The weights of ice cream cartons are normally distributed with a mean weight of 7 ounces and a standard deviation of 0.3 ounces.
(a) What is the probability that a randomly selected carton has a weight greater than 7.11 ounces?
(b) A sample of 25 cartons is randomly selected. What is the probability that their mean weight is greater than 7.11 ounces?

Answer:

5xy

Step-by-step explanation:

x and y can only go into both into once

Answer:

v has only one real solution is 5

1. Newmont Mining Corporation is a mining company, but the comparison company has not been specified. Therefore, I am unable to provide specific calculations or comparisons.

2. The three ratios that determine Return on Equity (ROE) can be used to compare and contrast the ROE values of the two companies once the comparison company is selected.

3. The top three risks identified by Newmont Mining Corporation can be found in their 10-K report.

1. Without knowing the specific comparison company within the same industry, I cannot perform calculations or provide a detailed comparison of ratios. Once the comparison company is specified, financial ratios such as liquidity ratios (current ratio, quick ratio), profitability ratios (gross profit margin, net profit margin), and leverage ratios (debt-to-equity ratio, interest coverage ratio) can be calculated for both companies to assess their relative strengths and weaknesses.

2. The three ratios that determine Return on Equity (ROE) are the net profit margin, asset turnover ratio, and financial leverage ratio. These ratios can be used to compare and contrast the ROE values of Newmont Mining Corporation and the selected comparison company. The net profit margin measures the company's profitability, the asset turnover ratio assesses its efficiency in generating sales from assets, and the financial leverage ratio evaluates the extent of debt used to finance assets.  

3. To identify the top three risks identified by Newmont Mining Corporation, one would need to review the company's 10-K report. The 10-K report is an annual filing required by the U.S. Securities and Exchange Commission (SEC) and provides detailed information about a company's operations, financial condition, and risks. Within the 10-K, the "Risk Factors" section typically outlines the significant risks faced by the company. By reviewing this section of Newmont Mining Corporation's 10-K report, the top three risks identified by the company can be identified, providing insights into the challenges and potential vulnerabilities the company faces in its industry.

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Answer:

8 × 10^9

Step-by-step explanation:

hope it's helpful

Answer:

8 × 10⁹

Step-by-step explanation:

8 × 10⁹

The numbers in Z84 that are relatively prime to 84 are: 1, 5, 25, 29, 43, 47, 61, 65, 79, and 83.

To find the numbers in Z84 that are relatively prime to 84, we need to find the numbers that do not have any common factors with 84 other than 1.

First, we can factorize 84 as 2^2 * 3 * 7.

Next, we can remove all the factors of 2, 3, and 7 from the set Z84, since any number in Z84 that has any of these factors would have a common factor with 84 other than 1.

So, we are left with the set of numbers {1, 5, 25, 29, 43, 47, 61, 65, 79, 83}.

Therefore, the numbers in Z84 that are relatively prime to 84 are 1, 5, 25, 29, 43, 47, 61, 65, 79, and 83.

As a comma-separated list, the answer would be: 1, 5, 25, 29, 43, 47, 61, 65, 79, 83.

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Answer:

230

Step-by-step explanation:

20x11=220

20x0.5=10

220+10=230

Answer:

I hope this Will help you

Answer:

yes your answer is

the least-squares solution of a x = b is the vector in the column space of a closest to b. then the statement is true

​ Aleast- squares solution of is a vector such that for all in .

The statement is true because the general​ least-squares problem attempts to find an that maximizes .

The above statement is actually the one that validates the least-square solution statement.

Hence , the least-squares solution of a x = b is the vector in the column space of a closest to b .then the statement is true

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Answer:

Step-by-step explanation:

The two 'slashes' on the 2 edges indicate that it's an isosceles triangle ( the base angles are equal)

Total angles in a triangle = 180.

Thus,

3x + 4x+2+4x+2= 180.

11x+4=180

11x=176

Therefore, x= 16°

Thus,

3x = 3(16) = 48°

The (4x+2)'s =

4(16)+2

=66° each.

Hope this helps! :)

Step-by-step explanation:

y'' = sinx

y' = -cosx + k

y = -sinx  + kx + c       if  y(0) = 0    then  c = 0

y = - sin x  + kx    Where k is a constant

The number of paper newsletters the school needed is given by the equation A = 149.5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of paper newsletters the school needed be A

Now , the equation will be

The percentage of parents who prefers newsletters electronically = 77 %

So , percentage of parents who prefers paper newsletters = 100 % - 77 %

The percentage of parents who prefers paper newsletters = 23 %

The total number of parents = 650

So , the number of paper newsletters the school A = percentage of parents who prefers paper newsletters x total number of parents

Substituting the values in the equation , we get

The number of paper newsletters the school A = ( 23/100 ) x 650

The number of paper newsletters the school A = 149.5

Therefore , the value of A is 149.5

Hence , the equation is A = 149.5

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The cube root of 60 is 3.87 approximately.

