Sometimes it will, and sometimes it won't.
I reason as follows:
(21 + x) + (30 + 2x) = 51 + 3x has an 'x' term
(42 + x) + (30 - x) = 72 has no 'x' term.
Answer:
15% discount means you're paying 85% of the marked price because total is 100% and 100-15 = 85%
Let X be the naked price
Paid = marked price - discount
Paid = X - (15/100 × X)
Using distribution property,
Paid = X(1 - 15/100)
Paid = X[(100-15)/100]
Paid = X(85/100)
Which is 85/100 × X
Hence 85% of X
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)
Both x and y equal 2.
2•2=4 + 2•2=4
4+4=8
2+2=4
To find the area of a triangle, you will times height by base and divide by then divide by two. In this case the height is 22 and the base is 10. 22 times 10 is 220. You then would divided 220 by two, making your answer 110 cm squared.