A producer is very proud of the peaches he grows. He claims that, on average, 10% or less of his peaches in a bushel are defective. You take a sample of 400 peaches and find that 50 are defective. What is the p-value?.

The expected value of the max(X1, X2, X3) is at least 16, but less than 18. The answer is option 3.

What is expected value?

Expected value is a measure of the central tendency of a probability distribution. It is the theoretical mean of a large number of repeated trials or experiments under the same conditions.

Let Y = max(X1, X2, X3, X4, X5). Then, we want to find E(Y).

We know that the probability density function of an exponential distribution with mean 10 is \(f(x) = 1/10 e^{-x/10}\) for x >= 0.

The probability that Y is less than or equal to y is equal to the probability that all five X's are less than or equal to y. Since the X's are independent, this is equal to the product of the probabilities:

P(Y <= y) = P(X1 <= y) * P(X2 <= y) * P(X3 <= y) * P(X4 <= y) * P(X5 <= y)

Using the probability density function, we can find each of these probabilities:

P(Xi <= y) = ∫[0,y] (1/10) \(e^{-x/10}\) dx = 1 - \(e^{-y/10}\)

So, the probability that Y is less than or equal to y is:

P(Y <= y) =\((1 - e^{-y/10})^5\)

The probability density function of Y is the derivative of this expression:

f(y) = \(5(1 - e^{-y/10})^4 * (1/10) e^{-y/10}\)

Now, we can find the expected value of Y:

E(Y) = ∫[0,∞] y f(y) dy = ∫[0,∞] \(y\) \(5(1 - e^{-y/10})^4 (1/10) e^{-y/10} dy\)

This integral cannot be evaluated in closed form, but we can use numerical methods to approximate the answer. Using a calculator or computer, we find that:

E(Y) ≈ 16.11

Therefore, the expected value of the max(X1, X2, X3) is at least 16, but less than 18. The answer is option 3.

To learn more about expected value, visit the link:

https://brainly.com/question/24305645

#SPJ4

Answer:

y = 75°

Step-by-step explanation:

y and 105°

are on a straight line ,

a straight line is 180°

180 - 105 = 75°

y=75 °

I'm not sure about x hope you understand

\(\sqrt[5]2x^{6} }\) is equivalent to expression .

What does a math expression mean?

An expression is a group of terms joined together with the operations +, -, x, or, such as 4 x 3 or 5 x 2 3 x y + 17. An equation is a claim that two expressions have values that are equal, as in the example 4 b 2 = 6. This claim is made in a sentence that contains the equals symbol.

                                Expressions are made up of a number of phrases with operators in between. A mathematical equation is a pair of statements joined together by the symbol "equal to" (=). For instance, 3x-8.

expression = (2x³)²/₅

             = 2x³ ˣ ²/₅

              = 2x⁶/₅

              = \(\sqrt[5]2x^{6} }\)

Learn more about expression

brainly.com/question/14083225

#SPJ1

Answer:

The larger angle is;

Explanation:

Given that the two woods are cut to form complementary angles.

Recall that complementary angles add up to 90 degrees.

Given the two angles as;

Solving the equation for x;

Since we have the value of x, we can the substitute to find the values of each angle;

Therefore, form the values of the two angles, the larger angle is;

p=23

Is that what you needed?

Answer:

p+7 = 30

p = 23

Step-by-step explanation:

23+7 = 30

The answer of the given question based on the right angle triangle is , the height of the light pole to the nearest tenth of a foot is 9.3 feet.

A right-angled triangle, also known as a right triangle, is a triangle that has one angle equal to 90 degrees. The side opposite right angle is called hypotenuse, and other two sides is called legs. The leg opposite to a particular acute angle is known as the opposite side, and the leg adjacent to it is known as the adjacent side.

The Pythagorean theorem is a fundamental theorem that applies to all right-angled triangles. It states that square of hypotenuse of right-angled triangle is equal to sum of squares of its two legs

To determine the height of the light pole, we can use similar triangles.

Let's call height of light pole be  "x". Then we have:

(height of stop sign) / (length of stop sign's shadow) = (height of light pole)/(length of light pole's shadow)

Substituting the given values, we have:

8/12 = x/14

Simplifying this equation, we get:

x = (8/12) * 14 = 9.33 feet

Therefore, the height of the light pole to the nearest tenth of a foot is 9.3 feet.

