Step-by-step explanation:
7=4y-13
7+13=4y
20/4=y
5=y
Answer:
31 units ²
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8 units
Width = 5 units
Area of a rectangle = length × width
= 8 units × 5 units
= 40 units ²
Area of of the blue square = length ²
Length = 3 units
Area of of the blue square = length ²
= (3 units) ²
= 9 units ²
Area of the orange colored part of the figure = Area of a rectangle - Area of of the blue square
= 40 units ² - 9 units ²
= 31 units ²
Area of the orange colored part of the figure = 31 units ²
Answer:
∠3=95°
∠4=85°
Step-by-step explanation:
Answer:
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
Step-by-step explanation:
H0 : μ = 37
H1 : μ ≠ 37
μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1
Decision region :
If P value < α ;
Reject H0
Using the Z test statistic :
Zstatistic = (x - μ) ÷ (σ / √n)
Zstatistic = (51 - 37) ÷ (7 / 1)
Zstatistic = 14 ÷ 7
Zstatistic = 2
Obtaining p value from Zstatistic using the p value calculator ;
Zscore = 2 ; 2-tailed test, significance level = 0.05
P value = 0.0455
Zcritical at α = 0.05 for a 2 - tailed test = 1.96
0.0455 < 0.05
There is significant evidence that treatment will create effect on the subject. Hence We reject H0
The answer is k=-1.........
