<h3>
Answer: B) he made his first mistake in step 5. He used the statement he was trying to prove as a reason.</h3>
The goal of the proof is to show that SP = SQ. This should be the very last line of the proof. We cannot use this as support or reasoning for other steps (because we haven't proven it to be true or not). This is known as circular reasoning. The term "equidistant" means "equally distant", so in other words, Jaime is trying to prove that S is equally distant to the points P and Q.
regular hexagon
which means a hexagon with equal sides and equal interior angle which have three parallel sides
30 dollars
If she received 30 dollars in change then she paid with a 100 dollar bill
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
Radius = 6 inches
Arc lenght = 11pi inches
Degrees ?
Arc lenght = radius x angle in radians
A = r * a
Solving for a:
a = A/r = 11pi/6 = 5.759586532 radians
5.759586532 to degrees ==> a = 330 degrees
Answer:
330 degrees