- Discriminant Formula: b² - 4ac, with a = x^2 coefficient, b = x coefficient, and c = constant
So firstly, using our equation plug in the values into the discriminant formula and solve as such:
(-7)² - 4 × 3 × 4
49 - 48
1
So our discriminant is 1. <u>Since 1 is positive and a perfect square, this means that there are 2 real, rational solutions.</u>
Let n = required random sample size.
Assume that the population standard deviation is known as σ.
Let m = sample mean.
At the 95% confidence level, the expected range is
(m - k(σ/√n), m + k(σ/√n))
where k = 1.96.
Therefore the error margin is 1.96(σ/√n).
Because the error margin is specified as 3% or 0.03, therefore
(1.96σ)/√n = 0.03
√n = (1.96σ)/0.03
n = 128.05σ²
This means that the sample size is about 128 times the population variance.
Answer:
Smallest sample size = 128.05σ², where σ = population standard deviation.
Hi! actually, the y intercept is 0, 8. hopefully this helps
I believe the answer is about 78.81% because you subtract 25 from 118. Then that would be 93. 118 is equal to the 100% and 118 divide by 1.18 equals 100. Divide 93 from 1.18 gives you the answer
The missing values in the inequality problem are;
A = -9
B = 72
C = 22
<h3>What is the explanation for the above?</h3>
5p - 8 (p + 1) > 16 ......................... (1) Given
5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given
Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,
Substitute 10 for p
⇒ 5 (-10) - 8(-10+1)> 16
⇒ -50 -8(-9) > 16
⇒ -50 + 72 > 16
Hence
22 > 16 → T
Please note that T is symbolic of "True" that is
it is true that 22 is greater than 16.
Learn more about inequality problems:
brainly.com/question/11613554
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