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3 years ago

Which of the following properties justifies the statement 3 • 5 + 3 • 6 = 3 • 5 + 6 • 3?

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer: commutative property

Step-by-step explanation:

basically the commutative property of multiplication says that it doesn't matter what order you multiply the numbers, it will all equal the same.

the rule is "ab = ba"; in numbers, this means 6×3 = 3×6

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max used 2.66 yards of wallpaper to cover 0.75 of the bathroom walls. how much wallpaper will he need to cover the entire room?

harina [27]

You will just need to multiply those two scalars together to get your total

5 0

3 years ago

How do I write- -3x+9y=-27 in slope intercept form?

Mumz [18]

The slope intercept form is like : y = mx +b that m is slope and b is y-intercept
so you can say : 9y = 3x - 27 ⇒ 9/9y = 3/9x -27/9 ⇒ y = 1/3x -3 :))
i hope this be helpful
have a nice day

4 0

2 years ago

Read 2 more answers

Answer for 91.49 - 0.7

anygoal [31]

90.89.....Is wat I got

4 0

3 years ago

I don’t really understand this?

Serga [27]

You replace the p in the given expression by -2 and the m by 3 and simplify

So its (-2)^ / 4 - 3

= 4/4 - 3

= 1 - 3 (note the division 4/4 is done first according to the order of operations rule)

= -2 answer

4 0

2 years ago

Read 2 more answers

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