Answer:
√3
Step-by-step explanation:
The given expression to be simplified is
but
Since √12=2√3,this implies that,
Therefore,
The simplified form of ,
is √3
Answer:
A
Step-by-step explanation:
Since each triangle is an equilateral triangle all side are the same length. Thus, one side is 15/3=5 inches. The perimeter of the entire figure would then be 3x6=18 since there are 6 sides.
Answer:
3.5
Step-by-step explanation:
a. The standard error is equal to the standard deviation divided by the square root of the sample size:
SE = (23 ppm)/√18 ≈ 5.42 ppm
b. The t statistic is given by the difference between the true and sample means, divided by the standard error:
t = (192 ppm - 180 ppm)/SE ≈ 2.21
c. The p-value is approximately 0.0204.
d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.
e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.
Divide by 2.5: 2.5(12.75x+24.50)/2.5 = 188.75/2.5 .
simplify: 12.75x + 24.50=75.5 .
subtract 24.50 from both sides
simplify: 12.75x = 51 .
x= 4.
