Answer:
option B
(−1, 0) and (0, 6)
Step-by-step explanation:
Given in the question two equations,
Equation 1
y =−x² + 5x + 6
Equation 2
−6x + y = 6
plug value of y in second equation
−6x −x² + 5x + 6 = 6
-x² -6x + 5x +6 - 6 = 0
-x² - x + 0 = 0
-x² -x = 0
-x(x+1) = 0
x = 0
and
x = -1
plug value of x in second equation to find y
x = 0
−6(0) + y = 6
0 + y = 6
y = 6
and
x = -1
−6(-1) + y = 6
6 + y = 6
y = 0
Answer:
The correct option is option c.
H0: p not equal to 0.5
H1: p equal to 0.5
Step-by-step explanation:
1. H0: p not equal to 0.5
H1: p equal to 0.5
2. P cap = 104/ 260
P cap = 0.4. ( where p cap is the sample proportion)
3. Find the test statistic
Using : Z = ( p cap - p) /√ [(p ×q)/n] where p = 0.5 q= 1-p = 0.5. n=260
Z = -3.23
4. P value = 0.006
5. Since p value is less than the alpha level (0.01) . we reject the null hypothesis and conclude that the touch therapists are not effective.
