E=Z*sqrt (p(1-p)/N), where E= error margin, p=proportion, N=sample size
Katrina's margin error at 85% confidence interval: E=1.96*sqrt (p(1-p)/100) = 0.196 sqrt (1(1-p))
Mathew's margin error at 99% confidence interval: E= 2.58*sqrt (p(1-p)/400) = 0.129 sqrt (p(1-p))
Since both obtained same estimate of proportion (that is, value of p), it can be seen that Mathew's estimate will have a small error (That is, 0.129 is smaller than 0.196). This can be attributed to larger sample size although a wider confidence (99%) interval was considered.
Step-by-step explanation:
it is negative so the slope must go downwards from left to right. since it is 1/3, for every 3 to the right, you go one down.
Answer:
Angle made by ramp with ground is ≈
Step-by-step explanation:
Diagram of given scenario is shown below.
Given that,
Horizontal Distance of Skateboard ramp is
ft.
Height of Skateboard ramp is
ft.
From figure,
It is forming a Right angle triangle
.
In
,
and
.
Clearly see that we need to find measure of angle
.
Using Trigonometric ratio:

So, 
Then 
Therefore, Angle made by ramp with ground is ≈
Answer:
a 95
b 932
c 50
d 131
Step-by-step explanation:
formula (C × 9/5) + 32 = F
Answer:
2 and 6
Step-by-step explanation: