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Zielflug [23.3K]
3 years ago
9

A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must

function. Two of the parts have a 0.79 probability of functioning, and two have a probability of 0.83. What is the overall probability that the product will function properly?
Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0

Answer:

0.430

Step-by-step explanation:

Product has four parts :

For proper functioning, each part must function :

Let the 4 parts be:

A, B, C and D

Proper functioning probability :

A and B = 0.79

C and D = 0.83

For proper functioning :

P(A) * P(B) * P(C) * P(D)

0.79 * 0.79 * 0.83 * 0.83

= 0.42994249

= 0.430

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2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 62 Second number:
polet [3.4K]

We will multiply by 26 / 31 in the first number to get second number for fraction in simplest form.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Given that;

In the fraction,

The first number = 62

The second number = 52

Let the number which can be multiply by the fraction = x

Since, The given condition is,

Multiply the first number by to get the second number.

So, We can formulate;

⇒ 62 × x = 52

Solve for x, as;

⇒ 62 × x = 52

⇒ 62x = 52

Divide by 62, we get;

⇒ x = 52 / 62

Multiply and divide by 2;

⇒ x = 26 / 31

Therefore,

We will multiply by the number 26 / 31 in the first number to get second number for fraction in simplest form.

Learn more about the fraction visit:

brainly.com/question/21428159

#SPJ1

5 0
1 year ago
Identify the percent, amount, and base in this problem.
Maksim231197 [3]
Percent = 75%
base = unknown ...the base is the number that follows " of "
amount = 30
3 0
3 years ago
Please Help me ASAP
pychu [463]

Answer:

it's 6

Step-by-step explanation:

B=7 and D=13, so 13-7= 6

3 0
2 years ago
Coach Beard has 24 softballs to use this fall. She orders 2 more buckets of softballs that have 20 in each bucket. How many soft
jek_recluse [69]

Answer:

64 softballs

Step-by-step explanation:

Coach Beard currently already has 24 softballs.

When she orders 2 more buckets with 20 in each, that's another 20 + 20 = 40 softballs added to the original 24. So, let's add these two numbers:

24 + 40 = 64

The answer is 64 softballs.

<em>~ an aesthetics lover</em>

3 0
3 years ago
Read 2 more answers
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