Answer:
x=-9/a and a=-9/x
Step-by-step explanation:
Answer:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
Step-by-step explanation:
Let X the random variable who represent the finishing times.
From the problem we have the mean and the standard deviation for the random variable X.
So then the parameters are
On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:
The probability of obtain values within one deviation from the mean is 0.68
, within two deviations we have 0.95 and within 3 deviations from the mean is 0.997
And from this rule we have 99.7 % of the values within 3 deviations from the mean, so we can find the limits like this:
So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race
<h3>
Answer: x = 4</h3>
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Explanation:
Use the remote interior angle theorem. This says a pair of interior angles always add to the measure of the exterior angle that is not adjacent to any of the interior angles, so basically what your diagram is showing.
(interior angle C) + (interior angle D) = exterior angle
(46) + (-1+8x) = 18x+5
8x+45 = 18x+5
8x-18x = 5-45
-10x = -40
x = -40/(-10)
x = 4
Answer:
k = 5
Step-by-step explanation:
-2k = k - 7 - 8
Combine like terms
-2k = k - 15
add 15 to both sides
-2k + 15 = k
Add 2k to both sides
15 = 3k
Divide both sides by 3
k=5
Hope this helps!