Answer:
a) QT = 8
b) QN = 24
c) QP = 23
d) MP = 46
e) RT = 6
f) TP = 12
Step-by-step explanation:
Find the diagram attached
If T is the centroid of<MNP, then the following are true;
TN = 2QT
Given TN = 16
16 = 2QT
QT = 16/2
QT = 8
QN = QT + TN
QN = 8 + 16
QN = 24
MQ + QP = MP and MQ = QP
If MQ = 23
QP = 23
Recall that MP = MQ + QP
MP = MQ + MQ
MP = 2MQ
MP = 2(23)
MP = 46
Similarly, TP = 2RT
RT = TP/2
Also RP = RT + TP
RP = RT + 2 RT
RP = 3RT
18 = 3RT
RT = 18/3
RT = 6
Recall that TP = 2RT
TP = 2(6)
TP = 12
Answer:
$-107
Step-by-step explanation:
From the problem we know the probability of randomly selecting a person alive throughout the year: 0.9989
Now, the probability that a person does NOT live would be the complement, that is:
1 - 0.9989 = 0.0011
Now to know the real value of the policy, we must first subtract what he paid for it, that is:
80000 - 195 = $ 79805
Now, to know what the value waiting for that person would be the subtraction of the real value that will be gained by the probability of not living, less what the policy payment for the probability of surviving, thus:
0.0011 * 79805 - 0.9989 * 195 = -107
Which means this man is actually losing $ 107
The value of a2+b2 = 0.05
The value of a3+b3 = 41.73
Concept: (a+b)2 = a2+b2+2ab
(a-b)2 = a2+b2-2ab
(a+b)3 = a3+b3+3a2b+3ab2
(a-b)3 = a3-b3-3a2b+3ab2
(I) a²+b²=(1/7-4✓3)²+(1/7+4✓3)²
⇒ ( 1/49 - 48) +(1/49 + 48)=(1-2352/49) + (1+2353/49)
⇒ -47.97 +48.02= 0.05
(ii) a³+b³=(1/7-4✓3)³+(1/7+4✓3)³
⇒(-6.78)³ +(7.07)³
⇒-311.66 +353.39= 41.73
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3rd one. The circle is on 7 and is going to the left.
190*76 is equal to 14440.