Step by step solution:

We can calculate the cube root by Halley's method:

The  formula is \(\sqrt[3]{a} = x ((x^{3} + 2a)/(2x^{3} + a))\)

where,

a = number whose cube root is being calculated

x = integer guess of its cube root.

Here a = 60,

Suppose x as 3

[∵ 3³ = 27 and 27 is the nearest perfect cube that is less than 60]

⇒ x = 3

Therefore,

∛60 = 3 (3³ + 2 × 60)/(2 × 3³ + 60)) = 3.87

⇒ ∛60 ≈ 3.87

Therefore, the cube root of 60 is 3.87 approximately.

Here ,  ∛60 is irrational because it cannot be expressed in the form of p/q where q ≠ 0.

Therefore, the value of the cube root of 60 is an irrational number.

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Answer: you graph -2 at the y-axis and then you go down 3 and to the right 1 time

Step-by-step explanation:

Answer:

y= -3x -2 EQUALS 3x - y = 2

The ball will land 67.381 feet away.

Thus, option (B) is correct.

Given:

v = 62 feet / second

\(\theta\) = 15

h = 2.2 feet

Using the formula

Horizontal range = \(\dfrac{v \;cos\; \theta\; [v \;sin\;\theta + \sqrt{v^2\;sin\;\theta + 2gh]}}{g}\)

Substituting the value back into the formula as

Horizontal range = \(\dfrac{62 \;cos\; (15)\; [62 \;sin\;(15)+ \sqrt{(62\;sin\;(15))^2 + 2g*2.2]}}{g}\)

                            = 67.381 feet

Therefore, the distance is 67.381 feet.

Thus, option (B) is correct.

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The question attached here seems to be incomplete, the complete question is:

A tennis player hits the ball with an initial speed of 62 feet per second at an angle of 15", from a height of 2.2 feet. How far away does the ball land in feet? (5 points)

56.372 feet

67.381 feet

60.646 feet

47.293 feet

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

\(6000 \cdot 1.091^n > 24000\)

So \(1.091^n > 4\)

Take the log left and right:

\(\log 1.091^n > \log 4\)

use the log property that you can put the exponent in front:

\(n \cdot \log 1.091 > \log 4\)

\(n > \frac{\log 4}{\log 1.091}\)

n > 15.917

Answer:

4

Step-by-step explanation:

18/6=3

24/6=4

42/6=7 ...

Answer:

|-4x+1|>3 =  \(\:x<-\frac{1}{2}\quad \mathrm{or}\quad \:x>1\)

|x-2|+4x+4  did you right this one correctly? does it have any less than or greater than symbols?

Step-by-step explanation:

i have an explanation use Symbolab if you need one

Answer:

A) s and t.

Step-by-step explanation:

just trust me. Plus lines s and t are the only pair of lines that don't touch each other and can go on forever not touching each other.

The function y = \(x^2(x^2 - 6x + 9)\)has zeros at x = 0 and x = 3, indicating that it has distinct real zeros and no complex zeros.

The function \(y = x^2(x^2 - 6x + 9)\) has zeros at x = 0 and x = 3, indicating it has distinct real zeros and no complex zeros.

In the second paragraph, we explain the answer in 120 words: To determine the zeros of the function, we set y = 0 and solve for x.

The expression \(x^2 - 6x + 9\) can be factored as\((x - 3)^2\), so the function can be rewritten as \(y = x^2(x - 3)^2\).

This shows that the function has a zero at x = 0 (from the \(x^2\) term) and another zero at x = 3 (from the (x - 3)^2 term). Since both zeros are real and distinct, we conclude that the function has distinct real zeros.

Furthermore, there are no complex zeros because the function does not involve any complex numbers or imaginary units.

Therefore, the function \(y = x^2(x^2 - 6x + 9)\) has distinct real zeros but no complex zeros.

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Option (B) is correct. The first group will have a commuting time of 0-15 minutes, as it covers the desired range and includes the shortest commuting time of 5 minutes.

The first group will have a commuting time of 0-15 minutes. This range is selected because it covers the desired commuting time range of 5-120 minutes. Since the shortest commuting time is 5 minutes, a range starting from 0 minutes would include it. Additionally, the upper limit of 15 minutes ensures that employees with longer commuting times are not included in this group.

