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alukav5142 [94]
3 years ago
13

Rewrite the expression in the form x

Mathematics
1 answer:
Serga [27]3 years ago
5 0

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}

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A family went on a trip. they drove 180 miles. after 2/3 of that distance, they stopped to eat. how many miles do they still hav
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Well, remaining drive is 1/3 of 180

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4 0
2 years ago
A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimat
AveGali [126]

Answer:

a) 68% probability that the sample mean will be within ±5 of the population mean.

b) 95% probability that the sample mean will be within ±10 of the population mean.

Step-by-step explanation:

To solve this problem, we have to understand the Empirical Rule and the Central Limit Theorem

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem

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

In this problem, we have that:

Mean: \mu = 200

Standard deviation of the population: \sigma = 50

Size of the sample: n = 100

Standard deviation for the sample mean: s = \frac{50}{\sqrt{100}} = 5

a.What is the probability that the sample mean will be within ±5 of the population mean?

5 is one standard deviation from the mean.

By the Empirical Rule, 68% probability that the sample mean will be within ±5 of the population mean.

b.What is the probability that the sample mean will be within ±10 of the population mean?

10 is two standard deviations from the mean

By the Empirical Rule, 95% probability that the sample mean will be within ±10 of the population mean.

4 0
2 years ago
The list shows the length of a day on two different planets.
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Answer:

a day on Venus is about 400 times as long as a day on Neptune

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2 years ago
Question 6(Multiple Choice Worth 2 points) (01.02) Danica is arranging flowers for a party. On each table, t, there will be a va
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By substituting the numbers into its own variable of t and f, the equation should now be 9(21)+(3*3)*21+12. This simplifies to 189+(9*21)+12 --> 189 +189 +12, which equals 390.
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3 years ago
Read 2 more answers
How do I solve this math problem? I don't understand it.
Ksju [112]
The pictures too small :(
3 0
3 years ago
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