Answer:
the probability that the average diameter of those sand dollars is more than 4.73 centimeters is 0.5910
Step-by-step explanation:
Given information:
mean, x = 5
standard deviation, σ = 0.9
number of sample, n = 16
now we calculate the probability that the average diameter of those sand dollars is more than 4.73 centimeters.
P(x>4.73) = P (z > (4.73 - x) / (σ )
= P (z > (4.73 - 4) / (0.9 )
= P (z > 0.203)
= 0.5910
Answer:
It turns out that all three altitudes always intersect at the same point - the so-called orthocenter of the triangle. The orthocenter is not always inside the triangle. If the triangle is obtuse, it will be outside. To make this happen the altitude lines have to be extended so they cross.
At the point when Hannah takes her first sweet from the sack, there is a 6/n chance it is orange.
This is because that there are 6 orange desserts and n desserts altogether.
When Hannah takes out her second sweet, there is a 5/(n-1) chance that it is orange.
This is because there are just 5 orange desserts let alone for an aggregate of n-1 desserts.
The possibility of getting two orange desserts in succession is the main likelihood increased by the second one: 6/n x 5/n–1
The question lets us know that the shot of Hannah getting two orange desserts is 1/3.
So: 6/n x 5/n–1 = 1/3
Now, rearrange this problem.
(6x5)/n(n-1) = 1/3
This gets to be:
30/(n² – n) = 1/3
Times by 3 on both sides:
90/(n² – n) = 1
What's more, doing likewise with (n² – n):
So (n² – n) = 90
Our answer is: n² – n – 90 = 0
Problem 1) Line n is the line of symmetry (not line o) because we can fold the lower half to match up with the upper half. The folding line is over line n.
Problem 2) I agree. Nice work on getting the correct answer. The folding line is a vertical line through the center
Problem 3) It's hard to say for sure, but I think the top left corner is NOT reflective over any line of symmetry no matter how you rotate it. So I would uncheck that box. I agree with your other choices though. Great job with those.
Answer:
what it is language
Step-by-step explanation: