Answer:
78% (to the nearest tenth)
Step-by-step explanation:
Volume of a cube = (length )³
Let the length of the cube = y
Original volume = y³
if the length is decreased by 40%, then new length = 1- (40% of y)
= 1-0.4y
= 0.6%
New volume (after decreasing the length) = (0.6y)³
= 0.216y³
% Volume decrease = (Original volume - New volume)/Original Volume x 100%
= (y³ - 0.216y³)/ y³ x 100%
= 0.784y³/y³ x 100%
=78.4%
≈78%
<h3>
Answer: choice F) 12 & 1/2 square yards.</h3>
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We'll use this formula
a & b/c = (a*c + b)/c
to convert from a mixed number to an improper fraction.
Let's convert the first mixed number to an improper fraction
a & b/c = (a*c + b)/c
3 & 3/4 = (3*4 + 3)/4
3 & 3/4 = 15/4
Repeat the same idea for the second mixed number as well
a & b/c = (a*c + b)/c
3 & 1/3 = (3*3 + 1)/3
3 & 1/3 = 10/3
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In short we have
- 3 & 3/4 = 15/4
- 3 & 1/3 = 10/3
Doing these conversions is useful to be able to multiply the values like so:
(15/4)*(10/3) = (15*10)/(4*3) = 150/12 = (6*25)/(6*2) = 25/2
Now use your calculator to find that 25/2 = 12.5
We can then say....
12.5 = 12 + 0.5 = 12 + (1/2) = 12 & 1/2
The answer is choice F) 12 & 1/2 square yards.
Step-by-step explanation:
please type the question correctly, it's confusing. thanks
Answer:
D.) The expected value is 1.78
Step-by-step explanation:
The expected value of a probability distribution is evaluated using the formula.
Expected Value, 
Therefore, from the given probability distribution, we have:
E(X)=(0*0.3)+(1*0.2)+(2*0.16)+(3*0.2)+(4*0.04)+(5*0.1)
E(X)=1.78
The Expected value of X is 1.78.
The correct option is D.
Step-by-step explanation:
I don't know this math yet
sorry
