Answer:
¾
Step-by-step explanation:
Length of Kerry string = 7(½) = 15/2
Length of John string = 6(¾) = 27/4
15/2 - 27/4
30 - 27/4
3/4
<u>We'll assume the quadratic equation has real coefficients</u>
Answer:
<em>The other solution is x=1-8</em><em>i</em><em>.</em>
Step-by-step explanation:
<u>The Complex Conjugate Root Theorem</u>
if P(x) is a polynomial in x with <em>real coefficients</em>, and a + bi is a root of P(x) with a and b real numbers, then its complex conjugate a − bi is also a root of P(x).
The question does not specify if the quadratic equation has real coefficients, but we will assume that.
Given x=1+8i is one solution of the equation, the complex conjugate root theorem guarantees that the other solution must be x=1-8i.
Answer:
1.3559644*10^-^5
Step-by-step explanation:
From the information given we extract the following data
Total Number of Trials (N) = 191
Required Value (x) = 181 (notice it is not 180 since at that value we have enough passengers)
Odds of success (p) = 0.85
Using the binomial formula for calculating probability, i.e.
Inputting the values
Answer with explanation:
→The Exact meaning of Probability is Chance.It Means ,that Something will happen or not in terms of rational numbers.
→As, Probability of an event lies between ,0 to 1, means ,the result is not Precise ,whether it will happen surely that is exactly 100% or it will not, that is 0%.Percentage of happening of anything lies between 0% to 100%.
→0 ≤ Probability ≤ 1,shows that ,if we represent it on the number line, it is Scattered from ,0 to 1.
These three reasons are enough to verify that, Probability can't be used to Predict exactly ,the result of an Activity.It is just representation in terms of rational number.
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
