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klio [65]
3 years ago
14

How does the number line below represent the product of a positive number and a negative number? Drag words and numbers to expla

in. Each tile may be used once, more than once, or not at all. A number line from negative 5 to 0. Start at 0. Count back three times, each time by negative 1 point 5. End at negative 4 point 5. – 1.5– 3– 4.5positivenegative The number line shows 3 • = – 4.5. The number line shows three groups of a number, which results in a product.
Mathematics
1 answer:
mina [271]3 years ago
6 0

Answer:

I cannot see the number line mentioned here, but I'll explain how you multiply negative and positive using tiles and number line.

To multiply positive and a negative nunber, for instance, 2(–3), you'll think of it as 2 groups of negative one in three's. Using tiles you have

–1 –1

–1 –1

–1 –1

Two groups of negative one in three's, adding that up we have 6.

Using number line. See 2(–3), for instance, as moving twice in intervals of –3. If I am to multiply that, starting from 0, if I move once, I'll land at –3, if I move one more time, I'll land at –6. Since I am to move twice, that's the required answer.

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6. (4.11.2) A 500-page book contains 250 sheets of paper. The thickness of the paper used to manufacture the book has mean 0.08
Maksim231197 [3]

Answer:

10.38% probability that a randomly chosen book is more than 20.2 mm thick

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums of n elements, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem, we have that:

\mu = 250*0.08 = 20, \sigma = \sqrt{250}*0.01 = 0.1581

What is the probability that a randomly chosen book is more than 20.2 mm thick (not including the covers)

This is 1 subtracted by the pvalue of Z when X = 20.2. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{20.2 - 20}{0.1581}

Z = 1.26

Z = 1.26 has a pvalue of 0.8962

1 - 0.8962 = 0.1038

10.38% probability that a randomly chosen book is more than 20.2 mm thick

3 0
3 years ago
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defon

Answer:

Your quality and RELIABLE 9mm pistol will typically run you $450–800 new with the large majority falling in the $500–600 range. Guns below that generally aren't worth purchasing outside of fun times. Guns above that generally have “extra” features that drive up the cost.

Step-by-step explanation:

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Identify the slope and Y intercept of the following graph
azamat

The slope is 3x and the y intercept is 2 so it should be written like y=3x+2

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A guy stole $100 from a stores cash register, let's call it Dave's. He bought $70 in groceries, and paid with the $100 bill. The
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