Answer:
H0 : μ = 8.5
H1 : μ > 8.5
1 sample t test ;
Test statistic = 2.53
Pvalue = 0.994
No, we fail to reject the Null ;
There is no significant evidence to support the Claim that the mean running time of light bulb is greater Tha last year.
Step-by-step explanation:
H0 : μ = 8.5
H1 : μ > 8.5
Test statistic :
(xbar - μ) ÷ (s/sqrt(n))
(8.7 - 8.5) ÷ (0.5 / sqrt40)
Test statistic = 2.53
The Pvalue :
P(Z < 2.53) = 0.9943
Pvalue = 0.994
Decison region :
Reject H0 ; if Pvalue < α
0.9943 > 0.05 ; We fail to reject the Null
Answer:
.180
Step-by-step explanation:
use a calculater
Answer:
x(3y - 1) and (2a - 3)(2a + 3)
Step-by-step explanation:
(1)
3xy - x ← factor out x from each term
= x(3y - 1)
(2)
4a² - 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
4a² - 9
= (2a)² - 3²
= (2a - 3)(2a + 3)
Volume of cone formula: V = PI x r^2 x h/3
Volume of sphere formula: 4/3 x PI x r^3
Cone: 3.14 x 9^2 x 9/3 = 763.02 cubic inches
1/2 sphere: 1/2 x 4/3 x 3.14 x 9^3 = 1526.04 cubic inches.
Total volume : 1526.04 + 763.02 = 2289.1 cubic inches
