Answer:
8 years approximately
The problem (I'm assuming is):
Solve
.
I put a t in the problem where I suspected it in went.
Step-by-step explanation:
![100e^{0.05t}=150](https://tex.z-dn.net/?f=100e%5E%7B0.05t%7D%3D150)
Divide both sides by 100:
![e^{0.05t}=\frac{150}{100}](https://tex.z-dn.net/?f=e%5E%7B0.05t%7D%3D%5Cfrac%7B150%7D%7B100%7D)
![e^{0.05t}=1.5](https://tex.z-dn.net/?f=e%5E%7B0.05t%7D%3D1.5)
Rewrite in logarithm form.
![\ln(1.5)=0.05t](https://tex.z-dn.net/?f=%5Cln%281.5%29%3D0.05t)
Divide both sides by 0.05:
![\frac{\ln(1.5)}{0.05}=t](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cln%281.5%29%7D%7B0.05%7D%3Dt)
Put left hand side into calculator:
![8.109 \approx t](https://tex.z-dn.net/?f=8.109%20%5Capprox%20t)
![t \approx 8.109](https://tex.z-dn.net/?f=t%20%5Capprox%208.109)
So about 8 years if I wrote down the equation correctly.
Answer:
The standard deviation (σ) = 0.05
Step-by-step explanation:
The question is to find the standard deviation.
STEEP 1: FIND THE MEAN
(10+9.9) ÷ 2 = 9.95
STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN
10-9.95= 0.05
0.05^2 = 0.0025
9.9 - 9.95= -0.0025
-0.0025^2 = 0.0025
STEP 3: FIND THE VARIANCE
0.0025+0.0025= 0.005
0.005/2= 0.0025
STEP 4: FIND THE STANDARD DEVIATION (σ )
√variance
√0.0025 = 0.05
Therefore
σ = 0.05.
From the standard deviation, the percentage probability of the higher value to occurs is
0.05×100= 5%
That means Doug has 95%
And Bob has 5%
Answer:
2.7 or in fraction form 2 7/10
Step-by-step explanation:
yes
Answer:
w= -3.75
Step-by-step explanation:
-5(4w+12) =15
-20w -60=15
-20w=75
w=-3.75
Solving for y:
4x-3y=10. (subtract 4x on both sides)
-3y=-4x+10. (divide by -3 on both sides)
y=4/3 x+10/3