Answer:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
Step-by-step explanation:
For this case we can model the variable of interest with the hypergeometric distribution. And with the info given we can do this:
Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes
And for this case we want to find the probability that none of the scales selected would be defective so we want to find this:
And using the probability mass function we got:
And solving we got:
So then for the problem given the probability that the entire bath will be accepted (none is defective among the 4) is 0.583
X=110°
y=30°
Assuming that this is a parallelogram, ∠y and the 30° angle in the top right would be congruent, as would ∠x and the 110° angle in the bottom right.
They all should add up to 360°
110+110+30+30+40+40=360
which they do...
Y+4 would complete the rule for this translation.
Answer:
I'm pretty sure that it is A- The message travels through the spinal cord
Step-by-step explanation:
Consider the figure attached.
Let m(R)=α degrees and m(T)=β degrees.
1.
Angle R, is an inscribed angle, intercepting the arc WTS.
This means that the measure of the arc WTS is double the measure of the angle R,
so m(arc WTS) = 2α degrees.
2.
Similarly,
Angle T, is an inscribed angle, intercepting the arc WRS. So
m(arc WRS) = 2β degrees.
3.
m(arc WTS)+m(arc WRS)=360° since these arcs cover the whole circle.
thus
2α+2β=360°
divide by 2:
α+β=180°
this means T and R are supplementary angles.
