Answer:
604,800 seconds in a week
Step-by-step explanation:
hope this helps!
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
Answer:
a. We reject the null hypothesis at the significance level of 0.05
b. The p-value is zero for practical applications
c. (-0.0225, -0.0375)
Step-by-step explanation:
Let the bottles from machine 1 be the first population and the bottles from machine 2 be the second population.
Then we have 
, 
, 
and 
, 
, 
. The pooled estimate is given by
a. We want to test 
vs 
(two-tailed alternative).
The test statistic is 
and the observed value is 
. T has a Student's t distribution with 20 + 25 - 2 = 43 df.
The rejection region is given by RR = {t | t < -2.0167 or t > 2.0167} where -2.0167 and 2.0167 are the 2.5th and 97.5th quantiles of the Student's t distribution with 43 df respectively. Because the observed value 
falls inside RR, we reject the null hypothesis at the significance level of 0.05
b. The p-value for this test is given by 
0 (4.359564e-10) because we have a two-tailed alternative. Here T has a t distribution with 43 df.
c. The 95% confidence interval for the true mean difference is given by (if the samples are independent)
, i.e.,
where 
is the 2.5th quantile of the t distribution with (25+20-2) = 43 degrees of freedom. So
, i.e.,
(-0.0225, -0.0375)
Answer:
4 is the co efficient and 3 is the constant
Co efficients are when a number is close to a variable, constants are a number by itself.
Answer:
143 degrees
Step-by-step explanation:
First find angle ACB which is 180-83=97
Then angle ABC which is 180-134=46
Then angle CAB (97+46)-180=37
Finally angle HAB 180-37=143
