What is the area of a circle with a radius of 13 millimeters? <br> (Use 3.14 for Pi.)

Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s

Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : $\mu=10$

Standard deviation: $s=0.50$

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: $z=\dfrac{x-\mu}{s}$

At x= 0.75, $z=\dfrac{9.25-10}{0.50}=-1.5$

$z=\dfrac{9.25-10}{0.50}=1.5$

Using standard normal table for z-value,

P-value : $p(-1.5$

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0

3 years ago

Hardcover book sales for $24 at the bookmark men days of total of $25.02 for the book what is the sales tax rate

Ber [7]

25.02-24=1.02
1.02/24=0.0425
The sales tax rate is 4.25%.

3 0

3 years ago

Which inequalities are true? Select the four correct answers.

tiny-mole [99]

The correct anwer is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

<h3>What is inequality?</h3>

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The two inequalities √4<√5<√√55 and √8<2.9<√√9. are true.

√4<√5<√√55 → 2 < 2.23 < 7.41

√8<2.9<√√9 → 2.82 < 2.9 < 3

Therefore correct answers is option C and option E which are √4<√5<√√55 and √8<2.9<√√9.

To know more about inequality follow

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6 0

2 years ago

The ratio of runners to swimmers was 3:2. When 28 runners dropped out of the competition, the ratio became 5:6. How many total s

xz_007 [3.2K]

The total of 42 swimmers are competing

Step-by-step explanation:

The given is:

The ratio of runners to swimmers was 3 : 2
When 28 runners dropped out of the competition, the ratio became 5 : 6

We need to find how many total swimmers are competing

∵ The ratio of runners to swimmers was 3 : 2

- Multiply each term of the ratio by x

∴ There are 3x runners and 2x swimmers

∵ 28 runners dropped out of the competition

∴ The number of runners who complete = 3x - 28

∵ The ratio became 5 : 6

- Equate the ratio between the new number of runners and the

number of swimmers by 5 : 6

∵ The new number of runners = 3x - 28

∵ The number of swimmers = 2x

∴ $\frac{3x-28}{2x}=\frac{5}{6}$

- By using cross multiplication

∴ 6(3x - 28) = 5(2x)

- Simplify both sides

∴ 18x - 168 = 10x

- Add 168 to both sides

∴ 18x = 10x + 168

- Subtract 10x from both sides

∴ 8x = 168

- Divide both sides by 8

∴ x = 21

∵ The number of swimmers is 2x

∵ x = 21

∴ The number of swimmers = 2(21) = 42

The total of 42 swimmers are competing

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

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7 0

3 years ago

Cost, Revenue, and Profit A company invests $98,000 for equipment to produce a new product. Each unit of the product costs $12.2

Vesnalui [34]

Given:

Investment on equipment = $98,000

Cost of each unit = $12.20

Selling price of each unit = $16.98.

To find:

(a) The total cost C as a function of x.

(b) The revenue R as a function of x.

(c) The profit P as a function of x.

Solution:

Let x be the number of units produced and sold.

We have,

Fixed cost = $98,000

Variable cost = $12.20x

Total cost = Fixed cost + Variable cost

$C(x)=98000+12.20x$

Therefore, the cost function is $C(x)=98000+12.20x$ .

Selling price of each unit = Revenue from each unit = $16.98.

Total revenue = Revenue from x units

$R(x)=16.98x$

Therefore, the revenue function is $R(x)=16.98x$ .

Profit = Revenue - Cost

$P(x)=R(x)-C(x)$

$P(x)=16.98x-(98000+12.20x)$

$P(x)=16.98x-98000-12.20x$

$P(x)=4.78x-98000$

Therefore, the profit function is $P(x)=4.78x-98000$ .

6 0

4 years ago

What is the area of a circle with a radius of 13 millimeters? (Use 3.14 for Pi.)