The rate of change is the change in Y over the change in X.
Rate of change = (-5 - 0) / (-2 - -3)
Rate of change = (-5 ) / (-2+3)
Rate of change = -5 /1
Rate of change = -5
Answer: 0) 0.22
1) 0.20
2) 0.12
3) 0.14
4) 0.28
5) 0.04
<u>Step-by-step explanation:</u>
The total frequency is 33+30+18+21+42+6 = 150. This means they ran the experiment 150 times. The probability (P) is calculated by the satisfactory number of outcomes (frequency) divided by the total number of experiments/outcomes (total frequency):
![\begin{array}{c|c||lc}\underline{x}&\underline{f}&\underline{f\div 150}&\underline{\text{P}}\\0&33&33\div 150=&0.22\\1&30&30\div150=&0.20\\2&18&18\div 150=&0.12\\3&21&21\div 150=&0.14\\4&42&42\div 150=&0.28\\5&6&6\div 150=&0.04\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7C%7Clc%7D%5Cunderline%7Bx%7D%26%5Cunderline%7Bf%7D%26%5Cunderline%7Bf%5Cdiv%20150%7D%26%5Cunderline%7B%5Ctext%7BP%7D%7D%5C%5C0%2633%2633%5Cdiv%20150%3D%260.22%5C%5C1%2630%2630%5Cdiv150%3D%260.20%5C%5C2%2618%2618%5Cdiv%20150%3D%260.12%5C%5C3%2621%2621%5Cdiv%20150%3D%260.14%5C%5C4%2642%2642%5Cdiv%20150%3D%260.28%5C%5C5%266%266%5Cdiv%20150%3D%260.04%5Cend%7Barray%7D%5Cright%5D)
Using the formula for lines y=mx+b
To find out the gradient of the line, we do (y2-y1)/(x2-x1).
(3-6)/(-1-2)= -3/-3= 1 is the slope of the line
So far, y=(1)x+b
Now substitute one of your given coordinates into this equation:
6=2+b
b=4
Therefore, the equation of the line is y=x+4
Answer:
I dont know what you are supposed to answer with but I'll try to help you out. I take it that you have to find the letter ex. the letter <em>d</em> in 1/<em>2d</em> = 7. What you have to do is to get the <em>d</em> by itself and in order to do that you must move the 1/2 over to the 7. So what you would have to do is take the fraction that has the letter on it and move it to the whole number side or the side without the letter but without moving the <em>d</em><em>.</em><em> </em>The <em>d</em> stays on one side while the other numbers are on the other side. When you move the 1/2 over it should look like this sort of due to the limitations of only being able to use text: <em>d</em> = 7 ÷ 1/2. Now after that you have to divide 7 by 1/2 or .5 for question 13 in this instance. Your answer for 13 should be this: <em>d</em><em> </em><em>=</em><em> </em><em>4.5</em><em> </em><em> </em><em> </em><em> </em><em> </em><em>Make</em><em> </em><em>sure</em><em> </em><em>to</em><em> </em><em>show</em><em> </em><em>all</em><em> </em><em>your</em><em> </em><em>work</em><em> </em><em>just</em><em> </em><em>in</em><em> </em><em>case.</em>
13. <em>d</em> = 4.5
14. 18 = <em>f</em>
<em>1</em><em>5</em><em>.</em><em> </em><em>-</em><em>9</em><em> </em>=<em> </em><em>s</em>
<em>1</em><em>6</em><em>.</em><em> </em>-24 = <em>r</em>
17. 0.125 = <em>y</em>
18. -3 = <em>v</em>
Hope I could help as I am also a fellow 9th grader
Answer:
its answer will be 9.first by using phythagorus theorem h^2=p^2+b^2'then h=15,p=12and b=x. again by putting the values of h ,p and b we get ,(15)^2=(12)^2+x^2. 225=144+x^2, x^2=225-144, x^2=81,x=√81,x=9 answer