Do 5x12x5x9 and the answer is 2700
Answer:
b. =8.5+1.96*3/SQRT(45), and =8.5-1.96*3/SQRT(45)
Step-by-step explanation:
Sample size (n) = 45
Sample mean (M) = 8.5 minutes
Variance (V) = 9 minutes
Z-score for a 95% confidence interval (z) = 1.96
A confidence interval is defined by the following expression:
Applying the given data:
Writing in Excel statements, the limits of the interval would be
=8.5+1.96*3/SQRT(45), and =8.5-1.96*3/SQRT(45)
Therefore, the answer is alternative b.
Answer:
{-7,5,18,24,32}
Step-by-step explanation:
Let's verify all cases to determine the solution to the problem.
CASE A) we have
-9,7,15,22,26
The number 22 is not included in the solution set of the compound inequality.
CASE B) we have
-7,5,18,24,32
The number 22 is not included in the solution set of the compound inequality.
CASE C) we have
16,17,22,23,24
The number 22 is not included in the solution set of the compound inequality.
CASE D) we have
18,19,20,21,22
The numbers 19,20,21,22 are not included in the solution set of the compound inequality.
Answer:
b = 16
Step-by-step explanation:
16*x + b*x + 4 = 0
Solving for x we get:
x₁,₂ = - b ± √ b² - 4*a*c ] / 2*a (1)
If we take a look to the square root
√ b² - 4*4*16 = √ b² - 256
if we make √ b² - 256 = 0
b² = 256 ⇒ b = 16
Then equation (1) becomes:
x₁,₂ = ( - 16 ± 0 ) / 32
x = - 1/2
