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serg [7]
3 years ago
15

Use the normal distribution of SAT critical reading scores for which the mean is 507 and the standard deviation is 109. Assume t

he variable x is normally distributed.
Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0

Answer:

Step-by-step explanation:

Let X be the variable representing SAT critical reading scores for which the mean is 507 and std dev is 109

X is normal

Critical score for 95% is Z critical = ±1.96

Convert Z to x score as

z=507+1.96(109) and z = 507-1.96(109)

Critical values of X lie in the range

(293.36,720.64)

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OM , ON and OP are the angle bisectors of ∠AOB, ∠BOC, and ∠COD respectively. ∠AOD and ∠BOE are straight angles.
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Find m∠BOC, if m∠MOP = 110°.

Answer:

m∠BOC= 40 degrees

Step-by-step explanation:

A diagram has been drawn and attached below.

  • OM bisects AOB into angles x and x respectively
  • ON bisects ∠BOC into angles y and y respectively
  • OP bisects ∠COD into angles z and z respectively.

Since ∠AOD is a straight line

x+x+y+y+z+z=180 degrees

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We are given that:

m∠MOP = 110°.

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