Answer:
(29.14 ; 30.06)
Step-by-step explanation:
Given that'
Sample size (n) = 57
Mean (m) = 29.6
Population standard deviation (σ) = 2.7
Confidence interval = 80%
= (1 - 0.8) / 2 = 0.1
Mean ± z * σ/√n
Using the Z probability calculator : Z0. 1 = 1.28
Hence,
29.6 ± 1.28 * (2.7 / √57)
29.6 - (1.28 * 0.3576237) ; 29.6 + (1.28 * 0.3576237)
29.142241664 ; 30.057758336
(29.14 ; 30.06)
Answer:
A.
Step-by-step explanation:
the absolute value of -5 = 5.
5+8=13.
Hope this helped.
The equation of g(x) is 
Explanation:
Given that the function f(x) is 
Also, given that the function g(x) is a vertical stretch of f(x) by a factor of 4.
We need to determine the equation of g(x)
<u>Equation of g(x):</u>
The vertical stretch of the function can be determined by multiplying the factor 4 with the function f(x).
Thus, we have,
Substituting the values,we have,
Simplifying the values, we get,
Hence, the equation of g(x) is
The answer would be 10. Explanation: So basically you add the two complementary angles and set it equal to the whole thing. So it would look like 4x+46=7x+16. Then, you have to solve for x. To do that, subtract the 4x from both sides and the 16 from both sides. That will leave you with 3x=30. Then, divide by 3, and you get an answer of 10. Hope that helped :)
