Answer: Translation: The school will build a fast soccer field that is 120m long and 60m wide, but around it there will be an 8m wide race track. Find the area of the terrain and the area of the track
Step-by-step explanation:
It's a little hard to tell from the gibberish in the choices but let's go with
Answer: 7 + 6yz
which is of second degree in its variables and has two variables. That's two differences than the first three, which are first degree univariate.
To answer this, we substitute 12 ft to the f(h) in the given equation,
f(h) = -8t² + 8t + 12 = 12
Subtracting 12 from both sides of the equation will give us an answer of,
-8t² + 8t = 0
Then, we transpose 8 to the other side and divide the equation by -8 and t, we get an answer of t = 1 second.
Answer:
![\frac{19}{12}\ pounds](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B12%7D%5C%20pounds)
or
![1\frac{7}{12}\ pounds](https://tex.z-dn.net/?f=1%5Cfrac%7B7%7D%7B12%7D%5C%20pounds)
Step-by-step explanation:
<u><em>The correct question is </em></u>
A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many more pounds of plant food does the landscaper need?
Let
x ----> the additional pounds of plant food needed for the landscaper
we know that
The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed
so
The linear equation that represent this problem is
![x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}](https://tex.z-dn.net/?f=x%2B1%5Cfrac%7B1%7D%7B4%7D%2B%5Cfrac%7B4%7D%7B6%7D%3D3%5Cfrac%7B4%7D%7B8%7D)
Convert mixed number to an improper fractions
![1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}](https://tex.z-dn.net/?f=1%5Cfrac%7B1%7D%7B4%7D%3D1%2B%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B4%2A1%2B1%7D%7B4%7D%3D%5Cfrac%7B5%7D%7B4%7D)
![3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}](https://tex.z-dn.net/?f=3%5Cfrac%7B4%7D%7B8%7D%3D3%2B%5Cfrac%7B4%7D%7B8%7D%3D%5Cfrac%7B3%2A8%2B4%7D%7B8%7D%3D%5Cfrac%7B28%7D%7B8%7D%3D%5Cfrac%7B14%7D%7B4%7D)
Substitute in the expression above
![x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B5%7D%7B4%7D%2B%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B14%7D%7B4%7D)
solve for x
Multiply by (4*6) both sides to remove the fractions
![24x+30+16=84](https://tex.z-dn.net/?f=24x%2B30%2B16%3D84)
Combine like terms left side
![24x+46=84](https://tex.z-dn.net/?f=24x%2B46%3D84)
subtract 46 both sides
![24x=84-46](https://tex.z-dn.net/?f=24x%3D84-46)
![24x=38](https://tex.z-dn.net/?f=24x%3D38)
Divide by 24 both sides
![x=\frac{38}{24}\ pounds](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B38%7D%7B24%7D%5C%20pounds)
simplify
![x=\frac{19}{12}\ pounds](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B19%7D%7B12%7D%5C%20pounds)
Convert to mixed number
![\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds](https://tex.z-dn.net/?f=%5Cfrac%7B19%7D%7B12%7D%5C%20pounds%3D%5Cfrac%7B12%7D%7B12%7D%2B%5Cfrac%7B7%7D%7B12%7D%3D1%5Cfrac%7B7%7D%7B12%7D%5C%20pounds)
Answer:
![P(X=7)](https://tex.z-dn.net/?f=%20P%28X%3D7%29)
And using the probability mass function we got:
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find the following probability:
![P(X=7)](https://tex.z-dn.net/?f=%20P%28X%3D7%29)
And using the probability mass function we got: