Where is x because I don’t see none
What is log675 with base 5 × log 3 with base 3?
We have to calculate (log 675 to the base 5) × (log 3 to the base 3)
Note the following important points :
(1.) log 675 to the base 5
=> log 675 to the base ‘e’ / log 5 to the base ‘e’
=> ln 675 / ln 5
Since 675 = 5^2 × 3^3
=> ln 675 = ln [5^2 × 3^3]
=> ln (5^2) + ln (3^3)
=> 2 ln 5 + 3 ln 3
Hence, log 675 to the base 5
= ln 675 / ln 5
= [2ln 5 + 3ln 3] / ln 5
(2.) Similarly, log 3 to the base 3
=> Since the logarithm of any natural number 'x' to the base of same number 'x' is always 1 (since any natural number raised to the power '1′ is equal to the same number) ,
Thus, (log 3 to the base 3) = 1
Hence, our problem reduces to:
(log 675 to the base 5) × (log 3 to the base 3)
=> [(2ln 5 + 3ln 3) / ln 5] × (1)
=> (2ln 5 + 3ln 3) / ln 5
=> So we only require the values of natural logarithm of 3 and 5 :)
We should remember these values, or we can always use log table.
Since ln 3 = 1.098
and ln 5 = 1.609
=> 2ln 5 = 2(1.609) = 3.218
=> 3ln 3 = 3(1.098) = 3.294
Hence,
solution : (3.218 + 3.294) / 1.609
=> 6.512 / 1.609
=> 4.047
GLAD TO HELP YOU ;))
D
Sq rt of 151 = 12.2/2= 6.14
64 players
Reason- 2/3 of 96 = (32 x 2 = 64) telling us how many got on the list
Answer:
B
Step-by-step explanation:
When testing hypothesis to make a conclusion, you must find sufficient evident to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis must fail in order to accept the alternative. Failing to reject is not enough information. Since this is the case then options C and D are false statements and cannot be true. Both state that if you reject the null then the alternative is false or can't be supported. The opposite is true. Option A is also false since you cannot accept the null. You can only fail to reject it. If this is true then the alternative certainly cannot be accepted. Option B must be correct and the statement (thought not listed here) must be true.
A. This statement is false. A true statement is, "If you decide to accept the null hypothesis, then you can support the alternative hypothesis."
B. This statement is true.
C. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can't support the alternative hypothesis."
D. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can assume the alternative hypothesis is false."
