Answer:
Step-by-step explanation:
48-4=44,in the left
6×7=42,in the right
44>42,so > is the answer
Answer:
radius = 1.37 cm
height = 2.71 cm
Step-by-step explanation:
We are given volume = 16 m³.
Formula for volume of a cylinder is;
V = πr²h
Thus,
πr²h = 16
h = 16/πr²
Now formula for the surface area is;
S = 2πr² + 2πrh
Putting 16/πr² for h gives;
S = 2πr² + 2πr(16/πr²)
S = 2πr² + 2π(16/πr)
S = 2π(r² + 16/πr)
To minimize, we will find the derivative of S and equate to zero
S' = 2π(2r - 16/πr²) = 0
4πr - 32/r² = 0
4πr = 32/r²
r³ = 32/4π
r = ∛(32/4π)
r = 1.37 cm
From h = 16/πr²;
h = 16/(π × 1.37²)
h = 2.71 cm
Answer:
(-4, -8)
Step-by-step explanation:
Note that x in terms of y is x = 2y + 12. Substitute 2y + 12 for x in the second equation:
5(2y + 12) + 3y = -44
or
10y + 60 + 3y = -44
Then 13y= -104, and y = -8
From the first equation we find x = 2(-8) + 12, or x = -16 + 12, or x = -4
Then the solution is (-4, -8)
Answer:
The probability mass function (pmf) of X is:

Step-by-step explanation:
The random variable <em>X</em> is said to be a Negative Binomial random variable.
The random variable <em>X</em> is defined as the number of failures in a series independent and identical Bernoulli trials, before a specific number of success takes place.
For example, consider rolling a 5 on a six-sided die as the success and any other number as failure. Then the number of rolls before 5 occurs three times in a row can be defined as a negative binomial experiment.
The probability mass function of a negative binomial random variable <em>X</em> is:

Here,
<em>k</em> = number of successes
<em>r</em> = number of failures
<em>p</em> = probability of success