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: 3x-6
Step-by-step explanation:
Let the number be x
3 times the number is 3x
6 less than 3x is 3x-6
Answer:
29.5 inches squared
Step-by-step explanation:
The formula for the area of a trapezoid is
,
so base1 = 14 inches and base2 = 30 inches
since there is a right angle, you know that the height must equal the length of the left side, so the height = 15 inches
then, 14+30+15=59 and 59/2=29.5
therefore, your answer would be 29.5 inches squared
Answer:
$2936.79
Explanation:
The Formula for compounding interest:

F = final amount (we need to find this)
I = initial amount (900 + 250 + 300 + 1400 = $2850)
r = interest rate (1% = 0.01)
n = number of times interest applied per time period (360)
t = number of time periods elapsed (36 months = 3 years)

F = 2850(1.030454105)
F = $2936.79
In order to solve you get x by itself:
5-x=12
-5 -5
-x=7
divide by negative 1