Nathan is itemizing deductions on his federal income tax return and had $5800 in his medical expenses last year. If his AGI was
2 answers:
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Answer:
Yes, It is a right triangle for the given vertices.
Step-by-step explanation:
Given:
Q(7, –10),
R(–3, 0),
S(9, –8)
To Find:
determine whether is a rig ht triangle for the given vertices = ?
Solution:
QR=
QR=
QR=
QR=--------------------------(1)
QR=14.142136
RS=
RS=
RS=
RS=---------------------------(2)
RS=14.422205
QS=
QS=
QS=
QS=-------------------------------------(3)
QS=2.828427
According to Pythagorean Theorem,
Substituting the values,
208 = 208
Pythagorean theorem is satisfied. Hence it is a right triangle.
Answer:
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.
Step-by-step explanation:
We use the central limit theorem to solve this question.
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a sample size larger than 30 can be approximated to a normal distribution with mean
and standard deviation
So
Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of M will be approximately normal.