The categories are:-
1- Coffee
2- espresso cream
3- soy milk
4- whole milk
5- chocolate
6- caramel
7- whipped cream
Since John hates Caramel he hates 1 category so he likes the other 6 that means that he likes 6 of the 7 categories so he likes 6/7 of the category
So the probability is 0.86 of he liking his choice
Step 1: Pick any two points
The points are represented as (x1,y1), (x2,y2).
where x1= -4, y1= -8, x2= 0, y2= 4
Step 2: Write out the formula of the equation to use
![\frac{y-y_1}{x-x_1}=\text{ }\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By-y_1%7D%7Bx-x_1%7D%3D%5Ctext%7B%20%7D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step 3: Substituting the values and to get the equation
![\begin{gathered} \frac{y-(-8)_{}}{x-(-4)}=\text{ }\frac{4-(-8)}{0-(-4)} \\ \frac{y+8}{x+4}=\frac{4+8}{0+4} \\ \frac{y+8}{x+4}=\text{ }\frac{12}{4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7By-%28-8%29_%7B%7D%7D%7Bx-%28-4%29%7D%3D%5Ctext%7B%20%7D%5Cfrac%7B4-%28-8%29%7D%7B0-%28-4%29%7D%20%5C%5C%20%5Cfrac%7By%2B8%7D%7Bx%2B4%7D%3D%5Cfrac%7B4%2B8%7D%7B0%2B4%7D%20%5C%5C%20%5Cfrac%7By%2B8%7D%7Bx%2B4%7D%3D%5Ctext%7B%20%7D%5Cfrac%7B12%7D%7B4%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \frac{y+8}{x+4}=\text{ 3} \\ \text{Cross multiply} \\ y+8=\text{ 3(x+4)} \\ y+8=\text{ 3x+12} \\ \text{Collect like terms} \\ y=\text{ 3x+12-8} \\ y=\text{ 3x + 4} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7By%2B8%7D%7Bx%2B4%7D%3D%5Ctext%7B%203%7D%20%5C%5C%20%5Ctext%7BCross%20multiply%7D%20%5C%5C%20y%2B8%3D%5Ctext%7B%203%28x%2B4%29%7D%20%5C%5C%20y%2B8%3D%5Ctext%7B%203x%2B12%7D%20%5C%5C%20%5Ctext%7BCollect%20like%20terms%7D%20%5C%5C%20y%3D%5Ctext%7B%203x%2B12-8%7D%20%5C%5C%20y%3D%5Ctext%7B%203x%20%2B%204%7D%20%5Cend%7Bgathered%7D)
The equation that represents the graph is y= 3x+4.
Option A is the correct answer.
Answer:
what
Step-by-step explanation:
can i please have brainlyest have a good day
Answer:
56.6 yd
Step-by-step explanation:
in the picture above
pls mark as brainliest
Answer:
a) How much work has he done = dW = 1.3 × 105 J
b) What is the magnitude of the heat that he has lost = dQ = -5.4 × 105 J
Step-by-step explanation:
- From the first law of thermodynamics; dQ = dU + dW
Hence, work done dW = dQ - dU
dW = -6.7 × 105 J - ( -8.0 × 105 J)
dW = 1.3 × 105 J is the work done by the player
- for heat lost; from dQ = dW + dU
- dU = -8.0 × 105 J and dW = 2.6 × 105 J
- heat lost dQ = 2.6 × 105 J + ( -8.0 × 105 J)
- The negative is as a result of heat lost by the player