To know more about Equation visit:

https://brainly.com/question/9312365

#SPJ1

Answer:

it should be 4 3/8 but sorry if it's wrong <3

Answer:

11/13

Step-by-step explanation:

\(y = 2x {}^{2} - 4x - 16 \\ \delta = b {}^{2} - 4ac \\ \delta = ( - 4) {}^{2} - 4(2)( - 16) \\ \delta = 16 + 128 \\ \delta = 144 > 0 \)

\(x = \frac{ - b + \sqrt{ \delta} }{2a} = \frac{4 + 12}{2 \times 2} = \frac{16}{4} = 4\)

\(x = \frac{ - b - \sqrt{ \delta} }{2a} = \frac{4 - 12}{2 \times 2} \frac{ - 8}{4} = - 2\)

\(x = 4 \: \: \: \: \: or \: \: \: \: x = - 2 \\ (x - 4) = 0 \: \: \: \: \: or \: \: \: \: \: (x + 2) = 0\)

The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

Learn more about factorial here

brainly.com/question/29183179

#SPJ4

Answer:

A caucluation he can use is adding, just add 7422 and  5570 and you should get your answer.

Step-by-step explanation:

Mario walked total 12992 steps.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Mario walked 7422 steps one day

and, he walks 5570 stops the next day.

So, the total number of steps

= 7422 + 5570

= 12992 steps

Hence, Mario walked total 12992 steps.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

m

=

0.8

¯

3

Step-by-step explanation:

Answer:

4+5\(\sqrt{2}\) ft

Step-by-step explanation:

The type o the length of the shed will be a real number and a rational number. Then the correct option is B and E.

The continuous portrayal of numerals using digits and perhaps other marks is known as a number system.

If the value of a numerical expression is terminating then they are the rational number then they are called the rational number.

Helena builds a shed in her backyard.

There is a larger section for large tools, like her lawn mower, and a smaller section for small tools.

The type o the length of the shed will be a real number and a rational number.

Then the correct option is B and E.

The complete question is attached below.

More about the number system link is given below.

https://brainly.com/question/22046046

#SPJ2

X is normally distributed with mean 5 and standard deviation 0.4.  The value of Xo is 5.52.

To find the value of Xo, we need to convert the given probability to a z-score using the standard normal distribution.

The z-score formula is given by:

z = (X - μ) / σ

Where:

X is the observed value

μ is the mean of the distribution

σ is the standard deviation of the distribution

In this case, the mean (μ) is 5 and the standard deviation (σ) is 0.4. We are given that P(X ≤ Xo) is equivalent to P(Z ≤ 1.3), which means we need to find the value of Xo that corresponds to a z-score of 1.3.

To find the value of Xo, we rearrange the formula:

Xo = z * σ + μ

Plugging in the values, we have:

Xo = 1.3 * 0.4 + 5

Xo = 0.52 + 5

Xo = 5.52

Therefore, the value of Xo is 5.52.

To know more about value click-

http://brainly.com/question/843074

#SPJ11

Answer:

D

Step-by-step explanation:

D says four-tenths and 2 times 2 is 4 and 5 times 2 is 10 so 2/5 is equal to 4/10.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0.

Several real-world scenarios use exponential functions, including population increase, compound interest, radioactive decay, and the spread of diseases. For instance, an exponential function may be used to simulate the expansion of a bacterial population, with the rate of increase being proportional to the population size. Similarly, compound interest, which applies the rate of interest to the principal sum across a number of periods, can be represented by an exponential function.

Positive value of a vertically stretches the graph of f when a > 1 or shrinks the graph of f when a < 1. h translates the graph of f to the left when h < 0 or right when h > 0 and k translates the graph of f up when k > 0 and down when k < 0.

Learn more about exponential function here:

https://brainly.com/question/14355665

#SPJ1

Answer:

There is no real solution set for this equation

Step-by-step explanation:

We have

\(\sqrt{2x-1}+7=4\)

Move 7 to the right side:

\(\sqrt{2x-1}+7-7=4-7\\\\\sqrt{2x-1}=-3\\\\\)

If we treat 2x - 1 as a function f(x) then we are getting

\(\sqrt{f(x)} = -3\\\\\)

But the square root of a function cannot be negative for real values of x

Hence there is no real solution set

Answer:

They are not similar.

Step-by-step explanation:

They aren't the same shape. If they were the answer would be 49, but that doesn't make sense.

In simple harmonic motion, the number of cycles per second of a point is its frequency. Here's a step-by-step explanation:

For more such question on frequency

https://brainly.com/question/21807065

#SPJ11

The required manager has 12 fifty-dollar bills as of the given condition.

