Question Q1:
Surface area of the cone:
![\pi r l + \pi r^{2}=125 \pi /: \pi rl+ r^{2}=125 5l+ 5^{2}=125 5l+25=125 5l=100 l=100:5=20 ](https://tex.z-dn.net/?f=%20%5Cpi%20r%20l%20%2B%20%5Cpi%20%20r%5E%7B2%7D%3D125%20%5Cpi%20%2F%3A%20%5Cpi%20%0A%0A%20rl%2B%20r%5E%7B2%7D%3D125%0A%0A5l%2B%205%5E%7B2%7D%3D125%0A%0A5l%2B25%3D125%0A%0A5l%3D100%0A%0Al%3D100%3A5%3D20%20%20%0A%20)
Answer:
l=20 cm.
Answer:
0.04865 or 4.9%
Step-by-step explanation:
This is a binomial distribution function which is expressed as:
![P(X=x){n\choose x}p^x(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%7Bn%5Cchoose%20x%7Dp%5Ex%281-p%29%5E%7Bn-x%7D)
Where:
- p=probability of success
- x=number of successful events
- n=size of the sample
Given that p=0.03, n=12 and x=2+, the probability of a cash back is calculated as:
![P(X=x){n\choose x}p^x(1-p)^{n-x}\\\\P(X\geq 2)=1-P(X\leq 1)\\\\=1-[{12\choose 0}0.03^0(0.97)^{12}+{12\choose 1}0.03^1(0.97)^{11}]\\\\\\=1-[0.69384+0.25751]\\\\\\=0.04865](https://tex.z-dn.net/?f=P%28X%3Dx%29%7Bn%5Cchoose%20x%7Dp%5Ex%281-p%29%5E%7Bn-x%7D%5C%5C%5C%5CP%28X%5Cgeq%202%29%3D1-P%28X%5Cleq%201%29%5C%5C%5C%5C%3D1-%5B%7B12%5Cchoose%200%7D0.03%5E0%280.97%29%5E%7B12%7D%2B%7B12%5Cchoose%201%7D0.03%5E1%280.97%29%5E%7B11%7D%5D%5C%5C%5C%5C%5C%5C%3D1-%5B0.69384%2B0.25751%5D%5C%5C%5C%5C%5C%5C%3D0.04865)
Hence, the probability of a cash return is 0.04865 or 4.9%
Speed is distance/time
90/1.5 = 60 mph
in 6 hours you would travel 360 miles because 6 • 60 is 360.
Answer:
~2.24
Step-by-step explanation:
$6*127 + $3 * (number adults) = $1053
3a = 291
a = 97
c = 127-97 = 30