Answer:
the answer is -9
Step-by-step explanation:
3(2 - 5)
6 - 15
-9
Answer:
Step-by-step explanation:
a)
b)
c)
- 275 + 125x = 1850 - 100x
- 125x + 100x = 1850 - 275
- 225x = 1575
- x = 1575 / 225
- x = 7
The answer is 7 months
Answer:
It'll take 128 cubes to fill the prism.
Step-by-step explanation:
In order to solve this question we first need to find the volume of the cubes. The volume of a cube is given by the following formula:
volume = length³
So the cubes have the following volume:
volume = (1/4)³ = 1/64
Since we want to know how many of these cubes are needed to fill the prism, we need to divide prism's volume by the volume of the smaller cubes. We have:
number of cubes = (volume of prism)/(volume of cubes)
number of cubes = 2/(1/64)
number of cubes = 2*(64/1)
number of cubes = 128
It'll take 128 cubes to fill the prism.
Answer: Our required probability would be 0.9641.
Step-by-step explanation:
Since we have given that
Number of hours he works a day = 8
So, Number of minutes he worked in a day = ![8\times 60=480\ minutes](https://tex.z-dn.net/?f=8%5Ctimes%2060%3D480%5C%20minutes)
Number of calls = 220
So, Average ![=\bar{x}=\dfrac{480}{220}=2.18\ minutes](https://tex.z-dn.net/?f=%3D%5Cbar%7Bx%7D%3D%5Cdfrac%7B480%7D%7B220%7D%3D2.18%5C%20minutes)
Standard deviation ![=s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{1.5}{\sqrt{220}}=0.10](https://tex.z-dn.net/?f=%3Ds%3D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%3D%5Cdfrac%7B1.5%7D%7B%5Csqrt%7B220%7D%7D%3D0.10)
Mean = μ = 2.0 minutes
Standard deviation = σ = 1.5 minutes
Using the normal distribution, we get that
![z=\dfrac{\bar{x}-\mu}{s}\\\\z=\dfrac{2.18-2.0}{0.10}\\\\z=1.8](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B%5Cbar%7Bx%7D-%5Cmu%7D%7Bs%7D%5C%5C%5C%5Cz%3D%5Cdfrac%7B2.18-2.0%7D%7B0.10%7D%5C%5C%5C%5Cz%3D1.8)
So, the probability that Albert will meet or exceed his quota would be
![P(X\leq 2.18)=P(z\leq 1.8)=0.9641](https://tex.z-dn.net/?f=P%28X%5Cleq%202.18%29%3DP%28z%5Cleq%201.8%29%3D0.9641)
Hence, our required probability would be 0.9641.
Answer:
Joseph caught 7 tadpoles
Step-by-step explanation:
Let the number of tadpoles caught by Joseph be x
The number of tadpoles Wendy caught will be ;
9(x + 3)
After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;
Hence, mathematically;
9(x + 3)/2 - 6x = 3
Multiply through be 2
9(x + 3) - 12x = 6
9x + 27 -12x = 6
9x -12x = 6-27
3x = 21
x = 21/3
x = 7