Answer:
We are 85% confident that the proportion of adults who dreaded valentines day is within the range of 8.8% to 21.2%.
Step-by-step explanation:
Proportion of adults who dreaded valentines day = 15% = 0.15
The margin of error with 85% confidence = 6.2% = 0.062
The confidence interval is given by
p ± margin of error
0.15 ± 0.062
Lower limit = 0.15 - 0.062
Lower limit = 0.088
Lower limit = 8.8%
Upper limit = 0.15 + 0.062
Upper limit = 0.212
Upper limit = 21.2%
So it means that we are 85% confident that the proportion of adults who dreaded valentines day is within the range of 8.8% to 21.2%.
Answer:
-16.8
Step-by-step explanation:
split 5.6 into two numbers, 5 and 0.6.
5 x -3 = -15
0.6 x -3 = -1.8
add together: -15 + -1.8 = -16.8
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Answer:
B Allied Powers
Step-by-step explanation:
They worked with the US during WWI and WWII
<span>cos 4x + cos 2x = 2 - 2 sin^2 2x - 2 sin^2 x
cos 4x + cos 2x = 1 + 1 − 2sin^2(2x) − 2sin^2(x)
cos 4x + cos 2x = (1 - 2sin^2(2x)) + (1 - 2 sin^2(x)
cos 4x + cos 2x = cos 4x + cos 2x</span>
