Answer:
Step-by-step explanation:
From the information given:
For Adult Men
Mean 
= 69.5
Standard deviation 
= 2.4
observed value X = 74
For Adult Women
Mean = 63.8
Standard deviation = 2.6
observed value X = 70
Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex
For Adult Men :
z = 1.875
For Adult Women :
z = 2.3846
Thus; we can conclude that , the women is more unusually tall within his or her respective sex
Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
Answer
Slope: -2
Step-by-step explanation:
Perpendicular slope is the negative reciprocal of the original slope.
The original slope was 1/2. Flip it. 2/1=2. Now change the sign to -2.
Answer:
i. RP = 17
ii. RT = 15
iii. RS = 30
Step-by-step explanation:
Given that; QT = 9 and TP = 8.
From the diagram, join R to P. Thus RP = QP (radius of the circle)
RP = QT + TP
= 9 + 8
RP = 17
Applying Pythagoras theorem to triangle TRP;
RT = 
= 
= 
= 15
∴ RT = 15
But, RT = TS = 15.
So that;
RS = 15 + 15
= 30
RS = 30
Therefore; RP = 17, RT = 15 and RS = 30.
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