Answer:The percentage of bottles expected to have a volume less than 32 or is 40.13%
Step-by-step explanation: The volumes of soda in quart soda bottles can be represented by a Nomal model with a= 32.3 oz
b=1.2 oz
Let S be the volume of randomly selected soda bottles
Y-score: S-a/b
For S=32 oz
Substitute the values of S,a and b into the equation
Y=32-32.3/1.2
Y=-0.25
Probability of bottles that have a volume less than 32 oz is
P(S<32)=P(Y<-025)= 0.40129
Percentage of bottles that have volume less than 32 oz will be
0.40127×100%=40.13%
Given:
A solution of 60% fertilizer is to be mixed with a solution of 21% fertilizer to form 234 liters of a 43% solution.
To find:
The quantity of the 60% solution in the mixture.
Solution:
Let x be the quantity of the 60% solution and y be the quantity of the 21% solution.
Quantity of mixture is 234. So,
...(i)
The mixture has 43% fertilizer. So,
Multiply both sides by 100.
...(ii)
Using (i) and (ii), we get
Divide both sides by -39.
Putting this value in (i), we get
Therefore, 132 liters of the 60% solution must be used.
The translation mode are-
- On a chessboard, moving a knight from (3, 2) to (5, 1) results in a translation of 2 squares up and 1 square left.
- The translation produced is 2 squares right, 1 square up, if a player advances his knight from (5, 1) to (6, 3).
<h3>What is translation?</h3>
In mathematics, a translation is the up, down, left, or right movement of a shape.
Some key features regarding translation are-
- Because the translated shapes appear to be identical in size as the original ones, they are consistent with one another.
- Just one or maybe more directions have been altered.
- There has been no change in its form because it is simply being moved from one location to another.
- The object may initially travel left, then turn right, and so on.
- The direction or the course of this shift in the object's position can also alter.
- Each point on the shape will move by the same number of units during translation.
- For instance, all of the points will move two units to that same right if one point moves two units to that same right.
To know more about translation, here
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Answer:
6
Step-by-step explanation:
Given : g(x) = and h(x)=2x-8.
g*h(x) =(2x-8).
We have square root(x-6) in composite function f*h(x).
So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.
Square roots are undefined for negative values.
Therefore, we can setup an inequality for it's domain x-6≥0.
Adding 4 on both sides, we get
x-6+6≥0+6.
x≥6.
Answer:
14 m actural sif 124075n
Step-by-step explanation:
