Answer:
Probability at least one car will get punctured: 0.39347
Step-by-step explanation:
B(10,000 , 0.00005)
P(X ≥ 1) = 1 - P(X = 0)
= 1 - (1 - 0.00005)^10,000
= 1 - (0.99995)^10,000
= 1 - 0.60652...
= 0.39347 (probability that at least one car will get punctured)
As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].
Answer:
$78
Step-by-step explanation:
To find a portion of anything, you just multiply your first item by the equivalent decimal of your percent. Let's put it into action in this problem:
If your original price of your bike is $130, and you are trying to find the sale price, which is 60% (aka 0.6) of your original price. Now, like I previously mentioned, to find the portion of your price, you just want to multiply your OG price (130) by the decimal equivalent of your sale, (0.6). So 130*0.6=78
Answer:
area of this circle: 490.6 inch²
Step-by-step explanation:
area of circle: π(radius)²
Here the diameter is given 25 inch, so the radius will be half: 25/2 → 12.5 in
using the formula:
3.14(12.5)²
490.625 inch²
490.6 inch²____rounded to nearest tenth.
Answer:
<h2>

</h2>
Step-by-step explanation:


Solve the equation for y by moving 'x' to R.H.S and changing its sign


Substitute the given value of y into the equation 5x + y = 28

Solve the equation for x
Collect like terms

Move constant to R.H.S and change its sign

Subtract the numbers

Divide both sides of the equation by 4

Calculate

Reduce the numbers with 2

Now, substitute the given value of x into the equation y = 2 - x

Solve the equation for y

The possible solution of the system is the ordered pair ( x , y )
<h2>

</h2>
-------------------------------------------------------------
Let's check if the given ordered pair is the solution of the system of equation:
plug the value of x and y in both equation


Simplify the equalities


Since , all of the equalities are true, the ordered pair is the solution of the system.

Hope this helps....
Best regards!!
X is equal 25 degrees. Line ac goes though the parallel lines. So bcd is x. Cdb is 180-50 equals 130. All angles add to 180. 180-130 equals 2X. So x equals 25.