60 minutes = 1 hour<span>12 inches x 60 minutes = 720 inches per hour
</span><span>12 inches = 1 ft</span><span>720 inches per hour / 12 = 60 ft per hour</span> Tortoise B is faster.
Answer:
B
Step-by-step explanation:
If you don't understand some steps, comment it for me please.
1. Find diagonal.
d = 2r
d = 2(9)
d = 18
2. Find length of square.
each length of square = x
![x : 18 = 1 : \sqrt{2}](https://tex.z-dn.net/?f=x%20%3A%2018%20%3D%201%20%3A%20%5Csqrt%7B2%7D)
![\frac{x}{18} = \frac{1}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B18%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%20%7D)
![\sqrt{2}x = 18](https://tex.z-dn.net/?f=%5Csqrt%7B2%7Dx%20%3D%2018)
![x = \frac{18}{\sqrt{2} } = 9\sqrt{2}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B18%7D%7B%5Csqrt%7B2%7D%20%7D%20%20%3D%209%5Csqrt%7B2%7D)
3. Find area of circle and square.
Area for circle
![A = \pi r^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20r%5E2)
![A = \pi (9)^2](https://tex.z-dn.net/?f=A%20%3D%20%5Cpi%20%289%29%5E2)
![A = 81\pi = 254.4690...](https://tex.z-dn.net/?f=A%20%3D%2081%5Cpi%20%3D%20254.4690...)
Area for square
![A = (length)^2](https://tex.z-dn.net/?f=A%20%3D%20%28length%29%5E2)
![A = (9\sqrt{2})^2](https://tex.z-dn.net/?f=A%20%3D%20%289%5Csqrt%7B2%7D%29%5E2)
![A = 162](https://tex.z-dn.net/?f=A%20%3D%20162)
4. Subtract area of circle to area of square.
254.4690... - 162 = 92.4690...
5. Find the shaded region.
92.4690... / 4 = 23.1172...
Rounded to the nearest hundredth = 23.12
X - 8 > -3
x - 8 + 8 > -3 + 8
x > 5
The answer is the third choice.
Answer: 0.0775
Step-by-step explanation:
Given : Mean : ![\mu = 25](https://tex.z-dn.net/?f=%5Cmu%20%3D%2025)
Standard deviation : ![\sigma =15](https://tex.z-dn.net/?f=%5Csigma%20%3D15)
Sample size : ![n=36](https://tex.z-dn.net/?f=n%3D36)
Since its normal distribution , then the formula to calculate the z-score is given by :-
![z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
For x= 28.2 hours
![z=\dfrac{28.2-25}{\dfrac{15}{\sqrt{36}}}=1.28](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B28.2-25%7D%7B%5Cdfrac%7B15%7D%7B%5Csqrt%7B36%7D%7D%7D%3D1.28)
For x= 30 hours
![z=\dfrac{30-25}{\dfrac{15}{\sqrt{36}}}=2](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B30-25%7D%7B%5Cdfrac%7B15%7D%7B%5Csqrt%7B36%7D%7D%7D%3D2)
The P- value = ![P(1.28](https://tex.z-dn.net/?f=P%281.28%3Cz%3C2%29)
![=P(z](https://tex.z-dn.net/?f=%3DP%28z%3C2%29-P%28z%3C1.28%29%3D%200.9772498-0.8997274%3D0.0775224%5Capprox0.0775)
Hence, the probabiliy that the average time spent stydying for the sampe was between 28.2 and 30 hours = 0.0775
Answer:
0
Step-by-step explanation:
27+(-15)+(-12)=
= 27-15-12=
=0