Answer:
There is significant difference between the proportions of group A and group B.
Step-by-step explanation:
In this question we need to perform an hypothesis test on the difference of proportions (Δπ) and determine if there is any significant difference between the two proportions.
The null and alternative hypothesis are:
The proportion of group A is 
.
The proportion of group B is 
.
The weighted average of p (to calculate s) is:
The estimated standard deviation is:
Then we can calculate z as
The P-value for z=2.36 is 0.009, which is less that the significance level of 0.05. The effect is significant and the null hypothesis is rejected.
There is significant difference between the proportions of group A and group B.
Answer:
53.5
Step-by-step explanation:
c = the height of the first 3 boys.
c = 54 + 48.5 + 46
c = 148.5
Now you add a fourth boy. His height is h.
A(h)= (c + h)/d
d = the total number of boys which is 4.
The new average is 50.5
A = (c + h)/d
50.5 = (148.5 + h) / 4 Multiply both sides by 4
202 = 148.5 + h Now subtract 148.5 from both sides
202 - 148.5 = h
h = 53.5
This is an angle of elevation problem. So, we use the tangent ratio.
tan84=x/150
this then becomes
x=150(tan84)
which simplifies to
150∗(tan84)=1427
Since she only begins to observe the building 5 feet higher than where it starts, we add 5+1427, so your final answer is 1432 feet tall!
Answer:
3x^2-8x-3y
Step-by-step explanation:
combine like turms and rearrange
Answer:
yeah
Step-by-step explanation:
