Value of y = 30 and value of x = 30.3
Answer:
1.43%
Step-by-step explanation:
we have that we can solve it by means of binomial, in this case m = 25. Also the probability of head is 50%. we need to know when it falls 7 times, therefore x = 7
the formula is:
P (x) = mCx * p ^ x * q ^ (m-x)
we know that p is 0.5 therefore q is equal to 0.5, replacing:
P (7) = 25C7 * 0.5 ^ 7 * 0.5 ^ (25-7)
P (7) = 25! / (7! * (25-7)!) * 0.5 ^ 7 * 0.5 ^ (25-7)
P = 0.0143
that is, the probability is 1.43%
Answer:
m∠1 = 50°
m∠2 = 130°
Explanation:
m∠2 = 130° because of alternate exterior angles.
m∠1 = 50° because it is supplementary to m∠2. So, 180 - 130 = 50.
The volume of cone shaped popcorn cup is 75.36 cubic inches.
According to the given question.
The height of the popcorn cup = 8inches
And the diameter of the cup = 6 inches
⇒ Radius of the popcorn cup = 6/2 = 3 inches
As we know that, the volume of cone is calculated by the formula
volume of cone = (πr^2h)/3
Therefore, the volume of cone shaped popcorn cup
= 3.14((3)^2)(8)/3
= 3.14(3)(8)
= 75.36 cubic inches
Hence, the volume of cone shaped popcorn cup is 75.36 cubic inches.
Find out more information about volume of cone here:
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