Answer:
y=-2/3x-4
Step-by-step explanation:
Answer:
![r \: < \: - 13](https://tex.z-dn.net/?f=r%20%5C%3A%20%20%20%3C%20%20%5C%3A%20%20-%2013)
Step-by-step explanation:
The given inequality is
![- r \: > \: 13](https://tex.z-dn.net/?f=%20-%20r%20%5C%3A%20%20%3E%20%20%5C%3A%2013)
We need to simplify this inequality.
We multiply both sides by -1 and reverse the inequality sign.
This implies that:
![r \: < \: - 13](https://tex.z-dn.net/?f=r%20%5C%3A%20%20%3C%20%20%5C%3A%20%20-%2013)
This can also be written as:
![- 13 \: > r](https://tex.z-dn.net/?f=%20-%2013%20%5C%3A%20%20%20%3E%20r)
All these are equivalent to the given inequality.
Answer:
f(3) = -11, f(-7) = 19
Step-by-step explanation:
f(x) = -3x -2
1.
f(3) is the f(x) when x = 3 so where we see x in the equation we write 3 and calculate
f(3) = -3(3) -2 = -9 -2 = -11
2.
f(-7) = f( x= -7) = -3(-7) -2 = 21 -2 = 19
Answer:
0.608
0.926
Step-by-step explanation:
Total number of outcomes = Total number of women in the STEM program = 176
Number of favorable outcomes = The number of STEM participants in urban areas = 107
![\text {P(Woman is from an urban area)}=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\\\Rightarrow \text {P(Woman is from an urban area)}=\frac{\text{The number of STEM participants in urban areas}}{\text{Total number of women in the STEM program}}\\\Rightarrow \text {P(Woman is from an urban area)}=\frac{107}{176}\\\Rightarrow \text {P(Woman is from an urban area)}=0.608](https://tex.z-dn.net/?f=%5Ctext%20%7BP%28Woman%20is%20from%20an%20urban%20area%29%7D%3D%5Cfrac%7B%5Ctext%7BNumber%20of%20favorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20number%20of%20outcomes%7D%7D%5C%5C%5CRightarrow%20%5Ctext%20%7BP%28Woman%20is%20from%20an%20urban%20area%29%7D%3D%5Cfrac%7B%5Ctext%7BThe%20number%20of%20STEM%20participants%20in%20urban%20areas%7D%7D%7B%5Ctext%7BTotal%20number%20of%20women%20in%20the%20STEM%20program%7D%7D%5C%5C%5CRightarrow%20%5Ctext%20%7BP%28Woman%20is%20from%20an%20urban%20area%29%7D%3D%5Cfrac%7B107%7D%7B176%7D%5C%5C%5CRightarrow%20%5Ctext%20%7BP%28Woman%20is%20from%20an%20urban%20area%29%7D%3D0.608)
∴ The probability that she is from an urban area is 0.608
![\text {P(Woman is not from rural area)}=1-\frac{\text{The number of STEM participants in rural areas}}{\text{Total number of women in the STEM program}}\\\Rightarrow \text {P(Woman is not from rural area)}=1-\frac{13}{176}\\\Rightarrow \text {P(Woman is not from rural area)}=0.926](https://tex.z-dn.net/?f=%5Ctext%20%7BP%28Woman%20is%20not%20from%20rural%20area%29%7D%3D1-%5Cfrac%7B%5Ctext%7BThe%20number%20of%20STEM%20participants%20in%20rural%20areas%7D%7D%7B%5Ctext%7BTotal%20number%20of%20women%20in%20the%20STEM%20program%7D%7D%5C%5C%5CRightarrow%20%5Ctext%20%7BP%28Woman%20is%20not%20from%20rural%20area%29%7D%3D1-%5Cfrac%7B13%7D%7B176%7D%5C%5C%5CRightarrow%20%20%5Ctext%20%7BP%28Woman%20is%20not%20from%20rural%20area%29%7D%3D0.926)
∴ The probability that she is not from a rural area is 0.926