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4 years ago

What is the L.C.Mof 6 and 12?

Mathematics

1 answer:

3241004551 [841]4 years ago

4 0

Answer:

Lcm of 6 and 12 is 12

Step-by-step explanation:

Because if you do the Lcm =

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3 years ago

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3 years ago

There is a 10% chance of the mean oil-change time being at or below the sample mean for which there is an area of 0.10 to the

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The probability that a normally distributed data with a mean of μ and a standard deviation of σ is less than a value x is given by:

$P(X\ \textless \ x)=P\left(z\ \textless \ \frac{x-\mu}{\sigma} \right)$

Given that μ = 16.5 and σ = 0.804984 and that the probability that the <span>mean oil-change time being at or below the sample mean for which there is an area of 0.10 to the left under the normal curve, then:

$P\left(z\ \textless \ \frac{x-16.5}{0.804984} \right)=0.1\\ \\ \Rightarrow P\left(z\ \textless \ \frac{x-16.5}{0.804984} \right)=P(z\ \textless \ -1.281) \\ \\ \Rightarrow\frac{x-16.5}{0.804984}=-1.281 \\ \\ \Rightarrow x-16.5=-1.281(0.804984)=-1.031 \\ \\ x=-1.031+16.5=15.47$ </span>

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4 years ago

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3 years ago

6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>

agasfer [191]

Answer:

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root. Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0 as x² - 10x + 12 = 0.

a) Identify the coefficient of the x term. It is -10.

b) take half of this result: -5

c) square this last result: (-5)² = 25.

d) Add this 25 to both sides of x² - 10x + 12 = 0:

x² - 10x + 25 + 12 = 0 + 25

e) rewrite x² - 10x + 25 as the square of a binomial:

(x - 5)² = 13

f) taking the sqrt of both sides: x - 5 = ±√13

g) write out the zeros: x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

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3 years ago

What is the L.C.Mof 6 and 12?​

What is the L.C.Mof 6 and 12?