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3 years ago

11 + 11 = 4 22 + 22 = 16 33 + 33 = ?

Mathematics

2 answers:

Kryger [21]3 years ago

7 0

Answer:

Answer will be 36

Step-by-step explanation:

11*11=4 -> (1+1)*(1+1)=4, 22*22=16 -> (2+2)*(2+2)=16. Hence, 33*33 -> (3+3)*(3+3)=36. Add the digits of 11 that will be 2. hope this helps you :)

Anon25 [30]3 years ago

4 0

Answer:

Step-by-step explanation:

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What is the mean of -71,-62,-88-38-89,15,-76

olga nikolaevna [1]

71
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88
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3 years ago

The life of a red bulb used in a traffic signal can be modeled using an exponential distribution with an average life of 24 mont

BartSMP [9]

Answer:

See steps below

Step-by-step explanation:

Let X be the random variable that measures the lifespan of a bulb.

If the random variable X is exponentially distributed and X has an average value of 24 month, then its probability density function is

$\bf f(x)=\frac{1}{24}e^{-x/24}\;(x\geq 0)$

and its cumulative distribution function (CDF) is

$\bf P(X\leq t)=\int_{0}^{t} f(x)dx=1-e^{-t/24}$

• What is probability that the red bulb will need to be replaced at the first inspection?

The probability that the bulb fails the first year is

$\bf P(X\leq 12)=1-e^{-12/24}=1-e^{-0.5}=0.39347$

• If the bulb is in good condition at the end of 18 months, what is the probability that the bulb will be in good condition at the end of 24 months?

Let A and B be the events,

A = “The bulb will last at least 24 months”

B = “The bulb will last at least 18 months”

We want to find P(A | B).

By definition P(A | B) = P(A∩B)P(B)

but B⊂A, so A∩B = B and

$\bf P(A | B) = P(B)P(B) = (P(B))^2$

We have

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hence,

$\bf P(A | B)=(P(B))^2=(0.47237)^2=0.22313$

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$\bf \binom{6}{k}(0.39347)^k(1-0.39347)^{6-k}$

<em>Probability that at least one of them needs replacement at the first inspection = 1- probability that none of them needs replacement at the first inspection. </em>

This means that,

<em>Probability that at least one of them needs replacement at the first inspection = </em>

$\bf 1-\binom{6}{0}(0.39347)^0(1-0.39347)^{6}=1-(0.60653)^6=0.95021$

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Answer:

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