Answer:
R1620
Step-by-step explanation:
1620 ×1=1620
1620×2=3240
1620×3=4860
1620×4=6480
1620×5=8100
Answer:
x=11
Step-by-step explanation:
4x+11=5x (angle adb and edf are the same)
11=5x-4x
11=x
x=11
if you want you can check by doing...
(14*11-29)+(5*11)=180
It looks like the differential equation is

Factorize the right side by grouping.


Now we can separate variables as

Integrate both sides.



You could go on to solve for
explicitly as a function of
, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.
Answer:
82.88%
Step-by-step explanation:
Given that:
Mean (μ) = 16.7 pounds
Standard deviation (σ) = 3.8 pounds
Number of pounds eaten = 11.5 = x
P(11.5 ≥ x ≤11.5)
P(x ≤ 11.5) :
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≤ - 1.3684) = 0.085593 (Z probability calculator)
P(x ≥ 11.5) ;
Zscore = (x - μ) / σ
Zscore = (11.5 - 16.7) / 3.8
Zscore = - 5. 2 / 3.8
Zscore = −1.368421
P(Z ≥ - 1.3684) = 0.91441 (Z probability calculator)
P(Z ≥ - 1.3684) - P(Z ≤ - 1.3684)
0.91441 - 0.085593 = 0.828817
0.828817 * 100% = 82.88%
Absolute deviation is 92.40
Rearrange numbers from least to greatest to avoid confusion.
108, 112, 122, 145, 160
Mean = (108 + 112 + 122 + 145 + 160) / 5
= 647 / 5
= 129.40
Absolute deviation : (number - mean)
*absolute means that a number is always treated as a positive number contrary to its actual value
108 - 129.40 = 21.40
112 - 129.40 = 17.40
122 - 129.40 = 7.40
145 - 129.40 = 15.60
160 - 129.40 = <u> 30.60</u>
total absolute deviation 92.40
Mean absolute deviation = 92.40 / 5 = 18.48