer:

A) 12.24

Step-by-step explanation:

Mean absolute deviation: 65, 90, 85, 70, 70, 95, 55 = 12.244897959184

Answer:

75.7

Step-by-step explanation:

Priscilla makes a profit of $24.50 on every scarf she sells the materials for each scarf cost $8.39 how much does Priscilla sell each scarf for?

Answers

Answer:

SP = $32.89

Step-by-step explanation:

Given that,

CP of every scarf = $8.39

Profit = $24.50

We need to find the SP for each scarf. We can find it as follows :

SP = CP +profit

SP = 8.39+24.50

SP = $32.89

So, Priscilla sells each scarf for $32.89.

IS DUE PLZ HELP Mabel ate break fast at a restaurant. The bil lcame to $38. If she left an 18% tip, how much was the tip?

Answers

Answer:

37.82

Step-by-step explanation:

Turn 18% into decimal=0.18 subtract 0.18 to 38=37.82

Hope it's correct!

10. Find the surface area of the triangular prism. The
base of the prism is an isosceles triangle.
48 cm
25 cm
24 cm
14 cm

Answers

Answer:

C

Step-by-step explanation:

The surface area can be found through the formula

SA=2A+(a+b+c)h

in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.

which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2

Answers

Answer:

x =30/19 and y =2/19

Step-by-step explanation:

5x + y = 8

x + 4y = 2

then

5x + y = 8

-5(x +4y =2)

5x + y = 8

-5x - 20y = - 10

0 +y - 20y = -2

- 19y = -2

y = 2/19 then

5x + 2/19 = 8

5x = 152-2/19

5x/5 =150/19 *1/5

x =30/19

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

m<3 = 127

Step-by-step explanation:

<3 = x

<5 and <3 are supplementary angles so:

x + 53 = 180

x = 127

Find an equation of the line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

m = 4, (6,6)

Answers

Answer:

[tex]4x-y=18[/tex]

Step-by-step explanation:

We want to find the equation of a line in standard form with a slope of 4 and passes through the point (6, 6).

First, we can write it in point-slope form. Point-slope form is given by:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

Where (x₁, y₁) is a point and m is the slope.

Substitute:

[tex]y-6=4(x-6)[/tex]

Distribute the right:

[tex]y-6=4x-24[/tex]

Now, we can separate all the variables and the constants. Subtract 4x from both sides:

[tex]-4x+y-6=-24[/tex]

Add add 6 to both sides:

[tex]-4x+y=-18[/tex]

Traditionally, A or the coefficient of x is always positive. Hence, we can divide both sides by -1 to acquire:

[tex]4x-y=18[/tex]

a1=-3, r= -3, n = 10

Answers

Answer:

N =10

Step-by-step explanation:

N = 10 A1=3
R=-3 hhhhhhhgh

For what values of x is the perimeter of the figure greater than 112 ​meters?

Select the correct choice below and fill in the answer box to complete your choice.

Answers

Answer:

John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? vv

Step-by-step explanation:

if the nth term of a number sequence is n squared-3 if the first 3 terms and the 10th term

Answers

Answer:

First three terms: -2, 1, 6

Tenth term: 97

Step-by-step explanation:

Given

[tex]T_n =n^2 -3[/tex]

Required

The first three terms and the tenth

So, we have:

First term: n =1

[tex]T_1 = 1^2 - 3 = 1 - 3 = -2[/tex]

Second term: n = 2

[tex]T_2 = 2^2 - 3 = 4 - 3 = 1[/tex]

Third term: n = 3

[tex]T_3 = 3^2 - 3 = 9 - 3 = 6[/tex]

Tenth term: n = 10

[tex]T_{10} = 10^2 - 3 = 100 - 3 = 97[/tex]

of the 12 eggs in the carton, 3 were broken. What percent were broken?​

Answers

Answer:

25%

Step-by-step explanation:

plz mark brainliest    also the other answer is correct i just didnt show how

                                 

Answer:

25%

Step-by-step explanation:

3/12=d/100

12d=300

12÷12d=d

300÷12=25

d=25

hope this helps

help please i need it asap

Answers

The correct answer would be 6

Which two statements are true according to the law of supply? A decrease in demand leads to an increase in supply. A decrease in demand leads to a decrease in supply. There is no change in demand or supply. A decrease in price leads to a decrease in supply. An increase in price leads to an increase in supply.

subject is economics

Answers

Answer:

b and c

Step-by-step explanation:

a decrease in demand leads to a decrease in supply. and if there is no change in demand or supply.

Can someone please help me with this!

Answers

Answer:

It's Positive

Step-by-step explanation:

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