length = 1/2 w+9
perimeter= 60 =2(l+w)
substitute in for length
60 = 2(1/2 w +9 +w)
60 = 2 (3/2 w +9)
distribute
60 = 3w + 18
subtract 18 from each side
42 = 3w
divide by 3 on each side
14 = w
length = 1/2 w + 9
length = 1/2 (14) +9
7 + 9
16cm
Answer:
1.125 m
Step-by-step explanation:
Given:
Initial height of the ball, 
Height after first bounce, 
Height after second bounce, 
So, the reduction in height after each bounce is half of the previous one. Thus, it follows a geometric sequence with the first term as 72 and common ratio of 
.
Therefore, the nth term of a geometric sequence is given as:
Here, 
. This gives,
.
Therefore, the height of the ball after sixth bounce is 1.125 m.
Assuming theres a multiple choice list to go with, but it wasnt provided.
if you isolate y to turn it into a y=mx+b equation, which is what this looks like,
4y+10 = 3x, next 4y= 3x - 10, assuming you isolate y again, then you divide the 4 to finish isolationg it leaving you with
y = 3/4x - 2.5
if this is incorrect please respond with answer choices and i will help from there,
hope this helped.
Answer:
z = 1.960
Step-by-step explanation:
The sample proportion is:
p = 715 / 2684 = 0.2664
The standard error is:
σ = √(pq/n)
σ = √(0.266 × 0.734 / 2684)
σ = 0.0085
For α = 0.05, the confidence level is 95%. The z-statistic at 95% confidence is 1.960.
The margin of error is 1.960 × 0.0085 = 0.0167.
The confidence interval is 0.2664 ± 0.0167 = (0.2497, 0.2831).
The upper limit is 28.3%, so the journal can conclude with 95% confidence that the true percentage is less than 29%.
