The answer is -4 and 4, since if you multiply the two, you get the product “-16” and if you add the squares of the two, you would get 32. The other options would be +or- 16 and 1, or 8 and 2, but adding the squares of those would result in a number larger than 32, therefore, the answers are 4 and -4.
Answer: 4 and -4
Answer:
a) k should be equal to 3/16 in order for f to be a density function.
b) The probability that the measurement of a random error is less than 1/2 is 0.7734
c) The probability that the magnitude of a random error is more than 0.8 is 0.164
Step-by-step explanation:
a) In order to find k we need to integrate f between -1 and 1 and equalize the result to 1, so that f is a density function.
16k/3 = 1
k = 3/16
b) For this probability we have to integrate f between -1 and 0.5 (since f takes the value 0 for lower values than -1)
c) For |x| to be greater than 0.8, either x>0.8 or x < -0.8. We should integrate f between 0.8 and 1, because we want values greater than 0.8, and f is 0 after 1; and between -1 and 0.8.
Distributive property: a(b + c) = ab + bc
-6(8 + 12) = -6(8) + (-6)(12). I hope this helped!
Answer:
the lowest common multiple of the above numbers is 1800
Step-by-step explanation:
list all multiples of the given numbers and look which number is common in both numbers and find the lowest one
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The population proportion is
The sample size is
Generally the standard error is mathematically represented as
=>
=>
The sample proportion (the proportion living in the dormitories) is between 0.172 and 0.178
Generally
From the z-table
the probability that the sample proportion (the proportion living in the dormitories) is greater than 0.025 is mathematically evaluated as
From the z-table
Thus