Answer:dilation
Step-by-step explanation:
Answer:
![\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C-1%260%5C%5C-1%26-1%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
In this question we have to subtract the corresponding entries of column of matrix 1 and the matrix 2 corresponding entries
![=\left[\begin{array}{cc}-1&0\\1&-2\\1&3\end{array}\right]-\left[\begin{array}{cc}-1&1\\2&-2\\2&4\end{array}\right] \\=\left[\begin{array}{cc}-1-(-1)&0-1\\1-2&-2-(-2)\\1-2&3-4\end{array}\right]\\=\left[\begin{array}{cc}-1+1&-1\\-1&-2+2\\-1&-1\end{array}\right]\\=\left[\begin{array}{cc}0&-1\\-1&0\\-1&-1\end{array}\right]](https://tex.z-dn.net/?f=%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%260%5C%5C1%26-2%5C%5C1%263%5Cend%7Barray%7D%5Cright%5D-%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%261%5C%5C2%26-2%5C%5C2%264%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1-%28-1%29%260-1%5C%5C1-2%26-2-%28-2%29%5C%5C1-2%263-4%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-1%2B1%26-1%5C%5C-1%26-2%2B2%5C%5C-1%26-1%5Cend%7Barray%7D%5Cright%5D%5C%5C%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C-1%260%5C%5C-1%26-1%5Cend%7Barray%7D%5Cright%5D)
Answer: 283 degrees (i think)
Step-by-step explanation:
Answer: the standard deviation is 2.4
Step-by-step explanation:
The formula for standard deviation is expressed as
s = √npq
Where
p = probability of success
q = probability of failure
n = number of samples
From the information given,
The probability of success, p is given as 0.2. It means that the probability of failure, q will be 1 - p = 1 - 0.2 = 0.8
There were 35 attempts. This means that total number of samples, n is 35
The standard deviation becomes
√35×0.2×0.8 = √5.6 = 2.366
Approximately 2.4
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:

y=60+25sin(pi/6)t
The maximum value will occur when
, and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is
. So




That is the number of months after April 15, which is 3 months. So July 15.