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MArishka [77]
4 years ago
14

Michael is using a number line to evaluate the expression –8 – 3.

Mathematics
2 answers:
djverab [1.8K]4 years ago
5 0

Answer:

Micheal could rewrite the equation as negative 8 + negative 3 and move 3 spaces to the left.

Step-by-step explanation:

-8 - 3 = -8 + (-3)

ElenaW [278]4 years ago
4 0

Answer:

Here, mark the other dude brainliest.

C. Michael could rewrite the expression as negative 8 + 3 and move 3 spaces to the left.

Answer: -8 - 3 = -8 + (-3)

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The answer median is 41
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Find the range of the data set with the outlier {16, 15, 19, 14, 18, 20, 45, 22, 16, 25}.
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The range is 31.

To find the range, you subtract the smallest number, in this case 14, from the largest number, in this case 45.
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Use greatest common factor and the distributive property to write equivalent expressions in factored form for the following expr
Nitella [24]

Answer:

a.  4(d+3e)

b.  6(3x+5y)

c.  7(3a+4y)

d.  8(3f+7g)

Step-by-step explanation:

In each case we find the greatest common factor of the numbers. That is the greatest number that goes into both the numbers. Then we factor it out in front and inside parentheses we divide each original term by the greatest common factor:

a. 4d+12e, GCF: 4

\displaystyle4\left(\frac{4d}{4}+\frac{12e}{4}\right)=4(d+3e)

b. 18x+30y, GCF: 6

\displaystyle6\left(\frac{18x}{6}+\frac{30y}{6}\right)=6(3x+5y)

c. 21a+28y, GCF: 7

\displaystyle7\left(\frac{21a}{7}+\frac{28y}{7}\right)=7(3a+4y)

d. 24f+56g, GCF: 8

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Veronika [31]

Answer:

99% of the sample means will fall between 0.93288 and 0.94112.

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

The true mean is .9370 with a standard deviation of 0.0090

This means that \mu = 0.9370, \sigma = 0.0090

Sample of 32:

This means that n = 32, s = \frac{0.009}{32} = 0.0016

Within what interval will 99 percent of the sample means fall?

Between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile.

0.5th percentile:

X when Z has a pvalue of 0.005. So X when Z = -2.575.

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

By the Central Limit Theorem

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

-2.575 = \frac{X - 0.9370}{0.0016}

X - 0.9370 = -2.575*0.0016

X = 0.93288

99.5th percentile:

X when Z has a pvalue of 0.995. So X when Z = 2.575.

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

2.575 = \frac{X - 0.9370}{0.0016}

X - 0.9370 = 2.575*0.0016

X = 0.94112

99% of the sample means will fall between 0.93288 and 0.94112.

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