Answer:
Step-by-step explanation:
Set up null and alternate hypothesis
H0: p =0.05
Ha: p>0.05
(One tailed test at 5% level)
Sample size n =384
Sample proportion p = 46/384 =0.1198
p difference = 0.1198-0.05 =0.0698
Std error = 
Test statistic = 4.23
p value = 0.000012
Since p<0.05, we reject null hypothesis
There is more than 99.95% probability that proportion is more than 0.05
We accept the claim that the risk has increased.
1. Draw a figure as the one attached.
2. Point M, the centroid, is the intersection point of the medians.
3. One of the most important properties of M is that it divides any of the medians, in the ratio 2:1, where the larger, is the segment from M to the Vertices.
4. So BM:MQ= 2:1
9x=2(5x-1)
9x=10x-2
x=2 (units)
BQ=BM+MQ=9*2+(5*2-1)=18+10-1=28-1=27 (units)
Answer:
4
Step-by-step explanation:
4(5x + 7) = 128
First, I'd do distributive property and get:
20x + 28 = 128
Then, subtract 28 from each side.
20x = 100
Next, I'd divide 100 by 20 = 5
x = 5
4 *(5(5) + 7) = 128
5 * 5 = 25
4 * (25 + 7)
4 * 32 = 128
Therefore, the perimeter = 2l + 2w
l = 4
w = 5x + 7
BUT we know that x = 5
w = 5(5) + 7 = 32
2(4) + 2(32)
8 + 64 = 72
Therefore, the perimeter would be 72 inches.
