A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=12, p=0.1, xs4 The probability of xs4

Answers

Answer 1

The probability of getting 4 successes in 12 trials, given a probability of success of 0.1, is approximately 0.0218 or 2.18%.

The number of independent trials is 12 and the probability of success in one trial is 0.1. The probability of x successes in the n independent trials of the experiment is given by the binomial probability formula: P(x) = C(n,x) * p^x * (1-p)^(n-x)where P(x) is the probability of x successes, C(n,x) is the number of combinations of n things taken x at a time, p is the probability of success in one trial, and (1-p) is the probability of failure in one trial.To find the probability of x successes in n independent trials of the experiment where n = 12, p = 0.1 and x = 4, we substitute these values into the binomial probability formula:P(x = 4) = C(12,4) * (0.1)^4 * (0.9)^8P(x = 4) = (495) * (0.0001) * (0.43046721)P(x = 4) = 0.02184533Therefore, the probability of x successes in the n independent trials of the experiment where n = 12, p = 0.1, and x = 4 is 0.02184533. This means that the probability of getting 4 successes in 12 trials, given a probability of success of 0.1, is approximately 0.0218 or 2.18%.

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Related Questions

What is the distance between (6,6) and (4,8)

Answers

d= √212 = 14.560219778561036

Please help me out... ;-;
What is the area of this trapezoid?

Please help me out... ;-;What is the area of this trapezoid?

Answers

Answer:

3795 ft

Step-by-step explanation:

LxWxH

Answer:

209 sq. ft

Step-by-step explanation:

Vx-8

Solve:
Cube square root x^2 - 8 = 2
X = -4
X= 4
x = -4 or x= 4
no real solution

Vx-8Solve:Cube square root x^2 - 8 = 2X = -4X= 4x = -4 or x= 4no real solution

Answers

Answer:

x = 4 or x = -4 is your answer

A bug begins to crawl up a vertical wire at time t = 0. The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? a. 2
b. 4
c. 6.5
d. 7

Answers

The bug changes direction at t = 4. This can be answered by the concept of velocity.

To determine when the bug changes direction, we need to find when its velocity changes sign from positive to negative. From the graph, we see that the bug's velocity is positive for t < 4 and negative for t > 4. Therefore, the bug changes direction at t = 4.

To verify this, we can look at the behavior of the bug's velocity as it approaches t = 4. From the graph, we see that the bug's velocity is increasing as it approaches t = 4 from the left, and decreasing as it approaches t = 4 from the right. This indicates that the bug is reaching a maximum velocity at t = 4, which is when it changes direction.

Therefore, the bug changes direction at t = 4.

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Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!! URGENT !!!!!!!!!!!!!!!!!!!

Please answer correctly !!!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!! URGENT !!!!!!!!!!!!!!!!!!!

Answers

Answer:

how do you do this math ?

Step-by-step explanation:

I’m pretty sure it’s 4

Evaluate the function.
f(x) = 2x² – 3x – 1
Find f(8)

Answers

F(8)= 103
F(8)=2(8)^2-3(8)-1

Given ~

\( \tt \: f(x) = 2x² – 3x – 1\)

\( \: \)

put the value of x=8 in given function ~

\( \tt \: f(8) = 2 ({8})^{2} - 3(8) - 1\)

\( \: \)

\( \tt \: f(8) = 2 (64) - 3(8) - 1\)

\( \: \)

\( \tt \: f(8) = 128 - 24 - 1\)

\( \: \)

\( \tt \: f(8) = 104 - 1\)

\( \: \)

\( \underline { \boxed{ \tt \red{f(8) = 103}}}{ \green ✓}\)

\( \: \)

hope helps ~

how do you do 7 and 6?

how do you do 7 and 6?

Answers




180 degrees: (x,y)->(-x,-y)
90 degrees cc: (x,y)->(-y,x)

translating up and down= y axis
translating left and right= x axis

whenever it’s asking up or right, add
whenever it’s asking down or left, subtract

so with this information,

6. A’(6,-6) B’(8,-11) C’(-7,-13)
7. A’(-20,-16) B’(-18,-11) C’(-23,-9)

A family fair went to the fair and paid $24 for 2 adult tickets and 2 youth tickets. A youth ticket is half the price of an adult ticket. How much did a youth ticket cost?

Answers

Answer:

Youth tickets = $4

Step-by-step explanation:

Let x and y represent the price of adults and youth tickets respectively;

Given;

A youth ticket is half the price of an adult ticket

y = 0.5x ......1

They paid $24 for 2 adult tickets and 2 youth tickets.

2y + 2x = 24 ......2

Substituting equation 1 into 2;

2(0.5x) + 2x = 24

x + 2x = 24

3x = 25

x = 24/3 = 8

Since, y = 0.5x

y = 0.5(8) = 4

Adult tickets = $8

Youth tickets = $4

Select one of the four properties—commutative, associative, identity, distributive—to explain how you remember the rule for multiplication and division. Then, explain how the rule is similar or different with addition and subtraction.

Answers

Changing the order of the factors does not change the product, according to the commutative property of multiplication.

What is cumulative property?

Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.

The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.

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. Alexandro, o professor de Física, avisou aos alunos que a média bimestral seria calculada conforme o seguinte critério: Adicionam-se as notas obtidas no projeto, na prova e no trabalho em grupo e divide-se o resultado obtido por três. Laura é uma das alunas do professor Alexandre. As notas de Laura: Projeto: 5,0 Prova: 6,5 trabalho em grupo: 9,5. A) Por que o resultado deve ser dividido por 3?

Answers

Answer:

É necessário dividir por 3 para calcular a média simples das 3 notas.

Média = 7.

Step-by-step explanation:

O resultado deve ser dividido por três porque três notas com pesos iguais (projeto, prova e trabalho em grupo) foram somadas, portanto para calcular a média bimestral de Laura, a soma das três notas deve ser dividida por 3. A média de Laura é:

\(M=\frac{5,0+6,5+9,5}{3}\\ M=7\)

. If WX= 14 and WR = 8, find RZ.

X

Y

W

Z

I

What is the measure of RZ Round to the nearest tenth

R

Answers

The measure of RZ is approximately 2.3 units.

Given that WX = 14 and WR = 8, we need to find the measure of RZ in the expression RZ.XYWZI.

First, we observe that WX is multiplied by R to get the value 14. Therefore, we can set up the equation WR = WX/R and substitute the given values to solve for R.

8 = 14/R

Cross-multiplying gives us:

8R = 14

Dividing both sides by 8:

R = 14/8 = 1.75

Now, we substitute the value of R into the expression RZ.XYWZI.

RZ = R/XYWZI = 1.75/XYWZI

Since we don't have any further information about the value of XYWZI, we cannot simplify the expression any further. Thus, the measure of RZ is approximately 1.75/XYWZI.

The given information does not provide enough details to determine the exact value of RZ. The expression RZ.XYWZI is dependent on the value of XYWZI, which is not specified.

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For f(x)=-7x -15, find f(x) when x=2.

91

b. -29

a.

-22

d. -1

Answers

Step-by-step explanation:

for f(x) = -7x - 15

f(2) = -7(2) - 15

f(2) = -14 - 15

f(2) = -29

The 12 sided polygon shown is regular. Suppose the polygon is rotated counter-clockwise about its center so that AB maps onto FG. What is the angle or rotation?

The 12 sided polygon shown is regular. Suppose the polygon is rotated counter-clockwise about its center

Answers

Answer:

210 degrees

Explanation:

In symmetrical rotation i.e for the polygon to appear to be in the same place

The angle of rotation = 360/number of sides of the polygon

Number of sides=12

Therefore, Angle of rotation = 360/12=30 degrees

For AB to map onto FG, the polygon will have been rotated symmetrically seven times.

Therefore, the angle of rotation such that AB maps onto FG

= 30 x 7

= 210 degrees.

A sphere has a radius of 5 inches. What is its volume?
Sphere V=
WIT
4
72
3
1. Substitute the radius into the formula:
V=4(5)
V = (125)
2. Evaluate the power,
3. Simplify:
V=
it in, 3

Answers

Answer:

500/3

Step-by-step explanation:

just did it on edg!

Consider a situation where Ron (R) and Nancy (N) have demands for a private good that can be represented by the following functions: D_R: Q_


= 8-2P_R D_N: Q_N = 7- P_N If Ron and Nancy are the only two consumers of this private good and the supply function for the good is: S:Q=−1+P What is the aggregate quantity of the good they buy?

Answers

The aggregate quantity of the good that Ron and Nancy buy is 6 units.

To find the aggregate quantity, we need to determine the equilibrium quantity where the demand and supply functions intersect. The demand functions for Ron and Nancy are given as \(D_{R}\): \(Q_{R}\)= 8 - 2\(P_{R}\)  and \(D_{N}\): \(Q_{N\) = 7 - \(P_{N}\), respectively. The supply function is S: Q = -1 + P.

To find the equilibrium quantity, we set the quantity demanded equal to the quantity supplied:

\(Q_{R}\) + \(Q_{N\) = Q

Substituting the demand and supply functions, we have:

(8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = -1 + P

Simplifying the equation, we get:

15 - 2\(P_{R}\)  - \(P_{N}\) = -1 + P

Rearranging the equation, we have:

\(P_{R}\)  + \(P_{N}\) + P = 16

Since the total price is equal to 16, we know that the aggregate quantity is equal to the sum of the quantities demanded:

Q = \(Q_{R}\) + \(Q_{N\) = (8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = 15 - 2\(P_{R}\)  - \(P_{N}\)

Substituting the values of \(P_{R}\)  = \(P_{N}\) = 5 into the equation, we find:

Q = 15 - 2(5) - 5 = 6

Therefore, the aggregate quantity of the good that Ron and Nancy buy is 6 units.

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Suppose the real risk-free rate is 2.85% and the future rate of inflation is expected to be constant at 2.10%. What rate of return would you expect on a 1-year Treasury security, assuming the pure expectations theory is valid? Include cross-product terms, i.e., if averaging is required, use the geometric average. (Round your final answer to 2 decimal places.)
a. 5.01% b. 2.85% c. 4.95% d. 2.91% e. 2.16%

Answers

Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

question in link below

question in link below

Answers

Answer:

105

Step-by-step explanation:

2x17=34

17x2.5=42.5

1.5x17=25.5

1/2x2x2x1.5=3

34+42.5+25.5+3=105

Answer Po Ba Ay 11.33?

Step-by-step explanation:

Calc

24) A park has a sandbox in a shape of a quadrilateral. Christian wants to create a smaller sandbox at his backyard
having the same angles as the park sandbox.

(Drawings of both sandboxes are shown above)
What is the perimeter, in feet (ft), of Christian's sandbox?

SHOW ALL WORK!!

24) A park has a sandbox in a shape of a quadrilateral. Christian wants to create a smaller sandbox at

Answers

The perimeter of the Christian's sandbox is 24 feet.

The given two quadrialterals are similar

Let us find the remaining lengths of Christian's sandbox

By proportional equation

36/8=18/x=27/y=18/z

4.5=18/x=27/y=18/z

x=18/4.5 = 4

y=27/4.5 = 6

z=4

The perimeter is sum of all the sides

So perimeter of Christian's sandbox is 8+6+4+4

24 feet

Hence, the perimeter of the Christian's sandbox is 24 feet.

