We know that
the axis is equal to the diameter of a sphere
so
D=14 units
r=D/2-----> r=7 units
<span>the surface area of the sphere=4*pi*r</span>²------> 4*pi*7²=196*pi units²
the answer is the option
<span>C. 196 pi units^2</span>
The path is in the shape of a parabola, the horizontal length is 24, so the middle point is at x=12, the symmetry line is x=12, the highest point (the vertex) is at (12,6)
the equation in vertex form is y=a(x-12)²+6
next, find a by using either one of the two points, the starting point (0,0) or the end point (0,24). obviously (0,0) is easier to calculate:
0=a(0-12)² +6
a=-1/24
so the quadratic equation is y=-
Answer: Look at step by step
Step-by-step explanation:
(a) There are 119 stocks that increased in price out of 246 stocks so the probability of selecting a stock that is increased in price is 119/246 = 48.37%
(b) There are 112 stocks where it pays dividends so the probability so the probability of selecting a stock that pays dividends is 112/246 = 45.53%
(c) There are 49 stocks which satisfy the question so the probability is 49/246 = 19.92%
(e) There are 34 stocks which increase in price and pay dividends out of the 119 stocks that increase in price so the probability is 34/119 = 28.57%
(f) Using the same logic as (e), the probability is 85/134 = 63.43%
(g) From the requirements, we see that 49 stocks don't satisfy the requirements, so the probability is (246-49)/246 = 80.08%
Answer: X=4
Step-by-step explanation: distribute by subtracting 25 from both sides giving you 32=8X and then divide by 8 on both sides to get 4. Hope that helps
Answer:
Step-by-step explanation:
I'm ASSUMING this goes with a photo supplied in another question.
Part E reflection across the x axis leaves the x value identical but negates the y value (x, y) → (x, -y)
Part I translating 6 up and 1 left subtracts one from the x value and adds 6 to the y value (x, y) → (x - 1, y + 6)
Part K Chanel has the correct sequence as following her instructions maps each point on triangle ABC perfectly to triangle DEF
Preston was close but he either needed to rotate about the origin 180° then translate up 6 and left 1, or rotate 180° about the point (-½, -½) and translate up 7.
I think the quickest conversion is to rotate 180° about the point (-½, 3)
