<u>Answer:</u>
Two events, A and B, are independent. If P(A) = 0.3 and P(B) = 0.2.The value of P(A and B) is 0.06
<u>Solution:</u>
Given that P(A) and P(B) are two independent events which means the occurrence of one event does not affect the occurrence of another event.
Here we have to find out P(A and B)
When P(A) and P(B) are two independent events, then P(A and B) can be found out by,
P(A and B) = P(A) P(B)
Given that P(A) = 0.3 and P(B) =0.2
P(A and B) = 0.3 0.2
P(A and B)= 0.06
Thus the value of P(A and B) is 0.06
Y=9.25 because inorder to solve this we need to first take 5*.3 which equals 1.5 now that we have this we can move on we now have the equation 1.5 + 2y = 20 so now we need to continue working on getting y by it self so we subtract 1.5 from each side and then that leaves us with 2y=18.5 now we divide by 2 which leaves us with y=9.25 enjoy=)
Answer:
2541 peanut cookies were sold
Step-by-step explanation:
A system of equations can be written to match the problem description. Let p and c represent the initial numbers of peanut and chocolate cookies, respectively. Then we have ...
p - c = 1820 . . . . Lyn had 1820 more peanut cookies
After selling 35% of her peanut cookies, Lyn had 1-0.35 = 0.65 of the original number left. Likewise, after selling 15% of her chocolate cookies, she had 1-0.15 = 0.85 of the original number left. Then after the sales, the difference in cookie count was 95:
0.65p -0.85c = 95
We only need to know the original number of peanut cookies (p), so we can use Cramer's rule to find the solution for p.
p = (-95 +0.85·1820)/(-0.65+0.85) = 1452/0.20 = 7260
The original number of peanut cookies Lyn had was 7260, so the number she sold is ...
0.35 · 7260 = 2541
_____
Cramer's rule says the solution to ...
ax +by =c
dx +ey =f
is given by ...
x = (ec-bf)/(ea-bd)
y = (fa-cd)/(ea-bd)
First the question is sayin that x will be substituted for -10
so for every x put -10
8(-10)=6(-10)-20
then you multiply to get the next expression
so you know that 6 times -10 =-60 and you know that 8 times -10=-80 so now you have
-80=-60-20
now you just solve so you would just subtract -60-20 which would equal -80
so your answer is -80=-80 which is true
Answer: 1/8
Step-by-step explanation:
Multiply the probabilities in order to get the compound probability:
P(odd number)= 5/10 because 5 numbers out of ten are odd
P(heads)= 1/2 because there is an equal to chance to get heads or tails
P(odd number)= same as before, 5/10 (independent events)
5/10*1/2*5/10
1/2*1/2*1/2= 1/8