Answer:
No, No, Yes, Yes
Step-by-step explanation:
Answer:
30 because of vertical angles.
Y = 2/3x + -8 or y = 2/3x - 8
Answer:
n = 400
Step-by-step explanation:
The formula for the error in our estimate is given by:
Standard Error : √ ( p(1-p)/ n)
Error = SE = Zα/2 √ ( p(1-p)/ n) where
Zα/2= critical value for 95% confidence level = 1.96
and we know our error is 3.5 %
But we do not the sample proportion p. Then what we can do is give an estimate of p in the absence of any other information.
In this case we will use p= 0.5 which is the value that maximizes the expression for the standard error :
if p = 0.8 then SE= 0.040
p = 0.3 then SE =0.036
p = 0.1 then SE = 0.030
p = 0.5 then SE = 0.050
Substituting
3.5/100 = 1.96 x √ (( 0.5 x 0.5 ) /n )
3.5/ (100 x 1.96 x 0.5 ) = 1/ √n
0.0357 = 1 /√n
n = 20²
n = 400
To round to the nearest ten, we will look at the number in the ones place, and determine if it is higher, lower, or equal to 5. In this case, 3 is less than 5, so we round down. This means that 483 rounded to the nearest ten is 480. :) I hope this helps you in the future! A common phrase you can think about is:
Four or less, give it a rest. 5 and above, give it a shove.
