The probability of rolling a 2 is 1/6. So if you roll 8 times you would expect to roll a 2:
8(1/6)=8/6=1 1/3 times.
Answer:√
6
cannot be simplified further because it has no perfect squares in it. However, we can evaluate it with a calculator and round to get
√
6
≈
2.45
Hope this helps!
Step-by-step explanation:
Answer:
A. On average the blood pressure levels before the stress reduction program were significantly higher than the systolic blood pressure levels after the stress reduction program, at 95% confidence level
Step-by-step explanation:
The confidence interval parameters is intended to detect if the new stress reduction program will lower the systolic blood pressure levels of employees
The difference between the the mean systolic blood pressure levels taken = The before systolic pressure - The after systolic blood pressure
The 95% confidence interval obtained = (5.6, 10.2)
Therefore, given that the values of the difference between the means are both positive, then there a difference as the confidence interval does not include zero (0), and at the 95% confidence level, the average systolic blood pressure levels before the stress reduction program are higher than the average systolic blood pressure levels after the program
Answer: See explanation
Step-by-step explanation:
ΔLNM and ΔLKN are 30°- 60°- 90° triangles
We have to find the length of LN before we can find the length of MN.
<em>In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3</em>
Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.
LN = √3 times the shorter leg
3 × √3 = 3√3
LN = 3√3
We now know the length of the longer leg in ΔLNM (3√3)
MN would be 3√3 × √3
3√3 × √3
= 3√9
= 3 × 3 = 9
MN = 9
ΔLKM is also a 30° - 60° - 90° triangle
The short leg is 6 m
The hypotenuse would be 12 m
The longer leg would be 6√3
Perimeter: 6 + 12 + 6√3
The perimeter is 18 + 6√3
Area: 1/2 × b × h
b = 6√3
h = LN = 3√3
6√3 × 3√3
18√9 = 18 × 3 = 54
Area: 54 m²
Hope it helps!!
hope this helps I found this in my notes and looked it up to see if its correct .
