Answer:
its a 3/8 chance that there are girls
Step-by-step explanation:
Answer:
100 ft squared
Step-by-step explanation: you would usually round up to the nearest whole number with these and 9.7 would round to 10 and 10 times 10 would be 100
Answer:
0.3165
Step-by-step explanation:
This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of adults sampled = 9
x = Number of successes required = number of selected adults that say they were too young to get tattoos = 0
p = probability of success = probability of an adult that regrets getting a tattoo saying they were too young to get the tattoo = 12% = 0.12
q = probability of failure = 1 - p = 1 - 0.12 = 0.88
P(X=0) = ⁹C₀ (0.12)⁰ (0.88)⁹⁻⁰
P(X=0) = 0.31647838183 = 0.3165
Hope this Helps!!!
Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is ![\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D)
Thus, we can write ![Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}](https://tex.z-dn.net/?f=Tan%2860%29%3D%5Cfrac%7By%7D%7B24%7D%5C%5Cy%3D24%2ATan%2860%29%5C%5Cy%3D24%2A%5Csqrt%7B3%7D%20%5C%5Cy%3D24%5Csqrt%7B3%7D)
Approximate value (rounded to nearest tenth): ![24\sqrt{3} =41.6](https://tex.z-dn.net/?f=24%5Csqrt%7B3%7D%20%3D41.6)
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:
![Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1](https://tex.z-dn.net/?f=Sin%2853%29%3D%5Cfrac%7B41.6%7D%7Bx%7D%5C%5Cx%3D%5Cfrac%7B41.6%7D%7BSin%2853%29%7D%3D52.1)
Answer: 2
Step-by-step explanation: