9) We have: 23,15% × 35 = 8,1025 kg
There are 8,1025 kilograms of cashew nuts were there in the mixed nuts
10) We have:
- 25 × 64% = 16 mangoes
- 25× 16% = 4 avocados
Answer:
Step-by-step explanation:
- A. 134 is the mode, correct, repeated 5 times
- B. 111 is appears 3 times, incorrect , this number is not part of data set
- C. There are more data values between 130 and 139, correct, there are 8 of them
- D. There are 20 data values, incorrect , there are 23
Answer:
x^15y^12
Step-by-step explanation: you just take the number outside the "()" and multiply it to the 5 and 2. :)
Answer:
The area of the parallelogram is 
.
Step-by-step explanation:
Let's rewrite these two vectors:
Let's recall that the area of the parallelogram is the magnitude of the cross product between these vectors.
We can use the Determinant method to find it.
![u \times v=\left[\begin{array}{ccc}i&j&k\\1&-2&2\\0&3&-1\end{array}\right] = i((-2)*(-1)-2*3)-j(1*(-1)-2*0)+k(1*3-(-2)*0)=i(2-6)-j(-1)+k(3)=-4i+j+3k](https://tex.z-dn.net/?f=u%20%5Ctimes%20v%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C1%26-2%262%5C%5C0%263%26-1%5Cend%7Barray%7D%5Cright%5D%20%3D%20i%28%28-2%29%2A%28-1%29-2%2A3%29-j%281%2A%28-1%29-2%2A0%29%2Bk%281%2A3-%28-2%29%2A0%29%3Di%282-6%29-j%28-1%29%2Bk%283%29%3D-4i%2Bj%2B3k)
Now, the magnitude is the square root of each component squared. It will be:
Therefore the .
I hope it helps you!
