Answer:
Step-by-step explanation:
Change 2/5 to a decimal
2/5 = 0.4
Change 1 2/15 of a fluid ounce to a decimal.
1.133333
Set up your proportion.
0.4 / 1.133333 = x / 5 Cross multiply
0.4*5 = 1.133333*x
2 = 1.133333 x Divide by 1.1333333
2/1.33333 = x
x = 1.5 ounces.
He needs 1.5 ounces of red to make 5 ounces of purple.
Answer:
x= 1/e or x= 0.367
Step-by-step explanation:
:))) Your welcome
Answer:
c = 0.165
Step-by-step explanation:
Given:
f(x, y) = cx y(1 + y) for 0 ≤ x ≤ 3 and 0 ≤ y ≤ 3,
f(x, y) = 0 otherwise.
Required:
The value of c
To find the value of c, we make use of the property of a joint probability distribution function which states that

where a and b represent -infinity to +infinity (in other words, the bound of the distribution)
By substituting cx y(1 + y) for f(x, y) and replacing a and b with their respective values, we have

Since c is a constant, we can bring it out of the integral sign; to give us

Open the bracket

Integrate with respect to y

Substitute 0 and 3 for y



Add fraction


Rewrite;

The
is a constant, so it can be removed from the integral sign to give


Integrate with respect to x

Substitute 0 and 3 for x




Multiply both sides by 


Using proportions, it is found that the angular velocity at the tip of the blade is of 753.98 radians per minute.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each revolution has
radians, hence in one minute, the 120 revolutions will have a measure in radians of:
M = 120 x 2pi = 240pi = 753.98
Hence the angular velocity is of 753.98 radians per minute.
More can be learned about proportions at brainly.com/question/24372153
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