Complete Question:
a) Is it plausible that X is normally distributed?
b) For a random sample of 50 such pairs, what is the (approximate) probability that the sample mean courtship time is between 100 min and 125 min?
Answer:
a) It is plausible that X is normally distributed
b) probability that the sample mean courtship time is between 100 min and 125 min is 0.5269
Step-by-step explanation:
a)X denotes the courtship time for the scorpion flies which indicates that is a real - valued random variable, and since normal distribution is a continuous probability distribution for a real valued random variable, it is plausible that X is normally distributed.
b) Probability that the sample mean courtship time is between 100 min and 125 min
From the probability distribution table:
4 units, because a translation is a rigid motion, meaning it preserves segment length.
A quadrilateral, has 4 sides and its internal angles sum, add up to 360, now... you have 3 angles give.. .but we don't have C
so.. C is the difference of all the three angles from 360 or
whatever that is, now, you'll get some value in x-terms
so.... now once we know what C is
you can if you want, do a search in google for "inscribed quadrilateral conjecture", I can do a quick proof if you need one
but in short, for a quadrilateral inscribed in a circle, each pair of opposites angles are "supplementary angles", namely they add up to 180°
so.. what the dickens does all that mean? well D+B=180 and A+C = 180
now. we know what A is, 2x+1
and by now, you'd know what C is from 360-x-2x-1-148
so... add them together then and
solve for "x"
Answer:
1:yes 2:no 3:no 4:yes
Step-by-step explanation:
3*2=6 for the numerators
4*5=20 for the denominators
you can simplify this to make it 3/10 ✔️
2*5-10 for the numerators
6*5=30 for the denominators
you can simplify this to make it 1/3 ❌
1*1=1 for the numerators
10*5 for the denominators
you can turn this into 1/50 ❌
1*3=3 for the numerators
2*5=10 for the denominators
you can turn this into 3/10 ✔️
hope this helps! have a nice day! :)
Let's call our number <em>x</em>.
So we can setup the equation x² = 100.
To solve this equation, we square root both sides.
So we have x = ±10.
Always use plus or minus when square rooting both sides
of an equation so our answer is not only 10, it's also -10.
