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valkas [14]
3 years ago
9

stickers are made with the same ratio of width to length. a sticker 2 inches has a length of 6 inches. complete the table​

Mathematics
1 answer:
Ann [662]3 years ago
6 0

Answer:

2 =6

3= 9

4=12

5=15

Step-by-step explanation:

Formula is 3x

2 x 3= 6

3 x 3=9

4 x 3= 12

15/3= 5

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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  

\bf P(B)=P(X>18)=1-P(X\leq 18)=1-(1-e^{-18/24})=e^{-3/4}=0.47237

hence,

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

• If the signal has six red bulbs, what is the probability that at least one of them needs replacement at the first inspection? Assume distribution of lifetime of each bulb is independent

If the distribution of lifetime of each bulb is independent, then we have here a binomial distribution of six trials with probability of “success” (one bulb needs replacement at the first inspection) p = 0.39347

Now the probability that exactly k bulbs need replacement is

\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

5 0
3 years ago
20 POINTS!!! PLEASE HELP!!!
alex41 [277]

Answer:

Option 2

Step-by-step explanation:

It's a rotation

7 0
3 years ago
Read 2 more answers
when a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of i
Margarita [4]
Greater because a centimeter is smaller than an inch.
4 0
3 years ago
Como se hace una introduccion
Mashutka [201]
Espero que esto te ayude!.

8 0
3 years ago
Line m is represented by the equation y +2 = (x + 4). Select all equations that represent lines perpendicular to line
serg [7]

Answer

y = x + 2

hope this helped

lol

5 0
2 years ago
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