Answer:
y = 2x + 13
y = –x – 2
Step-by-step explanation:
21 is the least common denominator of 7 and 3
Answer:
The indicated confidence interval for the difference between the two population means is (-1.5159, 7.5159)
Step-by-step explanation:
Let the drying times of type A be the first population and the drying times of type B be the second population. Then
We have small sample sizes
and
, besides
,
,
and
. Therefore, the pooled
estimate is given by

The 99% confidence interval for the true mean difference between the mean drying time of type A and the mean drying time of type B is given by
, i.e.,

where
is the 0.5th quantile of the t distribution with (11+9-2) = 18 degrees of freedom. So
, i.e.,
the indicated confidence interval for the difference between the two population means is (-1.5159, 7.5159)
Answer:
Step-by-step explanation:
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>