You didnt attach an image lol
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
The probability of drawing a red marble and then a green marble is:
P = 1/6.
<h3>How to find the probability?</h3>
In the jar we have a total of 16 marbles, such that:
- 10 are green.
- 2 are blue
- 4 are red.
First, the probability of getting a red marble is give by the quotient between the number of red marbles and the total number of marbles:
p = 4/16 = 1/4
Now we need to draw a green one, the probability is computed in the same way, but this time there are 15 marbles, because we already took one.
q = 10/15
The joint probability (first drawing red, then green) is given by the product between the individual probabilities:
P = p*q = (1/4)*(10/15) = 10/60 = 1/6
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
True answers for data in the plot are
The center is 13
The center is not 14
The Peak is 14.
It has three clusters
It is not symmetric to left or right it is bi-modal.
It is has a range from 10 to 15 most number of data points are 13 to 15.
Total number times Shelly waited is 16 times.
Step-by-step explanation:
- While taking cumulative frequency 56.75 percentage comes in 13%.
- It is the center point of the data.
- The 14 is not the center as it shows 93rd percent.
- It has three clusters 0-2 has one cluster,2-4 has 2nd cluster,5-8 third.
- It is not skewed on the left is has bi modal frequency has two heights.
- The person indeed waited for 16 times adding total dots.
- There was a zero 12 which created bi-modal distribution
Answer:
B: 280
Step-by-step explanation:
The regression line predicts that when x equals 5:
In order to find the value for y, one must simply apply the following logarithmic property:
if : 
then: 
Applying it to this particular problem:
Therefore, the regression line predicts y will equal 280 when x equals 5.
