Answer:
required probability is 0.8413
Step-by-step explanation: Given mean
minutes, standard deviation
seconds, we need to find
. Using z score

So,

P(P|K) = 82.6%.
P(P|K) = P(K and P)/P(K) = 1.9%/2.3% = 0.019/0.023 = 0.8261 = 82.6%
The length of the unknown side length, |AB|, is 6.97
<h3>Trigonometry</h3>
From the question, we are to determine the value of the unknown side length
The unknown side length is the hypotenuse
Using SOH CAH TOA
We can write that
sin 35° = 4/|AB|
∴ |AB| = 4 /sin35°
|AB| = 4 /sin35°
|AB| = 6.97
Hence, the length of the unknown side length, |AB|, is 6.97
Learn more on Trigonometry here: brainly.com/question/22099203
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Answer:
y = x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = x - 9 ← is in slope- intercept form
with slope m = 1
Parallel lines have equal slopes, thus
y = x + c ← is the partial equation of the parallel line
To find c substitute (6, - 7) into the partial equation
- 7 = 6 + c ⇒ c = - 7 - 6 = - 13
y = x - 13 ← equation of parallel line