Answer:
the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
Step-by-step explanation:
Given the data in the question;
μ_x = 10 pound bags
standard deviation s_x = 0.24 pounds
sample size n = 4
The bag weights are normally distributed so;
p( x' less than 9.8 ) will be;
p( (x'-μ_x' / s_x') < (9.8-μ_x' / s_x') )
we know that;
μ_x' = μ_x = 10
and s_x' = s_x/√n = 0.24/√4
so; we substitute
p( z < ( (9.8 - 10) / (0.24/√4) )
p( z < -0.2 / 0.12 )
p( z < -1.67 )
{ From z-table }
⇒ p( z < -1.67 ) = 0.0475 ≈ 0.05
Therefore, the probability that a sample of 4 bags will have a mean weight less than 9.8 pounds is 0.05
The angle of measure 1 is equivocal to its adjacent angle, so M<1 = 39 degrees
Because the summation of all angles of a triangle need to be 180 degrees, we can find M<3. We have an angle of 39 degrees and a right angle which is 90 degrees.Therefore M<3 is equal to 51 degrees
Answer:
Weight of copper: 62,000 lbs. (31 tons). Weight of framework: 250,000 lbs. (125 tons). Weight of concrete foundation: 54,000,000 lbs. Thickness of copper sheeting: 3/32 of an inch, the thickness of two pennies placed together. the answer in 125
Step-by-step explanation:
Just as you would do it with any other number.
Write out some of it, then move the decimal point 3 places this way <=== .
Some of pi : 3.14159
Divide by 1,000 : 0.00314159
Answer:
Perimeter of rectangle = 2L + 2W
2L + 2 * 36 = 148
2L = 148 - 72
2L = 76
L = 38 inches