Answer:
Step-by-step explanation:
Given that
(3x) is raised to power 5
(3x)^5
Then,
Using indices
(AB)ⁿ = Aⁿ•Bⁿ
Then,
(3x)^5= 3^5•x^5
Then, 3^5 means=3×3×3×3×3=243
So,
(3x)^5= 243x^5
X-15+5-5
x-10-5
x-15
There are 15 less people after the second stop on the bus than there were before the 2:30 stop.
Answer:
Null hypothesis: The favorite sport of 53% of adults in the country is professional football ( with revenue of about $13 billion per year)
Alternate hypothesis: The adults in the country whose favorite sport is not professional football (with revenue of about $13 billion per year) is less than 53%
Step-by-step explanation:
The given claim is that the favorite sport of 53% of adults in the country is professional football (with revenue of about $13 per year) which is the null hypothesis. This means that the favorite sport of the remaining 47%(less than 53%) of adults in the country is not professional football (with revenue of about $13 billion per year) which is the alternate hypothesis
1. <span>4x=7(x-3) -----> Start with the given.
2. </span><span>4x=7x-21 -----> Distribute 7 by multiplying it to the individual terms inside the parenthesis. 7(x) - 7(3) = 7x -21
3. </span><span>-3x=-21 ------> From step 2, combine like terms by transposing. The equation becomes 4x - 7x = -21. Simplifying, it becomes -3x = -21
4. x = 7 -----> Divide both sides by -3, you get the value o x.
Hope this helps :)</span>
Answer:
Tan B = 15 / 8
Step-by-step explanation:
Giveb the triangle :
The hypotenus :
Using Pythagoras rule :
Hypotenus² = 15² + 8²
Hypotenus² = 225 + 64
Hypotenus = 17
Tan B:
Using the trigonometric relation :
Tan B = opposite / Adjacent
Tan B = 15 / 8