Answer: 70/1001
Step-by-step explanation:
Choosing 4 boys from total of 8 boys is a combination of 8 when 4 is taken at a time:
8C4 = 8!/4!4!
= 70
Since they are all boys, that means we are choosing 0 girl from the 6 girls.
6C0 = 6!/6!0!
= 1
Choosing 4 students from a total of 6+8=14 students is a combination of 14 when 4 people is taken at a time:
14C4 = 14!/10!4!
= 1001
This will give a probability of:
(70 × 1)/1001
= 70/1001
Answer:
300 in³
Step-by-step explanation:
Hello There!
The prism shown is a rectangular prism
The formula for volume of a rectangular prism is
![Volume=lwh](https://tex.z-dn.net/?f=Volume%3Dlwh)
where l = length w = width h = height
so we are given all of the dimensions so to find the volume all we have to do is plug in the values into the formula
so
![V=10*5*6\\10*5=50\\50*6=300\\V=300 in^3](https://tex.z-dn.net/?f=V%3D10%2A5%2A6%5C%5C10%2A5%3D50%5C%5C50%2A6%3D300%5C%5CV%3D300%20in%5E3)
Answer:
You can afford $1,000 per month as a house payment.
You can get a home loan at 5.3% interest for 15 years (paid monthly).
Then, after 15 years, the price of house that you can afford would be:
A x (1 + (5.3/100)/12)^(12 x 15) = 2.2 x A
With payment of 1000$ per month in 15 years, then we have
2.2 x A = 1000 x 12 x 15 = 180000
=> The price of house that you can afford now, would be:
A = 180000/2.2 = 81818.2$
Hope this helps!
:)
Answer:
Answer: the 5-pound bag for $2.75 has the lowest price per pound.
Step-by-step explanation:
At the grocery store, she sees a 10-pound bag of potato for $5.90. It means that the cost per pound of potato is
5.9/10 = $0.59
She a 5-pound bag for $2.75. It means that the cost per pound of potato is
2.75/5 = $0.55
She sees a 11/2 pound bag for $0.99. It means that the cost per pound of potato is
5.5/0.99 = $5.56
Therefore, the 5-pound bag for $2.75 has the lowest price per pound.
Step-by-step explanation: