Answer:
x = 1
Step-by-step explanation:
3^2x - 9 (3^-2x) = 8
<=> 3^2x - 9/(3^2x) = 8
Given that 3^2x = y [1] (y>0), we have a new equation as follows:
y - 9×
= 8
<=> y - 9/y = 8
<=> y(y - 9/y) = y×8
<=> y^2 - 9 = 8×y
<=> y^2 - 8y - 9 = 0
<=> (y^2 + y) - (9×y + 9) = 0
<=> y(y + 1) - 9(y + 1) = 0
<=> (y - 9)(y + 1) = 0
=> y = 9, or y = - 1
However, as 3^2x > 0, y>0.
Therefore, y = 9.
Replace y with 9 in [1], we have:
3^2x = 9 = 3^2
=> 2x = 2
=> x = 1
Answer:
23
Step-by-step explanation:
over. The
remaining cake is split into 4 equa
Answer:
pretty sure its store b Step-by-step explanation:
because 15 percent of 75 is 11.25 and that means you're going to pay 63.75, but store b you only pay 60. Store c you buy it full price but your getting 15 dollars rebate only after you purchase it, and its thru mail so its better to pay just the 60
Answer:
P(CO|M)=0.77 for male
and P(CO|M^c)=0.62 for female
Step-by-step explanation:
When we talk of conditional probability, we refer to the measure of the probability of an event given that another event has occurred
Here, we are to express the results of the survey as a conditional probability.
For the male part of the question, the conditional probability means that, given that the person is a male, the probability that he is a car owner would be;
P(CO|M)=0.77
For the female part of the question, what we have as a conditional probability is that if a person is a female that she is a car owner is;
P(CO|M^c)=0.62
Please kindly understand that the term M^c refers to M complement in words
Answer:
y = 5.595090517 or approximately 5.6
Step-by-step explanation:
Tan47 = 6/y
y x Tan47/Tan47 = 6/Tan47
y = 5.595090517 or approximately 5.6