Perimeter is 36. This is because the radius and side lengths are the same in a regular hexagon.
Are is roughly 93.53.
You already know the slope is 3 and you have the point, so you would plug it into y = mx + b
-2 = y
3 = m
-5 = x
Plug in:
-2 = 3(-5) + b
Solve:
-2 = -15 + b
-2 (+15) = -15 + b (+15)
13 = b
Now you have b, so you can form the equation where the slope is 3x and the y-intercept is 13.
Final answer: y = 3x + 13
Answer:
Step-by-step explanation:
Let X be the random variable for the time needed to grade a randomly chosen first examination paper
X is N(5, 4)
a)
Time taken=11.00-6.50=4hours 10 min=25/6 hours
P(X<25/6) =P(Z<
=0.5-0.0832=0.0168
b) Time >11.10-6.50 = 4 hours 20 mint = 13/3 hours
P(X>13/3) = P(Z>-0.16) = 0.5636
Assuming there are only three colors on the spinner (black, red and white,) the probability of landing on white can be found by subtracting the probabilities for black and red from 1. This gets you 0.16, or one-sixth.
X= -4
Work: 1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4