Answer:
Step-by-step explanation:
GIVEN: kayden paddled a canoe to an island. the island is 
miles from the shore. his trip to the island took two hours while paddling against the current. he paddles 
mph with no current.
TO FIND: what was the speed of the current.
SOLUTION:
distance of island from the shore 
miles
total time taken by Kayden 
hours
speed of Kayden in still water 
Let the speed of current be 
Speed of Kayden against current 
As,
Hence speed of current is
Answer:
No.
Step-by-step explanation:
4/5, when changed to a decimal, is a terminated decimal:
(4/5)(20/20) = 80/100 = 0.80
~
Answer:
proportion of gamers who prefer console does not differ from 29%
Step-by-step explanation:
Given :
n = 341 ; x = 95 ; Phat = x / n = 95/341 = 0.279
H0 : p = 0.29
H1 : p ≠ 0.29
The test statistic :
T = (phat - p) ÷ √[(p(1 - p)) / n]
T = (0.279 - 0.29) ÷ √[(0.29(1 - 0.29)) / 341]
T = (-0.011) ÷ √[(0.29 * 0.71) / 341]
T = -0.011 ÷ 0.0245725
T = - 0.4476532
Using the Pvalue calculator from test statistic score :
df = 341 - 1 = 340
Pvalue(-0.447, 340) ; two tailed = 0.654
At α = 0.01
Pvalue > α ; We fail to reject the null and conclude that there is no significant evidence that proportion of gamers who prefer console differs from 29%
Answer:
(x - 3)(x - 9)
Step-by-step explanation:
Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (- 12)
The factors are - 3 and - 9, hence
x² - 12x + 27 = (x - 3)(x - 9 )
