Answer:
The dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
Step-by-step explanation:
H0 : μ = 6.5
H1 : μ > 6.5
The test statistic value = 3.30
The critical value > test statistic
The Decison region :
If; test statistic > critical value (Fail to reject H0)
If; test statistic < Critical value (Reject H0)
Given that the test statistic is > critical value ; then we fail to reject the null
Hence, the dietitian should conclude that there is no significant evidence to support the claim that the number of hours teenagers exercise per week has increased.
1. y=7-3x
4x+2(7-3x)=16
4x+14-6x=16
-2x=2
x=-1
-3+y=7
y=10
(-1,10)
2. x=2y
2(2y)+2y=4
4y+2y=4
6y=4
y=2/3
x-2(2/3)=0
x-4/3=0
x=4/3
(4/3,2/3)
Answer:
<h3>d. The roots are real, rational and equal.</h3>
Step-by-step explanation:
The discriminant of a quadratic equation is expressed using the equation:
D = b²-4ac. It talks about the nature of the roots of a quadratic equation.
If D>0, then the roots is real and unequal/distinct
If D<0 the roots are unreal and imaginary
If D = 0, the roots are real and equal (one real root)
According to this question, since the root given is a real value and also one value, then the the roots are real, rational and equal. Note that the root is rational since we can write it as a ratio of two integers e.g 34 = 34/1. 34 and 1 are integers
Sorry i really don’t know if i knew i would be more then happy to help