Answer:
n is less than or equal to: 10
Step-by-step explanation:
10n+20=120
subtract 20
10n=100
divide by 10
n=10
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is

, the volume of a pyramid/cone is

.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is

where r is the radius.

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

Y = x/4 - <span>€
y = (1/4)x - </span><span>€
</span><span>
y = 0.25x - </span>€ comparing to y = mx + c
m = slope = 0.25 or (1/4)
Answer:
1/6; 1/2; 1/12; P(T|3) = 1/2; therefore, events are independent because P(T|3) = P(T).
Step-by-step explanation:
The probability of rolling a 3 on a six-sided die is 1/6. This is because there is one 3 out of 6 possibilities.
The probability of flipping a coin on tails is 1/2. This is because there is one side "tails" out of 2 possibilities.
The probability of rolling a 3 and flipping tails is 1/6(1/2) = 1/12.
P(T|3) = P(3 and Tails)/P(3) = 1/12 / (1/6) = 1/12(6/1) = 6/12 = 1/2
Since P(T|3) = P(3), these are independent events.
Answer:
x=0
Step-by-step explanation:
I must assume that your goal is to "solve for x." State your goal explicitly each time you post a problem.
Combining like terms, we get 4x = 0, so that x = 0.
Check: Is 5(0) - 13 = 0 - 13 true? YES