What is the volume of a cylinder with a radius of 7 feet and a height of 12 feet? Use 3.14 for pi. Round your answer to the nearest hundredth​

(a) The expected value of the total volume shipped is 30,870 ft³, and the variance is 2,579,680 ft⁶, (b) Neither the expected value nor the variance would be correct.

A-To calculate the expected value of the total volume shipped, we use the linearity of expectations. Since X₁, X₂, and X₃ are independent, the expected value of the total volume is equal to the sum of the expected values of each type of container. Thus, the expected value can be calculated as follows:

E(Volume) = E(27X₁ + 125X₂ + 512X₃)

= 27E(X₁) + 125E(X₂) + 512E(X₃)

= 27 * 230 + 125 * 240 + 512 * 120

= 30,870 ft³

To calculate the variance of the total volume shipped, we need to know the variances of each type of container and whether there is any covariance between them. Since the problem statement does not provide information about covariance, we assume independence between X₁, X₂, and X₃. In that case, the variance of the total volume is equal to the sum of the variances of each type of container. Thus, the variance can be calculated as follows:

Var(Volume) = Var(27X₁ + 125X₂ + 512X₃)

= (27²)Var(X₁) + (125²)Var(X₂) + (512²)Var(X₃)

= (27² * 11) + (125² * 12) + (512² * 7)

= 2,579,680 ft⁶

b- If the variables X₁, X₂, and X₃ were not independent, the linearity of expectations and the property of variance for independent variables would not hold. The expected value calculation assumes that the variables are independent, and if this assumption is violated, the expected value calculation would no longer be correct. Similarly, the variance calculation assumes independence, and if the variables are not independent, the variance calculation would also be incorrect. Therefore, both the expected value and the variance would be incorrect if the variables X₁, X₂, and X₃ were not independent.

learn more about Expected value here:

https://brainly.com/question/29574962

#SPJ4

Answer:

-5.17 , 5 , 6 , 26 , 33 , 37

Step-by-step explanation:

the negative numbers are usually the least . All u had to do was put the other numbers from least to greatest <3

- Mark me brainliest !

Answer:

- 5.17

5

6

26

33

37

hope this helps :)

The most common error when entering a formula is to reference the wrong cell in the formula.

This error occurs when the cell references within a formula do not match the intended cells. It can lead to incorrect calculations and produce unexpected results. For example, if a formula is supposed to use data from cell A1 but mistakenly refers to cell B1, the calculation will be based on the wrong data. It is important to double-check and ensure that the cell references in a formula accurately reflect the intended data sources to avoid this common mistake.

Know more about cell references here:

https://brainly.com/question/31171096

#SPJ11

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

The probability of a Type II error is represented by beta. Thus, the correct answer is option B.

Beta represents the probability of failing to reject the null hypothesis when it is false.

On the other hand, Type I error (alpha) represents the probability of rejecting the null hypothesis when it is true. A Type II error occurs when a false null hypothesis is not rejected. Hence, beta is the probability of making a Type II error.

The null hypothesis is rejected when the p-value is less than or equal to the level of significance, not exceeds it.

The p-value is the probability of obtaining a result as extreme as or more extreme than the observed result when the null hypothesis is true. If the p-value is less than the level of significance, the null hypothesis is rejected, and vice versa.

Hence, the statement "The null hypothesis is rejected when the p-value exceeds the level of significance" is false.

To know more about probability visit

https://brainly.com/question/13604758

#SPJ11

Answer:

2nd Column: \(\frac{39-78}{25-59}\)

3rd Column:\(1.56\)

Step-by-step explanation:

2) For this, just follow the formula given underneath the chart.

3) Here, simplify the equation used in the 2nd Column.  \(\frac{39-78}{25-50} = \frac{-39}{-25} = -1.56\)

Answer:

x-intercept: (−1/2,0)

y-intercept: (0,−3/2)

Answer:

4 rows with 8 students in each

Step-by-step explanation:

4x8=32

The probability of getting a sample average of 93 or more customers, if the manager had not offered the discount, is zero.

To calculate the probability of obtaining a sample average of 93 or more customers if the manager had not offered the discount, we need to use the concept of sampling distributions and the Central Limit Theorem.

Given that the underlying distribution of the number of customers is normal, with an average of 22 and a standard deviation of 6, we can calculate the standard deviation of the sample mean (also known as the standard error) using the formula:

Standard Error (SE) = Standard Deviation / √(Sample Size)

In this case, the sample size is 5 (for the 5-weekday period), so the standard error is:

SE = 6 / √5 ≈ 2.683

Next, we can calculate the z-score for a sample average of 93 using the formula:

z = (Sample Average - Population Mean) / Standard Error

z = (93 - 22) / 2.683 ≈ 26.359

Finally, we can use the standard normal distribution table or a calculator to find the probability associated with this z-score:

P(Sample Average ≥ 93) = P(z ≥ 26.359)

Since the z-score is extremely large, the probability associated with it is essentially zero.

