Answer:
Given :
The length of a rectangle is 4 cm more than its width
The area of the rectangle is 96 cm²
To Find :
Width of the rectangle.
Solution :
Let the length of the rectangle be x cm.
Let the breadth of the rectangle be y cm.
Case 1:
➣
➣ _____(1)
Case 2 :
We have the formula for area of the rectangle as follows :
Where,
l = length → x cm
b = breadth → y cm.
➣
➣
Substitute, x = 96/y in equation 1,
➣
➣
➣
➣
➣
Divide by minus sign,
➣
➣
➣
➣
➣
➣
➣
As per assumption, y = breadth of the rectangle.
•°• y = -12 is not acceptable.
Substitute, y = 8 in equation 1,
➣
➣
➣
➣
Step-by-step explanation:
Answer:
It would be 28 degrees.
Step-by-step explanation:
To find the angle, we simply need to pick two sides. We'll use the opposite side (24) and the adjacent side (45). Using these two, we can find the answer with the Tan function.
Tanα = Opp/Adj
Tanα = 24/45
Tanα = .53333
Tan-1α = .53333
α = 28 degrees
Answer:
460 miles, 1 week
Step-by-step explanation:
249 per week + 0.25 per mile
180 per week + 0.4 per mile
after 460 miles in 1 week the cost will be the same
Answer:
C. n=4
Step-by-step explanation:
got it
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.
