A new surgery is successful 70% of the time , if the results of 8 such surgeries are randomly sampled, what is the probability that more than 5 of them are successful?

Answers

Answer 1

Answer:

P (x>5) = 0.5324014=0.523

Step-by-step explanation:

Here success = p= 0.7 and failure = q= 1-p= 1-0.7 = 0.3

Number of surgeries= n= 8

Applying the binomial distribution

( p+q) ^n= nC x p^x . q^n-x

More than 5 means  6,7, and 8

( p+q) ^8= 8C 5 (0.7)^5 . (0.3)^3

                =56* 0.16807*0.027

                       = 0.254121

( p+q) ^8= 8C 6 (0.7)^6 . (0.3)^2

                =  28* 0.1177* 0.09

                    = 0.296604

( p+q) ^8= 8C 7 (0.7)^7 . (0.3)^1

                =  8* 0.0824* 0.3

                  = 0.19776

( p+q) ^8= 8C8 (0.7)^8 . (0.3)^0

                =  1* 0.05765* 1

                  =0.05765

Adding the above all probabilities  gives

P (x>5) = P (x=6) + P(x=7) + P(x=8)

               = 0.296604+0.19776+0.05765

                   = 0.5324014


Related Questions

The table shows information about the masses of some dogs.
Work out the minimum number of dogs that could have a mass of
more than 27 kg.
Work out the maximum number of dogs that could have a mass of
more than 27 kg.

Answers

a) The minimum number of dogs that could have a mass of more than 27 kg is 4.

b) The maximum number of dogs that could have a mass of more than 27 kg is 17.

What is interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number one may imagine is a real number.

The given table shows information about the masses of some dogs.

a) As, the minimum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the minimum value out of 13 and 4 is 4.

b) As, the maximum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17.

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9. The expression (xn)(x5)3 is equivalent to x30. What is the value of n?

Answers

Answer: N= x24 over 3

Step-by-step explanation:

(a-b)(a+2)-(a+b)(a-2)

Answers

Answer: 4a - 2ba, also written as 4a - 2ab.

Step-by-step explanation:
1. Mulitply (a-b) with (a+2) using the FOIL method, in which you would multiply a with a, a with 2, -b with a, and -b with 2. After multiplying that you would get a^2 + 2a -ba -2b.

2. Mulitply (a+b) (a-2) using the FOIL method, in which you would multiply a with a, a with -2, b with a, b with -2. After multiplying that you would gett a^2 + 2a -ba -2b.

3. Now, simplify a^2 + 2a -ba -2b - a^2 + 2a -ba -2b by combining like terms. This should give you 4a - 2ba, also written as 4a - 2ab.

What is the perimeter?
Help plz...
And No links!! I repeat No links!!

Answers

Step-by-step explanation:

soln:

In right-angled triangle,

hypotenuse (h)=20mm

base(b)=12mm

perpendicular (p)=?

Now,using Pythagoras theorem,

h^2=p^2+b^2

or, 20^2=p^2+12^2

or,400-144=p^2

or,p=√256

thus,p=16mm

Now,

perimeter= sum of all three sides

i.e. p=20+12+16=48 Ans

image below someone help me i will give brainliest

Answers

I’m sure the answer is 140.

Lololol helpppo plssss

Answers

Answer:

-50

Step-by-step explanation:

7 - (7 * 11 - 1) ÷ 2 - (5)² + 6

7 - (77 - 1) ÷ 2 - 25 + 6

7 - (76) ÷ 2 - 25 + 6

7 - 38 - 25 + 6

-31 - 19

-50

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

B. [tex] - 50[/tex]

Step-by-step explanation:

[tex]7 - \frac{7 \times 11 - 1}{2} - ({5})^{2} + 6 \\ = 7 - \frac{77 - 1}{2} - 25 + 6 \\ = 13 - 25 - \frac{76}{2} \\ = - 12 - 38 \\ = - 50[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

plzzzzz help show ur work to get brainiest im almost out of timeeeee

Answers

Answer:

4n^6+3n^4+5n^2

Step-by-step explanation:

(9n^6-7n^4+9m^2)-(5n^6-10n^4+4n^2)

