Answer:
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 29.5
Standard deviation r = 5.2
Number of samples n = 59
Confidence interval = 90%
z-value (at 90% confidence) = 1.645
Substituting the values we have;
29.5+/-1.645(5.2/√59)
29.5+/-1.645(0.676982337100)
29.5+/-1.113635944529
29.5+/-1.11
= ( 28.39, 30.61)
Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)
Answer:
(a) -6
Step-by-step explanation:
P(x) = ax^3 +bx - 3
- P(-1) = -a-b-3 = 0
- therefore a+b=-3
- P(1) = a+b-3
- P(1) = -3 - 3 = -6
- (a)
It is 1 16/25
Hope it helps ;-)
Answer: x = -1
Step-by-step explanation:
Starting:
x-5(x+1)=3x+2
Simplify the left side:
-4x-5=3x+2
Move all the terms with an x to the left:
-7x-5=2
Move all the terms without an x to the right:
-7x=7
Divide both sides by -7:
x = -1
Answer:
Step-by-step explanation:
Mass of Antarctic iceberg - Mass of Rock Gibraltar=
= 4.55 * 10^{13} - 1.78 * 10^{12} = 45.5 * 10 ^{12}- 1. 78 * 10^{12}= 43.72 * 10^{12}
Answer: 43.72 * 10^12 kg