Answer:
In step A, you replace all trigonometric functions with their definitions in terms of sine and cosine.
In step B, you add the two together as you add fractions.
In step C, you replace 1 with the sum of the squares of sine and cosine.
In step D, you add the cosine terms together so they disappear.
In step E, finally, you divide numerator and denominator by .
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.
Answer:
x = 60
Step-by-step explanation:
the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
The sum of the arcs in a circle = 360° , then
intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°
then
x = (95 + 25 ) =
× 120 = 60