-32.48-(14.014)
- (32.48 + 14.014)
add 32.48 +14.014 by lining up the decimal
32.48
+ 14.014
------------
46.494
then bring back the negative
-(46.494)
Answer: -46.494
36/ (9 - 3) = 6
Cause:
9 - 3 = 6
Then:
36/6 simplified equals 6
So, your answer is 36/(9 - 3) = 6
Hope it helps! Good luck friend! :3
Step-by-step explanation:
Discriminant : k² - 4(12)(27) < 0
So k² - 1296 < 0, -36 < k < 36.
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
