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3 years ago

Pls help me I will pick brainliest answer with tape diagram

Mathematics

1 answer:

NikAS [45]3 years ago

6 0

Answer:

5mins- 300s

210mins- 12600s

5mins-3

210mins-?

300/3=12600/x

x=12600/300 x 3

=126

or 210/5=42

42x3=126

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Can someone please be generous and help me

Ugo [173]

Answer:

The point slope form is $y-y_{1} =m(x-x_{1} )$

The slope(m) can be calculated using $\frac{y-y_{1} }{x-x_{1}}$ :

$(x, y)=(4,-3)\\(x_{1} ,y_{1} )=(5,0)\\\\\frac{0-(-3)}{5-4} =\frac{0+3}{1} =\frac{3}{1} =3$

Using Point One, the point-slope form is determined as:

$y-(-3)=3(x-4)\\y+3=3(x-4)$

The y-intercept(b) can be calculated as:

$(5,0)\\y=3x+b\\0=3(5)+b\\0=15+b\\b=-15\\(0,-15)$

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3 years ago

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Answer:

The answer is 1 3/8 (B)

Step-by-step explanation:

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2 years ago

Write an equation of a line that passes through (1,1)and (6,6)

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Answer:

y=x

Step-by-step explanation:

When y=x, then the line goes up 1 and right 1.

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2 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

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2 years ago

If f(x) = 2x2 +5/(x-2), complete the following statement:

faust18 [17]

For this case we have the following function:

$f (x) = 2x ^ 2 + \frac {5} {x-2}$

By definition, we have that the domain of a function is given by all the values for which the function is defined. The given function is not defined when the denominator is zero.

So:

$x-2 = 0\\x = 2$

Thus, the function is not defined at $x = 2.$

The domain is given by all real numbers except 2.

Answer:

The domain is given by all real numbers except 2.

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2 years ago