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3 years ago

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Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

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Step-by-step explanation:

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The volume of a shampoo filled into a container is uniformly distributed between 370 and 385 milliliters. (a) What are the mean

Olenka [21]

Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

Step-by-step explanation:

(a)The mean:

$\mu = \frac{385 + 370}{2} = 377.5 ml$

The standard deviation:

$\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33$

(b)

$P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333$

(c)P(x > m) = 0.95

$\frac{m - 370}{385 - 370} = 0.95$

$m - 370 = 14.25$

$m = 384.25ml$

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

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4 years ago

If -<br> 3- 12, what is the value of x?<br> 4<br> 00<br> O 18<br> 0 24

malfutka [58]

Answer:

Step-by-step explanation:

$\frac{2}{3}$ = $\frac{x}{12}$

We make the denominator the same by multiplying $\frac{2}{3}$ by 4.

$\frac{8}{12}$ = $\frac{x}{12}$

Thus, x = 8.

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3 years ago

What are transformation possible to change f(x) to g(x) on graph linear equation

Korolek [52]

Answer:

<h2>Vertical stretch or compression and vertical shift.</h2>

Step-by-step explanation:

When we talk about the transformation of functions, we can mention stretching, rotating, dilating, shifting. However, when we want to transform linear functions, there are only two transformations that are worthy in that case, those are vertical stretch or compression and vertical shift.

Now, you may ask, why only vertical transformation? the reason behind that is because horizontal transformation would give the exact same result because it's only a straight line which we are transforming.

Another common question would be, why only two transformations? it's because with these two you can get all the results because it's a straight line.

The image attached shows examples of this.