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bagirrra123 [75]
3 years ago
5

What is the probability that a random point is chosen on the grid below in the shaded area?

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer:

17/25

Step-by-step explanation:

In this case we are asked for the probability that a random point is chosen in the lower grid in the shaded area, we must count the total number and amount of shaded squares.

In total there are 25 squares and 17 shaded ones.

This means that the answer is 17/25, the answer is not within the options, but if it is 8/25, which would be the probability of choosing a random point in a non-shaded or white area

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For a 95% confidence interval what would the sample size need to be as it's most conservative to have a 2% margin of error
aleksley [76]

Answer:

<em>The size of the sample 'n' = 2401</em>

Step-by-step explanation:

<u><em>Step:1</em></u>

Given that the margin of error = 2 % = 0.02

The margin of error is determined by

              M.E = \frac{Z_{0.05} \sqrt{p(1-p)} }{\sqrt{n} }

we know that the proportion

               \sqrt{p(1-p)} < \frac{1}{2}

<u><em>Step:2</em></u>

<em>The margin of error is determined by </em>

<em>               </em>0.02 = \frac{1.96( \frac{1}{2} ) }{\sqrt{n} }<em></em>

              \sqrt{n} =  \frac{1.96}{2 X 0.02}

              √n  = 49

Squaring on both sides, we get

                n = 49 × 49

                n = 2401

<u>Final answer:-</u>

<em>The size of the sample 'n' = 2401 </em>

8 0
3 years ago
What is the factored form of x2 - 4x - 5?
Kazeer [188]

Answer:

Option D, (x - 5)(x + 1)

Step-by-step explanation:

<u>Step 1:  Factor </u>

x^2 - 4x - 5

x^2 - 5x + x - 5

(x - 5)(x + 1)

Answer:  Option D, (x - 5)(x + 1)

6 0
3 years ago
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Answer:

53.931339977852% (you can round)

Step-by-step explanation:

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                                              ___    =    ___

                                              903           100

903x = 48700. Then you would divide each side by 903 and get x = 53.931339977852% (you can round)

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Step-by-step explanation:

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The asymptote of g(x) is the aymptote of f(x) shifted six units up
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