Answer:
25 pieces
Step-by-step explanation:
let c = amt of candy
(c - 10 ) / 5 = 3
cross-multiply:
c-10 = 15
c = 25
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- First find the area of the whole circle
The equation is :
πr^2
Substitute the radius in:
π(5)^2
Solve:
Area of full circle = 25π
(Note : leave this answer in terms of 'pi' so it is easier to handle
Next, find the area of the sector
The equation for this is:
(angle/360) x πr^2
Substitute the values in:
(80/360) x π(5)^2
Solve :
Area of sector = (50/9)π
Now, find the area of the triangle:
1/2 absinC
Substitute the values in:
1/2(5)(5) x sin(80) = 12.31009691
Subtract this answer from the area of the sector
Answer = 5.14319607
Subtract this from the area of the whole circle
Answer = 73.39662073
To the nearest tenth, that would be 73.4 cm^2
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Answer:
Value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.
Let X = a random variable
So, X ~ N(
)
The z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean
= standard deviation
Now, we have to find that value which will be exceeded 85% of the time, i.e.;
P(X > 
) = 0.85
1 - P(X 
) = 0.85
P(X ) = 0.15
P( 
) = 0.15
P(Z ) = 0.15
Now, in the z table the critical value of whose less than area is 0.15 is given as 0.3853, i.e;
= 0.3853
= 25 + 1.9265 = 26.93
Therefore, value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
Maybe you forgot to put a picture, because 10z-3 is the most simple form. You can't simplify.
Answer:
18 maybe
Step-by-step explanation:
