Answer:
they sold 210 hot chocolates and 85 coffees
Step-by-step explanation:
We know that they sold $200 worth of drinks
x will be the number of hot chocolates sold
y will be the number of coffees sold
This means that
.75x+.5y=200
We also know that they sold 295 total drinks which means that
x+y=295
This is a system of linear equations which I will solve through substitution
x+y=295
Subtract y from both sides and divide by -1 to get
-x+295=y
Plug y into the first equation and get
.75x+.5(-x+295)=200
Distribute the .5 and simplify to get
.75x-.5x+147.5
.25x+147.5=200
Subtract 147.5 and then divide by .25 to get our x value
x=210
Now we can go back and plug this in into our equation
210+y=295
Subtract 210 to get y
y=85
This means that they sold 210 hot chocolates and 85 coffees
I think this is how
<span /><span><span><span>you change the - to a +
8/12 + -1/5 then
2/3+-1/5 then
10/15+-3/15
10+-3
---------
15
7/15
</span></span></span>
Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function , you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
Then, the denominator is zero when
Therefore, does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
You can observe that a linear function is obtained.
This function is equal to zero when , therefore the zero of the function is at (-7,0).
In general, the most probable distribution is in the ratio of the respective types, namely
Number of blue tails
=12*(53/(53+40))
=6.84
To check between 6 or 7, we use the hypergeometric distribution:
P(B=6)
=C(40,6)C(53,6)/(C(93,12)
=3838380*22957480/416579843773639
=0.211530
P(B=7)
=C(40,5)C(53,7)/(C(93,12)
=658008*154143080/416579843773639
=65563917120/269282381237
=0.243476
Hence the most probable number of blue tail fishes is 7
Note: it would be prudent to calculate P(B=8)=0.194443 to show that P(B=7) is indeed the highest value.