Answer:
x = 2
Step-by-step explanation:
Note that 25 = 5² , then
= 5²
Since the bases on both sides are 5 then equate the exponents
6 - 2x = 2 ( subtract 6 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
Answer:
Step-by-step explanation:
Let the number be 'x'
Reciprocal = 

Cross multiply
(x² + 1) *2 = 5*x
2x² + 2 = 5x
2x² - 5x + 2 =0
Factorize the equation,
Sum = -5
Product = 4
Factors = -1 , -4
2x² - x - 4x + 2 = 0
x(2x - 1) - 2(2x - 1) = 0
(2x -1 )(x - 2) = 0
2x - 1 = 0 ; x -2 = 0
2x =1 ; x = 2
x = 1/2
Number = 2 , and its reciprocal = 1/2
Answer:
Step-by-step explanation:
Total number of students =100
Number who bought pop corn = 62
Number who bought drinks = 47
Number who bought both =38
Hence number who did not purchase anything = 100-(62+47-38)
=29
Prob that students buys a drink = 47/100 = 0.47
PROB THAT THE student buys a drink/he purchsaed pop corn
= Number for both/number of pop corn
=38/62 =0.613
P(buying pop corn) = 0.62 and P(drink) = 0.47
Product of these = 0.62*0.37=0.2356
Thus we find product is not equal to Prob of purchsing both
Hence cannot be independent
The first option is correct I did this before hope this helps