(9n^6-5n^6)+(7n^4+10n^4)+(9n^2-4n^2)

4n^6+3n^4+5n^2

If this helps please mark as brainliest

Sorry I'm dum,b and don't know scientific notation very well please explain for brainly =D

Answers

The simplest I can put it

10^1 = 10
10^2 = 100
10^3 = 1000
(essentially the number of zeroes)

5*10^2 = 5*100 = 500 (adding 2 zeroes, or moving the decimal over 2 places

Same works for numbers smaller than zero

5*10^-2 = 5*.01 = .05 (moving the decimal to the right 2 places

Answer:

Step-by-step explanation:

How did  you miss this?     it's just about moving the decimal place to where it makes better sense.  which just means, it's easier to read, and maybe to compare with other numbers.    Like how maybe

1,000,000,000,000  might be harder to compare to 1,000,000,000,000,000 than if it looked like this in scientific notation

1.0 x[tex]10^{12}[/tex]   and

1.0 x[tex]10^{15}[/tex]

right away you can see the difference, right?

the lower two numbers are the same as the upper two numbers ,  just to be clear.

also, if the number is much messier  like this

2,254.2356111142254  then it's good to put into scientific notation as

2.254 x [tex]10^{3}[/tex]

scientific notation always puts the decimal after the very 1st digit never like this

22.54 x[tex]10^{2}[/tex]

that's not correct scientific notation.  The decimal always goes right after the 1st digit like this

3.00 x[tex]10^{8}[/tex]  Km/s  maybe you'll recognize this as a very close approximate  for the speed of light?      anyway, hope that helps

Can someone help me out my grade are bad

Answers

Answer:

a. 0.4 and 0.5

b. 0.46

Step-by-step explanation:

i don't know if this right, so lmk

Select the correct answer.
Which piece of information is listed in the income section of a tax return?
A dependent care expenses
B.
dividends
OC. retirement plan contributions
OD
student loan interest

Answers

A. Dependent care expenses

9514 1404 393

Answer:

  B.  dividends

Step-by-step explanation:

You're looking for an income item.

Expenses, contributions, and loan interest are amounts paid, not amounts received. The only income item listed is "dividends."

Two angles of a quadrilateral measure 200° and 50°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?

Answers

Answer:

20° and  90°

Step-by-step explanation:

Let 2x = measure of 1st angle

then 9x =  measure of 2nd angle

The sum of the measures of the angles of a quad is 360

200 + 50 + 2x + 9x = 360

250 + 11x = 360

11x = 110

x = 10

2x = 20°

9x = 90°

can someone check my answer & explain?

Answers

Answer:

The answer should be 3 cubic cm

Step-by-step explanation:

First you have to get the area of the right triangle base 1/2 bh. That would be 2x3/2=3

To find volume, you plug the area in the volume formula

v=1/3 ah

v=1/3 (3)(3)

1/3(9) would be 3 cubic cm


There are 181 students going on a college field trip.

11 students ride in cars

The rest of the students fill 4 buses.

Enter an equation that can be solved to find the number of students, s, that are on each bus.

Enter your response in the first response box.

Enter the number of students that are on each bus.

Enter your response in the second response
box.




It’s due today please help!!

Answers

Answer:

42.5 (students that are on each bus)

Step-by-step explanation:

181 (students)-11 (students in cars) =170 students left

170(students left)÷4(buses)= 42.5(students that are on each bus)

Hope this help you

No links plz! Will mark brainliest if correct!

Answers

Answer:

(m-4) / (5m)

Step-by-step explanation:

((m²-16) / (5m)) / (m+4) =

(m²-16) / (5m(m+4)) =

m²-16 / (5m²+20m) =

(m-4) / (5m)

Please help I have a learning disablity and need help with this.
Please answer both parts
Find the product mentally. Show the steps you used.

4 x 5 1/8

Which one is correct
4(5) + 4 (1/8)
20 + 1/8
4 + 5 (1/8)
4 + 41/8

Answer here _______________

Find the product in the simplest form. Use your answer from question 1 when we rewrote it using the Distributive Property.

4 x 5 1/8

20 1/8
20 1/2
20/8
2 1/4

Answer here ______________

Answers

The product value of 4 x 5(1/8) is 4(5) + 4(1/8).

Option A is the correct answer.

The product value of 4 x 5(1/8) is 20(1/2).

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

4 x 5(1/8)

= 4 x (5 + 1/8)

= 4 x 5 + 4 x 1/8

= 20 + 1/2

= 20(1/2)

Thus,

4(5) + 4 (1/8) is the value.

20(1/8) is the value.

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whats the answer? please help!

Answers

Answer:

Step-by-step explanation:

we konw the speed of burn is 1.25 inchs per hour. so, the left candle is

15-1.25t. the answer is L=15-1.25t

How do you write an expression in factored form?

Answers

To write an expression in factored form, its products needs to be deduced.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Factoring is the process of representing a given number or algebraic statement as the product of its components.

For example - Consider the binomial 3x^2-9x.

On simplifying it -

3x^2-9x = 3x(x-3)

So, here 3x^2-9x is the expanded form and 3·x·(x-3) is the factored form.

Another example is - Consider y^2-100.

The terms used here can all be expressed as squares.

y^2 − 100 = y^2 − 10^2

(y + 10)(y − 10)

The factors in this case are (y + 10) and (y - 10).

Therefore, the products are the factors of an expression.

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Santiago has 5 11/16 cups of dough to make dumpling. If he uses 13/16 cups of dough for each dumplings how many dumplings can santiago make?

Answers

Santiago can make 7 dumplings

To find out how many dumplings Santiago can make, we need to divide the total amount of dough (5 11/16 cups) by the amount of dough used per dumpling (13/16 cups).

To do this, we can first convert the fractions to have a common denominator. In this case, the denominator of 13/16 is 16, so we can convert 5 11/16 to have a denominator of 16 as well:

5 11/16 = (5 * 16) + 11/16 = 80 + 11/16

Now we can divide:

(80 + 11/16) ÷ (13/16) = (80 + 11) ÷ 13 = 91 ÷ 13

So Santiago can make 91/13 dumplings. This can be simplified further to 7 dumplings. So Santiago can make 7 dumplings with 5 11/16 cups of dough.

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NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem

Answers

It’s correct because fake websites are bad in a way it is.

Solve the equation for x, explain how you found the solution. pls help me

2x + ½= 8

Answers

Move all terms not containing x
to the right side of the equation.

2x=15/2

Divide each term by 2
and simplify.

x=15/4

Exact Form: x=15/4

Decimal Form: x=3.75

Mixed Number Form: x= 3 3/4 good luck:)

Convert 12/25 and 15 /35​

Answers

12/25: 0.48
15/35: 0.428571

Answer:

12/25 = .48

15/35 = .42857143...

pls help with math!!!!

Answers

Answer:

Cubic

Step-by-step explanation:

It's cubic because the 3 on top of the n means that it's cubic. Also since it's cubic, when you graph it it will show that it's a cubic function. Hope this helps!

3
1
3
19 -3
to get 75 13)?
Which matrix post multiplies to
4​

Answers

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Find the exact values of sin (-pi/12)

Answers

I showed the solution and the answer on a piece of paper in the photo

Answer:

[tex] - 0.25881904[/tex]

Step-by-step explanation:

Use the identity

[tex] \sin( - x) = - \sin(x) [/tex]

so

[tex] \sin( - \frac{\pi}{12} ) = - \sin( \frac{\pi}{12} ) [/tex]

Use angle subtraction trig formula

[tex] \sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y) [/tex]

In order to get pi/12, we can subtract

pi/4 and pi/6.

[tex] \sin( \frac{\pi}{4} - \frac{\pi}{6} ) = \sin( \frac{\pi}{4} ) \cos( \frac{\pi}{6} ) - \cos( \frac{\pi}{4} ) \sin( \frac{\pi}{6} ) [/tex]

Simplify.

