Answer:
P(X>4)= 0.624
Step-by-step explanation:
Given that
n = 10
p= 0.5 ,q= 1 - p = 0.5
Two fifth of 10 = 2/5 x 10 =4
It means that we have to find probability P(X>4).
P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)
We know that
![P(X=x)=(_{x}^{n})\ p^xq^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%28_%7Bx%7D%5E%7Bn%7D%29%5C%20p%5Exq%5E%7Bn-x%7D)
![P(X=0)=(_{0}^{10})\ 0.5^0\ 0.5^{10}=0.0009](https://tex.z-dn.net/?f=P%28X%3D0%29%3D%28_%7B0%7D%5E%7B10%7D%29%5C%200.5%5E0%5C%200.5%5E%7B10%7D%3D0.0009)
![P(X=1)=(_{1}^{10})\ 0.5^1\ 0.5^{9}=0.0097](https://tex.z-dn.net/?f=P%28X%3D1%29%3D%28_%7B1%7D%5E%7B10%7D%29%5C%200.5%5E1%5C%200.5%5E%7B9%7D%3D0.0097)
![P(X=2)=(_{2}^{10})\ 0.5^2\ 0.5^{8}=0.043](https://tex.z-dn.net/?f=P%28X%3D2%29%3D%28_%7B2%7D%5E%7B10%7D%29%5C%200.5%5E2%5C%200.5%5E%7B8%7D%3D0.043)
![P(X=4)=(_{4}^{10})\ 0.5^3\ 0.5^{7}=0.205](https://tex.z-dn.net/?f=P%28X%3D4%29%3D%28_%7B4%7D%5E%7B10%7D%29%5C%200.5%5E3%5C%200.5%5E%7B7%7D%3D0.205)
P(X>4)= 1 -P(X=0)-P(X=1)-P(X=2)-P(X=3)-P(X=4)
P(X>4)= 1 -0.0009 - 0.0097 - 0.043 - 0.117-0.205
P(X>4)= 0.624
Answer:
20 degrees
Step-by-step explanation:
Triangles= 180 degrees total
the tangeant line makes 90 degrees
then you add the seventy degrees
180-90-70=20
The intersection points of the equations represents; C: The time when the height of the ball and the bird are the same.
We are given;
The height of the baseball over time:
h = -16t² + 65t
The height of the bird over time:
h = 8t + 20
The intersection point will be the value of t when; 8t + 20 = -16t² + 65
Rearranging gives;
16t² + 8t - 45 = 0
Using online quadratic equation calculator gives us;
t = -1.94 s or t = 1.44 s
Now, since both equations measure height vs time, it means that the points of intersection tell us the time when the height of the ball and the bird are the same.
Read more about height modeled by quadratic equations at; brainly.com/question/16313346
You have to substitute each of the numbers given.
a.
2 + (3)^3
2 + 27
Answer: 29
b.
(1/2)^2
Answer: 1/4
c.
3(5)^2 + (3)
75+3
Answer: 78
d.
10(4) + (6)^2
40 + (6)^2
40 + 36
Answer: 76