Answer:
32
Step-by-step explanation:
x^2 + 4y = 16 + 20 = 32
Just do substitution.
Hope this helps.
Good Luck
Answer:
161
Step-by-step explanation:
Experimental probability = 1/5
Theoretical probability = 1/4
note: 1/5 = 0.2 and 1/4 = 0.25
=============================================
How I got those values:
We have 12 hearts out of 60 cards total in our simulation or experiment. So 12/60 = (12*1)/(12*5) = 1/5 is the experimental probability. In the simulation, 1 in 5 cards were a heart.
Theoretically it should be 1 in 4, or 1/4, since we have 13 hearts out of 52 total leading to 13/52 = (13*1)/(13*4) = 1/4. This makes sense because there are four suits and each suit is equally likely.
The experimental probability and theoretical probability values are not likely to line up perfectly. However they should be fairly close assuming that you're working with a fair standard deck. The more simulations you perform, the closer the experimental probability is likely to approach the theoretical one.
For example, let's say you flip a coin 20 times and get 8 heads. We see that 8/20 = 0.40 is close to 0.50 which is the theoretical probability of getting heads. If you flip that same coin 100 times and get 46 heads, then 46/100 = 0.46 is the experimental probability which is close to 0.50, and that probability is likely to get closer if you flipped it say 1000 times or 10000 times.
In short, the experimental probability is what you observe when you do the experiment (or simulation). So it's actually pulling the cards out and writing down your results. Contrast with a theoretical probability is where you guess beforehand what the result might be based on assumptions. One such assumption being each card is equally likely.
Answer:
Hey!
Your answer is $118.75!
Step-by-step explanation: How did I get this?
<u>STEP 1:</u> So we know that for a ton of rock costs us $47.50...
To get 2 tons all we have to do is to MULTIPLY $47.50 by 2...
<em><u>(47.50 x 2 = 95)</u></em>
<u>STEP 2: </u>So for $95, you will get 2 tons of rock!
Now to get the .5 tons of rock in price form, we have to get the price of the whole 2.5 tons and DIVIDE BY 2
<em><u>(47.50 ÷ 2 = 23.75)</u></em>
<u>STEP 3:</u> So now we have the costs for 2 tons and the price for HALF a ton.
What we do now is easy...we ADD THE VALUES TOGTHER!
<em><u>(95 + 23.75 = $118.75)</u></em>
The result of $118.75 after adding them together is the PRICE OF 2 TONS!
<u>I HOPE THIS HELPED YOU!</u>
<u />
Answer:
3pi
Step-by-step explanation:
First find the area of the entire circle
A = pi r^2
A = pi * 2^2
A = 4 pi
We know that this is 3/4 of a circle so multiply the area by the fraction of the circle
3/4 * 4 pi
3 pi
