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kkurt [141]
3 years ago
7

What is the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution?

Mathematics
1 answer:
DedPeter [7]3 years ago
8 0

Answer:

The probability is 0.8944

Step-by-step explanation:

The probability of Z<1.25 in a normal distribution is

P(Z<1.25) = 0.5 + P(Z<1.25)

P(Z<1.25) = 0.5 + 0.3944

P(Z<1.25) = 0.8944

Hence, the probability of randomly selecting a z-score less than z = 1.25 from a normal distribution is 0.8944

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If sin x=2/9,x, in quadrant i, then find(without findingx): sin(2x), cos(2x), tan(2x)
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We have that
<span>sin x=2/9

we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)

Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43

Sin 2x=0.43
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tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48

the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48


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