Answer: The equation for the two given points is y=x+b
Step-by-step explanation:
Step 1. First find the slope: 6-7/2-3 = -1/-1=1. The slope is just 1, or x. So for now, the equation is y=x+b
Step 2. We must find the y-intercept, or B. We can plug in any points to find b. Let's use (2, 6) (but you can use (3, 7) too, it doesn't matter) Plug 2 in for x, since 2 represents x, and then do the same for y. ---> 6=2+b.
Step 3. Simplify. 6=2+b. 6-2=2-2+b ---> b=4. Subtract both sides by 2 to get B.
The equation for the two given points is y=x+b
Hope this helps.
A point M on the unit circle could be represented by (x , y), which coordinates are nothing but cos Ф (for x) & sin Ф (for y, hence:
tan Ф = sin Ф / cos Ф ==> tan Ф (4/5) / (3/5) ==> tan Ф =(4/3).
Now let's calculate the angle: tan⁻¹Ф ==> tan⁻¹(4/3) ≈43°
Answer:
Not independent
Step-by-step explanation:
Given that in a certain population of married couples, 30% of the husbands smoke, 20% of the wives smoke, and in 8% of the couples both the husband and the wife smoke.
Let A be the event that husbands smoke and B the event that wives smoke
Give that
To check whether A and B are independent it is sufficient to check
P(A\bigcap B)=P(A)P(B)
Right side=
Left side = 0.08
Since two sides do not equal the two events are not independent.
If your solving for x, x=2
