Answer:
![\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-%5Cfrac%7B8%7D%7B%5Csqrt%7B117%7D%20%7D%20%5C%5C%5Cfrac%7B7%7D%7B%5Csqrt%7B117%7D%20%7D%5C%5C%5Cfrac%7B2%7D%7B%5Csqrt%7B117%7D%20%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
We are required to find a unit vector in the direction of:
![\left[\begin{array}{c}-8\\7\\2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-8%5C%5C7%5C%5C2%5Cend%7Barray%7D%5Cright%5D)
Unit Vector, 
The Modulus of 
=
Therefore, the unit vector of the matrix is given as:
Answer:
n = 8
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define Equation</u>
6n + 7 = 55
<u>Step 2: Solve for </u><em><u>n</u></em>
- Subtract 7 on both sides: 6n = 48
- Divide 6 on both sides: n = 8
<u>Step 3: Check</u>
<em>Plug in n into the original equation to verify it's a solution.</em>
- Substitute in <em>n</em>: 6(8) + 7 = 55
- Multiply: 48 + 7 = 55
- Add: 55 = 55
Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Answer:
C. 19.
Step-by-step explanation:
Let's find the answer.
Step 1: divide the first number of 76, which is 7, by 4 and find the integer part.
7/4=1.75, so the integer part is 1.
Step 2: subtract from 7 the (integer part times 4)
7-(1*4)=3
Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.
Step 4: find how many times we need to add 4s to reach 36, so:
4+4+4+4+4+4+4+4+4=36 which means that:
36/4=9
Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:
1 and 9 giving 19, so the answer is:
76/4=19.
In conclusion the answer is C. 19.
Answer:
Step-by-step explanation:
Given claim : From the time shoots are planted 90 days on average are required to obtain the first berry.
. The sample mean is 92.3 days. The corporation wants to know if the mean number of days is different from the 90 days claimed.
As we know that the null hypotheses shows there is no statistical difference between the groups but the alternative hypothesis is opposite to it, it shows there is difference.
Thus , the correct hypotheses will be :-
Answer:
i believe it's 31°. not messing around either
