Answer:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
we reject the Null and we conclude that babies prefer actual speaking to humming.
Step-by-step explanation:
H0 : μ1 - μ2 = 0
H1: : μ1 - μ2 ≠ 0
Mean difference, d = 27.79
Standard deviation of difference, Sd = 63.18
Sample size, n = 50
The test statistic :
d / (Sd / √n)
Test statistic :
27.79 / (63.18 / √50)
27.79 / 8.9350012
= 3.11
Using the Test statistic score, we can obtain the Pvalue
Using the standard normal table ;
Pvalue = P(x<-Z or x>Z) = 0.0018709
Pvalue is very low
Pvalue < α ; Hence, we reject the Null and we conclude that babies prefer actual speaking to humming.
Your equation would be y = -3x + 2.
A property of parallel lines is that they all have the same slope, which means that as the slope of y = 5 - 3x is -3 (because it is attached to the x), the slope of the parallel lines must also be -3.
You can finish the equation by seeing that the point they have given you is on the y axis, as x is 0, and so it is the y intercept for this line. This means that your final equation is y = -3x + 2.
I hope this helps
F(x) = 1/2 (4)
F(3)is x =3
Evaluate
F(3)=1/2(4) (three on top aka exponet)
F(3)1/2(64)
F(3)=32 so the answer is 32
Start by making an equation.
D is your variable.
12d=1500
Then, divide each side by 12 because there are 12 months.
12d=1500
—- ——
12. 12
d=125
Diana donates $125 per month to a charity. This is because when you have a yearly sum that is paid per month, but you don’t know the per month rate, you divide the yearly amount by 12 because there are 12 months.
I really hope this helps and you get a good grade!!