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Tanzania [10]
3 years ago
13

An athletics coach states that the distribution of player run times (in seconds) for a 100-meter dash is normally distributed wi

th a mean equal to 13.00 and a standard deviation equal to 0.2 seconds. What percentage of players on the team run the 100-meter dash in 13.28 seconds or faster
Mathematics
1 answer:
Elza [17]3 years ago
8 0

Answer:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

Step-by-step explanation:

Let X the random variable that represent the runtimes of a population, and for this case we know the distribution for X is given by:

X \sim N(13,0.2)  

Where \mu=13 and \sigma=0.2

We want to find this probability:

P(X

And we can use the z score formula given by:

z=\frac{x-\mu}{\sigma}

Using this formula we have:

P(X

And we can find this probability using the normal standard distribution table and we got:

P(z

And the percentage faster than 13.28 seconds would be 91.9%

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4n+3< 6n+8 -2n what is n
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Answer:

<em />8>3<em />

Step-by-step explanation:

STEP 1: <em>Rewrite so   n is on the left side of the inequality.</em>

6n+8-2n>4n+3

STEP 2: <em>Subtract  2 n  from  6 n .</em>

4n+8>4n+3

STEP 3: <em>Move all terms containing  n  to the left side of the inequality.</em>

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Step-by-step explanation:

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3 years ago
Consider the probability that at least 93 out of 154 CDs will not be defective. Assume the probability that a given CD will not
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Answer:

0.5962

Step-by-step explanation:

Given that :

p = 61% = 0.61

q = 1 - p = 1 - 0.61 = 0.39

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P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)

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2 years ago
£90 is divided between Mark, Henry &amp; Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as G
Phantasy [73]

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

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=2(27)

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109 numbers hope this helps :)
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Read 2 more answers
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