Answer:
10
Step-by-step explanation:
2+(2x4)
2x4=8
2+8=10
This looks like scalar matrix multiplication. The idea here is to multiply the scalar 3 by each item inside the matrix.
Doing so leads to the answer [3 -12 15 -21]
Side note: I'm assuming the matrix given to you has 1 row and 4 columns.
Answer:
an = 12 -7(n-1)
an = 19-7n
Step-by-step explanation:
The explicit formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and d is the common difference
a1 =12
We find d by taking the second term and subtracting the first term
d = 5-12
d = -7
an = 12 -7(n-1)
We can simplify this
an = 12 -7n+7
an = 19-7n
Answer:
The mean and standard deviation of Y is $6.56 and $2.77 respectively.
Step-by-step explanation:
Consider the provided information.
Let Y represent their profit on a randomly selected pizza with this promotion.
The company is going to run a promotion where customers get $2 off any size pizza.
Therefore, ![Y=\text{Profit}-\$2](https://tex.z-dn.net/?f=Y%3D%5Ctext%7BProfit%7D-%5C%242)
![Y=X-\$2](https://tex.z-dn.net/?f=Y%3DX-%5C%242)
So the mean will be reduced by 2.
![\mu_Y=\mu_X-\$2](https://tex.z-dn.net/?f=%5Cmu_Y%3D%5Cmu_X-%5C%242)
![\mu_Y =\$ 8.56 - \$2](https://tex.z-dn.net/?f=%5Cmu_Y%20%3D%5C%24%208.56%20-%20%5C%242)
![\mu_Y =\$6.56](https://tex.z-dn.net/?f=%5Cmu_Y%20%3D%5C%246.56)
If we add or subtract any constant number from a given distribution, then the mean is changed by the same number(i.e constant number) but the standard deviation will remain the same.
Therefore ![\sigma_Y=\sigma_X=2.77](https://tex.z-dn.net/?f=%5Csigma_Y%3D%5Csigma_X%3D2.77)
Hence, the mean and standard deviation of Y is $6.56 and $2.77 respectively.