Answer:
Let y represents the ounces of first spice.
From the given statements, we draw a table as shown below:
ounces of spice Percentage ounces of salt
First spice y 3% 0.03x
Second spice 175 6% 175(0.06)
Final mixture y + 175 5% (x+15)(0.05)
Now, to solve for y
we have;
Final spice = First spice + second spice
Subtract 10.5 on both sides we have;
Simplify:
Subtract 0.05y on both sides
Simplify:
Divide both sides by -0.02, we get;
Therefore, 87.5 ounces of spices that is 3% salt should be added to 175 ounces of a spice that is 6% salt in order to make a spice that is 5% salt
The surface area of the rectangular prism is 544 cm^2.
There are 3 pairs of different rectangles that form the rectangular prism.
If we find the area of each and add them up, we will have the surface area.
Here are the 3 pairs of rectangles:
6 x 16 = 96
8 x 16 = 128
6 x 8 = 48
2(96) + 2(128) + 2(48) = 544
There are 3 x intercepts
(-2, 0) (0, 0) and (2, 0)
There is a y intercept at (0, 0)
Symmetric about x axis: No
Symmetric about y axis: No
Symmetric about the origin: Yes
Answer:
Expected value E = $0.45
Step-by-step explanation:
Expected value E = P×w - P'×l
Where;
P = probability of making the next 2 throw.
P = 223/406 × 223/406 = 0.3017
P' = probability of not making a throw.
P' = 1 - P = 1 - 0.3017
P' = 0.6983
w = expected win = $20
l = Expected loss = $8
Substituting the values;
E = 0.3017 × $20 - 0.6983 × $8
E = $0.4476
Expected value E = $0.45
