Let n = total number of babies born
Let n₁ = 34 be the number of boy babies born.
Let n₂ = number of girl babies born.
Therefore
n₁ + n₂ = n
34 + n₂ = n
n₂ = n - 34 is the numbe of girl babies born.
Because the 54% of babies born in the week were boys, therefore
34/n = 54%
or
34/n = 0.54
Multiply each side by n.
34 = 0.54n.
n = 34/0.54 = 62.96
We can only have countable number of babies, therefore
n = 63.
n₂ = n - 34
= 63 - 34
= 29
Answer: 29 girl babies were born in the week.
The number in parenthesis after f is the x coordinate. Basically, it says which y coordinate is tied with an x value. In choice a, it says that when x is 0 y is 3, etc.
So, you can look at the graph to see which answer choice has a point from the graph. Choice a says (0,3), and that does not match. Choice b says (5,-1) and that does match. So the answer is B.
*(x,y)*
Answer:
Option B. The slope of VT is equal to the slope of ZX
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
![m=\frac{y2-y1}{x2-x1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By2-y1%7D%7Bx2-x1%7D)
step 1
Find the slope VT
we have
V(-7,-3),T(-4,0)
substitute in the formula
![m=\frac{0+3}{-4+7}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B0%2B3%7D%7B-4%2B7%7D)
![m=\frac{3}{3}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B3%7D%7B3%7D)
![m_V_T=1](https://tex.z-dn.net/?f=m_V_T%3D1)
step 2
Find the slope ZX
we have
Z(0,4),X(6,10)
substitute in the formula
![m=\frac{10-4}{6-0}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B10-4%7D%7B6-0%7D)
![m=\frac{6}{6}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B6%7D%7B6%7D)
![m_Z_X=1](https://tex.z-dn.net/?f=m_Z_X%3D1)
therefore
The slope of VT is equal to the slope of ZX