By placing employees with commuting times ranging from 0-15 minutes in the first group, the employment agency can create a statistical grouping that represents those who have relatively short commutes. This grouping allows for better analysis and understanding of the distribution of commuting times among the 125 employees and can aid in making informed decisions regarding job placements and other related factors.

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For every 10 games they won they lost 6:

50 wins/ 10 wins = 5

5 x 6 loses = 30 loses

50 wins + 30 loses = 80 total games

Answer: 80

Answer:

12.55

Step-by-step explanation:

Answer:

If the truck's value dropped 15% each year, after one year the value of the truck is 22000*(1-0.15) = $18700

After the second year, the value of the truck would be 18700*(1-0.15) = $15995

After the third year, the value of the truck would be 15995*(1-0.15) = $13596.75

Rounding the answer to the nearest dollar, the value of the truck after 3 years is $13597

Answer: option D. B = 59.6° or B' = 120.4°

Step-by-step explanation:

Since the law is a/sinA = b/sinB = c/sinC you can try and verify each of them, by

10/sin(B)=......

and only B = 59.6° or B' = 120.4° give you the closed to 8.2/sin(45)= 11.59655121 which was 11.59401915.

(why the closed? because the question said it is "approximated")

The values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

Triangle is a three sides two dimensional surface having three angles.

We have,

A triangle in which,

One of the angle is 45°, and the side opposite to angle 45° is 8.2 with corresponding angle B.

And the side opposite to angle B is 10.

Now,

Using the law of sine,

i.e.

\(\frac{SinA}{a} =\frac{SinB}{b} =\frac{Sin c}{c}\)

So,

According to the given triangle,

We get,

\(\frac{Sin 45^0}{8.2} = \frac{Sin B}{10}\)

We get,

\(Sin B=\frac{Sin 45^0}{8.2} *10\)

On solving we get,

⇒

\(SinB= 59.58^0\ \ or\ \ SinB= 120.42\)

i.e.

\(SinB= 59.6^0 \ \ or\ \ SinB'= 120.40\)

So,

The option C is the correct answer.

Hence, we can say that the values of angles B and B' will be 59.6° and 120.4°, i.e. option C is the correct answer.

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The growth rate of the function f(x) = [15/(1+4\(e^{(-0.2x)\))] is always increasing over its entire domain, which is the set of all real numbers (-∞, +∞).

To determine the interval over which the growth rate of the function is increasing, we need to find the derivative of the function and analyze its sign.

Let's differentiate the function f(x) with respect to x:

f'(x) = d/dx [15/(1+4\(e^{(-0.2x)\))]

To simplify the process, we can rewrite the function as follows:

f(x) = 15(1+4\(e^{(-0.2x)\))⁻¹

Using the chain rule, we can differentiate f(x):

f'(x) = -15(1+4\(e^{(-0.2x)\))⁻² × d/dx (1+4\(e^{(-0.2x)\))

Now, let's compute the derivative of the term d/dx (1+4\(e^{(-0.2x)\)):

d/dx (1+4\(e^{(-0.2x)\)) = \(4(-0.2)e^{(-0.2x)\) = \(-0.8e^{(-0.2x)\)

Plugging this back into f'(x), we have:

f'(x) = -15(1+4\(e^{(-0.2x)\))⁻² × \(-0.8e^{(-0.2x)\)

Simplifying further:

f'(x) = 12\(e^{(-0.2x)\) / \((1+4e^{(-0.2x)})^2\)

To find the interval where the growth rate of the function is increasing, we need to analyze the sign of f'(x).

Since the denominator  \((1+4e^{(-0.2x)})^2\) is always positive, we can focus on the numerator, 12\(e^{(-0.2x)\).

For the numerator to be positive, \(e^{(-0.2x)\) must be positive. Since the exponential function \(e^x\) is always positive, \(e^{(-0.2x)\) is also positive for all values of x.

Therefore, the growth rate of the function f(x) = [15/(1+4\(e^{(-0.2x)\))] is always increasing over its entire domain, which is the set of all real numbers (-∞, +∞).

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One drink of an alcoholic beverage contains approximately 100 to 150Kcal. That is option D

An alcoholic beverage is a type of beverage that contains ethanol which is also a type of alcohol.

The three main types of alcoholic beverage are beer, wine and spirits.

Alcoholic drinks contain a lot of kilojoules and have no nutritional benefits

One drink of an alcoholic beverage contains approximately 100 to 150Kcal.

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