Answer:
Option D
Step-by-step explanation:
Complete question
A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. A random sample of 18 sophomores is surveyed and asked whether they support the school adopting uniforms, and three students said yes. The student wants to construct a 95% confidence interval for the proportion of sophomores who favor the adoption of uniforms. Are the conditions for inference met?
- Yes, the conditions for inference are met.
- No, the 10% condition is not met.
- No, the randomness condition is not met.
- No, the Large Counts Condition is not met.
Solution
10 % of population size of 200 is 20. The sample of 18 is smaller than the 10 % of sample size of 200. As per the 10% rule, the size of sample must be less than 10% of the total size of population. This indicate that the sample is random but its size is less that 30. However, it should be greater that 30. Hence, the large count condition is not met.
Hence, option D is the correct choice of answer
Consider such events:
A - selected student is freshmen
B - selected student is girl
- selected student is freshman is girl
- choosen girl is freshmen.
Use formula
.
From the table you can see that girls that are freshmen are 4 from all 30 people, then
. There are 18 girls, then
. Substitute into the formula:
.
Answer:
.
Answer:

Step-by-step explanation:
Given
--- Amplitude
--- Right phase shift
Required
Identify the function
A sinusoidal function is defined as:

Substitute values for A and C

By comparison, only option (D) has the above format where

Hence (D) is correct
Answer:
Step-by-step explanation:
2 cos x + √ 2 = 0
2 cos x = -√ 2
cos x = -√ 2 / 2
x = arcCos( -√ 2 / 2 )
so to solve we have to use "co-terminal " angles .. do you know what I'm saying? do you understand the words coming out of my mouth :DDDDD OKay back to math and not movie lines .. :P
x = arcCos( √ 2 / 2 )
x = 45 °
now find the "co terminal" angle that is on 45 ° but in the correct quadrant... since the -√ 2 is negative.. we now that we go down the y axis.. but also positive on the x axis.. soooo.. that put the angle in the 4th quadrant... so this is an angle of 315° if we go in the CCW ( counter clock wise ) direction but it's also -45° in the CW (clock wise ) direction
below is the table to remember the trig special angles
notice how it's 1,2,3,4 .. so it's super easy to remember.. the trig books don't show you this "trick" :P
copy and paste this to your computer some where handy
Sin(0) = 0/2 =0
Sin(30)=
/2 = 1/2
Sing(45) =
/2 =
/2
Sin(60)=
/2 =
/2
Sin(90)=
/2 = 1
Cos is exactly the same but counts backwards from 90°
Cos(90) = 0/2 = 0
Cos(60) =
/2 = 1/2
Cos(45) =
/2 =
/2
Cos(30) =
/2 =
/2
Cos(0) =
/2 = 1
Answer:10
Step-by-step explanation:multiply and simplify