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2 years ago

Write an improper fraction using the following criteria:

Mathematics

2 answers:

ruslelena [56]2 years ago

5 0

Let's take this number:

WHY this number fits the criteria?

It's an improper fraction since the numerator is higher than the denominator
It's value IS between 1-5 because 28 divided by 7 = 4, 4 is in middle of 1-4
The denominator IS 7

How did I find this number?

I did 7x4 to get the numerator, so that it would be between 1-5
And I made sure that it's an improper fraction
And also, I made sure that the denominator is 7

<h2>Hence, 28/7 can be one answer</h2>

(note: there are MANY answers to this question)

lapo4ka [179]2 years ago

3 0

21/7

Divide 21(numerator) by 7 (denominator) and you get 3 which is between 1 and 5

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The average diameter of sand dollars on a certain island is 4.00 centimeters with a standard deviation of 0.60 centimeters. If 1

blagie [28]

Answer:

0.8413 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 4.00 centimeters

Standard Deviation, σ = 0.60 centimeters

Sample size, n = 16

We are given that the distribution of average diameter is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{0.60}{\sqrt{16}} = 0.15$

P(diameter of sample is more than 3.85 centimeter)

P(x > 3.85)

$P( x > 3.85) = P( z > \displaystyle\frac{3.85 - 4}{0.15}) = P(z > -1)$

$= 1 - P(z \leq -1)$

Calculation the value from standard normal z table, we have,

$P(x > 3.85) = 1 -0.1587 = 0.8413$

0.8413 is the probability that the the average diameter of sample of 16 sand dollars is more than 3.85 centimeters.

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3 years ago

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larisa [96]

$2(n-5)\geq2n+10\\2n-10\geq2n+10\\-10\geq 10\\n\in\emptyset$

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