Derek's math teacher put some candy in a brown paper bag. The bag contains 4 lemon, 6 lime, 8 cherry, 2 pineapple, 5 orange, and
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Answer:
(a) The percent of her laps that are completed in less than 130 seconds is 55%.
(b) The fastest 3% of her laps are under 125.42 seconds.
(c) The middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.
Step-by-step explanation:
The random variable <em>X</em> is defined as the number of seconds for a randomly selected lap.
The random variable <em>X </em>is normally distributed with mean, <em>μ</em> = 129.71 seconds and standard deviation, <em>σ</em> = 2.28 seconds.
Thus, .
(a)
Compute the probability that a lap is completes in less than 130 seconds as follows:
The percentage is, 0.55 × 100 = 55%.
Thus, the percent of her laps that are completed in less than 130 seconds is 55%.
(b)
Let <em>x</em> represents the 3rd percentile.
That is, P (X < x) = 0.03.
⇒ P (Z < z) = 0.03
The value of <em>z</em> for the above probability is:
<em>z</em> = -1.88
Compute the value of <em>x</em> as follows:
Thus, the fastest 3% of her laps are under 125.42 seconds.
(c)
Let <em>x</em>₁ and <em>x</em>₂ be the values between which the middle 80% of the distribution lie.
That is,
The value of <em>z</em> for the above probability is:
<em>z</em> = 1.28
Compute the values of <em>x</em>₁ and <em>x</em>₂ as follows:
Thus, the middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.
Answer:
JML = 142
Step-by-step explanation:
Sadly that is wrong. Not all the angles are the same. However, using the reflexive property we can find that angle JKM is 38 degrees. Using this, we need to create an equation to get the other two angles. Again, they would be the same because of the reflexive property.
38 + 38 + x + x = 360
The total needs to be 360 because the shape has 4 sides.
Now you beed to get the variable to one side. To do this you would subtract each side by 76.
Finally, your answer currently shows the sum of both LKJ and JML. to get one sides angle just divide by 2.
284 / 2 = 142
JML = 142
There is your answer.
Hope this helped.