Answer:
0.651%
Step-by-step explanation:
using Binomial expansion: nCr*p^n*(1-p)^(n-r)
probability he will get at least 5 hits in the game = probability he will get 5 hits in the game + probability he will get 6 hits in the game + probability he will get 7 hits in the game = 7C5*0.215^5*(1-0.215)^2 + 7C6*0.215^6*(1-0.215)^1 +7C7*0.215^7*(1-0.215)^0 = 21* 0.0004594*0.616225 + 7*0.00009877*0.785 + 1*0.000021235 = 0.00651 = 0.651%
Step-by-step explanation:
(3x + 2y =19)(3)
-9x + 8y =-29
9x + 6y = 57 <em><u>NOTE</u></em><em><u>:</u></em> we cross here 9x in first
-9x + 8y = -29 we cross here - 9x in second
Since 9x and - 9x are opposite
___________
6y +8y = 57 - 29
14y = 28
Y=28/14
Y=2
Replace y in second equation of this system:
-9x + 8y = - 29
-9x +8(2)= - 29
-9x + 16 = - 29
-9x = -29 - 16
-9x = - 45
X= -45/-9
X=5
Hope this helps..
#2. There are 10 tally marks for recess, and 7 for gym. Add 10 and 7 to get 17 friends.
#3. Corey sorts out his flowers. How many flowers did Corey sort?
#4. He has 16 friends. We are going to subtract the total amount of friends from responded friends. There are 6 friends coming, and 3 who are not, which is a total of 9. Subtract 9 from 16 to get 7. You can write this as 16-9=7
Answer: m∠E = 20.5°
m∠GPF = 47°
Step-by-step explanation: An inscribed angle is an alge formed with its vertex on the circle. Its relation with arc is that the measure of an inscribed angle is half the measure of the intersected arc. For that reason:
m∠E = 
m∠E = 
m∠E = 20.5°
Angle in F is:
m∠F = 
m∠F = 
m∠F = 26.5°
The angle GPF is external to the triangle EPF, so the angle can be found by the following definition: The measure of an external angle of a triangle equals the sum of the non-adjacent angles, i.e.:
m∠GPF = m∠E + m∠F
m∠GPF = 20.5 + 26.5
m∠GPF = 47°
