The correct answer is option B. i.e. the experimental probability is 3% greater than the theoretical probability<span>
The </span>theoretical Outcomes are: HH HT TH TT
Then, the probability of getting HH = 1/4 = 0.25 = 25%
Now, Experimental Outcomes : <span>HH=28 HT=22 TH=34 TT=16
Total number of outcomes = 28+22+34+16 = 100
</span>Then, the probability of getting HH = 28/100 = 0.28 = 28%
Thus, <span>the experimental probability is 3% greater than the theoretical probability</span>
Given: £90 is divided among Aahil, James and Merav in the ratio 1:3:5.
To find: How much Merav gets.
Answer:
Let's assume the shares of each to be 'x'.
This implies that 1x + 3x + 5x = 90.
9x = 90
x = 90/9
x = 10
Substituting this value of x in the ratio,
- 1 × 10 = 10 [<em>Aahil's share</em>]
- 3 × 10 = 30 [<em>James' share</em>]
- 5 × 10 = 50 [<em>Merav's share</em>]
Therefore, Merav gets £50.
Hope it helps. :)
The maximum number of tourists in the third week will be maximum in the numberville city.The solution of f(x)=h(x) will be x(5,2).
<h3>What are equations?</h3>
The equation is actually a relationship between the numbers and the variables.
To calculate the number of the tourists in the third week we will put the value 3 in every function:
![f(x)=x^2+5x+10=(3)^2+(3\times 3)+10=29\\\\\\g(x)=3^x=3^3=27\\\\\\h(x)=10x=10\times 3=30](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B5x%2B10%3D%283%29%5E2%2B%283%5Ctimes%203%29%2B10%3D29%5C%5C%5C%5C%5C%5Cg%28x%29%3D3%5Ex%3D3%5E3%3D27%5C%5C%5C%5C%5C%5Ch%28x%29%3D10x%3D10%5Ctimes%203%3D30)
So we can see that the function third h(x) numberville city is having a maximum number of tourists.
The solution of f(x)=h(x) will be calculated as:
![x^2-3x+10=10x\\\\\\x^2-7x+10=0\\\\\\x^2-5x-2x+10=0\\\\\\x(x-5)-2(x-5)=0\\\\\\x=5,2](https://tex.z-dn.net/?f=x%5E2-3x%2B10%3D10x%5C%5C%5C%5C%5C%5Cx%5E2-7x%2B10%3D0%5C%5C%5C%5C%5C%5Cx%5E2-5x-2x%2B10%3D0%5C%5C%5C%5C%5C%5Cx%28x-5%29-2%28x-5%29%3D0%5C%5C%5C%5C%5C%5Cx%3D5%2C2)
Hence the solution of f(x)=h(x) will be x(5,2).
To know more about equations follow
brainly.com/question/2972832
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Answer:
im not sure what is supposed to go into the first two boxes, but the correct y intercept is 48
Step-by-step explanation:
first you subtract 288x on both sides, leaving the equation at -4y= -288x-192. then you want to get y by itself so you divide both sides by -4. -288/-4=72; -192/4=48. so the equation you are left with is y= 72x+48. since the equation is now in slope intercept form, you can now identify the y intercept as 48. hope this helps :)
Hey. Let me help you on this one.
In order for us to solve this problem, we will need to set up an equation which we can solve later. I will also be attaching an image with the work shown in case you don't understand my explanation. Make sure to read over it since it will help you with your studies.
We know that the length is twice the width, meaning that
![a=2b](https://tex.z-dn.net/?f=a%3D2b)
, with "a" standing for length, and "b" standing for width. Now that we have formed an equation for length, we can actually form an equation for perimeter.
![P=2(2b)+2b](https://tex.z-dn.net/?f=P%3D2%282b%29%2B2b)
Let's simplify the equation so it's easier and less confusing for us to solve it.
![50=6b](https://tex.z-dn.net/?f=50%3D6b)
Let's divide 6 from both sides, thus eliminating all variables except for b on the right side.
![8.3=b](https://tex.z-dn.net/?f=8.3%3Db)
"3" in 8.3 is repeating. This is very important to remember. Now, we know the width of the triangle. Let's find the length of the triangle so we can then multiply both numbers together and find the area.
![a=8.3*2](https://tex.z-dn.net/?f=a%3D8.3%2A2)
![a=16.6](https://tex.z-dn.net/?f=a%3D16.6)
"6" in 16.6 is repeating as well. It's crucial to remember as well. We know the values now, meaning that we can find the area of the rectangle.
![S=16.6*8.3](https://tex.z-dn.net/?f=S%3D16.6%2A8.3)
Answer: Area of the rectangle is 138.8 (with 8 repeating).