when coin is flipped 5 times probability is 1/2
so coin heads comes out to be 2.5
This is a binomial distribution with a probability of success = 0.5 (fair coin).
n=10
so
mean = E[x] = np =10*0.5 =5
Answer:
16.8 inches
Step-by-step explanation:
Perimeter =2(length+width) so 2·(5.6+2.8)≈16.8
~ Use the distance formula to measure the lengths of the sides.
~ Use the slope to check whether sides are perpendicular and form right angles.
~ Use the slope to check whether the diagonals are perpendicular to each.
I hope this helps ^-^
Answer:
12°
Step-by-step explanation:
Let's start with the easy first.
We know that m∠C is 39° because together ∠C and the exterior angle equal 180°. And 180 - 141 = 39.
Now, we can use this to find the remaining two angles.
180° - 39° = 141°
So, this means that we can set up m∠A + m∠B = 141°.
6x + 9 + x - 8 = 141
7x + 1 = 141
7x = 140
x = 20
Finally, we can plug in for our x value and find m∠B.
m∠B = x - 8
m∠B = 20 - 8
m∠B = 12°
Answer:
325 miles and 77 dollars
Step-by-step explanation:
First, create equations. Let x equal the miles driven. The first plan expression is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.
The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77