Answer:
true.
Step-by-step explanation:
(x - y)z = xz - yz
Apply the distributive property of multiplication over addition to the left side:
(x - y)z =
= z(x - y)
= xz - yz
This is the same as the right side, so the statement is true.
AC = 32
2x + 6x + 8 = 32 (plug in into equation)
8x + 8 = 32 (simplify)
8x + 8 (- 8) = 32 (-8) (subtraction of equality,)
(what you do to one side, you do to the other)
8x/8 = 24/8 (division of equality)
x = 3 (answer)
hope this helps
First you have to get the same variables on one side so you’d subtract 5.1w from both sides, making the equation -0.6w = -30
then you want to single out the variable, diving -0.6 on both sides making the new equation and the answer w = 50
hope this helps!
9514 1404 393
Answer:
A: 144 cm
B: 64 cm
C: 36 cm
Step-by-step explanation:
The volume of a cone is given by ...
V = (1/3)πr²h
Solving for h, we get ...
3V/(πr²) = h
Filling in the given values, we get ...
3(192π)/(πr²) = h
576/r² = h
Then the heights of the different cones are ...
A: r = 2, h = 576/4 = 144 . . . cm
B: r = 3, h = 576/9 = 64 . . . cm
C: r = 4, h = 576/16 = 36 . . . cm
In this question, the Poisson distribution is used.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
Parameter of 5.2 per square yard:
This means that
, in which r is the radius.
How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?
We want:

Thus:

We have that:


Then





Thus, the radius should be of at least 0.89.
Another example of a Poisson distribution is found at brainly.com/question/24098004