Answer:
Smaller x = 1/5
Larger x = 4
Step-by-step explanation:
Firstly,
(x-4) = 0
x-4 = 0
x = 4
Secondly,
-5x +1 = 0
-5x = -1
x= 1/5
Hope it helps!
Just color one intire grid and thirty five units on the other
1. Answer:
C. 1050
Step-by-step explanation:
To find the area of a rectangle, it is length * width * height
25 * 7 = 175
175 * 6 = 1050
2. Answer:
C. 8
Step-by-step explanation:
To find the missing dimension of a rectangle, you can easily just divide the total by each dimension
540 divided by 7.5 = 72
72 divided by 9 = 8
3. Answer:
D. 31,400
(31,415.9)
Step-by-step explanation:
The radius of the cylinder is 20
The height of the cylinder 25
πr2h is the formula used to find the volume of a cylinder
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 songs: $3.96 8 songs: $7.92
Step-by-step explanation:
- Divide to find out how much it costs for 1 song.
5.94 / 6 = 0.99 <u>Each song costs $0.99</u>
- Now multiply $0.99 by (number of songs)
- 0.99 x 4 = 3.96
- 0.99 x 8 = 7.92
