If that happens, you'll take home a cool $262,144 .
(Less if you give your caddy a nice tip, which you really oughta.)
The probability that she makes 6 of them is 0.242
The probability is the likelihood that something will happen, to put it simply. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics.
Given,
A basketball player has a probability = 0. 603
The player shoots 10 free throws.
Let x be a random variable that represents the number of free throws made by a basketball player.
x ≈ Binomial (n,p)
p = 0.603
n= 10
P(x=k) = n![C_{k} p^{k} (1-p)^{n-k}](https://tex.z-dn.net/?f=C_%7Bk%7D%20p%5E%7Bk%7D%20%281-p%29%5E%7Bn-k%7D)
P(6) = ₁₀![C_{6} (0.603)^{6} (1-0.603)^{10-6}](https://tex.z-dn.net/?f=C_%7B6%7D%20%280.603%29%5E%7B6%7D%20%281-0.603%29%5E%7B10-6%7D)
= ![210(0.048)(0.397)^{4}](https://tex.z-dn.net/?f=210%280.048%29%280.397%29%5E%7B4%7D)
= 210 ( 0.048 ) ( 0.024)
= 0.242
Therefore, the probability that she makes 6 of them is 0.242
Learn more about probability here: brainly.com/question/28046280
#SPJ4
One of the rules of triangles is that if you have a 45 45 90 angle triangle, the two sides besides the hypotenuse are equal to each other. In this case, one of the sides is equal to x, so other side is equal to x as well. Now, to solve for x, you need to know the Pythagorean theorum:
![{a}^{2} + {b}^{2} = {c}^{2}](https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%2B%20%7Bb%7D%5E%7B2%7D%20%3D%20%7Bc%7D%5E%7B2%7D%20)
Both 'a' and 'b' are equal to x, and 'c' is equal to 3, so I'll make the substitutions below:
![{x}^{2} + {x}^{2} = {3}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%2B%20%7Bx%7D%5E%7B2%7D%20%3D%20%7B3%7D%5E%7B2%7D%20)
This can be simplified to:
![{2x}^{2} = 9](https://tex.z-dn.net/?f=%20%7B2x%7D%5E%7B2%7D%20%3D%209)
Now we just solve for x:
![\frac{2}{2} {x}^{2} = \frac{9}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B2%7D%20%7Bx%7D%5E%7B2%7D%20%3D%20%5Cfrac%7B9%7D%7B2%7D%20)
![\sqrt{ {x}^{2} } = \sqrt{ \frac{9}{2} }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%7Bx%7D%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B%20%5Cfrac%7B9%7D%7B2%7D%20%7D%20)
![x = \frac {\sqrt {9}}{\sqrt {2}} \times \frac {\sqrt {2}}{\sqrt {2}}](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%20%7B%5Csqrt%20%7B9%7D%7D%7B%5Csqrt%20%7B2%7D%7D%20%5Ctimes%20%5Cfrac%20%7B%5Csqrt%20%7B2%7D%7D%7B%5Csqrt%20%7B2%7D%7D%20)
Solution:
Total length of the clay snake =
inches
The length of the clay snake which broke off =
inches
We have to determine the length of the clay snake after broke off.
So, length of the clay snake = ![9 \frac{5}{8} - 1 \frac{7}{8}](https://tex.z-dn.net/?f=9%20%5Cfrac%7B5%7D%7B8%7D%20-%201%20%5Cfrac%7B7%7D%7B8%7D)
= ![\frac{77}{8} - \frac{15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B77%7D%7B8%7D%20-%20%5Cfrac%7B15%7D%7B8%7D)
LCM is 8
= ![\frac{77-15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B77-15%7D%7B8%7D)
= ![\frac{62}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B62%7D%7B8%7D)
=
inches.
Therefore, the length of the clay snake now is
inches.