Answer:
Step-by-step explanation:
‘a’ in this question is the slope of the line. Slope is (y2-y1)/(x2-x1) for any two points. We can see the line intersects the point (0,0) and (-10/9) so the slope is -10/9 which is less than -1 so
a<-1
Answer:
![(x+1)^2+(y-2)^2=49](https://tex.z-dn.net/?f=%28x%2B1%29%5E2%2B%28y-2%29%5E2%3D49)
Step-by-step explanation:
The standard form for the equation of a circle is
where r is the radius, and the center is (h, k).
(h, k) = (-1, 2), r = 7
![(x-(-1))^2+(y-2)^2=7^2\\\\(x+1)^2+(y-2)^2=49](https://tex.z-dn.net/?f=%28x-%28-1%29%29%5E2%2B%28y-2%29%5E2%3D7%5E2%5C%5C%5C%5C%28x%2B1%29%5E2%2B%28y-2%29%5E2%3D49)
Ok, simple.
Carl has 4 less than triple the amount Toni has.
Toni has x amount of CDs.
Carl has 3x - 4 amount of CDs.
Hope this helps!
Answer:
72 cubic inches
Step-by-step explanation:
Volume of cone =
--1
Volume of cylinder =
--2
We are given that a cylinder should fit exactly inside the cone
On comparing 1 and 2 we can see:
![\text{Volume of cone}= \frac{1}{3} \text{Volume of cylinder}](https://tex.z-dn.net/?f=%5Ctext%7BVolume%20of%20cone%7D%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctext%7BVolume%20of%20cylinder%7D)
Since we are given the volume of cone is 24 cubic inches .
So, ![24= \frac{1}{3} \text{Volume of cylinder}](https://tex.z-dn.net/?f=24%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctext%7BVolume%20of%20cylinder%7D)
![24 \times 3= \text{Volume of cylinder}](https://tex.z-dn.net/?f=24%20%5Ctimes%203%3D%20%5Ctext%7BVolume%20of%20cylinder%7D)
![72= \text{Volume of cylinder}](https://tex.z-dn.net/?f=72%3D%20%5Ctext%7BVolume%20of%20cylinder%7D)
Hence the volume of cylinder is 72 cubic inches
Option D is correct.
Answer:
519
Step-by-step explanation:
Let's assume that the scores for the national verbal proficiency test follow a normal distribution.
Mean score (μ) = 500
Standard deviation (σ) = 75
According to a Z-score table, the score for the 60th percentile is roughly z = 0.253
For any score "x", the z-score is given by:
![Z=\frac{X-\mu}{\sigma}](https://tex.z-dn.net/?f=Z%3D%5Cfrac%7BX-%5Cmu%7D%7B%5Csigma%7D)
For z = 2.53:
![0.253=\frac{X-500}{75}\\X=519](https://tex.z-dn.net/?f=0.253%3D%5Cfrac%7BX-500%7D%7B75%7D%5C%5CX%3D519)
The raw score to the 60th percentile is 519.