Find the value of 7w-2 given that - 2w-4=6 .
1 answer:
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Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ± ) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
Complete Question
Which of the following statements are true?
I. The sampling distribution of has standard deviation
even if the population is not normally distributed.
II. The sampling distribution of is normal if the population has a normal distribution.
III. When n is large, the sampling distribution of is approximately normal even if the the population is not normally distributed.
A I and II
B I and III
C II and III
D I, II, and III
None of the above gives the complete set of true responses.
Answer:
The correct option is D
Step-by-step explanation:
Generally the mathematically equation for evaluating the standard deviation of the mean() of samples is
hence the the first statement is correct
Generally the second statement is true, that is the sampling distribution of the mean () is normal given that the population distribution is normal
Now according to central limiting theorem given that the sample size is large the distribution of the mean () is approximately normal notwithstanding the distribution of the population