Answer:
15
Step-by-step explanation:
The formula for factoring a sum of cubes is:
We have a=3f and b=5g here.
So a*b in this case is 3f*5g=15fg.
The ? is 15.
A whistle is made of a square tube with a notch cut in its edge, into which a baffle is brazed. Determine the dimensions d and θ
for the baffle. Take b = 6.5 cm.
1 answer:
Answer:
d = 7.51 cm
θ = 60°
Step-by-step explanation:
The baffle used in the notch of a whistle is a triangular baffle (Isosceles triangle OAB).
For the isosceles triangle, the sides with equal dimension are OA and OB which is represented with d
d = the vertical component of the side of a triangle
It is given by
6.5cm = d sin60
d = 6.5/sin60
d = 7.505553499465134
d = 7.51 cm -------- Approximated
To calculate angle θ
Angle on a straight line is = 180
So, 60 + 60 + θ = 180
θ= 180 - 120
θ = 60°
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Answer:
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of . So we have T = 2.3246
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg
The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).