Answer:
10 red apples and 6 green apples
Step-by-step explanation:
first you multiply 5×2 to get 10 apples
then you multiply 3×2 to get 6 apples
Answer:
Area is the measure of the amount of surface covered by something. Area formulas for different shapes are sometimes different, but for the most part, area is calculated by multiplying length times width. This is used when calculating area of squares and rectangles. Once you have the number answer to the problem, you need to figure out the units. When calculating area, you will take the units given in the problem (feet, yards, etc) and square them, so your unit measure would be in square feet (ft.2) (or whatever measure they gave you).
Step-by-step explanation:
By definition, the sine of an angle is given by:
![sin \alpha = \frac{C.O}{h}](https://tex.z-dn.net/?f=sin%20%5Calpha%20%3D%20%20%5Cfrac%7BC.O%7D%7Bh%7D%20)
Where,
C.O: opposite leg
h: hypotenuse
The hypotenuse is given by:
![h = \sqrt{(61}](https://tex.z-dn.net/?f=h%20%3D%20%20%5Csqrt%7B%2861%7D%20)
So, replacing values we have:
![sin \alpha = \frac{5}{\sqrt{61}}](https://tex.z-dn.net/?f=sin%20%5Calpha%20%3D%20%5Cfrac%7B5%7D%7B%5Csqrt%7B61%7D%7D)
Rewriting we have:
Answer:
the sine value of this function is:
A)5 times square root 61 over 61
Answer:
$240
Step-by-step explanation:
Fill in the given numbers and do the arithmetic.
![m=\dfrac{12,000+12,000rt}{12t}=\dfrac{12,000+12,000\cdot 0.04\cdot 5}{12\cdot 5}\\\\m=\dfrac{14,400}{60}=240](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B12%2C000%2B12%2C000rt%7D%7B12t%7D%3D%5Cdfrac%7B12%2C000%2B12%2C000%5Ccdot%200.04%5Ccdot%205%7D%7B12%5Ccdot%205%7D%5C%5C%5C%5Cm%3D%5Cdfrac%7B14%2C400%7D%7B60%7D%3D240)
Keri's monthly loan payment is $240 per month.
Answer:
![(a)\ \bar x = 1.19](https://tex.z-dn.net/?f=%28a%29%5C%20%5Cbar%20x%20%3D%201.19)
![(b)\ \sigma_x = 0.18](https://tex.z-dn.net/?f=%28b%29%5C%20%5Csigma_x%20%3D%200.18)
Step-by-step explanation:
Given
![n = 4](https://tex.z-dn.net/?f=n%20%3D%204)
![x: 1.45\ 1.19\ 1.05\ 1.07](https://tex.z-dn.net/?f=x%3A%201.45%5C%201.19%5C%201.05%5C%201.07)
Solving (a): The mean
This is calculated as:
![\bar x = \frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
So, we have:
![\bar x = \frac{1.45 + 1.19 + 1.05 + 1.07}{4}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B1.45%20%2B%201.19%20%2B%201.05%20%2B%201.07%7D%7B4%7D)
![\bar x = \frac{4.76}{4}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B4.76%7D%7B4%7D)
![\bar x = 1.19](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%201.19)
Solving (b): The standard deviation
This is calculated as:
![\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n - 1}}](https://tex.z-dn.net/?f=%5Csigma_x%20%3D%20%5Csqrt%7B%5Cfrac%7B%5Csum%28x%20-%20%5Cbar%20x%29%5E2%7D%7Bn%20-%201%7D%7D)
So, we have:
![\sigma_x = \sqrt{\frac{(1.45 -1.19)^2 + (1.19 -1.19)^2 + (1.05 -1.19)^2 + (1.07 -1.19)^2}{4 - 1}}](https://tex.z-dn.net/?f=%5Csigma_x%20%3D%20%5Csqrt%7B%5Cfrac%7B%281.45%20-1.19%29%5E2%20%2B%20%281.19%20-1.19%29%5E2%20%2B%20%281.05%20-1.19%29%5E2%20%2B%20%281.07%20-1.19%29%5E2%7D%7B4%20-%201%7D%7D)
![\sigma_x = \sqrt{\frac{(0.1016}{3}}](https://tex.z-dn.net/?f=%5Csigma_x%20%3D%20%5Csqrt%7B%5Cfrac%7B%280.1016%7D%7B3%7D%7D)
![\sigma_x = \sqrt{0.033867}](https://tex.z-dn.net/?f=%5Csigma_x%20%3D%20%5Csqrt%7B0.033867%7D)
![\sigma_x = 0.18](https://tex.z-dn.net/?f=%5Csigma_x%20%3D%200.18)