Answer:
x = ± sqrt(-49)
or x = ± 7i
Step-by-step explanation:
x^2 +49 = 0
Subtract 49 from each side
x^2 +49 -49 = 0-49
x^2 = -49
Take the square root of each side
sqrt(x^2) = ± sqrt(-49)
x = ± sqrt(-49)
We have to complex numbers to solve
x = ± sqrt(-1) sqrt(49)
sqrt(-1) = i
x = ±i *7
x = ± 7i
Answer: 1 ⁸/₂₁ litres
Step-by-step explanation:
First find a common multiple to enable you add them up:
= 21
21 will be the denominator.
Multiply each numerator by the number you get when you divide 21 by the denominator.
= 21/3 = 7
= 7 * 2 = 14
= 21/7 = 3
= 3 * 5
= 15

litres
There is no upper limit so, so x is greater than or equal to 24 (x ≥ 24)
Answer:
The answer is below
Step-by-step explanation:
a) For a normal model the sample size has to be equal or greater than 30 so that it can be a normal distribution.
b) Given that:
μ = 11.2 minutes, σ = 4.8 minutes, n = 45
The z score determines how many standard deviations the raw score is above or below the mean. It is given by:

For x < 10 minutes

Therefore from the normal distribution table, P(x < 10) = P(z < -1.68) = 0.0465
Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
hope this helps