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VMariaS [17]
3 years ago
14

35.5 feet long 7.25 feet wide 7.5 feet tall approx volume of the tank

Mathematics
2 answers:
bulgar [2K]3 years ago
7 0

The answer is 1,930.3125

Mumz [18]3 years ago
3 0

wouldn't you multiply all three?

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Question 10 multiple choice
vekshin1

Answer: Choice B

(x-1)(x^3+x^2+5x+6)

==========================================

Explanation:

The 1 in the upper left box means that x = 1 is a root of the original polynomial.

So this means x-1 is a factor of the original polynomial.

This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.

-----------------

The 0 in the last position of the bottom row shows we got a remainder of 0.

Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.

The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6

-------------------

So we know that (x-1) and (x^3+x^2+5x+6) are factors

Meaning that,

x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)

You can confirm this by expanding out the right hand side (distribution rule).

3 0
3 years ago
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight ident
Fudgin [204]

Answer:

a) 0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b) 0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either they last more than 1,000 hours, or they do not. Components operate independently, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

One subsystem has eight identical components, each with a probability of 0.1 of failing in less than 1,000 hours.

So 1 - 0.1 = 0.9 probability of working for more, which means that p = 0.9

a. exactly two of the four components last longer than 1000 hours.

This is P(X = 2) when n = 4. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{4,2}.(0.9)^{2}.(0.1)^{2} = 0.0486

0.0486 = 4.86% probability that exactly two of the four components last longer than 1000 hours.

b. the subsystem operates longer than 1000 hours.

The subsystem has 8 components, which means that n = 8

It will operate if at least 4 components are working correctly, so we want:

P(X \geq 4) = 1 - P(X < 4)

In which

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{8,0}.(0.9)^{0}.(0.1)^{8} \approx 0

P(X = 1) = C_{8,1}.(0.9)^{1}.(0.1)^{7} \approx 0tex][tex]P(X = 2) = C_{8,2}.(0.9)^{2}.(0.1)^{6} \approx 0

P(X = 3) = C_{8,3}.(0.9)^{3}.(0.1)^{5} = 0.0004

Then

P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0 + 0 + 0.0004 = 0.0004

P(X \geq 4) = 1 - P(X < 4) = 1 - 0.0004 = 0.9996

0.9996 = 99.96% probability that the subsystem operates longer than 1000 hours.

5 0
3 years ago
Through what faction of a circle did the minute hand turn
Korolek [52]
This is what you need i think

6 0
2 years ago
The circumference of circle a is 3 times greater than the circumference of circle
Liono4ka [1.6K]
We know, Circumference of a Circle = 2πr

In mathematical form, You can write it as:
2πr₁ = 3(2πr₂)

2π(12) = 6πr₂

24π = 6πr₂

r₂ = 4 m

In short, Your Answer would be: 4 meter

Hope this helps!
4 0
3 years ago
????????!!!!!!!!!!!!!!????
densk [106]

Answer:

B. 2106 pi mm³

Step-by-step explanation:

the solution is attached,

<h2><u>MARK ME AS BRAINLIST</u> </h2>

8 0
2 years ago
Read 2 more answers
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