Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
Step-by-step explanation:
<h2>You can solve this using the binomial probability formula.</h2><h2>The fact that "obtaining at least two 6s" requires you to include cases where you would get three and four 6s as well.</h2><h2>Then, we can set the equation as follows:</h2><h2> </h2><h2>P(X≥x) = ∑(k=x to n) C(n k) p^k q^(n-k) </h2><h2>n=4, x=2, k=2</h2><h2>when x=2 (4 2)(1/6)^2(5/6)^4-2 = 0.1157</h2><h2>when x=3 (4 3)(1/6)^3(5/6)^4-3 = 0.0154</h2><h2>when x=4 (4 4)(1/6)^4(5/6)^4-4 = 0.0008</h2><h2>Add them up, and you should get 0.1319 or 13.2% (rounded to the nearest tenth)</h2>
If a number's ten digit is 
and the units digit is 
, then you can write the number as 
.
Obviously, inverting the digits would lead to the number 
.
Since this new number is 36 less than the original, we have
Since we also know that the digit in the tens place is three times that in the units place, we can add an equation to form a system:
And thus 
Answer:
x=2
Step-by-step explanation:
Original width = 6
New width 6+x+x
Orignal length 12
New length 12+x+x
A = l*w
160 = ( 6+2x) ( 12+2x)
Factor
160 = 2( 3+x) 2(6+x)
Divide each side by 4
40 = (3+x) (6+x)
FOIL
40 = 18+ 6x+3x+ x^2
40 = 18 +9x+x^2
Subtract 40 from each side
0 = x^2 +9x -22
Factor
0 = (x +11) (x-2)
Using the zero product property
x +11 =0 x-2 =0
x= -11 x=2
Since we cannot have a negative sidewalk
x =2
Answer:
6 trips
Step-by-step explanation:
12 divided by 4 equals 3
18 divided by 3 equal 6
she will have to take six trips to drive 18 kilometers.
