x = 3
-2 | 2.2(3) - 3.3 | = -6.6
-2 | 6.6 - 3.3 | = -6.6
-2 | 3.3 | = -6.6
-2 * 3.3 = -6.6
-6.6 = -6.6
Response:
The connection between battery capacity and time is:
The associated graph is provided.
Step-by-step explanation:
We will plot the battery's charged capacity against time.
The charging rate remains steady; hence, the relationship is linear.
Initially, at time t=0, the battery's capacity measures 0.2 (or 20%).
With each passing minute, an additional 5% of its capacity is accumulated. Thus, at t=1, the capacity becomes 0.2 + 0.05 = 0.25 (or 25%).
We can derive the slope for the linear function as:
Consequently, the correlation between battery capacity and time is:
Answer:
x = 11.33 years
Step-by-step explanation:
The equation for rainbow smelt is Y1 = −19.76x + 227
For bloater fish, the equation is Y2 = –92.57x + 1052
To find where these populations are equal:
–19.76x + 227 = –92.57x + 1052
Combine like terms:
-19.76x + 92.57x = 1052 - 227
72.81x = 825
Now divide by 72.81:
x = 825 / 72.81
Thus,
x = 11.33 years
Answer: 26.3 mm
Step-by-step explanation:
The two-standard deviations rule for outliers states that any value lying outside two standard deviations from the average is considered an outlier.
Given that the Mean is 23.5 millimeters (mm) and the standard deviation is 1.4 mm
The maximum thickness that should be reviewed = mean + 2 (standard deviation)
= 23.5 + 2(1.4)
= 23.5 + 2.8
= 26.3 mm
therefore, the maximum thickness warranting machine configuration review by the statistician = 26.3 mm.
Starting with the equation 4(3b + 2)² = 64, if we divide both sides by 4 we obtain
(3b + 2)² = 16. By taking the square root of both sides,
we derive two cases: (3b + 2) = 4 and (3b + 2) = -4.
Solving each equation for b yields:
3b = 2 or 3b = -6,
leading to b values of 2/3 and -2. Ultimately, the results specify that b = 2/3 and b = -2.