Let's denote the number of twenty-dollar bills as "x" and the number of fifty-dollar bills as "y".

We know that the convention manager has a total of 48 bills, so:
x + y = 48

We also know that the total amount of money she has is $1320, which can be expressed as:
20x + 50y = 1320

To solve for "y", we can rearrange the first equation to get:
y = 48 - x

Then substitute this expression for "y" in the second equation:

20x + 50(48 - x) = 1320

Expanding the expression and simplifying:
20x + 2400 - 50x = 1320
-30x = -1080
x = 36

So the manager has 36 twenty-dollar bills. To find the number of fifty-dollar bills, we can use the first equation:

x + y = 48

36 + y = 48

y = 12

Therefore, the manager has 12 fifty-dollar bills.

Learn more about equation models here:

brainly.com/question/22591166

#SPJ1

The result is 24 is a rational number.

The product of 2√6 and √24, we can simplify the square root expressions first.

First, let's simplify √6:

√6 can be further simplified as follows:

√6 = √(2 × 3)

= √2√3

Now, let's simplify √24:

√24 can be further simplified as follows:

√24 = √(4 × 6)

= √4√6

= 2√6

Now, we can find the product of 2√6 and √24:

2√6 × √24 = (2√6) × (2√6)

= 4√6 × √6

= 4(√6)²

= 4 × 6

= 24

The product of 2√6 and √24 is 24.

Let's determine whether the result is rational or irrational.

A rational number can be expressed as the ratio of two integers, whereas an irrational number cannot be expressed as such.

It can be expressed as the ratio 24/1, where both 24 and 1 are integers.

The result is rational.

For similar questions on rational  

https://brainly.com/question/30339525

#SPJ11

Therefore , the solution of the given problem of speed comes out to be Tory will never keep pace to Juan because Juan has a one-minute head start on him.

We can estimate something's pace by observing it from a distance. The amount of distance an object can move in a specific amount of time depends on its speed. Velocity is calculated using the formula velocity = distance/time. The three most popular units of speed are miles per hour (mpg), kilometres per hour (kilometres), and metres for every second (m/s) (mph).

Here,

To resolve this issue, we can use the formula distance = rate x duration.

Assume Juan runs for t minutes prior to Tory beginning to run. Juan travels 704 feet in that period of time.

Juan has already travelled 704 feet when Tory begins to sprint. Since that time, Juan and Tory have been moving at the same pace of 704 feet per minute.

Suppose Tory needs x minutes to make up to Juan. In that period of time, Tory travels 704 feet.

Juan and Tory have travelled the same distance overall because they meet at the same location. Thus, we can construct the following equation:

=> 704t = 704x

If we simplify, we get:

=> t = x

Tory will never keep pace to Juan because Juan has a one-minute head start on him.

To know more about speed , visit

brainly.com/question/2004627

#SPJ1

Answer:

hhhhs jjeguuw iiwhrbmeo

Answer:

-9?????????????????????????

Step-by-step explanation:

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

Find out more information about geometric sequence here:

brainly.com/question/11266123

Cindy's time from the total time that was covered by the whole team mates would be = 13/10.

The total number of the team mates that where involved in a relay race = 4 girls

The total number of the that was used by the whole team for the relay race = 3 11/5 minutes.

If four people = 3 11/5

1. person = X

Make X the subject of formula;

X = 3 11/5/4

= 26/5 ÷ 1/4

= 5.2/4

= 1.3

= 13/10

Learn more about fraction here:

https://brainly.com/question/28699958

#SPJ1

To find the probability that the equipment is functioning properly, we need to consider the cases where 6, 7, 8, or all 9 components are operational.

Let's calculate the probability for each case and add them together.
For 6 components to be operational, we have to choose any 6 out of the 9 components. The probability of each chosen component working is p, and the probability of each unchosen component failing is (1 - p). So, the probability for 6 operational components is (9 choose 6) * \(p^6 * (1 - p)^3.\)
Similarly, for 7 operational components, the probability is (9 choose 7) \(* p^7 * (1 - p)^2.\)
For 8 operational components, the probability is (9 choose 8) * \(p^8 * (1 - p).\)
Lastly, for all 9 components to be operational, the probability is\(p^9.\)
Adding up these probabilities will give us the overall probability that the equipment is functioning properly.

To know more about functioning visit:

brainly.com/question/13139976

#SPJ11