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2 years ago

A bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads

Mathematics

1 answer:

DerKrebs [107]2 years ago

4 0

Answer:

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Step-by-step explanation:

You might be interested in

List all the factors of 16

Natasha2012 [34]

1 x 16 , 2 x 8 , 4 x 4

4 0

2 years ago

g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed

Vladimir [108]

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

$P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)$

Recall that given events E,F the conditional probability of E given F is defined as

$P(E|F) = \frac{P(E\cap F)}{P(F)}$ , from where we deduce that

$P(E\cap F) = P(E|F)P(F)$ .

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

$P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345$

We are told to calculate P(A|D), then using the formulas we have

$P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884$

3 0

2 years ago

Estimate the perimeter and the area of the shaded figure to the nearest whole number.

soldier1979 [14.2K]

Answer:

Step-by-step explanation:

The area and perimeter of the given shaded figure are respectively 33.12 unit² and 20.56 units.

Area and perimeter-based problem:

What information do we have?

Radius of semi-circle = 8 / 2 = 4 unit

Length of remain Rectangle = 8 unit

Width of remain Rectangle = 2 unit

Perimeter of shaded figure = πr + (l + 2b)

Perimeter of shaded figure = (3.14)(4) + [4 + (2)(2)]

Perimeter of shaded figure = 12.56 + 4 + 4

Perimeter of shaded figure = 20.56 units

Area of shaded figure = πr²/2 + lb/2

Area of shaded figure = (3.14)(4)²/2 + (8)(2)/2

Area of shaded figure = (3.14)(8) + 8

Area of shaded figure = 25.12 + 8

Area of shaded figure = 33.12 unit²

5 0

1 year ago

Read 2 more answers

Shilpa bought 30 T-shirt at a clothing store. 20% of the t-shirt were blue and 1/2 of the t-shirts were black. Howmany of the t-

k0ka [10]

The number of T-shirt bought by Shilpa from a clothing store = 30
Percentage of T-shirt that were blue = 20%
Then Number of T-shirt that were blue in color = (20/100) * 30
   = 2 * 3
   = 6
Number of T-shirts that were black in color = (1/2) * 30
   = 15
Then
The total number of T-shirts that were black and blue = (15 + 6)
   = 21
Then
The total number of T-shirts that were neither black nor blue = 30 - 21
   = 9
So the number of T-shirts that were neither black nor blue was 9.

8 0

2 years ago

Solution of the equation<br> 3x/5+1=4x/15+7

Anika [276]

Answer:

x = 18

Step-by-step explanation:

Given

$\frac{3x}{5}$ + 1 = $\frac{4x}{15}$ + 7 ( subtract 1 from both sides )

$\frac{3x}{5}$ = $\frac{4x}{15}$ + 6

Multiply through by 15 to clear the fractions

9x = 4x + 90 ( subtract 4x from both sides )

5x = 90 ( divide both sides by 5 )

x = 18

4 0

2 years ago