Answer:
(A) 21
Step-by-step explanation:
5x-15 needs to equal 90 since it is a right angle and 21 makes that true
Simplify (2x+y^2) (2y-4x-3y^2)
1 answer:
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Answer:
1.27%
Step-by-step explanation:
To solve this problem, we may consider a binomial distribution where a customer can either accept or reject (and return) the diskette package.
Lets consider some aspects:
1. From the formulation of the exercise we know that a package is accepted if it has at most 1 defective diskette. So our event A is defined as:
A = 0 or 1 defective diskette
2. The probability of a diskette being defective is 0.01
3. Each package contains 10 diskettes.
If X is defined as number of defective diskettes in the package, the probability of X is given by a binomial distribution with probability 0.01 and n=10
X ~ Bin(p=0.01, n=10)
Let us remember the calculation of probability for the binomial distribution:
with x = 0, 1, 2, 3,…, n
Where
n: number of independent trials
p: success probability
x: number of successes in n trials
In our case success means finding a defective diskette, therefore
n=10
p=0.01
And for x we just need 0 or 1 defective diskette to reject the package
Hence,
with x = 0, 1
So,
Now, because we have 3 packages and we might reject just 1 of them, we can find this probability like this:
Finally, we have that the probability of returning exactly one of the three packages is 1.27%
Answer:
The correct answer is the expression of the volume of the sphere is ×π×
and the expression of the volume of the leftover space is π×
×16 -
×π×
.
Step-by-step explanation:
Height of the given cylindrical can = 16 cms.
Diameter of the given cylindrical can = 16 cms.
Now a spherical ball just fits in this given cylindrical can. Thus the diameter of the ball is equal to the diameter of the can, equal to 16 cms.
Thus the expression of the volume of ball = ×π×
=
×π×
Expression of the volume of the cylindrical can is π×× h = π×
×16
Expression of the leftover volume would be volume of can minus volume of the ball = π××16 -
×π×
.