[tex] (\frac{ \sqrt{2} }{2} \times \frac{ \sqrt{3} }{2}) - ( \frac{ \sqrt{2} }{2} \times \frac{1}{2} )[/tex]

[tex] \frac{ \sqrt{6} }{4} - \frac{ \sqrt{2} }{4} [/tex]

[tex] \frac{ \sqrt{6} - \sqrt{2} }{4} [/tex]

which is about

[tex]0.25881904[/tex]

Remeber our sin is negative so our answer is

[tex] - 0.25881904[/tex]

Solve the following system of equations algebraically:
y = x² - 15x + 60
y=x-3

Answers

Since the square root of a negative number does not exist in the real numbers, there are no real solutions for x. Therefore, the system of equations has no solutions.

Define Algebric expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

What is variables and constants ?

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

To solve this system of equations algebraically, we can substitute y = x-3 into the first equation

y = x² - 15x + 60

x-3 = x² - 15x + 60

x² - 16x + 63 = 0

We know that this quadratic equation has no real solutions because its discriminant (b^2 - 4ac) is negative, so the system of equations has no real solutions.

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There were 17 students in the class at the start of the school year. During the year, three pairs of new students transferred into the class. How many students are in the class at the end of the school year?

Answers

Answer:

23

Step-by-step explanation:

a pair is 2 so 2 pairs time 3 2x3=6 so 17+6=23

23?
17 originally +2 +2 +2
6+17

Jack, Marta, Rand, Todd and 6 more students went apple picking. Every two of these 10 students pick a different number of apples. Combined, the ten students pick 45 apples. Suppose Jack and Marta pick a total of 16 apples; Marta and Rand pick a total of 15 apples; Rand and Todd pick a total of 13 apples. How many apples did Todd pick

Answers

So, Todd picked 1 apple.

We can use the information given to set up the following equations:

Let x be the number of apples Jack picked, and y be the number of apples Marta picked.

We know that x + y = 16 (Jack and Marta pick a total of 16 apples)

Let y be the number of apples Marta picked, and z be the number of apples Rand picked.

We know that y + z = 15 (Marta and Rand pick a total of 15 apples)

Let z be the number of apples Rand picked, and w be the number of apples Todd picked.

We know that z + w = 13 (Rand and Todd pick a total of 13 apples)

We know that the total number of apples picked is 45, therefore x + y + z + w = 45

We can use the equation x + y = 16 to express x in terms of y:

x = 16 - y

We can substitute this into the other equations

(16 - y) + y = 16

y + z = 15

z + w = 13

We can sum all the equations:

(16 - y) + y + y + z + z + w = 45

16 + 2y + 2z + w = 45

From the equation y + z = 15, we can substitute y = 15 - z

16 + 2(15 - z) + 2z + w = 45

16 + 30 - 2z + 2z + w = 45

46 + w = 45

w = 1

Therefore Todd picked 1 apple.

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How do you know if it is a linear exponential or quadratic graph?

Answers

Linear graphs have the following form: y = mx + b, where m is the slope of the line and b is the y-intercept.

To calculate the slope, you can use the formula m = (y2 - y1)/(x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Exponential graphs have the following form: y = ab^x, where a and b are constants. To calculate the constants, you can use the formula y = a + b^x, where (x, y) are two points on the graph and a is the y-intercept.

Quadratic graphs have the following form: y = ax^2 + bx + c, where a, b, and c are constants. To calculate the constants, you can use the formula y = ax^2 + bx + c, where (x, y) are two points on the graph and c is the y-intercept.

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What is the total area, in square inches, of the shaded sections of the trapezoid
below?
5.4 in
7.9 in
4.8 in
5 in

Answers

First:

Break the shape into parts, this shape can be broken into 3 parts.

Next :
Put the equation for each shape

Shape 1 ( left shape)
L x h
5.4 in x 4.8 in = 25.95 in

Shape 2 (middle shape)
L x H
5in x 4.8in = 24in

Shape 3 ( right shape)
L x H
7.9 in x 4.8 in = 37.92 in

Last:
Add them all up

25.95 in
+ 24in
37.92in
——————
87.87in

Answer
87.87 in 2

I hope this helped and that I was right, have a nice day.


34. The length of one side of the
square is 5 cm and the height of the
triangle is 4 cm. What is the TOTAL
area of the figure, in cm2?​

Answers

Answer:

9 is the answer in 50% sure

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