Answer:
At least 9604 drivers need to be surveyed to be 95% confident that the population proportion is estimated to within 0.01.
If confidence level is chosen higher than 95% then minimum sample size requried in the survey increases
Step-by-step explanation:
The following formula is used to compute the minimum sample size required to estimate the population proportion within the required margin of error:
n≥ p×(1-p) ×
where
- p is the population proportion who always buckle up before riding in a car (estimated as 0.5 when unknown)
- z is the corresponding z-score for 95% confidence level (1.96)
- ME is the margin of error in the estimation (0.01)
Then,
n≥0.5×0.5 ×
≈ 9604
If confidence level is chosen higher than 95% then the z value in the equation would be bigger than 1.96. Therefore minimum sample size requried in the survey increases.
Answer:
6 feets
Step-by-step explanation:
The triangle described in the question has been sketched in the picture attached below :
From the triangle, we could solve for X, which is the base of the triangle using trigonometry :
Sinθ = opposite / hypotenus
Sin 30° = x / 12
0.5 = x / 12
x = 12 * 0.5
x = 6 feets
Hence base, x = 6 feets
Answer:67.2
Step-by-step explanation:
3.5+2.1=5.6
6 times 5.6 is 33.6 then 33.6 times 2 is 67.2
Answer:
1,066cm
Step-by-step explanation:
First, subtract. 55 - 31 = 24
Then, multiply. 24 × 16 = 384
Next, multiply again. 22 × 31 = 682
Lastly, add. 384 + 682 = 1,066
Have a beautiful day!