Answer:
A
Step-by-step explanation:
Sum the product of the components in the first row of A with the corresponding components of the first column in B
Repeat this with the components in the second row of A with the corresponding components of the second column in B, that is
AB
= ![\left[\begin{array}{ccc}2&1\\3&4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%261%5C%5C3%264%5C%5C%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{ccc}3&1\\5&2\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%261%5C%5C5%262%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}2(3)+1(5)&2(1)+1(2)\\3(3)+4(5)&3(1)+4(2)\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2%283%29%2B1%285%29%262%281%29%2B1%282%29%5C%5C3%283%29%2B4%285%29%263%281%29%2B4%282%29%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}6+5&2+2\\9+20&3+8\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D6%2B5%262%2B2%5C%5C9%2B20%263%2B8%5C%5C%5Cend%7Barray%7D%5Cright%5D)
= ![\left[\begin{array}{ccc}11&4\\29&11\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D11%264%5C%5C29%2611%5C%5C%5Cend%7Barray%7D%5Cright%5D)
→ A
Answer:
Step-by-step explanation:
Given
Shape: Opening of a circular vase
Required
Determine the area
This opening implies a circle; hence the area will be calculated using area of a circle.
Solve for radius (r)
Substitute 6.75 for r in
--- Approximated
Answer:
P ( -1 < Z < 1 ) = 68%
Step-by-step explanation:
Given:-
- The given parameters for standardized test scores that follows normal distribution have mean (u) and standard deviation (s.d) :
u = 67.2
s.d = 4.6
- The random variable (X) that denotes standardized test scores following normal distribution:
X~ N ( 67.2 , 4.6^2 )
Find:-
What percent of the data fell between 62.6 and 71.8?
Solution:-
- We will first compute the Z-value for the given points 62.6 and 71.8:
P ( 62.6 < X < 71.8 )
P ( (62.6 - 67.2) / 4.6 < Z < (71.8 - 67.2) / 4.6 )
P ( -1 < Z < 1 )
- Using the The Empirical Rule or 68-95-99.7%. We need to find the percent of data that lies within 1 standard about mean value:
P ( -1 < Z < 1 ) = 68%
P ( -2 < Z < 2 ) = 95%
P ( -3 < Z < 3 ) = 99.7%
Answer:
<u>Triangle</u>
base 8
Height 6
Area 48
<u>Rectangle</u>
Length 16
Width 10
Area 160
48+48+160=256
<u>Total Area of the Hexagon</u>
256
Answer:
9
Step-by-step explanation:
The rate of change of a function f(x) in the closed interval [ a, b ] is
here [ a, b ] = [ 3, 7 ]
f(b) = f(7) = 47 and f(a) = f(3) = 11, hence
rate of change = 
= 
= 9