Learn more on probability here;

https://brainly.com/question/251701

#SPJ4

Answer:

try and find out

Step-by-step explanation:

Triangle GHI is an isosceles triangle. H is the vertex. If the measure of H is 73 degrees what is the measure of G? A.73 B.17 C.34 D.104 A)73 degrees?

Answer:

what the question?????

Answer:

-9+30x

Step-by-step explanation:

-3 x 3 is -9

-3 x -10x is 30x

Answer:

-9 + 30x

Step-by-step explanation:

Like you mentioned, to solve this expression we need to use the distributive property...

We have to distribute -3 to 3 and -10x.

When multiplying negative and positive numbers it is important to know that...

-negative times negative equal positive

-negative times positive equal negative

-3 · 3 = -9

-3 · -10x = 30x

Therefore the answer is -9 + 30x

Hope this helps! Let me know if you have any further questions :D

Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

To know more about value click here

brainly.com/question/30760879

#SPJ11

Given data:

The options in the probelm.

The first option expression is,

Here, negative sign shows the parabola is oppen down and vertix is (3,-1).

Thus, first option is correct.

Answer:

Number of Walks | Amount Left to Raise

0             | $594

1             | $581

2             | $568

3             | $555

4             | $542

5             | $529

Pattern Rule: The amount left to raise decreases by 13 each time the number of walks increases by 1.

Expression: Let n = the number of walks. Amount left to raise = 594 - 13n

After 2 walks, there is $568 left to raise. You know this because 2 multiplied by 13 (the number subtracted for each walk) is 26. Subtract 26 from 594 to get 568.

The expression is always positive Philip's statement is always true.

The expression -p + 5 + p can be written as -p + 5 + p = -p + p + 5,

which simplifies to 5, no matter what the value of p is.

An expression is a mathematical phrase that can contain numbers, variables, and operations such as addition, subtraction, multiplication, and division. Expressions may or may not have an equal sign. Expressions can be evaluated by replacing any variables with specific values and then simplifying the resulting expression using the order of operations.

Therefore, the expression is always positive and Philip's statement is correct.

To learn more about Expression :

https://brainly.com/question/1859113

#SPJ11

Answer:

Step-by-step explanation:

Volume of pyramid = Base area * height

                              = 41.57 * 10

                               = 415.7 cubic inches

The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the amount by which a bacterial cell is smaller than the amoeba cell

Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)

The length of a bacterial cell in scientific notations is 5 × 10^(- 6)

To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.

= 3.5 × 10^(- 4) / 5 × 10^(- 6)

= 0.7 × 10^(2)

= 7 × 10^(1)

Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.

To learn more about the scientific notations, visit here:

https://brainly.com/question/10401258

#SPJ4

Answer:

the (X) is 4 so that means both of X's are 4 and u need to choose 4

Step-by-step explanation:

X=4

Answer:

no

Step-by-step explanation:

preguntaste si alguien te podia ayudar y no puedo. gracias por su comprensin

Answer:

10

please mark brainiest

For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.

A right triangle, right-angled triangle, or more formally an orthogonal triangle—previously known as a rectangled triangle—is a triangle with one angle that is a right angle (i.e., a 90-degree angle), meaning that two of its sides are perpendicular. The foundation of trigonometry is the relationship between the sides and other angles of a right triangle.

The hypotenuse is the side that faces the right angle (side c in the figure). Legs are the sides that are next to the right angle (or catheti, singular: cathetus). Side a can be thought of as the side that is adjacent to angle B and opposite to (or opposite) angle A, whereas side b is the side that is adjacent to angle A and opposite to angle B.

Given a right triangle with base = 8 and an angle = 24°

Using angle sum property of triangle

24 + 90 + angle L = 180

L = 66°

Using Sohcahtoa

Tangent: tan(θ) = Opposite / Adjacent

tan(24°) = LK/8

0.445 = LK/8

LH = 8 × 0.445

LK = 3.56

LM = \(\sqrt{MK^2 + LK^2}\)

LM = \(\sqrt{8^2 + 3.56^2}\)

LM = 8.75

Thus, For the given right triangle, L = 66°, LK = 3.56, and the hypotenuse, LM = 8.75.

Learn more about right triangle

https://brainly.com/question/4364353

#SPJ1

Answer: About 0.2 gallons

Step-by-step explanation: 4/18=0.2 repeating, so each person gets about 0.2 gallons.

Each of her friend will get 4 and a half gallons of juice.

Division is one of the four main arithmetical operations by which we find the equal distribution of something.

Given that, At Lara's party, 4 gallon of fruit punch are shared equally among 18 friend.

To find how much each of them got, we will divide total amount of punch  by total number friends

Amount of juice each of them gets, = 18/4 = 4.5

Hence,  Each of her friend will get 4 and a half gallons of juice.

For more references on divisions, click;

https://brainly.com/question/21416852

#SPJ2

Answer: answer is 1

Answer:

$6.00

$24.00

$112.00

$625.00

Step-by-step explanation:

All you have to do is multiply each number by .05

Answer:

2x^2 + 13x + 15

Step-by-step explanation: