Suppose the heights of professional horse jockeys are normally distributed with a mean of 62 in. and a standard deviation of 2 i
1 answer:
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Let
Then
Answer: 1¹¹/₂₀ litres
Step-by-step explanation:
The fractions need to be added.
Find a common multiple for them.
Common multiple = 20
Divide the multiple by the denominator of the fraction and multiply the numerator by the result you get:
= 1¹¹/₂₀ litres
First, let's simplify the equation.
- Set up
- Combine like terms
- Apply the Distributive Property to the right hand side of the equation
- Subtract
from both sides of the equation
Since the right and left sides of the equation are equal, we know that there must be an infinite number of solutions. This means that there is an infinite amount of values that we can substitute for for the equation to be true.
Answer:
Step-by-step explanation:
The expression which is given in the answer is called the discriminant. Because it discriminate all the types of roots which can be derived from any quadratic equation. Now imagine a standard quadratic equation:
The value of x can be derived from quadratic formula which is
x = -b±[(b^2-4ac)^(-1/2)]/2a
Now take out discriminant, which is
if you put values of a,b and c from a quadratic equation,
you can possibly have three types of discriminant values. Lets represent discriminant as D
So, D can be 0
D can be any real number greater than 0
D can be any real number less than 0
Now we will understand each.
If D = 0, you can see that the both roots will be equal, because in standard quadratic formula, discriminant will make no change either added or subtracted. So we will have equal roots if discriminant is zero. Equal roots means we will only have one value of roots.
If D is any real number greater than zero, it will be simply any real roots. There will be two values of roots, because you will first add up discriminant in quadratic formula and then subtract, because this sign ± means you have two perform both functions one by one.
If D is real number less than 0, we know that by applying square root, it will be converted into an imaginary number, a number with iota, e.g 4i. You will have two imaginary roots here due to this sign ± means you have two perform both addition and subtraction one by one.
Now the complex numbers are basically combination of real and imaginary numbers, so if discriminant has value less than zero, you would have imaginary as well as complex roots and there number will be two because due to this sign ± you have to perform addition and subtraction again.