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NeX [460]
3 years ago
12

The National Aeronautics and Space Administration (NASA) purchased a new solar-powered battery guaranteed to have a failure rate

of only 1 in 20. A new system to be used in a space vehicle operates on one of these batteries. To increase the reliability of the system, NASA installed three batteries, each designed to operate if the other batteries in the chain fail. If the system is operated in a practical situation, what is the probability that all three batteries would fail
Mathematics
1 answer:
Reptile [31]3 years ago
5 0

Answer:

The probability that all three batteries would fail is given as:

= 0.000125

Step-by-step explanation:

Given that the probability of the new battery failing = 1/20 or 0.05,

Therefore, the probability that all three batteries would fail is given as:

= Probability of battery A failing * Probability of battery B failing * Probability of battery C failing

= P(A)*P(B)*P(C)

= 0.05 * 0.05 * 0.05

= 0.000125

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Jensen wants to hang a mirror in his boat and put a frame around it. The mirror and frame must have an area of 19.75 square feet
Ber [7]
The third choice, 4x²+18x+0.25=0, is correct.

The frame will have the same thickness on both sides of the mirror.  Therefore we add 5+x+x to get the total length, and we have 4+x+x to get the total width. 

The area is found by multiplying the total width and total length:

A=(5+x+x)(4+x+x)
A=(5+2x)(4+2x)

Multiplying the binomials, we have:
A=5*4+5*2x+2x*4+2x*2x
A=20+10x+8x+4x²
A=20+18x+4x²

We know that the area is 19.75:
19.75=20+18x+4x²

We need quadratics set equal to 0, so subtract 19.75 from each side:
19.75-19.75 = 20+18x+4x²-19.75
0=0.25+18x+4x²


In standard form, it will be:
4x²+18x+0.25=0
6 0
3 years ago
Bethany has 28 oatmeal cookies and 36 peanut butter cookies to pack. each bag will contain only one kind of cookie,and every bag
m_a_m_a [10]
252 bags will be there.
it is the LCM of 28 and 36
8 0
3 years ago
Let f(x)=x^2- 3. 1. Show that [0, 2] is a bracketing interval for f 2. Carry out 3 iterations of the bisection method applied to
Papessa [141]

Answer:

root estimate = 1.75

error bound = 0.25

Step-by-step explanation:

f is a polynomial, so it is continuous in R (real numbers). Then you can use Bolzano's theorem.

f(0) = -3.1 < 0

f(2) = 4 - 3.1 = 0.9 > 0

Then there exists c in [0, 2], for which f(c) = 0

In the bisection method you generate a sequence x_n of approximations of a root. If you have a bracketing interval [a, b], such that

f(a) and f(b) have opposite signs, then you use  approximate the root as x_n = \frac{a+b}{2}

In this case:

x_0 = 1

f(0)

Then:

x_1=1.5\\f(1.5)0\\

x_2= \frac{(1.5 + 2)}{2}= 1.75

The error bound is half the width of the interval [1.5, 2]

|error| < 0.25

3 0
3 years ago
What is another way to write the expression ​ t⋅(14−5) ​? (t⋅14)⋅5 t⋅14−5 (t⋅14)−5 (t⋅14)−(t⋅5)
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Another way to write the expression the answer is this (t.14)-(t.5)
5 0
3 years ago
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Determine whether each set of side lengths could be the sides of a right triangle.
kvv77 [185]

Answer:

i think both of them cant be

8 0
2 years ago
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