Answer:
1. 
: p = 0.70 , 
: p > 0.70
2. Test Statistic : 0.54 , P value : 0.2946
3. Fail to reject null Hypothesis
4. No.
Step-by-step explanation:
1. Null hypothesis is 70% of children receive antibiotics.
Alternative hypothesis is more than 70% of children receive antibiotics.
2. Test statistic is calculated as;
z = 
z = 
z = 0.54
3. p value is calculated as;
1 - right tailed probability
1 - 0.7054 = 0.2946
72/2 = 36 the value of X is 36
Answer:
24.09
Step-by-step explanation:
42.38 - 18.29 = 24.09
Answer:
a. 26 inches by 31.2 inches
Step-by-step explanation:
The lengths(X) of the rectangular is 1.2 times longer than the width (Y), so you can put it into this equation
x= y * 1.2
x= 1.2 y
The area of the window is 811.2 square inches, so you can put this equation
x * y= 811.2
Combining both equations, you can get
x * y= 811.2
(1.2y) * y = 811.2
1.2y^2= 811.2
y^2= 676
y= 26
x= 1.2 y
x= 1.2(26)= 31.2
firstly chain rule is dy/dx = dy/du * du/dx
a) y = 5u² + u - 1 hence dy/du = 10u +1
u = 3x +1 hence du/dx = 3
so dy/dx = 3(10u +1) {sub in u and expand}
b) y= u^-2 hence dy/du = -2u^-3
u=2x+3 hence du/dx = 2
so dy/dx= 2(-2u^-3) {sub in u}
