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bazaltina [42]
3 years ago
8

Solve for a. 4a+5=2+3.5a

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

a =-6

Step-by-step explanation:

4a+5=2+3.5a

Subtract 3.5a from each side

4a-3.5a+5=2+3.5a-3.5a

.5a +5 = 2

Subtract 5 from each side

.5a +5-5 = 2-5

.5a = -3

Divide each side by .5

.5a/.5 = -3/.5

a =-6

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Answer:

a. 0.1536

b. 0.9728

Step-by-step explanation:

The probability that a component fails, P(Y) = 0.2

The number of components in the system = 4

The number of components required for the subsystem to operate = 2

a. By binomial theorem, we have;

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) is given as follows;

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

The probability that exactly 2 last longer than 1,000 hours, P(Y = 2) = 0.1536

b. The probability that the system last longer than 1,000 hours, P(O) = The probability that no component fails + The probability that only one component fails + The probability that two component fails leaving two working

Therefore, we have;

P(O) = P(Y = 0) + P(Y = 1) + P(Y = 2)

P(Y = 0) = \dbinom{4}{0} × 0.2⁰ × 0.8⁴ = 0.4096

P(Y = 1) = \dbinom{4}{1} × 0.2¹ × 0.8³ = 0.4096

P(Y = 2) = \dbinom{4}{2} × 0.2² × 0.8² = 0.1536

∴ P(O) = 0.4096 + 0.4096 + 0.1536 = 0.9728

The probability that the subsystem operates longer than 1,000 hours = 0.9728

4 0
2 years ago
What 3.405 ounces in expanded form
Y_Kistochka [10]
What you’re doing is breaking it down into its parts and writing it into an equation that way long hand.

3 + .4 + .00 + .005
7 0
3 years ago
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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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