Which expression is equivalent to 4 over 9 x 7
1 answer:
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Answer:
The function given is:
P(x) = 15x² + 350x - 2000
or
y = 15x² + 350x - 2000
Interchange x and y:
x = 15y² + 350y - 2000
x = (y√15)² + 2(y√15)(45.19) + (45.19)² - (45.19)² - 2000
x = ( y√15 + 45.19)² - 4042.14
( y√15 + 45.19)² = x + 4042.14
Take square root:
y√15 + 45.19 = (√(x + 4042.14))
y√15 = (√(x + 4042.14)) - 45.19
The minimum value of x, for which function is defined and real, is x= -4042.14
Hence, the range of inverse is x ≥ -4042.14
Answer:
a.
b. <em></em>
c. <em />
d. It is not unusual
Step-by-step explanation:
Represent the given probability with P(T)
<em>Solving (a): Probability two selected will live to be three years old</em>
<em>This is calculated as:</em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em><em> --- </em><em>Approximated</em>
<em />
<em>Solving (b): The probability that nine selected will live to be three years old</em>
<em>This is calculated as:</em>
<em></em><em></em>
<em></em><em></em>
<em></em><em></em>
<em></em><em> --- </em><em>Approximated</em>
<em />
<em>Solving (c): Probability that at least one of the nine selected will not live to be three years old</em>
<em />
<em>To solve this, we need to determine the probability that none of the 9 selected will live to be 3 years old.</em>
<em>But first, we need to solve the probability that a selected male will not live to be 3 years old.</em>
<em>This is represented as: P(T') and is calculated as thus:</em>
<em /><em />
<em /><em />
<em /><em />
<em /><em />
<em>The probability that none of the nine will live to be 3 years old is:</em>
<em /><em />
<em /><em />
<em />
<em>So, the required probability is calculated as thus;</em>
<em /><em />
<em /><em />
<em /><em />
<em />
<em>Solving (d): Would (c) be unusual </em>
<em></em>
<em>This probability is calculated in (c) above.</em>
<em /><em />
<em />
<em>Because it approximates to 1, we can conclude that it is not unusual</em>