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2 years ago

Amy cut a piece of yarn 3.05 inches long for a bracelet she was making. Which length is equivalent to 3.05 inches?

Mathematics

2 answers:

Lesechka [4]2 years ago

7 0

Answer:

C. 3 1/20

Step-by-step explanation:

3.05 as a fraction = 3 1/20

Therefore the answer is C.

arsen [322]2 years ago

6 0

The answer would be c stay safe My friend I hope it’s right

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Anil wants to multiply 5, 6, and 3. Which expression could Anil write in the box to

Elis [28]

Answer:

1) 5 * 18

Step-by-step explanation:

Because 6*3 = 18

5*6*3 = 5*18

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3 years ago

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WILL REWARD Christina has already spent 2 minutes on the phone, and she expects to spend 2 more

Karolina [17]

Answer:

t=2x+ 2

Step-by-step explanation:

x is every phone call 2 is how many minutes she spends on each call The other 2 is the 2 minutes she already spended

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3 years ago

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f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

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.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

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

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

Angelina has 5 cakes. she wants to cut then inti 2/5 pieces. how many pieces will she be able to cut

atroni [7]

So pretty much you can get 2 pieces out of each cake with 1/2 left over. Now do this, 2+2+2+2+2=10 now take that 1/2 and do this .5+.5+.5+.5+.5= 2.5 now add that to the 10 and that is your answer

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3 years ago

Classify the following triangle. Check all that apply.

Maurinko [17]

Answer:

obtuse, isosceles

Step-by-step explanation:

We have two angles that have the same measure - that means two sides are equal length. That means the triangle is isosceles

We have one angle that is greater than 90 degrees - that tells us the triangle is obtuse

8 0

3 years ago