Answer:
(5.871 `; 6.127)
Step-by-step explanation:
Given :
Mean = 6
Standard deviation. σ = 0.5
Samplr size, n = 100
Zcritical at 99% confidence = 2.58
The confidence interval :
Mean ± margin of error
Margin of Error = Zcritical * σ / sqrt(n)
Margin of Error = 2.58 * 0.5/sqrt(100) = 0.129
Confidence interval :
Lower boundary = 6.00 - 0.129 = 5.871
Upper boundary = 6.00 + 0.129 = 6.129
(5.871 `; 6.127)
Answer:
- Square brackets [ or ] are used when the end point is included.
- Parentheses ( or ) are used when the end point is not included.
Step-by-step explanation:
The domain is the horizontal extent of the graph. Here, it is from -2 to +3, with -2 included in the domain and +3 not included.
As an inequality, the domain is written ...
-2 ≤ x < 3
In interval notation, we use a square bracket for the "or equal to" case:
[-2, 3)
__
The range is the vertical extent of the function. Here, the range extends from -4 (not included) to +5 (included).
As an inequality, the range is written ...
-4 < y ≤ 5
In interval notation, the range is written using a square bracket for the "or equal to" case:
(-4, 5]
_____
<em>Comment on infinity</em>
There is no such thing as "equal to infinity" so an infinite limit is always represented in interval notation using a parenthesis.
It will be understood that population 6,000 billion (6*10^12) in 2017.
If this is not the case, follow the logic and the final number can be adjusted easily.
Mathematical answer:
In 2017: 6,000 billion=6000*10^9 =6*10^12
rate of increase = 1.3% per year (assumed constant)
final year = 2100
Population estimate in 2100
=6*10^12*(1.013^(2100-2017))
=6*10^12*(1.013^(83)
=6*10^12*(2.921352509198383)
=17.528*10^12
=17,528 billion.
Answer:
x = 0, y = -1
Step-by-step explanation:
10x = 5y + 5
y = 2x - 1
======================
10x = 5(2x - 1) + 5
10x = 10x - 5 + 5
x = 0
======================
y = 2x - 1
y = -1
Answer:
C
Step-by-step explanation:
4 x 4=16 and half of 4 is 2 so the answer is C)4
