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Answer:
13, 15
Step-by-step explanation:
Let x represent the smaller of the two integers. Then the larger is x+2. The required relation is ...
x² = 154 +(x +2) . . . . . . the smaller squared is 154 more than the larger
x² -x = 156 . . . . . . . . . . subtract x
x² -x +1/4 = 156.25 . . . complete the square
(x -1/2) = √156.25 = 12.5 . . . . take the square root
x = 13 . . . . . add 1/2
The two integers are 13 and 15.
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<em>Check</em>
13² -15 = 169 -15 = 154 . . . as required
Given that the lead actor is 5 feet 9 inches tall, converting this to meters we shall have:
1 ft = 0.3048 m
therefore 5 ft will be:
(5/1)×0.3048
=1.524m
next:
1 in = 0.0254 m
therefore 9 inches will be:
(9/1)×0.0254
=0.2286 m
hence; 5 ft 9 inches will be equivalent of:
(1.524+0.2286) m
=1.7526 m
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The proportion of total part-time workforce is
The sample size is n = 80
Generally the mean is mathematically represented as
The proportion of not part - time workforce
=>
=>
The standard deviation is mathematically represented as
Now applying the normal approximation,
Then the probability that fewer than 20 people from this sample were between the ages of 25 and 34 is mathematically represented as
Applying continuity correction
Generally
So
From the z-table
The probability is