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3 years ago

I need help with #13. If you help me and write everything it's asking I will mark you as the brainiest. Thank you

Mathematics

1 answer:

Sliva [168]3 years ago

4 0

The tennis court can be found at the point (3,2)
The bike path is found at the point (5,2)
The equation used to the distance or slope between these points is Y2 - Y1 / X2 - X1
Now, plug in the values…
2 - 2 / 5 - 3
And solve…
1 / 2
Therefore, 1 block north and 2 blocks east.

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vlabodo [156]

Complete Question

The complete question is shown on the first uploaded image

Answer:

$P(X < 4) = 0.4141$

$P(4 < X < 6) = 0.32876$

$P(X >8) = 0.064037$

The correct option is B

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 4.5$

The standard deviation is $\sigma = 2.3$

Generally the probability that a randomly selected study participant's response was less than 4 is mathematically represented as

$P(X < 4) = P(\frac{X - \mu }{\sigma} < \frac{4 - 4.5}{ 2.3} )$

$\frac{X -\mu}{\sigma} = Z (The \ standardized \ value \ of\ X )$

$P(X < 4) = P(Z < -0.217 )$

From the z-table $P(Z < -0.217 ) = 0.4141$

$P(X < 4) = 0.4141$

Generally the probability that a randomly selected study participant's response was between 4 and 6 is mathematically represented as

$P(4 < X < 6) = P( < \frac{4 - 4.5}{ 2.3} < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})$

=> $P(4 < X < 6) = P( \frac{4 - 4.5}{ 2.3} < \frac{X - \mu }{\sigma} < \frac{6 - 4.5}{2.3})$

=> $P(4 < X < 6) = P( -0.217 < Z< 0.6522$

=> $P(4 < X < 6) = (Z< 0.6522) -P( Z < -0.217)$

From the z-table

$(Z< 0.6522) = 0.74286$

$P(4 < X < 6) = 0.74286 -0.4141$

=> $P(4 < X < 6) = 0.74286 -0.4141$

=> $P(4 < X < 6) = 0.32876$

Generally the probability that a randomly selected study participant's response was more than 8 is mathematically represented as

$P(X > 8) = P(\frac{X - \mu }{\sigma} > \frac{8 - 4.5}{ 2.3} )$

$P(X > 8) = P(Z > 1.52174 )$

From the z-table $P(Z > 1.52174 ) = 0.064037$

$P(X >8) = 0.064037$

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