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:
Answer:
2022
Step-by-step explanation:
2 + 4x = y
y = 2 + 4(505)
y = 2 + 2020
y = 2022
Question 1:
A = w * l
A = 5432m^2
l = 97
A / l = w
5432 / 97 = 56
w = 56
Question 2:
Perimeter of rectangle = 2w + 2l
P = 336
w = 79
P - 2w = 2l
336 - 158 = 178
178 / 2 = 89
l = 89
Answer:
K = 2/1
Step-by-step explanation:
Constant of proportionality can be found using any two given pair of values.
Constant of proportionality = y/x
Therefore, using (1, 2) , we have
Constant of proportionality = y/x = 2/1 = 2
Or it can be written as: k = ²/1 = 2
Hence the value of the expression above are as listed below
<em>f(6+4) = 25</em>
<em>f(6)+f(4) = 20</em>
<em>f(6-4) = 1</em>
<em>f(6)-f(4) = 6</em>
<em>f(6*4) = 67</em>
<em>f(6)*f(4) = 91</em>
<h3>Functions and values</h3>
Given the expression below f(x) = 3x - 5
f(6+4) = f(10) =3(10) - 5
f(6+4) = 25
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)+f(4) = 13+7
f(6)+f(4) = 20
f(6-4) = f(2) =3(2) - 5
f(6-4) = 1
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)-f(4) = 13-7
f(6)-f(4) = 6
f(6*4) = f(24) =3(24) - 5
f(6*4) = 67
f(6) = 3(6) - 5
f(6) = 18 - 5 = 13
f(4) = 3(4) - 5
f(4) = 7
f(6)*f(4) = 13*7
f(6)*f(4) = 91
Learn more on function and values here: brainly.com/question/2284360
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