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garri49 [273]
3 years ago
9

GCF of 12z3, 45z2, and 18z5.

Mathematics
1 answer:
bija089 [108]3 years ago
4 0

Answer:

  3z^2

Step-by-step explanation:

Factors of the different terms are ...

  12z^3 = 2·2·3·z·z·z

  45z^2 = 3·3·5·z·z

  18z^5 = 2·3·3·z·z·z·z·z

The common factors are 3 and z·z.

The greatest common factor is 3z^2.

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Ella ran 6 times around her school building. then she ran 4 miles home. Her phone told her she ran 7 miles total. Which equation
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In the ellipse, if c=6cm, and b=8cm, what is the length of the major axis?
kondor19780726 [428]

Answer:

Option B). 10 cm

Step-by-step explanation:

Distance between center and the focus of an ellipse is given by the formula,

c² = a² - b²

where, a = length of the major axis

b = length of the minor axis

and c = distance between focus and center

If c = 6 cm, b = 8 cm,

6² = a² - 8²

a² = 6² + 8²

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Option (B) is the answer.

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2 years ago
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Dimas [21]
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Almost all employees working for financial companies in New York City receive large bonuses at the end of the year. A sample of
lora16 [44]

Answer:

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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90% confidence interval

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The margin of error is:

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The lower end of the interval is the sample mean subtracted by M. So it is 47000 - 3181 = $43,819

The upper end of the interval is the sample mean added to M. So it is 47000 + 3181 = $50,181

The 90% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is between $43,819 and $50,181

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