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Angelina_Jolie [31]
3 years ago
13

Help me with my unit test please!

Mathematics
1 answer:
Usimov [2.4K]3 years ago
3 0

Answer:

they are equal

Step-by-step explanation:

1/4 is equal to the absolute value of -1/4

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Find the minimum sample size necessary to be 99% confident that the population mean is within 3 units of the sample mean given t
olga55 [171]

Answer:

623

Step-by-step explanation:

Given that margin of error (E) = 3 unit, standard deviation (σ) = 29, sample size (n) = ?

a) The confidence (C) = 99% = 0.99

α = 1 - C = 1 - 0.99 = 0.01

α/2 = 0.01 / 2 = 0.005

From the normal distribution table, The z score of α/2 (0.005) is the critical value and it corresponds to the z score 0.495 (0.5 - 0.005) which is 2.58.

critical\ value = z_{\frac{\alpha}{2} }=z_{0.005}=2.58\\

b) The margin of error (E) is given as:

<h3>E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }\\\\\sqrt{n}= z_{\frac{\alpha}{2} }*\frac{\sigma}{E }\\ \\n=( z_{\frac{\alpha}{2} }*\frac{\sigma}{E })^2\\\\Substituting:\\\\n=(2.58*\frac{29}{3} )^2=622.0036\\\\\\n=623(to\ the \ next\ whole\ number)</h3>

The minimum sample size (n) is 623

3 0
4 years ago
if a single card is drawn from a standard 52 card deck what is the probability that it is neither a jack nor a club
Westkost [7]

Answer:

9/13

Step-by-step explanation:

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The required probability is therefore  36/52

= 9/13 (answer)

7 0
4 years ago
Is 0.7÷10 equal to 0.07
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6 0
3 years ago
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