Hello!
You have to find the probabilities of them happening separately
To do this you do the amount of favorable outcomes over the total amount of outcomes
3 + 2 + 2 + 2 + 5 = 14 total fruit
The chance of Jack getting a peach is 5 / 14
The chance of Bethany getting an orange is 2 / 13 because Jack did not put the fruit back in so their is one less to choose from
You multiply the two probabilities to find the probability of them happening in a row
5/14 * 2/13 = 5/91
The answer is 5/91
Hope this helps!
The answer is C hope that helps
Lets just solve it all:
3-6+12-24+48-96
I got 48 and 96 because the change is *(-2)
Now just simplify:
-63
Your answer is -63.
Answer:
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Step-by-step explanation:
Let
x -----> the amount invested at 4%
(21,000 -x) ----> the amount invested at 10%
we know that
The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870
![4\%=4/100=0.04](https://tex.z-dn.net/?f=4%5C%25%3D4%2F100%3D0.04)
![10\%=10/100=0.10](https://tex.z-dn.net/?f=10%5C%25%3D10%2F100%3D0.10)
so
![0.04(x)+0.10(21,000-x)=870](https://tex.z-dn.net/?f=0.04%28x%29%2B0.10%2821%2C000-x%29%3D870)
Solve for x
![0.04x+2,100-0.10x=870](https://tex.z-dn.net/?f=0.04x%2B2%2C100-0.10x%3D870)
![0.10x-0.04x=2,100-870](https://tex.z-dn.net/?f=0.10x-0.04x%3D2%2C100-870)
![0.06x=1,230](https://tex.z-dn.net/?f=0.06x%3D1%2C230)
![x=\$20,500](https://tex.z-dn.net/?f=x%3D%5C%2420%2C500)
![21,000-x=\$500](https://tex.z-dn.net/?f=21%2C000-x%3D%5C%24500)
therefore
The amount invested at 4% is $20,500 and the amount invested at 10% is $500