Answer:
a) P(X =16 ) = 0.1853
b) 
= 0.0684
Step-by-step explanation:
GIVEN DATA:
n = 16
p = 0.90
from relation given probabllity can be solve
a)
P(X =16 ) = 0.1853
b) 
= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]
![= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]](https://tex.z-dn.net/?f=%3D%201%20-%20%5B%20%5E%7B16%7DC_%7B13%7D%20%2A%200.90%5E%7B13%7D%20%2A%20%281%20-%200.90%29%5E3%20%2B%5E%7B16%7DC_%7B14%7D%20%2A%200.90%5E%7B14%7D%20%2A%20%281%20-%200.90%29%5E2%20%2B%5E%7B16%7DC_%7B15%7D%20%2A%200.90%5E%7B15%7D%20%2A%20%281%20-%200.90%29%5E1%20%2B%5E%7B16%7DC_%7B16%7D%20%2A%200.90%5E%7B16%7D%20%2A%20%281%20-%200.90%29%5E0%20%5D)
= 0.0684
Answer:
They'll meet after 200 meters , if they simultaneously start running towards each other.
Step-by-step explanation:
Let x =distance travelled by dog and 200-x be the distance travelled by cat. Inorder to meet, the sum of their travelled distances shall be equal to 200 meters as they are far apart by 200 meters.
Dog: Distance =Speed x time: x=30t
Cat: Distance = 200-x
=24t
The sum of their distance travelled shall be 200 meters: 30t+ 24t= 200;54t=200;t=200/54=3.7secs
So they will meet after 3.7 seconds
To check:
Distance travelled by dog :x=30(3.7)
=111.11 meters
Distance travelled by cat: 24t=24(3.7)
=88.89 meters
Therefore since they are travelling towards each other and their distance apart is 200 meters, after 3.7 seconds they will meet because dog travelled 111.11 meters and cat travelled 88.89 meters and they covered already 200 meters as the sum of 111.11+ 88.89
=200 meters
The width is 8 cm . Because the rules to calculate the width that have length and area is take area divide the length . So you take 96 cm : 12 cm = 8 cm .
Answer:
$1.60 for tax, $33.60 all together
Step-by-step explanation:
32 x .05 = 1.6
Answer:
The value of 14(n+1) is 112.
Step-by-step explanation:
14n=98
n=98/14
n=7
-------------
14(n+1)=14(7+1)=14(8)=112
