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:
A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.
Triangle SET is similar to triangle SAR, so corresponding sides have the same ratio. This means
... ST : SR = ET : AR = 8.19 : 6.37
Then ST : TR = 8.19 : (6.37+8.19) = 8.19 : 14.56
Using division symbols, this is
... ST/TR = 8.19/14.56
Multiplying by TR gives
... ST = TR×(8.19/14.56) = 20.8×8.19/14.56
... ST = 11.7
Answer:
Its B i just got it right
Step-by-step explanation:
Answer:
23.607
Step-by-step explanation:
<em> Given:</em>
$65,575
9%
4 Year
4 x 9% = 0.36
65,575 x 0.36 = 23.607
<u><em>Not sure if it correct or not try my best </em></u>
