Answer:
Probability that exactly 5 of them have blue eyes is 0.1165.
Step-by-step explanation:
We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.
The above situation can be represented through Binomial distribution;
![P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20%5Cbinom%7Bn%7D%7Br%7Dp%5E%7Br%7D%20%281-p%29%5E%7Bn-r%7D%20%3B%20x%20%3D%200%2C1%2C2%2C3%2C.....)
where, n = number of trials (samples) taken = 40 students
r = number of success = exactly 5
p = probability of success which in our question is % of people
having blue eyes, i.e; 8%
<em>LET X = Number of students having blue eyes</em>
So, it means X ~ ![Binom(n= 40,p=0.08)](https://tex.z-dn.net/?f=Binom%28n%3D%2040%2Cp%3D0.08%29)
Now, Probability that exactly 5 of them have blue eyes is given by = P(X = 5)
P(X = 5) = ![\binom{40}{5}\times 0.08^{5} \times (1-0.08)^{40-5}](https://tex.z-dn.net/?f=%5Cbinom%7B40%7D%7B5%7D%5Ctimes%200.08%5E%7B5%7D%20%5Ctimes%20%281-0.08%29%5E%7B40-5%7D)
= ![658008 \times 0.08^{5} \times 0.92^{35}](https://tex.z-dn.net/?f=658008%20%5Ctimes%200.08%5E%7B5%7D%20%20%5Ctimes%200.92%5E%7B35%7D)
= 0.1165
Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.
Answer:
36
Step-by-step explanation:
50800-30000=10800/300=36
:)
Answer:
y = -3x + 7
Step-by-step explanation:
If the line is parallel, it will have the same slope. So, this line will have a slope of -3.
Plug in the slope and given point into y = mx + b, and solve for b:
y = mx + b
4 = -3(1) + b
4 = -3 + b
7 = b
Plug in the slope and y intercept into y = mx + b
y = mx + b
y = -3x + 7
So, the equation is y = -3x + 7
To solve the problem shown in the figure above you must keep on mind the following information:
1. The figure shows a parabola whose vertex is (0,0).
2. The x² indicates that the red parabola shown in the figure is vertical
3. and the sign - indicates that the red parabola opens down.
Therefore, you can conclude that the red parabola has the equation f(x)=-x²
So, the answer is B.