Answer:
C.1/16
Step-by-step explanation:
When a coin is tossed 4 times, the number of outcomes are:
2^4 = 16
So,
From the outcomes, only one outcome will be when there will be all heads
So, the probability will be:
One out of the 16 outcomes
Hence, the probability of a coin landing on heads all 4 times is:
C.1/16
Answer:
Step-by-step explanation:
the quadratic function should be as follows:
Now let's confirm that the zeros of the function are 0 and 8
Therefore we can see that if x = 0
the equation is fulfilled
And we also have
for this expresion to be equal to zero:
thus, if x = 8
the equation is also fulfilled
The zeros of the quadratic function are 0 and 8.
The equation 5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0 is a quadratic equation
The value of x is 8 or 1
<h3>How to determine the value of x?</h3>
The equation is given as:
5/2 - x + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Rewrite as:
-5/x - 2 + x - 5/x + 2 + 3x + 8/x^2 - 4 = 0
Take the LCM
[-5(x + 2) + (x -5)(x- 2)]\[x^2 - 4 + [3x + 8]/[x^2 - 4] = 0
Expand
[-5x - 10 + x^2 - 7x + 10]/[x^2 - 4] + [3x + 8]/[x^2 - 4] = 0
Evaluate the like terms
[x^2 - 12x]/[x^2 - 4] + [3x + 8]/[x^2 - 4 = 0
Multiply through by x^2 - 4
x^2 - 12x+ 3x + 8 = 0
Evaluate the like terms
x^2 -9x + 8 = 0
Expand
x^2 -x - 8x + 8 = 0
Factorize
x(x -1) - 8(x - 1) = 0
Factor out x - 1
(x -8)(x - 1) = 0
Solve for x
x = 8 or x = 1
Hence, the value of x is 8 or 1
Read more about equations at:
brainly.com/question/2972832
Answer:
30
Step-by-step explanation:
1 inch / 12 miles = 2.5 inch / x Cross multiply
1*x = 12 * 2.5 Combine
x = 30 miles
X = 400!
Have a goody day:)