Answer:
Hence total 3.9 ounces of paint was used to make the mixture.
Step-by-step explanation:
Denise mixed 
ounces of blue paint with 
ounces of yellow paint.
Now we are asked to find how many ounces of paint did Denise mix.
i.e. we are asked to find the total number of paint used to form the mixture.
We know that:
and 
Hence total paint used= 
=
Hence total 3.9 ounces of paint was used to make the mixture.
Answer:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Part A
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
1) radius = diameter/2 = 4/2 = 2 inches
Volume = 3.14 × 2² × 10 = 125.6 inches³
2) Volume = 3.14 × 20² × 50 = 62800 cm³
3) radius = 16/2 = 8 mm
Volume = 3.14 × 8² × 10 = 2009.6 mm³
4) Volume = 3.14 × 9² × 9 = 2289.06 ft³
Part B
The formula for determining the volume of a sphere is expressed as
Volume = 4/3πr³
Where
r represents the radius of the sphere.
5) Volume = 4/3 × 3.14 × 5³ = 523.3 cm³
6) radius = 24/2 = 12 inches
Volume = 4/3 × 3.14 × 12³ = 7234.56 inches³
7) Volume = 4/3 × 3.14 × 1³ = 4.2 ft³
8) radius = 42/2 = 21 mm
Volume = 4/3 × 3.14 × 21³ = 38772.72 mm³
QUESTION A
The probability of an event is calculated using the formula:
There are 4 nines in a standard deck of cards. Therefore, there are 48 cards that are not nines.
Since there are 52 cards, the probability is calculated to be:
The probability is 12/13.
QUESTION B
Odds in favor of a particular event are given by the number of favorable outcomes to the number of unfavorable outcomes. The formula is written out to be:
Since we have that the number of favorable outcomes is 48 and the number of unfavorable outcomes is 4, we have that the odds in favor are given to be:
The odds are 12 to 1.
