Step-by-step explanation:
spring water is 2.08/16= 13 cents per ounce
fresh water is 2.40/20= 12.5 cents per ounce
fresh water is .5 cents per ounce less expensive
Answer:GCF of 45 and 63 is 9.
Step-by-step explanation:
factors of 45 are 1,3,5,9,15,45
factors of 63 are 1,3,7,9,21,63
so the greatest common factor or GCF of 45 and 63 is 9
Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
In one hour, the population has increased from 100 to 570.
The population becomes
% of 100.
Hence, according to our observation, we can tell that the population of the bacteria grows up to 570% of previous hour.
(a)
The number of bacteria after t hours can be represented as
.
(b)
After 4 hours, the <u>number of bacteria will be</u>
.
(c)
The derivative of p(t) is
.
At t = 4, the value will be 183723.6268 ≅ 183724.
(d)
<u>The population will be 10,000 that is p(t) = 10000</u>.
.
There are
ways to select 3 from 9.
There are
ways to select 3 men from 5 men and
ways to select 3 women from 4 women.
If all three selected are men, then no woman was selected, and we have
ways we can do that.
1)
![P(All -3 -are -men)=[tex]\frac{5C_3 \times 4C_0}{9C_3}=\frac{5}{42}](https://tex.z-dn.net/?f=P%28All%20-3%20-are%20-men%29%3D%5Btex%5D%5Cfrac%7B5C_3%20%5Ctimes%204C_0%7D%7B9C_3%7D%3D%5Cfrac%7B5%7D%7B42%7D)
2) If all 3 are women then no man was selected, and we have
ways we can do that.
![P(All- 3- are- women)=\frac{5C_0 \times 4C_3}{9C_3}=\frac{1}{21}](https://tex.z-dn.net/?f=P%28All-%203-%20are-%20women%29%3D%5Cfrac%7B5C_0%20%5Ctimes%204C_3%7D%7B9C_3%7D%3D%5Cfrac%7B1%7D%7B21%7D)
3) If 2 men and 1 woman were selected, the we have
ways we can do that.
![P(2 -men -1 -woman)=\frac{5C_2\times 4C_1}{9C_3}=\frac{10}{21}](https://tex.z-dn.net/?f=P%282%20-men%20-1%20-woman%29%3D%5Cfrac%7B5C_2%5Ctimes%204C_1%7D%7B9C_3%7D%3D%5Cfrac%7B10%7D%7B21%7D)
4) If 2 women and 1 man is selected, then we have ![5C_1 \times 4C_2](https://tex.z-dn.net/?f=5C_1%20%5Ctimes%204C_2)
![P(2- women- 1 -man)=\frac{5C_1\times 4C_2}{9C_3}=\frac{5}{14}](https://tex.z-dn.net/?f=P%282-%20women-%201%20-man%29%3D%5Cfrac%7B5C_1%5Ctimes%204C_2%7D%7B9C_3%7D%3D%5Cfrac%7B5%7D%7B14%7D)