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What is the answer 50% of 56=

Answers

Answer:

50% of 56=28

Step-by-step explanation:

Answer:

50% of 56 = 28

Step-by-step explanation:

50% of 56 = 28

Solve for w: 7w≤ -42

Answers

Answer:

w≤−6

Step-by-step explanation:

Yur welcome :)

Answer:

w is less than or equal to -6.

Step-by-step explanation:

Find the value of x.
(x + 12)
(x -9)

Find the value of x.(x + 12)(x -9)

Answers

Answer:

find the value of ×

× +23)

Step-by-step explanation:

(×+25)

(×+12)

How do collisions between molecules transfer energy from a system of


reacting substances to its surroundings?


O A. They cause the thermal energy of the surroundings to decrease.


O B. They cause molecules to flow into the system from the


surroundings.


C. They cause heat to flow from the system to the surroundings.


O D. They cause the potential energy of the system to increase

Answers

C. They cause heat to flow from the system to the surroundings.

In summary, collisions between molecules transfer energy from a system of reacting substances to its surroundings by causing heat to flow from the system to the surroundings.

When molecules collide within a system of reacting substances, they can transfer kinetic energy through the collision. As a result, the high-energy molecules in the system can collide with lower-energy molecules in the surroundings, transferring their energy to the surroundings in the form of heat.

This heat transfer occurs as molecules gain or lose energy during collisions, leading to an overall transfer of thermal energy from the system to the surrounding environment. Thus, collisions between molecules facilitate the flow of heat from the system to the surroundings, resulting in an exchange of energy.

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suppose a group of twelve (12) people consists of five (5) men and seven (7) women. how many five-person (5-person) teams out of this group of 12-people contain at most one man? 175 196 771 21 210

Answers

Answer: There are 196 different five-person teams that can be formed from the given group of 12 people, with at most one man in each team.

Step-by-step explanation:

We need to find the number of five-person teams that can be formed out of the given group of 12 people, such that at most one man is included.

We can approach this problem by counting the number of teams that have zero men, one man, and four women.

Number of teams with zero men = (number of ways to choose 5 women from 7) = 21

Number of teams with one man = (number of ways to choose 1 man from 5) × (number of ways to choose 4 women from 7) = 5 × 35 = 175

Therefore, the total number of five-person teams that can be formed with at most one man is:

Number of teams = Number of teams with zero men + Number of teams with one man = 21 + 175 = 196

Therefore, there are 196 different five-person teams that can be formed from the given group of 12 people, with at most one man in each team.

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Question 3 Let X1, X2,..., Xn be independent random variables, each having a uniform distri- bution over (0,1). Let M = maximum (X₁, X₂,..., Xn). Show that the distribution function of M, FM(-), is given by FM(x)=x, 0≤x≤1 What is the probability density function of M?

Answers

The distribution function of M, FM(-), is given by FM(x) = x, 0 ≤ x ≤ 1.

The probability density function of M is\(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

In order to understand the distribution function of M, we need to consider the probability that M is less than or equal to a given value x. Since each Xi is uniformly distributed over (0,1), the probability that Xi is less than or equal to x is x.

For M to be less than or equal to x, all of the random variables Xi must be less than or equal to x. Since these variables are independent, their joint probability is the product of their individual probabilities. Therefore, the probability that M is less than or equal to x can be expressed as the product of n x's: P(M ≤ x) = x * x * ... * x = \(x^n\).

The distribution function FM(x) is defined as the probability that M is less than or equal to x. Therefore, FM(x) = P(M ≤ x) = \(x^n\).

To find the probability density function (PDF) of M, we differentiate the distribution function FM(x) with respect to x. Taking the derivative of \(x^n\)with respect to x gives us \(n * x^(^n^-^1^)\). Since the range of M is (0,1), the PDF is defined only within this range.

The distribution function of M is FM(x) = x, 0 ≤ x ≤ 1, and the probability density function of M is \(fM(x) = n * x^(^n^-^1^)\), 0 ≤ x ≤ 1.

