Answer:
0.6826
Step-by-step explanation:
Mean(μ) = 37
Standard deviation (σ) = 9
P(28 < x < 46) = ???
Using normal distribution
Z = (x - μ)/σ
For x = 28
Z = (28 - 37)/9
Z = -9/9
Z = -1
For x = 46
Z = (46 - 37)/9
Z = 9/9
Z = 1
We now have
P(-1 < Z < 1)
= P(Z < 1) - P(Z < -1)
From the table, Z = 1 = 0.3413
φ(Z) = 0.3413
Recall that
When Z is positive, P(x<a) = 0.5 +φ(Z)
P(Z<1)= 0.5 + 0.3413
= 0.8413
When Z is negative, P(x<a) = 0.5 - φ(Z)
P(Z< -1)= 0.5 - 0.3413
= 0.1587
We now have
0.8413 - 0.1587
= 0.6826
Answer:
28
Step-by-step explanation:
Yes, 15 for both sides and 7 for the bottom. It will make an Acute Isosceles Triangle.
Step-by-step explanation:
sec x − cos x
Secant is the inverse of cosine:
(1 / cos x) − cos x
Find the common denominator:
(1 / cos x) − (cos² x / cos x)
Subtract:
(1 − cos² x) / cos x
Answer:
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