Answer:
∠ FNT = 120°
Step-by-step explanation:
14a - 20 and 7a + 50 are corresponding angles and congruent, thus
14a - 20 = 7a + 50 ( subtract 7a from both sides )
7a - 20 = 50 ( add 20 to both sides )
7a = 70 ( divide both sides by 7 )
a = 10
Thus
∠ MNG = 7a + 50 = 7(10) + 50 = 70 + 50 = 120°, hence
∠ FNT = 120° ( vertical to ∠ MNG )
Answer:
-4x^2+5x-28
Step-by-step explanation:
3x^2 +5x - 7(x^2 +4)
Distribute the -7
3x^2+5x-7x^2-28
Combine like terms
-4x^2+5x-28
C. x = 7
1 + 3 * x = 22
1 + 3x = 22
Subtract 1 from both sides.
3x = 21
Divide both sides by 3.
x = 7
Answer: We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.
Step-by-step explanation:
Given : Significance level :
Sample size : n= 52 , which is a large sample (n>30), so we use z-test.
By using z-value table,
Critical value:
Sample mean :
Standard deviation :
The confidence interval for population means is given by :-
i.e.
Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)
Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.