Answer: 1. Yellow, green, black, white, blue, red. yes equally likely
2. heads, tails. yes equally likely
3. possibilites: yellow heads, yellow tails, green heads, green tails, black heads, black tails, white heads, white tails, blue heads, blue tails, red heads, red tails.
4. 1/12
5. still 1/12
Step-by-step explanation:
Let's call that number x, twice the number will be 2x, sum of it and 5 is, 2x+5. So if this expression is at most 15, it means, it can be only less than 15 and equal to 15. Let's show this as an inequality.
Let's solve.
![x\quad \in \quad \left[ -\infty ,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%20-%5Cinfty%20%2C5%20%5Cright%5D%20)
If the number is a natural number. The values it can take is,
![x\quad \in \quad \left[ 0,1,2,3,4,5 \right]](https://tex.z-dn.net/?f=x%5Cquad%20%5Cin%20%5Cquad%20%5Cleft%5B%200%2C1%2C2%2C3%2C4%2C5%20%5Cright%5D%20)
Answer:
57.14
Step-by-step explanation:
8/14 =x/100
cross multiply
800= 14x
x=57.1428
Answer:
y = 3x + 4
Step-by-step explanation:
✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):
Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3
m = 3
✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
b = 4
✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b
y = 3x + 4
