Answer: 16/13
Step-by-step explanation:
Facts:
Total: 26 restaurants
Pizza parlors: 13
9/13 do not sell alcohol
7/13 do not sell alcohol
Total probability (not serving alcohol): 16/13
Answer:
The depth of the water in the pool is 2.4 metres
Step-by-step explanation:
The Volume of Water in the Pool= 3000m³
Length of the Pool=50m
Width of the Pool=25m
Height=?
Volume of a Rectangular Prism= Length X Width X Height
3000= 50 X 25 X Height
3000= 1250H
H=3000/1250
Therefore, the Height of water in the pool = 2.4m
The water in the pool is 2.4 metres deep.
for the system of equations
the three matrices needed to use Cramer's Rule are:
![D=\left[\begin{array}{cc}a_1&b_1\\a_2&b_2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}c_1&b_1\\c_2&b_2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}a_1&c_1\\a_2&c_2\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26b_1%5C%5Ca_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Dc_1%26b_1%5C%5Cc_2%26b_2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Da_1%26c_1%5C%5Ca_2%26c_2%5Cend%7Barray%7D%5Cright%5D)
.
To use Cramer's Rule we have to calculate the three determinants listed below of the matrices listed below.
![D=\left[\begin{array}{cc}2&5\\-3&-2\end{array}\right] \\\\D_x=\left[\begin{array}{cc}-13&5\\3&-2\end{array}\right] \\\\D_y=\left[\begin{array}{cc}2&-13\\-3&3\end{array}\right]](https://tex.z-dn.net/?f=D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%265%5C%5C-3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_x%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-13%265%5C%5C3%26-2%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5CD_y%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%26-13%5C%5C-3%263%5Cend%7Barray%7D%5Cright%5D)
.
The value of the determinants are shown below.
The value of y is 
.
Answer:
1.46 x 10⁶g
Step-by-step explanation:
Given parameters:
Weight of each bowling ball = 7.3 x 10³g
Number of balls in the bowling alley = 2.0 x 10²bowling balls
Unknown
The weight of the balls in the alley = ?
Solution:
To find the weight of the balls in the alley, multiply the mass of each balls with the total number of balls;
Weight of the balls = 7.3 x 10³ x 2.0 x 10²
Weight of the balls = (7.3 x 2.0) x 10³⁺²
Weight of the balls = 14.6 x 10⁵g
Therefore, the weight of the balls = 1.46 x 10⁶g
