Answer:
Test statistic = 1.664
Step-by-step explanation:
The hypothesis :
H0 : μ = 47.2
H1 : μ ≠ 47.2
Given that :
Sample mean, xbar = 47
Sample size, n = 250
Standard deviation, σ = 1.9
The test statistic :
(xbar - μ) ÷ (σ/√(n))
T = (47 - 47.2) ÷ (1.9/√(250))
T = (0.2 / 0.1201665)
Test statistic = 1.664
Answer: The value of a is 1. The value of b is -1. The value of c is 1. The value of the discriminant is -3. The quadratic function will not intersects the x-axis.
Explanation:
The standard form of a quadratic equation is,
The given function is,
It can be written as,
By comparing this equation with the standard form of quadratic equation. we get,
The formula for discriminant is,
The value of the discriminant is -3.
If D<0, it means the function have no real roots.
If D=0, it means function have one real roots.
If D>0, it means function have two real roots.
Since D<0 it means the function have no real roots. So the function will not intersect the x-axis at any point.
0.329 is a rational number because the decimal stops. If it had continued on and on with no particular pattern, it would have been irrational. It can be a fraction too (329/1000)...
127.5 is a rational number because again the decimal ends. It can also be converted into a fraction which is another sign that it is rational (127 1/2)...
-89 is a rational number because negatives are rational numbers. It is also in the category of an integer, which means that is a rational number also...
The last one is a non-perfect square, which means no number squared could ever give you 101. When you solve for it, it is also a non-terminating decimal.
