Let z = sin(x).
.. z^2 -2z = 2
.. z^2 -2z +1 = 3
.. (z -1)² = 3
.. z -1 = ±√3
.. z = 1 -√3 . . . . . the positive solution is extraneous
sin(x) = 1 -√3
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Answer with explanation:</h2>
By considering the given information, we have
Null hypothesis : 
Alternative hypothesis : 
Since the alternative hypothesis is two-tailed , so the test is a two-tailed test.
Given : Sample size : n= 20, since sample size is less than 30 so the test applied is a t-test.
; 
Test statistic : 
i.e. 
Degree of freedom : n-1 = 20-1=19
Significance level = 0.01
For two tailed, Significance level 
By using the t-distribution table, the critical value of t =
Since , the observed t-value (7.25) is greater than the critical value (2.861) .
So we reject the null hypothesis, it means we have enough evidence to support the alternative hypothesis.
We conclude that there is some significance difference between the mean score for sober women and 35.0.
Hello! I would love to help!
9. Basically, it is asking us to multiply 5.2 by 46.
5.2*46=239.2
So, your answer is 239.2 inches.
10. First, let's find out how many blocks she has left to run by subtracting the number of blocks she has already ran by the number of total blocks.
60-18=42
So Susan has 42 blocks left to run. Now, let's divide that by 2 since she can run 2 blocks per minute.
42/2=21
So, the answer is 21 minutes.
11. Let's set up an equation: We know that she will automatically pay $49.95 per month, plus $0.15 per additional minute. We also know her final total for the month was $61.20:
49.95+0.15m=61.20
Let's solve! Subtract both sides by 49.95
49.95+0.15m-49.95=61.20-49.95
Simplify
0.15m=11.25
Now, divide both sides by 0.15
0.15m/0.15=11.25/0.15
M=75
So your answer is 75 additional minutes.
Hope this helped! Comment if you have questions!
(2) 11x3 (3) 7x5 (4) (8+5)x9 (5) 12+3 (6) 5x2 (7) (6+4)x8 (8) 8 + 13 Message me for more information
I think you'd divide 681/5 and i got 136.2 for that so
