Answer:
Try B Or C
Step-by-step explanation:
Answer: -1.7
Step-by-step explanation:
Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.
i.e.![\mu=\$1200.0](https://tex.z-dn.net/?f=%5Cmu%3D%5C%241200.0)
![\sigma=\$100.00](https://tex.z-dn.net/?f=%5Csigma%3D%5C%24100.00)
Let x represents the monthly income.
Since . ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x= 1030 , we have
![z=\dfrac{1030-1200}{100}=-1.7](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1030-1200%7D%7B100%7D%3D-1.7)
Hence, the required z-score = -1.7
The terms of an arithmetic progression, can form consecutive terms of a geometric progression.
- The common ratio is:
![\mathbf{r = \frac{a + 5d}{a + d}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%7D)
- The general term of the GP is:
![\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20%28a%20%2B%20d%29%20%5Ctimes%20%28%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%29%5E%7Bn-1%7D%7D)
The nth term of an AP is:
![\mathbf{T_n = a + (n - 1)d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_n%20%3D%20a%20%2B%20%28n%20-%201%29d%7D)
So, the <em>2nd, 6th and 8th terms </em>of the AP are:
![\mathbf{T_2 = a + d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_2%20%3D%20a%20%2B%20d%7D)
![\mathbf{T_6 = a + 5d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_6%20%3D%20a%20%2B%205d%7D)
![\mathbf{T_8 = a + 7d}](https://tex.z-dn.net/?f=%5Cmathbf%7BT_8%20%3D%20a%20%2B%207d%7D)
The <em>first, second and third terms </em>of the GP would be:
![\mathbf{a_1 = a + d}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_1%20%3D%20a%20%2B%20d%7D)
![\mathbf{a_2 = a + 5d}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_2%20%3D%20a%20%2B%205d%7D)
![\mathbf{a_3 = a + 7d}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_3%20%3D%20a%20%2B%207d%7D)
The common ratio (r) is calculated as:
![\mathbf{r = \frac{a_2}{a_1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Cfrac%7Ba_2%7D%7Ba_1%7D%7D)
This gives
![\mathbf{r = \frac{a + 5d}{a + d}}](https://tex.z-dn.net/?f=%5Cmathbf%7Br%20%3D%20%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%7D)
The nth term of a GP is calculated using:
![\mathbf{a_n = a_1r^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20a_1r%5E%7Bn-1%7D%7D)
So, we have:
![\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}](https://tex.z-dn.net/?f=%5Cmathbf%7Ba_n%20%3D%20%28a%20%2B%20d%29%20%5Ctimes%20%28%5Cfrac%7Ba%20%2B%205d%7D%7Ba%20%2B%20d%7D%29%5E%7Bn-1%7D%7D)
Read more about arithmetic and geometric progressions at:
brainly.com/question/3927222
Answer:
192
Step-by-step explanation:
The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.
This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.
Answer: he worked 32 hours and make $512