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Neko [114]
3 years ago
12

Brainliest will mark

Mathematics
1 answer:
marshall27 [118]3 years ago
3 0
The answer would be the second option B) because we can cross out A) and D) since those are multiplication, and it's not C) because that's commutative property, not associative.
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Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm an
marusya05 [52]

Answer:

The probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

Step-by-step explanation:

The complete question is:

Suppose that the thickness of one typical page of a book printed by a certain publisher is a random variable with mean 0.1 mm and a standard deviation of 0.002 mm Anew book will be printed on 500 sheets of this paper. Approximate the probability that the thicknesses at the entire book (excluding the cover pages) will be between 49.9 mm and 50.1 mm. Note: total thickness of the book is the sum of the individual thicknesses of the pages Do not round your numbers until rounding up to two. Round your final answer to the nearest hundredth, or two digits after decimal point.

Solution:

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e S, will be approximately normally distributed.  

Then, the mean of the distribution of the sum of values of X is given by,  

 \mu_{S}=n\mu

And the standard deviation of the distribution of the sum of values of X is given by,  

\sigma_{S}=\sqrt{n}\sigma

The information provided is:

n=500\\\mu=0.1\\\sigma=0.002

As <em>n</em> = 500 > 30, the central limit theorem can be used to approximate the total thickness of the book.

So, the total thickness of the book (S) will follow N (50, 0.045²).

Compute the probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm as follows:

P(49.9

                               =P(-2.22

Thus, the probability that the thicknesses at the entire book will be between 49.9 mm and 50.1 mm is 0.97.

6 0
3 years ago
A steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinat
Vera_Pavlovna [14]

Answer:

5.6 cm

Step-by-step explanation:

Given that a steel woodworking blade is created from a rectangular mold with vertices at (0, 0), (0, 1), (4, 0), and (4, 1). (All coordinates are in centimeters). At each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate. 

The x axis or the horizontal length will be L = (1 - 0)^2 + ( 0 - 0 )^2

L = 1 cm

The y axis or the vertical length will be

L = sqrt ( [ 4-0]^2 + [0-0]^2)

L = Sqrt(16)

L = 4 cm

Given that at each point of the blade, the thickness, in milimeters, is equal to twice the y-coordinate.

That is,

Thickness = 2 × 4 = 8 mm

The height of the balance point of the blade will be;

Height = 8 mm + 4 cm + 8 mm

Height = 0.8 + 4 + 0.8

Height = 5.6 cm

Note that the thickness will be added to both the top and the bottom of the blade.

7 0
3 years ago
A local college is forming a seven-member research committee having one administrator, three faculty members, and three students
AURORKA [14]

Answer:

1485120

Step-by-step explanation:

Since the order of arrangement does not matter, we use combination :

Recall :

nCr = n! ÷ (n-r)!r!

For administrator : 1 out of 5 :

5C1 = 5! ÷ (5-1)!1!

For faculty members : 3 out of 14 :

14C3 = 14! ÷ (14 - 3)!3!

For students : 3 out of 18 :

18C3 = 18! ÷ (18 - 3)!3!

5C1 * 14C3 * 18C3 = 1485120

4 0
3 years ago
A tire shop starts off with the same number of tires every month. In January,
7nadin3 [17]

Answer:

the answer is B

Step-by-step explanation:

4 0
3 years ago
What is 350 enlarged by 20% equal to?
Ira Lisetskai [31]

Answer:

420

Step-by-step explanation:

The first step is to convert 20% to decimal form. 20%=20/100=0.2. Now, you can multiply this by 350 to get 70. Adding this to the original value of 350, you get 350+70=420. Hope this helps!

4 0
3 years ago
Read 2 more answers
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