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3 years ago

What property is illustrated by 6*1=6?

1 answer:

5 0

For this case we have the following expression:
6 * 1 = 6
We observe that we have two numbers that multiplied give as a result the value of one of the numbers.
The name of this property is called identity property.
In matrices there is also the identity matrix. It is a matrix whose diagonal is formed by the number one.
Answer:
A property that is illustrated by 6 * 1 = 6 is:
identity

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What is the value of x? Enter your answer in the box. x =

Ierofanga [76]

3x + 50 = 6x -10

add 10 to each side

3x +60 = 6x

subtract 3x from each side

60 = 3x

x = 60/3 = 20

x = 20

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3 years ago

Which of the following is equivalent to the expression below for x≠6?

nata0808 [166]

Answer:

The fourth answer choice is the correct one: 2(x - 3)

Step-by-step explanation:

2x²-18x+36/x-6 should be factored, as follows:

2(x²-9x+18) / (x-6) = 2(x - 3) (x - 6) / (x - 6)

Substituting x = 6 would result in division by zero and is thus not allowed.

Remembering this, we can reduce 2(x - 3) (x - 6) / (x - 6) to 2(x - 3) for x≠6.

6 0

3 years ago

Use the correct inverse trig function to find the missing angle, round to the nearest whole number.

asambeis [7]

Answer:

61 degrees is the missing angle measure

Step-by-step explanation:

$cos^{-1} (\frac{15}{31})$ Use this equation to find the missing angle

61 degrees is the missing angle measure

If this asnwer is correct, please make me Brainliest!

4 0

3 years ago

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

A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww

Katena32 [7]

A cube is a 3d object bounded by 6 square faces.

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

a. Write an expression for the volume of the case.
volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)³

Volume = 27w³

6 0

3 years ago