Answer:
The discriminant is -7
Step-by-step explanation:
The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:
Here
b is the co-efficient of x
a is the co-efficient of x^2
and c is the constant
Given equation is:
Here
a = -2
b = 5
c = -4
Putting the values in the formula for discriminant
As the discriminant is negative, the equation has no real solution.
Hence,
The discriminant is -7
Your answer is 12 because 8*4=24 and 3*4=12 Your answer is 12
The more observations you make the closer and closer the experimental probability will approach the theoretical probability. In this case the theoretical probability is:
P(HH)=(1/2)(1/2)=1/4
So in 105 trials one would expect to get two heads:
105(1/4)=26.25 times.
Answer:
Step-by-step explanation:
Find the midpoint of each frequency range, multiply that number by the frequency, sum up and divide by the total frequency.
This will give the mean number.
<u>The mean is:</u>
- [17*( 3 + 3.5)/2 + 21*(3.5 + k)/2 + 33*(k + 4)/2 + 54*(4 + 4.5)/2 + 15*(4.5 + 6)/2]/140 = 4.09
- 55.25 + 10.5k + 36.75 + 16.5k + 66 + 229.5 + 78.75 = 140*4.09
- 17k + 466.25 = 572.6
- 17k = 572.6 - 466.25
- 17k = 106.35
- k = 106.35/17
- k = 6.26
Note, I expected the value of k between 3.5 and 4. This is a bit of illogical outcome.
Answer:
The simplified form of the equation is 9x^3/10y^2 Good Luck!
Step-by-step explanation:
