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2 years ago

Least common denominator?

Mathematics

1 answer:

Over [174]2 years ago

4 0

Answer:

$\large\boxed{(s-2)(s+2)(s-3)=(s^2-4)(s-3)=s^3-3s^2-4s+12}$

Step-by-step explanation:

$s^2-4=s^2-2^2=(s-2)(s+2)\\\\\text{used}\ a^2-b^2=(a-b)(a+b)\\\\s^2-5s+6=s^2-2s-3s+6=s(s-2)-3(s-2)=(s-2)(s-3)\\\\\text{Therefore}\ LCD(s^2-4,\ s^2-5s+6)=(s-2)(s+2)(s-3)$

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A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with

Ratling [72]

Answer:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(10.5,0.3)$

Where $\mu=10.5$ and $\sigma=0.3$

We are interested on this probability

$P(X>10.983)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>10.983)=P(\frac{X-\mu}{\sigma}>\frac{10.983-\mu}{\sigma})=P(Z>\frac{10.983-10.5}{0.3})=P(z>1.61)$

And we can find this probability using the complement rule and with excel or the normal standard table:

$P(z>1.61)=1-P(z$

8 0

3 years ago

Tonya has a box that measures 12 cm by 7 cm by 19cm. what is the volume of the box. Please help

kaheart [24]

Answer: 1,596 cubic cm. To find the volume, you need to multiply all the three sides given.

Step-by-step explanation:

12cm * 7 cm* 19cm = 1596 cm^3

4 0

2 years ago

1. what is 10% of 20? 2.What is 5% of 10?

Airida [17]

Hello,

Shall we begin?

1. what is 10% of 20? = 20 * 0.1 = 2
2.What is 5% of 10? = 10 * 0.05 = 0,5
3. What is 25% of 100? = 100 * 0,25 = 25
4. What is 15% of 50? = 50 * 0.15 = 7,5
5. What is 30% of 60? = 60 * 0,3 = 18
6. What is 50% of 80? = 80 * 0,5 = 40
7. What is 20% of 120? = 120 * 0,2 = 24
8. What is 35% of 70? = 70 * 0,35 = 24.5
9. What is 75% of 150? = 150 * 0,75 = 112.5
10. What is 60% of 90? = 90 * 0,6 = 54
11. What is 40% of 40? = 40 * 0,4 = 16
12. What is 55% of 110? = 110 * 0.55 = 60.5
13. What is 80% of 130? = 130 * 0,80 = 104

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2 years ago

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s344n2d4d5 [400]

Answer:

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3 years ago

A pair of shoes is on sale for 80% off the original price. The sale price is $60. What was the original price

ella [17]