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Use the normal approximation to find the indicated probability.
The sample size is n, the population proportion of successes is p,
and X is the number of successes in the sample.
n = 84, p = 0.4: P(X> 26)

Answers

The indicated probability is 0.07548.

When can we use the normal approximation to the binomial distribution?

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with , as long as .

\(E(X) = np\\\\Var(X) = np(1-p)\)

we have that:

n = 84, p = 0.4: P(X> 26)

np = 84 x 0.4 = 33.6

n(1 - p) = 84 x 0.6 = 50.4 .

we can use the online binomial probability distribution calculator :

P(X≥ 26 ) = 0.07548

Hence the indicated probability is 0.07548.

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Using the method of calculating remainders for one full cycle of exponents, find the remainders when dividing a by b for each of the following examples: 1) a = 1015, b = 7 2) a = 1521, b = 11

Answers

Using the method of calculating remainders for one full cycle of exponents, the remainders when dividing 1015 by 7 and 1521 by 11 are 4 and 2, respectively.

To find the remainders when dividing a number by another number, we can utilize the concept of remainders in modular arithmetic. For example, let's consider the first example where a = 1015 and b = 7. We begin by calculating the remainders of successive powers of 1015 modulo 7. We start with \(1015^0\) = 1 mod 7, \(1015^1\) = 1015 mod 7,\(1015^2\) = 1015 * 1015 mod 7, and so on. By observing the pattern of the remainders, we notice that it repeats after a certain number of powers. In this case, the remainders repeat every six powers. Therefore, we need to find the remainder when dividing the exponent (1015) by six. Since 1015 divided by six leaves a remainder of 5, we can look up the fifth remainder in the repeating pattern, which is 4. Thus, when dividing 1015 by 7, the remainder is 4.

Similarly, for the second example where a = 1521 and b = 11, we calculate the remainders of successive powers of 1521 modulo 11. The pattern of remainders repeats after a cycle of ten powers. Dividing 1521 by ten gives a remainder of one, which means we need to look up the first remainder in the repeating pattern. In this case, the remainder is 2. Thus, when dividing 1521 by 11, the remainder is 2.

By employing the method of calculating remainders for one full cycle of exponents and identifying the repeating patterns, we can efficiently find the remainders when dividing a by b for various examples.

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The left and right y-axes are in opposite directions because:.

Answers

A high proportion of one allele of a gene indicates a low proportion of the other.

12 Rose and Haydn share £250 in the ratio 2:3
Rose gives all her share of the money to charity.
Haydn gives 42% of his share of the money to charity.
Rose gives more money to charity than Haydn gives to charity.
Work out how much more.

Answers

Answer:

Amount = £37

Step-by-step explanation:

Let Rose be represented by R.

Let Haydn be represented by H.

Given the following data;

Total amount = £250

Ratio of R:H = 2:3 = 2 + 3 = 5

To find how much Rose earned;

R = 2/5 * 250

R = 500/5

R = £100.

For Haydn;

H = 3/5 * 250

H = 750/5

H = £150

Next, we calculate the amount Haydn gave to charity;

Percent = 42% = 42/100 = 0.42

H = 0.42 * 150

H = £63

To find how much more Rose gave to charity than Haydn;

Amount = R - H

Amount = 100 - 63

Amount = £37

Puppies have 28 teeth and most adult dogs have 42 teeth. Find the prime
factorization of each number. Write the result using exponents.

Answers

Answer:

28= 14 to the second power

42 = 14 to the third power

Step-by-step explanation:

Hi there!

»»————- ★ ————-««

I believe your answer is:

28 = 14^3

42 = 14^3

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.

Question 5
Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20
respectively
Given that Davina gets 48 sweets, how many sweets did Nikhil get?
sweets

Answers

Nikhil gets 32 sweets because:

8:12:20
If Davina gets 48 we do 48 divide by 12 which is 4.

So in the ratio we know Nikhil =8
8x4=32
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