Answer:
The group's claim is not supported at 1% significance level.
Step-by-step explanation:
given that a local group claims that the police issue more than 60 speeding tickets a day in thire area
The data they collected for 2 weeks is given below:
70 48 41 68 69 55 70
57 60 83 32 60 72 58

Std error of mean = 

(Right tailed test at 1% significance level)
Mean difference = 0.10
Test statistic t with df 13 = mean difference/std error
= 0.029
p value = 0.4886
Since p >0.01, we accept null hypothesis
The group's claim is not supported at 1% significance level.
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
.35 as a percentage would be 35%.
.35 = 35 / 100 as a fraction
Answer:
x = 4y + 28
Step-by-step explanation:
x/4 - 7 = y
+7 +7
x/4 = y + 7
× 4 × 4
x = 4y + 28